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1. An endpoint of the minor axis is at (– 1, – 10), a vertex is at (– 14, 2), ...

t (4, 2). Find the equation of the ellipse in standard form.

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irs
during primary recovery. This problem explores some aspects of this behavior.
Consider the expansion of methane from 300 bars to 50 bars at a constant temperature of 40 C (313 K).
Methane obeys the following equation of state
V =(RT/P)+C+(D/T)
where C = 31 cm3/mol, D = -693cm3K/mole, and R = 83.14bar cm3/mole K. Note that the units of
energy are bar-cm3/mole in this problem. Report your answer in bar-cm3/mole
(a) What is the change in enthalpy during the expansion
(b) What is the change in internal energy?
(c) What is the heat removed?
(d) How much work does the system do during the expansion?

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equation. please help.

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0.750 grams of hydrogen gas what is the limiting reactant? How much ammonium is produced

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rofit, p, in dollars, based on the selling price, d, in dollars, of the dresses made. The owner has noticed that the maximum daily profit the company has made is $1600. This occurred when the dresses were sold for $75 each. The owner also noticed that selling the dresses for $50 resulted in a profit of $1225. Using a quadratic relation to model this problem, create an equation for the company's daily profit.

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arch, as shown in the picture. The river is 18 m wide and the arch will be anchored on the ground, 3m back from the riverbank on both sides. The maximum height of the arch must be between 22m and 26m above the surface of the river. Create an equation to represent an arch that could meet these conditions

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10.The cost of renting a car is $46 /wk plus $0.25 /mi traveled during that week. An equation ...

esent the cost would be y=46+0.25x , where x is the number of miles traveled.
a. What is your cost if you travel 59 mi?
The cost is $
43.26
.
b. If your cost was $66.25 , how many miles were you charged for traveling?
You were charged for traveling
66.51
miles.
c. Suppose you have a maximum of $100 to spend for the car rental. What would be the maximum number of miles you could travel?
The maximum number of miles you could travel is
Number

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given characteristics then describe the functions as a
transformation of the basic trigonometric type.
amptitude=5
period=120 deg
equation of axsis= y=2
phase shift 30 left
type sine

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12.I am trying to figure out how to use the equation of a rainbow so I can make one with ...

istance of where I’m trying to make the rainbow from start to end is 126 blocks and I have no clue how to calculate this but if you could help me out I’d really appreciate it!

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has a normal of y=−1/62x−3474/31 at x=−4, and has a tangent line of y=−34x+40 at x=2.

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15.What is the equation of the line that passes through the point (4,3)(4,3) and has an undefined slope

is number that can be binary system, decimal system, hexadecimal system.
2. For each of the following pairs of sets, determine if they are disjoint, equal, one is a proper subset of the other, or none of the above. Provide evidence for your answer (i) Q×Z and R×Z (ii) R−ZandQ (iii) {−x|x∈Z}andZ (iv) {x^2 |x∈Z}andZ

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b is number that can be binary system, decimal system, hexadecimal system.
2. For each of the following pairs of sets, determine if they are disjoint, equal, one is a proper subset of the other, or none of the above. Provide evidence for your answer
(i) Q×Z and R×Z
(ii) R−ZandQ
(iii) {−x|x∈Z}andZ
(iv) {x^2 |x∈Z}andZ

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b are whole numbers. another quadratic equation of the form x^2+12x+d=0 can be factored in the form (x+e)(x+f)=0, where e and f are whole numbers. which do you think is greater, c or d?

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19.Write and solve an equation to find the value of x so that the figures have the same area. The area ...

of a trapezoid is 1/2 h(b1+b2)

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?
IO3− + I3− → I2

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has a negative fraction

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DNA duplex.
2. Draw the structure of keto and enol form of guanine and explain how the enol form differ in H-bonding pattern compared to the Keto Form?
3. starting with michaelis menten equation explain how "kcat/Km represents an apparent second-order rate constant.
4.

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3y - 18 = 0 and perpendicular to 4x - 9y = 27

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24. In the year 2000, the population of humpback whales in the Gulf of Maine was estimated to be 657. ...

cientists believe the population will grow by about 6.3% every year. Write an equation for the number of whales here every year after 2000

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L: labor 1. Derive the per-worker production function (y). 2. Assume that each period the economy saves a fraction s of its output to make investment in capital. Capital stock depreciates at the rate of d. Population grows at the rate of n. Derive the equation that describes the accumulation of capital per worker (Dk).

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reaction between A(g) and X(g). What is the amount of heat released when 10 mol of A(g) reacts with an excess X(g) ?
ΔH
A -236kJ
X -136kJ
Y -167kJ
Using the heats of formation found in the table above, calculate ΔH for the reaction below.
6A(aq) + 7X(g) → 6Y(l)
Y + 2X → 4Z ΔH=-4
A + 3B → 2Z ΔH=-2
A → X +C ΔH=7
Using the thermodynamic data above, determine ΔH for the reaction below.
2C+ 6B → Y
When 0.3 moles of A(s) (4 grams) is dissolved in 12 grams of water at 23°C, the temperature of the water increases to 31°C. The specific heat of water is 4.18 J/g°C.
Calculate ΔH in kJ/mol. Report your answer to 1 decimal place.

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rmic reaction between A(g) and X(g). What is the amount of heat released when 10 mol of A(g) reacts with an excess X(g) ?
Report your answer to the nearest whole number.

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a in the form y = (x – h)2 + k.

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5 moles of CH3I were combined with an excess of NO2 gas, how many grams of I2 would form?

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at is the molarity of the hydrochloric acid solution? (HINT: Write and balance the equation first!)

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tion. What is the molarity of the calcium hydroxide solution? (Write and balance the equation first!)

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2 (g) + H2O (l) + 2KCl (aq)
Group of answer choices
2H+ (aq) + 2OH- (aq) → 2H2O (l)
NR (no reaction)
2K+ (aq) + SO32- (aq) + 2H+ (aq) + 2Cl- (aq) → SO2 (g) + H2O (l) + 2KCl (s)
SO32- (aq) + 2H+ (aq) → SO2 (g) + H2O (l)
2K+ (aq) + SO32- (aq) + 2H+ (aq) + 2Cl- (aq) → SO2 (g) + H2O (l) + 2K+ (aq) + 2Cl- (aq)

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h type of reaction is this?

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titrated with a 0.200 M solution of the base, LiOH.
Write the balanced chemical reaction for neutralization reaction:
HClO4 (aq) + LiOH (aq) → LiClO4 (aq) + H2O (l)
Write the NET ionic equation for the neutralization reaction.
OH⁻ (aq) + H⁺ (aq) → H2O (l)
Compute the pH of the titration solution. Show your work
i) before any of the base is added
ii) after 25. mL of base is added
iii) after 50. mL of base is added
A student performs the titration with the same chemicals but with smaller volumes of each chemical . Which of the following titration curves could represent the titration. Explain
A because this entails a strong acid and a strong base.
Question 2
A student performs a titration of an unknown acid with a strong base and gets the following titration curve:
a) The student consults the list of pKa of acids shown below. If the acid is listed in the table below, which is the most likely identity of the unknown acid? Explain.
Acid
Ka
HF
7.2 x 10-4
CH3COOH
1.8 x 10-5
H2CO3
4.3 x 10-7
HBrO
2.0 x 10-9
The unknown acid is HBrO because the calculated Ka is in between 50^-4 and 50^-6 and 2.0 x 10^-9 lies in between them.
b) What is the initial molarity of the acid?
10^-3 = 0.001M
Question 3
a) Describe the components and the composition of an effective buffer solution. Explain how the components of the buffer allow the buffer to maintain its pH.
An effective buffer solution has a weak acid and its conjugate base or a weak base and its conjugate acid. A buffer solution is most effective when the ratio of its component concentrations is close to 1, also when the pH is equal to the pka of the acid.; The components of the buffer allow the buffer to maintain its pH because buffers can absorb excess H+ions or OH– ions.
An employer is interviewing four applicants for a job as a laboratory technician and asks each how to prepare a buffer solution with a pH of 5.0. The following constants may be helpful: hydrazoic acid, pKa = 4.74 Boric acid, pKa = 9.23
Archita A. says she would mix equal molar solutions of hydrazoic (HN3) and sodium azide (NaN3) solutions.
Bradley B. says she would mix equimolar Boric acid (H3BO3) and HCl solutions.
Carlos C. says he would mix equimolar Boric Acid (H3BO3) and sodium dihydrogen borate (NaH2BO3) solutions.
Delia D. says he would mix equimolar hydrazoic Acid (HN3) and NaOH solutions.
b) Which of these applicants has given an appropriate procedure? Explain your answer
Delia because she is using Sodium hydroxide which results in a pH of 5. NaOH is a strong base and in order to have an effective buffer a weak acid must be incorporated which is the HN3.
c) Explain what is wrong with the erroneous procedures.
The rest all incorporate a strong acid and a strong base or a weak acid and a weak base which don’ result in an effective buffer.
d) The applicants have access to the 1 Liter volumes of each of the solutions listed above. They have access to graduated cylinders. In order to make 1.0 Liter of the correct 5.0 buffer solution, what volumes of the two chemicals must be mixed?

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s.
d = 14h
The variable h represents the number of hours spent doing yard work, and the variable d represents the amount of money earned. How many hours in all will it take Kevin to earn $14?

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reviations (s), (l), or (g) for solid, liquid, or gas, respectively. Use (aq) to indicate the aqueous phase. Indicate appropriate charges on negative and positive ions if they are formed.

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37.The GREY CUP (Canadian Football) is played on a rectangular field. The area (A, in m2) of the field ...

is given by the equation , where x is the width of the rectangle in metres. A= -x2 + 10x
Make a table of values for this relation in the chart below.

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39.Write an equation to represent the relationship between the step number, , and the number of dots,

-2. Pick one.
y=1\frac{1}{4}y=1
4
1
y=-2x+\frac{3}{4}y=−2x+
4
3
y=\frac{3}{4}x-2y=
4
3
x−2
y-\frac{3}{4}=-2\left(x+2\right)y−
4
3
=−2(x+2)

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:) I was wondering in the equation z^4 = m/(square root of 2) + (m/(square root of 2)) i
with the answer saying the second line is z = m cis (pi/4)
where they got the 4 from. did they get it from z^4 or something? thanks!

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perties:
Center at the point (-4, 8)
Tangent to the y-axis

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44.I am trying to figure out the optimal radius that will give the lowest surface area of a cylinder. I ...

have done the calculus which reveals that the surface area is at a minimum when height is double the radius. I am now trying to find an equation for the relationship between the amount of wasted surface area as a percentage of the minimum surface area and the ratio between height and radius.
If I were to plot it on a graph, the y axis would be the percentage of excess materials needed as a percentage of the minimum possible surface area, and the x axis would be height divided by radius. Since the surface area is minimized when height=2(radius), I know that when x=2, y=0.
The website https://www.datagenetics.com/blog/august12014/index.html explains what I am trying to do quite well and shows the graph below. I am trying to find the equation for this graph, but am unsure how to go about it.

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Your answer should be written in slope-intercept form.
P(0, 0), x = −4y − 18

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46.4. The diameter of a circle has endpoints P(-4, -6) and Q(12, 4). Write an equation for the circle. ...

ircle. Be sure to show and explain all work.

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certain objects. So in this case, I derived a log spiral equation in polar coordinates to model an spiral galaxy. I plan on finding the area as well as volume of the galaxy using the function which I have derived. So is there any way, I could integrate these spiral functions to find area?

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50.The equation of a helix is x=2 sin 2t, y=2 cos 2t, z=3t. a) Find the arc length s from ...

arbitrary point (2 sin 2t, 2 cos 2t, 3t) on the helix. b) Compute the arc length from (0,2,0) to (0,-2,3π/2) c) Compute the vectors T, N and B at (0,-2,3π/2) d) Compute the curvature at (0,-2,3π/2) e) Find the angle between T and the z-axis at (0,-2,3π/2) to the nearest tenth of a degree.

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51.The equation of a helix is x=2 sin 2t, y=2 cos 2t, z=3t. a) Find the arc length s ...

an arbitrary point (2 sin 2t, 2 cos 2t, 3t) on the helix.
b) Compute the arc length from (0,2,0) to (0,-2,3π/2)
c) Compute the vectors T, N and B at (0,-2,3π/2)
d) Compute the curvature at (0,-2,3π/2)
e) Find the angle between T and the z-axis at (0,-2,3π/2) to the nearest tenth of a degree.

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y: When income is $1000, the expenditure on consumer goods is $800. Whenever income increases by 100, the expenditure on consumer goods increases by 80.
(a) find the slope of the consumption function
(b) find the equation of the consumption function
(c) find the consumption when income is $7000
Question 8 options:
i)
(a) m = 4/5
(b) c(I) = (4/5) I + 80
(c) 5680
ii)
(a) m = 4/5
(b) c(I) = (4/5) I + 880
(c) 5660
iii)
(a) m = -4/5
(b) c(I) = -(4/5) I + 800
(c) 600
iv)
(a) m = 4/5
(b) c(I) = (4/5) I + 7000
(c) 7600
v)
(a) m = 4/5
(b) c(I) = (4/5) I + 0
(c) 5600

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54.Question: What are the possible values of a and b so that the equation 6+a=b is true? Explain your ...

reasoning.
Response: Possible values for a in this problem would be a-6. Possible values for b can be any number both positive or negative.
Is the argument sound or flawed? Explain why you believe it is sound or flawed.

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through the tangent point.

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action between an aqueous solution of Ammonium phosphate and the aqueous solution of Chromium (II) nitrate. Make sure to include physical states in all three equations.

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57.At a price of $1.04 per roll, the supply of toilet paper in a large town is 25,000 rolls, and ...

mand is 18,200 rolls. When the demand increases to 26,200 rolls, the supply is 20,000 and the price is $1.24 per roll. Let x be the quantity in thousands of rolls. The table below gives the price-supply and price-demand equations.
Price Equations for Toilet Paper
Type Equation
Price-Supply P = -0.04x + 2.04
Price-Demand P = 0.025x + 1.495
QUESTION 1
Find the supply at a price of $2 per roll.
1000 rolls
10,000 rolls
1 roll
5000 rolls
QUESTION 2
Find the demand at a price of $2 per roll.
20.2 rolls
202 rolls
20,200 rolls
500 rolls
QUESTION 3
Use the substitution method to find the equilibrium quantity. Round x to the nearest tenth first and then convert to thousands. Include the units in your answer.
QUESTION 4
What is the equilibrium price? Write the answer in dollars and cents, rounding to the nearest cent.

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58.Suppose an 8-digit code is generated at random (each digit any of 0-9). Let E be the event that the ...

code contains at least one 0 and let F be the event that it contains no 9s. Use an appropriate equation to determine whether or not E and F are independent.

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60.4x^2-16y=15-y Solve the equation for y and determine if the equation defines y as a function of x

le above gives values of the functions and their first derivatives as selected values of x. The function h is given by the equation h(x) = f(g(x))-6
b) find the rate of change of h for the interval 1>x>3. Graph in picture

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ble above gives values of the functions and their first derivatives as selected values of x. The function h is given by the equation h(x) = f(g(x))-6
a) find h’(3)
b) find the rate of change of h for the interval 1>x>3.
Graph in picture

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ion
Determine the type of system of linear equation using ratio test.
a. 2x+ y=6 and 4x+ 2y=12
b. 4x+ 2y= 16 and 2x+y= 11
C. 2x+ y=16 and x+2y= 11 4x+ 2y 12

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terms of a and b.
(ii) Explain why a ≠ -3/4b '
(
b) A cylinder has a length equal to 3 times its diameter. Find the total area of the
cylinder as a function of its radius.

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65.A rare coin was bought for $1200 and its value increases by 5% each year. ...

algebraic equation for the value of the coin over time.
b) When will the coin be worth $1344.69 ?

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elation) and write your analysis about the relationship between two variables in 2 or 3 sentences. Draw the line of best fit for your scatter plot Write the equation of line of best fit.

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eanuts to make the rest of the money for the field trip. They make $6 for each jar they sell.
The diagram shows how the parts of this problem are related.
Which equation can be used to find n, the number of jars they need to sell?
Math item stem image

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nd passes through the point (3,6).

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units.
Chemical Equation: Write a generic chemical equation for the dehydration of cobalt (II) chloride ∙ x hydrate (include the state symbols of the reactant and two products). [T2]
Mass of Reactants and Products:
a) Calculate the initial mass of the hydrated cobalt (II) chloride. [T1]
b) Calculate the final mass of the anhydrous cobalt (II) chloride remaining in the cruiio8icible. [T1]
c) Calculate the mass of water given off by the sample of hydrated cobalt (II) chloride. [T1]
Moles of Products:
a) Calculate the moles of anhydrous cobalt (II) chloride remaining in the crucible. [T1]
b) Calculate the moles of water released from the hydrate. {T1]
4. Mole Ratio
a) Create an experimental mole ratio between the b) and a). [T1]
5. Formula of Hydrate: State the chemical formula you have determined for this hydrate.
Round the formula to the closest whole number value for x. [T1]
Discussion/Conclusion Questions: [T6]
Based on the chemical formula of the hydrate, calculate the percentage composition (percent by mass) of the hydrated cobalt (II) chloride. Remember to determine the percentage of each element (Co, Cl, H, and O). [T2]
A possible source of systematic error in this experiment is insufficient heating. Suppose that the hydrate was not completely converted to the anhydrous form. Describe how this would affect: the calculated percent by mass of water and the experimental molecular formula (i.e. would x be higher, lower or the same).
Suppose a student spilled some of the hydrated cobalt (II) chloride. Describe how this would affect the calculated percent by mass of water (would it be higher, lower or the same) and the experimental chemical formula of the hydrate. [T2]

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bottom of the roof lie on the x-axis. The equation of the function describing the cross-section is h(x)=-|6x|+7, where h is the height of the roof, in metres, and x is the horizontal distance from the centre of the roof, in metres. To the nearest tenth of a metre, what is the width of the bottom of the roof?

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73.A ski slope can be modelled by the equation of the tangent to the curve, S=-0.12x^2 + 12 at the ...

int where x = 30
Find the equation of the tangent line which models the ski slope.

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74.A ski slope can be modelled by the equation of the tangent to the curve s=-0.12x^2 + 12 at the ...

where x=30
Find the equation of the tangent line which models the ski slope?

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d lead (II) sulfate precipitates
(a) Write a balanced chemical equation for the reaction
(b) Write the net ionic equation for the reaction
(c) What type of reaction is occurring?
(d) What is the limiting reagent? The excess reagent?
(e) How many grams of lead (II) sulfate are formed?
(f) In the lab, a chemistry student mixed the two solutions together and formed 9.40 g of lead (II) sulfate. What percent yield did the student obtain?

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d doesnt deserve a job thank you

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countered (unidirectional flow or parallel flow). The planer walls and the fluids are initially at rest. Lower plate moves to left and upper plate to right. Let the fluids be an oil, where kinematic viscosity (ν) = 2.17 x 10-4m2/s and the distance between both plate (h) is 10 mm. U0 = 0.4 m/s I need to find the governing equation, boundary conditions, initial conditions and to derive velocity distribution in steady state.
Also, Use FTCS explicit method to calculate the velocity distribution as a function of time by implementing these governing equation in Matlab

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le of values, specifically problem two on the attached file

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rts to the fireworks platforms: one part is on the ground and the
other part is on top of a building. You are going to graph all of your results on one
coordinate plane. Make sure to label each graph with its equation. Use the following
equations to assist with this assignment.
• The function for objects dropped from a height where t is the time in
seconds, h is the height in feet at time it t, and 0 h is the initial height is
2
0 ht t h ( ) 16 =− + .
• The function for objects that are launched where t is the time in seconds, h is
the height in feet at time t, 0 h is the initial height, and 0 v is the initial velocity
in feet per second is 2
0 0 ht t vt h ( ) 16 =− + + .
Select the link below to access centimeter grid paper for your portfolio.
Centimeter Grid Paper
Task 1
First, conduct some research to help you with later portions of this portfolio
assessment.
• Find a local building and estimate its height. How tall do you think the
building is?
• Use the Internet to find some initial velocities for different types of fireworks.
What are some of the initial velocities that you found?
Task 2
Respond to the following items.
1. While setting up a fireworks display, you have a tool at the top of the
building and need to drop it to a coworker below.
a. How long will it take the tool to fall to the ground? (Hint: use the first
equation that you were given above, 2
0 ht t h ( ) 16 =− + . For the building’s
height, use the height of the building that you estimated in Task 1.)
b. Draw a graph that represents the path of this tool falling to the
ground. Be sure to label your axes with a title and a scale. Your graph
should show the height of the tool, h, after t seconds have passed.
Label this line “Tool”.

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aches its highest point of 20 feet above a point 60 feet away from you, how far away from you will the object land? What's the equation the objects height?
I know the first part, but I dont know what the equation would be not given initial velocity.

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85.1. Suppose that X0 =100. (a) Find (by hand) the next four terms of the difference equation ...

d by Xn+1 = 2.5Xn + 3n. In other words, find X1, X2, X3 and X4. (Note: Show all of your work. You may enter this difference equation and initial value in your calculator to confirm that you did the calculations correctly.)

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86.A small object is thrown vertically up, 20 m from the surface of a planet, reaching a maximum of 36 ...

m high, 2 s into its flight.
Write the equation relating the object’s height (y) to time (t), in the vertex form: ???? = ????(???? − ℎ)+2

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87. A small object is thrown vertically up, 20 m from the surface of a planet, reaching a maximum of ...

m high, 2 s into
its flight.
Write the equation relating the object’s height (y) to time (t), in the vertex form: ???? = ????(???? − ℎ)
2 + �

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by the equation LaTeX: Q\left(t\right)=2000e^{-0.05t}Q ( t ) = 2000 e − 0.05 t. How many grams remain after 25 seconds? Round to the nearest gram.

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89.I'm stuck on this problem regarding finding the speed of a cart moving down and then up a slope from ...

rest. The current unit that our teacher has us on so far is centripetal motion, and I can't recall being taught how to solve this. File attached below shows my work so far, I don't necessarily need the work done for me, but I just want to be put on the right track, such as an equation to start with or what I need to look for. The answer I got was clearly incorrect for part a (which is what I need help with), so please help me get going in the right direction.

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90.its a couple of questions that i can show you Which choice a to d, is NOT an solution to ...

n 2 to the power of t space equals space square root of 10 ?
a. 1 half log subscript space 2 end subscript 10
b. log space subscript 2 space square root of 10
c. log space subscript 4 10
d. log space subscript 10 space 4

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e form f(x)=a(x-h)^2+k

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44t, where t is the time in seconds. Find the average rate of change in the height of the firework from when it reaches the maximum height until when it reaches the ground.

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on of the parabola in vertex form ‘passes through (13,8) and has a vertex of (3,2)’”and “Write an equation of the parabola in intercept form ‘x-intercepts of 12 and -6; passes through (14,4)

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chets and sells baby blankets, b. Each blanket requires 3 skeins of yarn, and the total number of skeins Facundo uses, y, varies directly as the number of blankets he crochets, b.
Write an equation that models this relationship.
2. The weight of an object, w, varies inversely as the square of its distance from the center of Earth, d. When an astronaut stands in a training center on the surface of Earth (3,960 miles from the center), she weighs 155 pounds. To the nearest tenth of a pound, what will be the approximate weight of the astronaut when she is standing on a space station, in orbit 240 miles above the training center?
3. The square of g varies inversely as h. When g = 16, h = 2. What is the value of h when g = 40?
4. The number of days, d, it will take Manny to read a book varies inversely as the number of pages, p, he reads per day. If k is the constant of variation, which equation represents this situation?
5. The battery life for Bruhier’s cell phone is longer when he has fewer apps running. When only one app is running, the battery will last for 16 hours. When four apps are running, the battery will only last for 4 hours.

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er for a general idea where to start and she told me I need to rewrite the equation below and plug in 10 for T because its the period.

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102.Determine all possible values of n, where ∈ ℝ, such that the cubic equation 3x^3 + 11x^2 + 8x+ ...

+ 8x+ n= 0 has only two roots. Hint: This means that you have a second
order root.

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103.I need to change this equation so the (a) is on the other side of the =sign so it can ...

d of like this
(equation0)=a
(0.045521×2902.72+0.121146×a) / (0.045521+0.121146) = 3000

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total.... Need to define variables and setup necessary equation to answer the question.... How can I do this? I'm having trouble.... Whatever I try never works out right...I thought it was y+(x+9)=81, but that didn't calculate correctly

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risen to 28. Create the exponential formula for this
situation. Use appropriate variables other than ‘x’ and ‘y’ in your formula.
Create the graph of this formula in Excel and label the axes properly. Display
your equation on the graph.

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Use your result in (a) to solve the system:
■(x&+2y&+z&=1@x&y&+2z&=2@x&+y&+2z&=3)
Question#2 (5) (modified from #13 p. 102 in your book)
Solve the matrix equation for X
X[■(1&1&1@1&2&0)]=[■(1&1&1@3&4&2)]
Question#3 (5) (modified from #9 p. 102 in your book) Let
[■(a&0&b&2@0&a&3&6@0&a&b&c+2)] be the augmented matrix of a linear system.
Find for what values of a,b,c the system has:
(i) a unique solution
(ii) a one-parameter solution
(iii) a two-parameter solution
iv) no solution
Question#4 (7) Write the matrix A=[■(-1&1&-1@1&1&-1@1&-1&2)] as a product of elementary matrices
Question#5 (3) Find the determinant by any method:
|■(0&-1&0&0&1@1&1&1&3&1@1&2&3&1&2@1&-1&0&3&1@1&-1&1&0&1)|
Question#6 (3-2)Given thissystem:
■(x_1&+2x_2&+x_3&=1@x_1&-〖3x〗_2&+0x_3&=2@x_1&+0x_2&+2x_3&=3)
a) Use Cramer’s method to solve for x_1 only
b) Solve for the other variables by any method.

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110.A quadratic relation has an equation of the form y = a(x - r) * (x - s) . The ...

has zeros at (2, 0) and (- 6, 0) and passes through the point (3, 5) . Determine the value of a.

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of years it was purchased. How much will the antique be worth in 10 years

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113.What is the equation of a hyperbola centered at the origin with x-intercepts ±3 and asymptote y=2x?

seen an equation of a circle this is moved in both the x and y direction be converted to a polar equation.
For example, I know that the equation of a circle x^(2)+(y-2)^(2)=4 is r=4sin(theta) when converted to polar. Same thing for a translation with the x variable. However, I have never seen, nor do I know how to do, a conversion of a circle with both translations. For example, converting this equation of a circle to a polar equation: (x+3)^(2)+(y-4)^(2)=4. I have no idea how to do such a thing and cannot find any examples of such.
Hope you can shed some light on this, Thanks.

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115.I'm not sure how to write an equation for the area of the curved surface of a cylinder with only ...

sum of the radius and height.

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utions a rational equation can have is indicated by the degree of the polynomial in the numerator. The polynomial is fully simplified."

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122.suppose a parabola has a vertex of -8 and -7 and also passes through the points -7 ,-4 write the ...

ation of the parabola in vertex form

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123.Find an equation of the line passing through the pair of points. Write the equation in the form Ax + ...

By = C. (7,8), (6,-5)

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124.For a second-degree function f (x), its line of symmetry has the equation x = 5 and that f (2) ...

Determine f (8) and justify the value.

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2y^2-xy)xdy=0 given that y=1 when x=1

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dth of the field? Develop an equation and solve.

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to the line x = -9.

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131.We consider a L=3m bridge modeled by a 1d bar subject to a h=1m snow load. The pressure load ...

iven by
a=x0= 0m x1=1m x3=2m b=x3=3m
The equation for the 1d bar bending is given by :
Data : P=20.Pa, T=10000.N/m a=0., b=5. et
The bar is discretized into n=4 points with a constant spacing .
1) Considering the Taylor expansion of and
2) Replacing the approximation in the bending equation, show that we have the following
Discrete approximate problem
where , ,
3) Solve the linear system using both direct Gauss and Gauss-Jordan methods and plot the curve
4) Using numerical integration, compute the approximate

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nbow is the shape of a parabola.
The equation for this parabola is y = -x2 + 36.
Graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0.
Create a table of values for a linear function. A drone is in the distance, flying upward in a straight line. It intersects the rainbow at two points. Choose the points where your drone intersects the parabola and create a table of at least four values for the function. Remember to include the two points of intersection in your table.
Analyze the two functions. Answer the following reflection questions in complete sentences.
What is the domain and range of the rainbow? Explain what the domain and range represent. Do all of the values make sense in this situation? Why or why not?
What are the x- and y-intercepts of the rainbow? Explain what each intercept represents.
Is the linear function you created positive or negative? Explain.
What are the solutions or solution to the system of equations created? Explain what it or they represent.

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e a look at this spreadsheet so I can properly explain:
https://docs.google.com/spreadsheets/d/1lEJIPiSZJk9LYUTSA4oeDwyLXCVd18Zdewm6gnjxcXo/edit?usp=sharing
Ok, so for the sake of simplicity We'll just go with row two here. Cell A2 represents the hours worked freelancing, where B2 is for the minutes of the recorded time frame. C2 is the net amount earned in that time. Over in cell N10 I need to figure out an equation using the =SUM() function (treats it as a normal math problem) where it prints the hourly income based on those three integers. I'll admit i was never great at math, but in my defense I've been up since 6 am yesterday (currently 3 pm) and have been running solely on caffiene and nicotine haha... The sheet is editable and I can see any changes you make in realtime. Is there any way you could help me out on this one? It's for a work report type thing.

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135.The length and width of a box varies indirectly to each other. If the length is 8 inches the width ...

s 75 inches. If the length is 20 inches, the width is 30 inches. Write an equation to relate the length and width of the box in this situation.

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54.
Which equation can be used to find the number of pennies Ari has?

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01, and 0.01 p. The second row shows Nickels, with the entries, 22 minus p, 0.05, and 0.05 left parenthesis 22 minus p right-parenthesis.
Ari has a total of 22 coins consisting of pennies and nickels. The total value of the coins is $0.54.
Which equation can be used to find the number of pennies Ari has?

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f $490 , and he is going to put in $70 per month. Maria opened her account with a starting amount of $670, and she is going to put in $40 per month.
Let x be the number of months after today.
(a)For each account, write an expression for the amount of money in the account after x months.
(b)Write an equation to show that the two accounts have the same amount of money.

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140.You have 100 feet of fencing to enclose a rectangular yard and plan to use part of a 250-ft straight ...

wall as one
side of the rectangle. Let x represent the length of wall you will use.
A)a. Write an equation for the area A of the rectangular yard (in terms of x).
B)What is the domain of A as a function of x? Explain.
C)c. What is the range of A? Explain.

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ns or all of them thanks.

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x0) being impossible to find so it can be dropped. My lecture notes also say f(x) = f(x0) + integral of f'(t)dt with upper bound x and lower bound x0. I'm just confused as to which is the tangent line approximation because they seem to be different equations. If the integral is evaluated on the 2nd one it gives f(x)-f(x0) but the 2nd term for the first equation (dropping R1(x;x0) gives xf'(x0)-x0f'(x0) which seems to be a different term to me. So I'm wondering which is the tangent line equation (or if the tangent line equation has more than 1 unique form) or how the second one equals the first if they are equal.

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143.Let R be the region bounded by the graph of y=x^4 and the line y=16. There exists a number k, ...

such that when R is revolved about the line y=k, the resulting solid has the same volume as the solid resulting when R is rotated about the x-axis. Write an equation involving integral expressions that can be used to find the value of k, and then solve for k.

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em.
Joe is taking trip in the summer of 2020. He owes $3745. He opens a new account to start saving money. He plans to put $400 into the account every month. The account accrues 2% on the last day of every month. How long will it take him to reach his goal of $3745. Exact answer not rounded.

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Write a linear equation giving the median salary y in terms of the year X Then use the equation to predict the median salary.

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147.I have a question of integer exponents and how to find the exponent that makes and equation equal.

148.Help pls huhuhuhu. Find the equation of the circle whose center is on line 2x + 3y - 6 and ...

o the x-axis of (3,0)

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150.An object is launched upward at 64 ft/sec from a platform that is 80 feet high. What is the objects ...

maximum height if the equation of height (h) in terms of time (t) of the object is given by h(t) = -16t^2+ 64t + 80?

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151.An object is launched upward at 64 ft/sec from a platform that is 80 feet high. What is the objects ...

maximum height if the equation of height (h) in terms of time (t) of the object is given by h(t) = -16t^2 + 64t + 80?

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rt. How does it make u pay less interest and have less interest:
Vn+1 = 1.00405Vn - 1817.35, Vo= 34400
The term of the loan is 30 years with monthly payment of 1817.35 at an interest rate of 4.86 p.a
Pls tell me the answer regarding this particular equation
Q2) How much of the principal has been repaid? Fv - Vo is this the correct formula
Q3) Superannuation
Something like if u add money without tax why does it benefit your super account
I’m sorry to disturb you but I was hoping you could help as tmrw is my last writing lesson for my sac

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swer, that is not related to other answer(s)
- Multiple choice question with 1 answer, that is slightly related to some of the other answers
- Multiple choice question with 1 answer, that is highly related to some of the other answers
- Multiple choice question with multiple answers, that are not related
- Multiple choice question with multiple answers, that are slightly related
- Multiple choice question with multiple answers, that are highly related
... Respondent A then provides a level of significance to the question from 0-5
Respondent B then answers the same question and significance level.
Then, I'm looking to correlate the responses, with significance level, from respondent A & B.
I can provide additional material to clarify the equation further, with examples. Thanks in advance!

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of anesthesia in the bloodstream after t hours is: f(t)=Ae^-kt
Assume that after 1 hours the concentration is 40mg. After 3 hours it is 25mg. Solve for A and k using algebraic methods.

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ter it first opens.
Time (days), x 3 4 7 10 12 13 17 18 21 27 30
Number of personal recommendations, y 12 14 18 23 28 31 46 50 67 118 157
(a) Write the exponential regression equation that models the data.
(b) Use the equation to estimate the number of personal recommendations 60 days after Jackson opens his business. Show your work.

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ter it first opens.
Time (days), x 3 4 7 10 12 13 17 18 21 27 30
Number of personal recommendations, y 12 14 18 23 28 31 46 50 67 118 157
(a) Write the exponential regression equation that models the data.
(b) Use the equation to estimate the number of personal recommendations 60 days after Jackson opens his business. Show your work.

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ed in Earth years), required for a planet to orbit the Sun varies directly with the cube of the mean distance, a (measured in billions of miles), that the planet is from the Sun.
A) Use Uranus’s time of 84 and mean distance of 1.784 billion miles, find the equation relating T and a.
B) Use the result from part a. to determine the time required for Pluto to orbit the Sun if its mean distance is 3.67 billion miles.

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ed in Earth years), required for a planet to orbit the Sun varies directly with the cube of the mean distance, a (measured in billions of miles), that the planet is from the Sun.
A) Use Uranus’s time of 84 and mean distance of 1.784 billion miles, find the equation relating T and a.
B) Use the result from part A. to determine the time required for Pluto to orbit the Sun if its mean distance is 3.67 billion miles.

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nd the equation of the line.

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t (-7,-1). Find the equation of the line.

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ned online. Using technology, with x representing the ratings and y representing price, we find that the regression equation has a slope of 130 and a y-intercept of negative 363. Complete parts (a) and (b) below.
a. What is the equation of the regression line? Select the correct choice below and fill in the answer boxes to complete your choice.

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164.Given the points on a line below : x (2,4) y (10,16) (i) Find the values of m and c (ii) ...

hat is the equation of the line passing through the points ?
(iii) Using the equation of the line. For a y value of 28, what is the x value?

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5
Passing through the point of (-4,5)

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ing through the point of (-4,5)

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4 units.
Let g(x) represent the new function. What is an equation for this function? g(x) =

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168.Three more than two-thirds of a number is the same as 1 less than twice the number. Let x be ...

ber. Write and solve an equation to find x.

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lly so that in six years the balance of the account will be $4000?"
How do I set up the equation for this and then what do I do to solve it and get the answer to the question?

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ed to design the water, wastewater, and stormwater systems for an addition to a building at our university. I have the maps of the existing systems and I am planning to use these existing systems as much as possible to avoid extra work. I have calculated a water demand and fire flow for the building. I believe I have to use mannings equation for the water pipes to determine flow, etc. I am not sure how to deal with the wastewater. I have to use the rational method for stormwater. I have attached a document which explains what I need to do overall. I need help on this ASAP as I have to present it Tuesday evening.

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egree 6
- even function
-The function passes through the origin
- has a zero at x=1/2

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egree 6
- even function
- The function passes through the origin
- has a zero at x=1/2 (multiplicity of 2)

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175.hello sir I have a doubt in 3D geometry. day after tomorrow is my math board exam please help. the ...

uestion is how to find equation of a plan passing through A point (1,1,1) and containinig the line r=(-3i+j+5k)+α(3i-j-5k) . Please help me

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176.A quarterback throws a football. The height, h metres, of the ball is given by the equation h = −5t2 ...

t2 + 20t +2 where t is the time in seconds after the ball is thrown.
a) Graph the equation using desmos (if you can take a screen shot of it and include it)
b) Why do we use only positive values of h and t?
c) What is the height of the ball 1 second after it is thrown?
d) What is the maximum height of the ball?
e) How long does it take for the ball to reach the maximum height?
f) For how long is the ball more than 10 m above the ground?

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177.Find the equation of the line perpendicular to the graph of -4x+y=-3 that contains the point (-3,-4)

change?
a) 2+b
b) 2
c) 2m+b
d) 2m

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ation 3x(x-1) = x² + 4

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tion 3x(x-1) = x² +4

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ew graph will be y =?

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182.I was wondering if you could help me step up my chem problems, i'm not sure how to begin ...

estion 1: Draven collected a 1ml sample from a local river. Draven added 99 ml of water to the sample. Draven then took 5 ml of the diluted sample, and determined the 5 ml sample to contained 10 mg of sodium chloride. what is the concentration of sodium chloride in the river?
question 2: how many grams of H2 could be produced when 13 g of H202 decompose?
question 3: how many molecules of carbon dioxide could be produced when 25 ml of a 0.8 M ethanol, c2h60, combusts with 5.18X10^23 molecules of oxygen? the unbalanced equation for the combustion of ethanol is given below:
2ch6O+302-> c02+h20

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183.I honestly have only one question because I can't say it how I want to say it in google. ...

ven homework I'm just curious. So basically, I have this thing where if I click the button (1) time, then i have a 11% chance of getting the reward. I want to know my chances of getting that reward if I click it 10 times. I just want to know the equation to be able to basically add these without it being over 100%, because that isn't possible.

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el of the flow in the coating zone x ∈ [0; L], y ∈ [0; h(x)] a lubrication approximation will be developed. If λ >> 1, and if α is close to, but less than 1 the coating zone appears plane. Use the equation of continuity to show by an order of magnitude estimate that |vy| << |vx|. Then state assumptions on flow and pressure field that reduce the Navier- Stokes equation locally to a form, from which the following approximate expression for the x-velocity in the slot for x ∈ [0; L] can be derived:
Se the attached.

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a in the table on the right.

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186.Must know how to use TI 84 Plus CE calculator and be able to teach that skill without wasting time, ...

or give some complimentary/bonus time while you figure it out, or figure out how to do particular things between sessions instead of during the session
Current topics: understand slope and y-intercept and be able to apply it to equations written using different letters instead of m and b or instead of y and x; parallel, perpendicular line equations; calculate slope/gradient of graphs/sides of shapes/equations; calculate midpoint; calculate distance between two points on a graph; find the equation of a line given a graph or given 2 points; learn the meanings of symbols such as R for real numbers, Z for integers' calculate area of a triangle on a graph
The student is in Kazakhstan and speaks Russian and Kazakh fluently, but is intermediate in English. Please speak with her in English as much as possible, but knowing Russian or Kazakh would be a good bonus that would make you preferable to other tutors all else being about the same, though familiarity with TI calculators or the ability to figure them out is also very important.

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natural numbers such that cot inverse x=cot inverse y=cot inverse z then the number of ordered triples (x,y,z) that satisfy equation is

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188.2. If the mean of the numbers 9, 10, 11, 12, and x is 12, what is the value ...

s of a sports drink contains 130 milligrams of sodium, what is the total number of milligrams of sodium in 20 ounces of the sports drink?
5. If (k, 3) is a point on the line whose equation is 4x + y = -9, what is the value of k?
9. A flagpole casts a shadow 200 feet long. At the same time, a boy standing nearby who is 5 feet tall casts a shadow 20 feet long. Find the number of feet in the height of the flagpole.
22. What is the greatest value of c for which the roots of the equation x^2 + 4x + c = 0 are real?
24. Find the two acute angles in the right triangle whose sides have the given lengths. Express your answers using degree measure rounded to two decimal places.
7, 24 and 25
A._________________ (smaller value)
B._________________ (larger value)

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189. 1. What is the greatest value of c for which the roots of the equation x^2 + 4x + ...

2. Find the two acute angles in the right triangle whose sides have the given lengths. Express your answers using degree measure rounded to two decimal places.
A._______________________ (Smaller Value)
B. _______________________ (Larger Value)
3. A flagpole casts a shadow 200 feet long. At the same time, a boy standing nearby who is 5 feet tall casts a shadow 20 feet long. Find the number of feet in the height of the flagpole.
4. If (k, 3) is a point on the line whose equation is 4x + y = -9, what is the value of k?
5. If 8 ounces of a sports drink contains 130 milligrams of sodium, what is the total number of milligrams of sodium in 20 ounces of the sports drink?
6. If the mean of the numbers 9, 10, 11, 12, and x is 12, what is the value of x?

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tion of variables u(x) = y'(x) to convert the equation into a ﬁrst order ODE for u

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or a circle with its center in the 4th quadrant and tangent to x=7, y =-4, and x=17.

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194. Value: 1 equation image indicator a. (x - 2)2(x - 3)2 b. (x2+ 4)(x2+ 9) c. (x - 2)(x + ...

2)(x - 3)(x + 3)
d. (x2 - 4)(x2+ 9)
Value: 1
The table below shows the cost of purchasing a standard stapler at five office supply stores, A through E. If the median cost of purchasing a standard stapler for these stores was $17.99, which of the following could NOT have been the cost of the stapler for Store A?
staplergraph.jpg
a. $19.95
b. $18.95
c. $16.95
d. $19.25
Value: 1
If equation image indicator then x =
a. 7
b. 1/5
c. 5
d. 1/7
Value: 1
A six−sided die, with sides numbered 1,2, 3,4,5, and 6, is tossed. What is the probability of tossing a number less than three?
a. 1/3
b. 0
c. 1/2
d. 1/4
Value: 1
If 6m + 4 = 8m, then 4m =
a. 6
b. 2
c. 8
d. 4
Value: 1
In the xy-plane, what is the y-intercept of the graph of the equation equation image indicator?
a. 2
b. 4
c. 16
d. There is no y-intercept.
Value: 1
Which of the following equations has both 2 and −4 as solutions?
a. x2 + 6x + 8 = 0
b. x2 - 2x - 8 = 0
c. x2 + 2x - 8 = 0
d. x2 - 2x + 8 = 0
Value: 1
The perimeter of a square is 20 ft. If you increase the length of the square by 2 feet and decrease the width by 1 foot, what is the area, in square feet, of the new figure?
a. 22
b. 28
c. 35
d. 40
Value: 1
(3x-2y4)-3 =
a. equation image indicator
b. equation image indicator
c. equation image indicator
d. equation image indicator
Value: 1
A softball is tossed into the air upward from a first floor balcony. The distance of the ball above the ground at any time is given by the function, distance function.png, where h(t) is the height of the softball above the ground (in feet) and t is the time (in seconds). What was the maximum height, in feet, of the softball above the ground after it was thrown?
a. 28
b. 30
c. 32
d. 34
Value: 1
A group of 100 people, some students and some faculty, attended a museum opening. Each student paid $10 per person for entrance to the museum and each of the faculty paid $25 per person for entrance. If the total paid, for all 100 people, was $1300, how many students attended the museum opening?
a. 20
b. 50
c. 70
d. 80
Value: 1
The ratio of Sam's age to Hank's age is 5 to 3. If the sum of their ages is 24, how old is Hank?
a. 21
b. 15
c. 19
d. 9
Value: 1
In the xy−coordinate plane shown below, point P has coordinates (8, −6). Which of the following is an equation of the line that contains points O and P?
O and P graph.jpg
a. equation image indicator
b. equation image indicator
c. equation image indicator
d. equation image indicator
Value: 1
The variables x and y are inversely proportional, and y = 2 when x = 3. What is the value of y when x = 9?
a. 54
b. 6
c. 2/3
d. 3/2
Value: 1
A farmer has 1235 trees to be planted on a rectangular parcel of land. If there are 24 trees planted in each row and each row must be complete before it is planted, how many trees will be left over after planting?
a. 21
b. 11
c. 0
d. 55

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that models profit earned is D = n(54 – n) – 10n. I need to find the vertex of this equation, and what does the vertex tell me about this situation.. For what x-values is the function increasing? Decreasing? What does this mean in terms of daily profit for Water World? Rewrite the function in vertex form. . Solve the equation 0 = n(54 – n) – 10n for n. Describe your solution method. How are the solutions from part (e) related to the graph of this function? Are the solutions real or complex? How do you know? What do the solutions from part (e) tell you about this situation?

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o possible solutions and what do they mean? Give an example of your own and explain what each answer would look like.

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197.13) Ten people from a local youth group went to Ozark Outdoors Resort to go on a one-day raft trip. ...

The
fees for the trip included a guide's fee as well as charge of $35 per person. The total cost for the
group was $425. a) Write an equation in slope-intercept form to find the total cost C for p people. b) How much would it cost for

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points x=2 and x=3 are perpendicular to each other, find the value of k.
b. Given also that the curve passes through (4,9), find the equation of the curve.

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e equation.
Based on the linear model, predict how long Anika worked on the setup crew on the day the fair arrived at the fairgrounds, Day 0. Approximately how much did her setup time decrease per day?

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201. What is the equation of the line, written in slope-intercept form? Show how you determined the ...

rmined
the equation.
Based on the linear model, predict how long Anika worked on the setup crew on the day the fair arrived at the fairgrounds, Day 0. Approximately how much did her setup time decrease per day?

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ve a clue at how to do it.
1st
Take 2mL of the NaHSO3 solution. Add a drop of dilute HCl solution then add .02M KMnO4 solution one drop at a time, mixing after each drop, up to no more than 5 drops. What changes did you see? Test for SO42- by adding .1MBaCl2 solution one drop at a time, mixing after each drop, up to 6 drops. Write the balanced half-reaction equation for the oxidation of the bisulfite ion, HSO3-.

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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

mathematicsalgebra Physics