The equation of a helix is x sin t y cos t z t a find the arc length s

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

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?

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.

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

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

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

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!

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

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

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

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?

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

? IO3− + I3− → I2

has a negative fraction

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).

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.

a in the form y = (x – h)2 + k.

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

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

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?

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.

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.

ircle. Be sure to show and explain all work.

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?

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.

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.

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

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.

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.

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.

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

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

nd passes through the point (3,6).

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]

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?

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

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

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?

d doesnt deserve a job thank you

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

le of values, specifically problem two on the attached file

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”.

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.

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

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 + �

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.

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.

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

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.

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)

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.

o not use spaces. View More

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