(01.08 HC) Find the volume of a rectangular prism if the length is 4x, the width is 5x, and the height is x2 + x + 2. Use the formula V = l ⋅ w ⋅ h, where l is length, w is width, and h is height, to find the volume.

(01.07 MC) Multiply (6 − 7i)(3 − 6i).

(02.07 LC) Solve 3×2 + 6x + 15 = 0.

(01.07 MC) Multiply (8 + 3i)(3 + 5i).

Consider the rdt 2.2 sender and receiver below, with FSM transitions labeled in red. Which of the following sequences of transitions could NOT possibly occur as a result of an initial rdt_send() call at the sender (with no messages initially in the channel)? There is only one correct answer. Choose the one you think is correct, and briefly explain why you think it is not possible to occur.    1) S0, R0, S1, R1, S2 S0, R0, S2, S3, R2, S4 S0, R0, S1, R1, S1 S0, R0, S0, R0, S2 2)       Explanation:

(01.08 MC) Barrett works at an ice cream shop. The function f(x) represents the amount of money Barrett earns per gallon of ice cream, where x is the number of gallons of ice cream he makes. The function g(x) represents the number of gallons of ice cream Barrett makes per hour, where x is the number of hours he works. Show all work to find f(g(x)), and explain what f(g(x)) represents. f(x) = 2×2 + 4

(03.01 LC) What is the quotient (6×4 + 15×3 + 10×2 + 10x + 4) ÷ (3×2 + 2)?

(01.08 MC) Multiply (x − 4)(x2 + 5x + 6).

(03.02 LC) Given a polynomial f(x), if (x − 4) is a factor, what else must be true?

(03.03 HC) If x = 3 is a zero of the polynomial function f(x) = 2×3 + x2 − 25x + 12, which of the following is another zero of f(x)?