A beam has dimensions of b = 18 in., h = 12 in., and d = 9.5 in. and is reinforced with 5 No. 8 bars. The concrete strength is 3,500 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 5.207 in., does the reinforcement yield?

Find the derivative of f(x) = 7x + 9 at x = 6. (6 points)

(05.04 MC)  A researcher has conducted a survey using a simple random sample of 500 golf club members to create a confidence interval to estimate the proportion of golf club members favoring a 1% annual increase in dues to remodel the clubhouse. Assume that the sample proportion does not change. The researcher now decides to survey a random sample of 125 people instead of 500 golf club members. Which of the following statements best describes how the confidence interval is affected by this change? (3 points)

Let u = , v = . Find u – v. (5 points)

Find the derivative of f(x) = -4×2 + 11x at x = 10. (6 points)

Find a ⋅ b. a = 6i – 6j, b = 4i + 2j (5 points)

Briefly reflect on the process you have followed to write your rough draft. Where are you in the process? What is left to do? What is your plan for completing the draft and/or revising it in the coming weeks? Try to capture your thoughts and what you have learned over the past few weeks about constructing a large research project.

List the 5 health components of physical fitness.  Of those which two are YOU most in need of training?  Explain WHY?  

(06.06 LC)  A scientist is interested in the relationship between the number of eggs hatched per day for frogs (y) and temperature. Based on the collected data, the least-squares regression line is ŷ = 15.66 + 3.58x, where x is the number of degrees by which temperature exceeds 60 degrees Fahrenheit. Which of the following statements best describes the meaning of the slope of the least-squares regression line? (3 points)

The symbol Mu represents the _______.