Factor the polynomial completely. If the polynomial cannot be factored, write "prime."4x3 - 108
A. 4(x - 3)(x2 + 3x + 9)
B. 4(x - 3)(x2 - 3x + 9)
C. 4(x + 3)(x2 - 3x + 9)
D. 4(x - 12)(x2 + 12x + 36)
Answer: A
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Provide an appropriate response.If a body of mass m falling from rest under the action of gravity encounters an air resistance proportional to four times the square root of velocity, then the body's velocity t seconds into the fall satisfies the equation: m
= mg - 4kv2where k is a constant that depends on the body's aerodynamic properties and the density of the air.Determine the equilibrium, velocity curve, and the terminal velocity for a 170 lb skydiver (mg = 170) with k = 0.005.
A. Equilibrium: v = 
vterminal = 92.20 ft/sec
B. Equilibrium: v = 
vterminal = 92.20 ft/sec
C. Equilibrium: v = 
vterminal = 92.20 ft/sec
D. Equilibrium: v = 
vterminal = 92.20 ft/sec
Solve the problem.A 37-foot ladder is leaning against the side of a building. If the ladder makes an angle of 
with the side of the building, how far up from the ground does the ladder make contact with the building? Round your answer to the hundredths place when necessary.
A. 34.93 ft B. 31.16 ft C. 36.89 ft D. 33.73 ft
Solve the equation.m(5m - 24) = -16
A. 
B. 
C. 
D. 
Complete.75 mcg = 
mg
A. 0.75 B. 75,000 C. 0.075 D. 7500