Solve the problem.A pendulum swings through an angle of 20° each second. If the pendulum is 25 inches long, how far does its tip move each second? If necessary, round the answer to two decimal places.

A. 8.73 inches
B. 10.02 inches
C. 6.88 inches
D. 11.16 inches


Answer: A

Mathematics

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Express as a single logarithm, and, if possible, simplify. log2 x4 +  log2 x4 -  log2x

A. log2x7
B. log2x9/2
C. log2 x17/6
D.  log2x8

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Illustrate and find the product by the indicated method.Use repeated addition on your calculator to find 6 × 458.

A. 458 × 458 × 458 × 458 × 458 × 458 = 2748 B. 458 + 458 + 458 + 458 + 458 + 458 = 2748

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Use properties of logarithms to write each expression as a sum or difference of logarithms. Assume that variables represent positive real numbers.log6xy2

A. 2log3x - 2log3y B. log6x + 2log6y C. 2log6x - log6y D. log3x + log3y

Mathematics

Find the amount of each payment to be made into a sinking fund so that enough will be present to accumulate the following amount. Payments are made at the end of each period. The interest rate given is per period.$62,000; money earns 4.8% compounded monthly for 1 years

A. $804.74 B. $1279.76 C. $758.49 D. $3531.75

Mathematics