Use scientific notation to perform the following operations. Leave your answer in scientific notation.(5 × 10-5) ÷ (10 × 10-3)

A. 5.0 × 107 
B. 2.0 × 10-2 
C. 5.0 × 10-3 
D. 2.0 × 108 


Answer: C

Mathematics

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Determine whether the given function is one-to-one. If it is one-to-one, find a formula for the inverse.f(x) = 

A. f-1(x) = x3 + 4
B. Not one-to-one
C. f-1(x) = 
D. f-1(x) = x3 - 4

Mathematics

The figure shows the graph of a function. At the given value of x, does the function appear to be differentiable, continuous but not differentiable, or neither continuous nor differentiable?x = 1

A. Differentiable B. Continuous but not differentiable C. Neither continuous nor differentiable

Mathematics

Solve the problem.A college loan of $25,000 is made at 4% interest, compounded annually. After t years, the amount due, A, is given by the function A(t) = 25,000(1.04)t .After what amount of time will the amount reach $37,000? Round your answer to the nearest tenth.

A. 0.4 yr B. 10.0 yr C. 0.1 yr D. 68.7 yr

Mathematics

Solve the problem.The time T in seconds required for a pendulum of length L feet to move from one side to the other and back is given by  Assume that the pendulum of a particular grandfather clock is  long. How long, to the nearest hundredth of a second, does it take to swing from one side to the other?

A. 5.00 sec B. 1.59 sec C. 0.80 sec D. 2.50 sec

Mathematics