Solve the problem.The position (in centimeters) of an object oscillating up and down at the end of a spring is given by  at time t (in seconds). The value of A is the amplitude of the motion, k is a measure of the stiffness of the spring, and m is the mass of the object. How fast is the object accelerating when it is accelerating the fastest?

A. A2 cm/sec2
B. A cm/sec2
C. A cm/sec2
D.  cm/sec2


Answer: D

Mathematics

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Use Method II to simplify the complex rational expression.

A.
B.
C.
D.

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Factor completely.ab4 - 16a3b2

A. a(b2 + 4ab)(b2 - 4ab) B. ab4 - 16a3b2 C. ab2(b - 4a)2 D. ab2(b + 4a)(b - 4a)

Mathematics

Graph the function. Describe its position relative to the graph of the indicated basic function.f(x) = ln(x + 5); relative to f(x) = ln x

A. Moved right 5 units

B. Moved right 5 units

C. Moved left 5 units

D. Moved left 5 units

Mathematics

The table shows, for some particular year, a listing of several income levels and, for each level, the proportion of the population in the level and the probability that a person in that level bought a new car during the year. Given that one of the people who bought a new car during that year is randomly selected, find the probability that that person was in the indicated income category. Round your answer to the nearest hundredth. $10,000 - $14,999

A. .06 B. .05 C. .03 D. .02

Mathematics