Write the sum using summation notation, assuming the suggested pattern continues. 8 + 27 + 64 + 125 + … + n3 (7 points)

(05.01 MC) Mateo is roasting a chicken. He must make sure the chicken has a minimum internal temperature of 165 degrees so that it is safe to eat. Using a thermometer, he takes the temperature of the chicken in three random places. The minimum temperature in the sample is 172 degrees. Identify the population and the sample. (4 points)

(05.02 MC)  The amount of cream sauce on the fettuccine at Al Fred-O’s follows a Normal distribution, with a mean of 3.78 ounces and a standard deviation of 0.14 ounce. A random sample of 12 plates of fettuccine is selected every day and the sauce is measured. What is the probability that the mean weight will exceed 3.81 ounces? (4 points)

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 10 No. 7 bars at a depth of 16 in. The top row contains 8 No. 7 bars at a depth of 12.5 in. Determine the effective (centroidal) depth, d, of the steel.

The moment-curvature relationship is non-linear up to the cracking point and is referred to as the uncracked-elastic range.

A beam has dimensions of b = 18 in., h = 28 in., and d = 25.5 in. and is reinforced with 4 No. 7 bars. The concrete strength is 8,200 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth to the neutral surface is c = 1.76581 in., determine the strain in the reinforcement.

Which symbol represents the effective width of the compression zone for a flanged section with compression in the flange?

Use mathematical induction to prove the statement is true for all positive integers n. 6 + 12 + 18 + … + 6n = 3n(n + 1) (8 points)  

You will enjoy every bit of summer;

You are considering a beam design that has dimensions of b = 14 in., h = 24 in., and d = 21.5 in. The beam is singly reinforced with all of the reinforcement in a single row. The concrete strength is 6,700 psi, and the yield strength of the reinforcement is 60,000 psi. What cross-sectional area of reinforcement is needed to achieve a strain in the reinforcement of 0.0075?