Perform the indicated operation.(m - 5)(7m2 + m + 8)

A. 7m3 - 34m2 + 13m - 40
B. 7m3 + 34m2 + 3m - 40
C. 7m3 - 36m2 + 3m - 40
D. 7m3 - 34m2 + 3m - 40


Answer: D

Mathematics

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Find the general solution of the differential equation. Use C, C1, C2, . . . to denote arbitrary constants. If used, do not simplify hyperbolic functions.y''(t) = 15e3t + sin 3t

A. y =  -  + C1t
B. y =  +  + C1t + C2
C. y =  -  + C1t + C2
D. y =  +  + C1t + C2

Mathematics

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.8 ln x -  ln y

A. ln x8
B. ln 
C. ln x8y3
D. ln 

Mathematics

The number of students studying algebra at State College is 585. The Department Chair expects enrollment to increase 9% each year. How many professors will be needed in 4 years to teach algebra if one professor can handle 55 students? ? Please enter your answer as a number without the units.

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

Mathematics

Solve the problem.The cost for labor associated with fixing a washing machine is computed as follows: There is a fixed charge of $25 for the repairman to come to the house, to which a charge of $20 per hour is added. Find an equation that can be used to determine the labor cost, C, of a repair that takes x hours. Write the final answer in the form C = mx + b.

A. C = -20x + 25 B. C = 45x C. C = 25x + 20 D. C = 20x + 25

Mathematics