Determine whether the sequence converges or diverges. If it converges, give the limit. 11, 44, 176, 704, … (7 points)

A beam has dimensions of b = 14 in., h = 26 in., and d = 23.5 in. and is reinforced with 4 No. 5 bars. The concrete strength is 3,700 psi, and the yield strength of the reinforcement is 60,000 psi. Determine the strength Mn for this beam.

(04.02 MC)  An individual can win a prize by drawing the highest numbered card out of five cards. After each draw, the card is replaced and the cards are shuffled for another chance. If the prize is not won, the card is again replaced and mixed in with the other cards. If a prize is won, the highest card is replaced and the five cards are shuffled for a new game. If an individual makes seven draws, what is the probability the individual will win a prize exactly two times? (3 points)

 Explain how a catalyst can be involved in a chemical reaction without being    consumed in the process.                

(04.02, 04.03 MC)  It is estimated that 78% of drivers use their turn signal. Part A: What is the probability that exactly 3 drivers use their turn signal if a police officer pulls over five drivers? (5 points) Part B: What is the probability the next driver using their turn signal that the police officer pulls over is the fifth driver? (5 points) (10 points)

A beam has dimensions of b = 14 in., h = 26 in., d’ = 2.5 in., and d = 23.5 in. It is reinforced with 2 No. 5 bars on the compression side and 4 No. 8 bars on the tension side. The concrete strength is 3,400 psi, and the yield strength of the reinforcement is 60,000 psi. For the results given below, determine the strength Mn for this beam.a = 4.09 in. (depth of concrete stress block)Cc = 163.7 kips (compressive force in concrete)Cs = 25.9 kips (compressive force in steel)T = 189.6 kips (tensile force in steel)

A certain species of tree grows an average of 4.2 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 300 centimeters tall. (8 points)

A’s represents the cross sectional area of reinforcement on the tension side of the beam, and AS represents the cross sectional area of reinforcement on the compression side of the beam.

In order to increase the size of your muscles you must increase the number of muscle fibers you have.  

(04.02 MC)  The probability of tails of a weighted coin is 0.8. The number of tails is noted each of the 20 times the coin is tossed. If this procedure is repeated 75 times, what type of distribution is simulated? (3 points)