Express as a single logarithm and, if possible, simplify.
logax + 4 loga y - 2 loga x
A. loga x2 y4
B. loga 
y4
C. loga x4 y4
D. loga
Answer: D
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Use the known graph of y = ln x to graph the equation.y = 
A. 
B. 
C. 
D. 
Solve the problem.The differential equation for a falling body near the earth's surface with air resistance proportional to the velocity v is dv/dt = -g - av, where g = 32 feet per second per second is the acceleration due to gravity and a > 0 is the drag coefficient. This equation can be solved to obtain v(t) = (v0 - v?)e-at + v?, where v0 = v(0) and v? = -g/a = 
v(t), the terminal velocity.This equation, in turn, can be solved to obtain y(t) = y0 + tv? + (1/a)(v0 - v?)(1 - e-at) where y(t) denotes the altitude at time t. Suppose that a ball is thrown straight up from ground level with an initial velocity v0 and drag coefficient a. Write an equation in
terms of v0, g, and a for T, the time when the ball hits the ground.
A. -gT + 
ln 
= 0
B. -gT + 
(1 - e-aT) = 0
C. -aT + 
(1 - e-aT) = 0
D. -gT + 
(1 - e-aT) = 0
Solve the problem.A ball is thrown vertically upward from the top of a building 144 feet tall with an initial velocity of 128 feet per second. The distance, s (in feet), of the ball from the ground after t seconds is 
After how many seconds does the ball strike the ground?
A. 8 B. 9 C. 145 D. 11
Fill in the blank with one of the words or phrases listed below.
= 
.
A. Percent of decrease
B. 
C. Percent of increase
D. Compound interest