Find an equation for the nth term of the sequence. -1, -4, -16, -64, … (7 points)  

Is the function  even, odd, or neither?

The position of an object at time t is given by s(t) = 6 – 14t. Find the instantaneous velocity at t = 6 by finding the derivative. (5 points)

A beam has dimensions of b = 16 in., h = 22 in., and d = 19.5 in. and is reinforced with 4 No. 7 bars. The concrete strength is 9,100 psi, and the yield strength of the reinforcement is 60,000 psi. Determine the nominal moment capacity, Mn, of the beam.

Which of the following exercises would typically be performed predominantly using the anaerobic system for energy? 

One of the four primary reasons for using compression reinforcement in beams is reduced sustained-load deflections.

(05.01 MC)  Suppose we select a simple random sample of size n = 250 from a large population with a proportion p of successes. Let p̂ be the proportion of successes in the sample. For which value of p is it appropriate to use the Normal approximation for the sampling distribution of p̂? (4 points)

(05.01 MC) Mateo is baking a ham. He must make sure the ham has a minimum internal temperature of 145 degrees so that it is safe to eat. Using a thermometer, he takes the temperature of the ham in four random places. The minimum temperature in the sample is 150 degrees. Identify the population and the sample. (4 points)

(05.02 MC)  A nail fabrication machine makes nails with a target length of μ = 2.35 inches. The machine has some variability, so the standard deviation of the length is σ = 0.2 inch. The machine operator inspects a random sample of 10 nails each hour for quality control purposes and records the sample mean diameter, x̄. Assuming the process is working properly, what are the mean and standard deviation of the sampling distribution of x̄? (4 points)

Write the sum using summation notation, assuming the suggested pattern continues. 4 – 12 + 36 – 108 + … (5 points)