A beam has dimensions of b = 16 in., h = 30 in., and d = 27.5 in. and is reinforced with 4 No. 6 bars. The concrete strength is 5,800 psi, and the yield strength of the reinforcement is 60,000 psi. Determine the nominal moment capacity, Mn, of the beam.

A satellite is to be put into an elliptical orbit around a moon as shown below. The moon is a sphere with radius of 567 km. Determine an equation for the ellipse if the distance of the satellite from the surface of the moon varies from 900 km to 169 km. (5 points)

Use partial fractions to find .  

(04.06 LC)  The weight of laboratory grasshoppers follows a Normal distribution, with a mean of 90 grams and a standard deviation of 2 grams. What percentage of the grasshoppers weigh between 86 grams and 94 grams? (4 points)

(06.03 MC)  Marcus wants to determine how age and weight are related to exercise preference in his town. He selects a simple random sample of 75 overweight individuals from the 25- to 35-year age group and records their age, weight, and exercise preference (sports, Pilates/yoga, dancing, none). He also selects an independent simple random sample of 50 normal-weight individuals from the 40- to 50-year age group and records the same information. Which is the most important observation about Marcus’s plan? (3 points)

Find the limit of the function by using direct substitution. (6 points)  

Most Progressives were ____________________ class.

Briefly explain the relationship between drugs and crime. Be sure to touch on whether this relationship is causal.

Most state court systems include small claims courts for the resolution of minor disputes in small claims courts

(04.02 MC)  A coin is weighted so that the probability of tails is 0.58. The coin is tossed 25 times, and the number of times tails is shown is recorded. This procedure is repeated 150 times with the number of times tails is shown noted each time. What kind of distribution is simulated? (4 points)