Solve the problem.For approximately what values of x can sin x be replaced by  with an error of magnitude no greater than ?

A. |x| < 0.54146
B. |x| < 0.40357
C. |x| < 0.45942
D. |x| < 0.59106


Answer: D

Mathematics

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Provide an appropriate response.Suppose that you can invest $5000 in a business that guarantees you the following cash flows: $3000 at the end of 2 years, $2000 at the end of 4 years, and $2000 at the end of 6 years. Assuming an interest rate of 6% compounded monthly, find the present value of the cash flows. Is the investment profitable?

Fill in the blank(s) with the appropriate word(s).

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Complete the given table and then graph.y = -3x + 5

A.

B.

C.

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Find the median. If necessary, round to one decimal place.During an experiment, the following lengths (in centimeters) were recorded: 8, 5, 27, 20, 25, 41, 35, 32.

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