Express as a single logarithm and, if possible, simplify. log (y2 - 3y + 2) - log (y2 - 1)
A. log
B. log(-3y + 3)
C.
D. log
Answer: D
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Solve.The number of centimeters, d, that a spring is compressed from its natural, uncompressed position is given by the formula where W is the number of joules of work done to move the spring and k is the spring constant. Solve this equation for W. Use the result to determine the work needed to move a spring 8 centimeters if it has a spring constant of 0.6.
A. W = 2d2k
B. W =
C. W =
D. W =
Evaluate the terms of the sum using the given information.x1 = -3, x2 = 3, x3 = -2, and x4 = -4
A. -14 - 14 - 9 - 21 B. -14 - 4 - 9 + 11 C. 4 + 4 + 9 + 21 D. -4 + 14 - 9 + 21
Solve the problem.A rock falls from a tower that is 78.4 m high. As it is falling, its height is given by the formula with t in seconds. How many seconds will it take for the rock to hit the ground (h = 0)?
A. 1254.4 sec B. 4 sec C. 8.6 sec D. 8.9 sec
Solve the problem.If a rocket is propelled upward from ground level, its height in meters after t seconds is given by During what interval of time will the rocket be higher than 411.6 m?
A. 6 < t < 7 B. 7 < t < 12 C. 0 < t < 6 D. 12 < t < 13