Use logarithms to solve the equation for t. Round your answer to four decimal places.



t = __________

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


6.2123

Mathematics

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Factor out the negative of the greatest common factor.-54m9 + 6m7 - 42m5

A. -m5(-54m4 + 6m2 + 42) B. -6m5(9m4 - m2 + 7) C. -6(9m9 - m7 + 7m5) D. -m5(54m4 - 6m2 + 42)

Mathematics

Solve the problem.The amount of water used to take a shower is directly proportional to the amount of time that the shower is in use. A shower lasting 16 minutes requires 11.2 gallons of water. Find the amount of water used in a shower lasting 4 minutes.

A. 64 gal B. 2.1 gal C. 2.8 gal D. 3.5 gal

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For the given functions f and g, find the requested composite function.f(x) = 4x2 + 6x + 3, g(x) = 6x - 7;Find (g ? f)(x).

A. 24x2 + 36x + 25 B. 4x2 + 36x + 11 C. 4x2 + 6x - 4 D. 24x2 + 36x + 11

Mathematics

Solve the problem.In order to make a profit an automobile dealer must sell at least 50 vehicles a month. The dealer plans to sell x units of one model and y units of another model. This situation can be modeled by the inequality  Graph this inequality in Quadrant I.

A.

B.

C.

D.

Mathematics