Assume that .
?
Use these values and the properties of logarithms to find the value .
?
Do not use a calculator.  Please give the answer to four decimal places.

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

1.5563

Mathematics

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Factor the polynomial completely.t3 + 512

A. (t + 8)(t2 + 64) B. (t - 512)(t2 - 1) C. (t - 8)(t2 + 8t + 64) D. (t + 8)(t2 - 8t + 64)

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Find all solutions to the equation. Express each result in radians.cos 2x = 

A. ? =  + 2n?,  + 2n?
B.  + n?
C.  + n?,  + n?
D. ? =  + n?,  + n?

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Solve the problem.A boat can go 44 mph in still water. It takes as long to go 300 miles upstream as it does to go downstream 360 miles. How fast is the current?

A. 1 mph B. 6 mph C. 4 mph D. 3 mph

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Solve.A rectangular board is 16 ft by 20 ft. How far from the center of the board should the foci be located in order to cut the largest elliptical tabletop from the board?

A. 4.0 ft B. 6.0 ft C. 8.0 ft D. 2.0 ft

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Mathematics