A billiard ball, labeled X, moving horizontally, strikes another billiard ball, labeled Y, at rest. Before impact, ball X was moving at a speed of 3.1 m/s, and after impact it is moving at 0.50 m/s at 50.° from the original direction. If the two balls have equal masses of 0.274 kg, what is the velocity of the ball Y after the impact?  Give your answer in meters/second only; ignore direction.

Include null and alternate hypothesis, a p-value, and a conclusion PRIVATE about the null hypothesis

Nine students took the SAT. After taking it, they then took a test preparation course and retook the SAT. Can you conclude that the course changes performance on the SAT? (use α = .1)

A machine was purchased for CAD 200,000, and can be sold for CAD 20,000 after 10 years of service life. The machine will generate an annual revenue of CAD 80,000 and an annual operating cost of CAD 20,000. The company pays taxes at a rate of 20% and the before-tax MARR is 10%. Given a 30% CCA rate for the machine, what is the after-tax present worth of this machine over the 10-year service period? (assume books-open case).

10. A titration is performed by adding 0.13 M KOH to 60 mL of 0.363 M HNO₃.

a) Calculate the pH before addition of any KOH.

b) Calculate the pH after the addition of 33.51, 83.77 and 166.54 mL of the base.(Show your work in detail for one of the volumes.)

c) Calculate the volume of base needed to reach the equivalence point.

d) Calculate the pH after adding 5.00 mL of KOH past the equivalence point.

Pre-Lab Questions:

1. What color will endospore negative bacteria be after endospore staining? What color will mycobacteria bacteria after mycolic acid staining? (see the endospore and acid fast tables)

2. What species of bacteria are we going to use to look at endospores and what species will we use for mycolic acid staining?

3. Why do we briefly heat our bacteria on the slide before staining?

Acid-fast endospore staining

Determine the pH during the titration of 31.7 mL of 0.371 M ethylamine (C2H5NH2, Kb = 4.3×10-4) by 0.371 M HI at the following points. (Assume the titration is done at 25 °C.) Note that state symbols are not shown for species in this problem.

(a) Before the addition of any HI

(b) After the addition of 12.0 mL of HI

(c) At the titration midpoint

(d) At the equivalence point

(e) After adding 49.5 mL of HI

Determine the pH during the titration of 36.3 mL of 0.281 M trimethylamine ((CH3)3N, Kb = 6.3×10-5) by 0.281 M HBr at the following points. (Assume the titration is done at 25 °C.) Note that state symbols are not shown for species in this problem.

(a) Before the addition of any HBr ?

(b) After the addition of 15.7 mL of HBr ?

(c) At the titration midpoint ?

(d) At the equivalence point ?

(e) After adding 57.7 mL of HBr ?

We talked in class about how some textbooks tell us that the way to conduct a cost benefit analysisassociated with a policy is to look atthe costs and benefits beforea policy was put in place and compare them to the cost and benefits after the policy is in place. Is this correct? If so, explain why. If not, explain why not. NOTE: I realize that you should say "with" or "without" the policy, NOT "before" and "after" but I don't know why. Please explain.

Suppose that the government places a tax on heating oil in order to conserve oil. However, for poor families, the government rebates enough income to ensure that poor consumers are able to achieve the same level of utility after the rebate that they had before the tax was imposed. That is, the poor are no worse off after the tax and rebate than they were to begin with. Will the tax and rebate policy completely eliminate the conservation of oil by the poor? Illustrate and explain using an indifference curve diagram

Causes of the Great Depression After reading Chapter 7 and Special Topic 6, write a 2-page paper answering the following question: Contrary to a popular view, the Great Depression was not caused by the 1929 stock market crash. We have had similar reductions in stock prices to those in 1929 before and after the Great Depression. What historical events took place that directly led to the prolonged depressed conditions like those of the 1930s?