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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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2.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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3. 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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a in the form y = (x – h)2 + k.

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

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9.4. 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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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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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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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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16.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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18.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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19.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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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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21.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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22.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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23.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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or a circle with its center in the 4th quadrant and tangent to x=7, y =-4, and x=17.

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

mathematicsalgebra Physics