Find the indicated term of the sequence.The twenty-fourth term of the arithmetic sequence 0, 12, 24, ...
A. 300
B. 288
C. 253
D. 276
Answer: D
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Solve the problem.The differential equation for a falling body near the earth's surface with air resistance proportional to the velocity v is 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. Find an expression in terms of v0, g, and a for the time at which the ball reaches its maximum height.
A. t = ln
B. t = ln
C. t = ln
D. t = ln
Solve the problem.A lumber yard has fixed costs of $5388.00 per day and variable costs of $0.54 per board-foot produced. Lumber sells for $2.54 per board-foot. How many board-feet must be produced and sold daily to break even?
A. 1749 board-feet B. 9977 board-feet C. 1796 board-feet D. 2694 board-feet
Divide. Express your answer in simplest form. ÷
A.
B.
C.
D.
Find f.