Simplify. Assume that variables represent positive real numbers.

A. -8x5 y6
B. not a real number
C. -2x12 y6
D. -2x5 y3


Answer: D

Mathematics

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Evaluate.P(11, 3)

A. 39,916,800 B. 165 C. 1331 D. 990

Mathematics

Consider the differential equation. A detailed direction field is not needed. Find the solutions that are constant, for all  (the equilibrium solutions). In what regions are solutions increasing? Decreasing?y'(t) = (y - 7)(7 + y)

A. y = 7; increasing for  > 7; decreasing for  < 7
B. y = -7; increasing for  < 7; decreasing for  > 7
C. y = 7, y = -7; increasing for  > 7; decreasing for  < 7
D. y = 7, y = -7; increasing for  < 7; decreasing for  > 7

Mathematics

Solve the problem.A plumber charges a fixed rate plus an hourly rate to do house calls. The ordered pair (2, 65) indicates total charges of $65 for a job taking  and the ordered pair  indicates total charges of $170 for a job taking 9 hours.a) Write a linear equation giving the total charges, y, in terms of the number of hours x.b) Use the equation found in part a to find how much it costs for 4 hours.c) How many hours would result in a total charge of $125?

A. y = 15x + 35; $95; 6 hours B. y = 15x; $60; 6 hours C. y = 15x + 35; $95; 8 hours D. y = 15x + 35; $60; 6 hours

Mathematics

Divide. Write the answer in lowest terms and as a whole or mixed number where possible. 

A. 5
B. 1
C.
D.

Mathematics