Determine if the series converges or diverges. If the series converges, find its sum.

A. converges;  + 
B. converges;  + 
C. converges;  + 
D. diverges


Answer: C

Mathematics

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Factor. Assume that variables in exponents represent natural numbers.512x3a - 125y3b

A. (8xa + 5yb)(64x2a - 40xayb + 25t2b) B. (8xa - 5yb)(64x2a + 40xayb + 25t2b) C. (8x - 5y)(64x2a + 40xayb + 25t2b) D. (8xa - 5yb)(64xa + 40xayb + 25tb)

Mathematics

Solve the problem.Find the sum of eight dollars and seventy-five cents and fourteen dollars and sixty cents.

A. $23.10 B. $22.85 C. $103.00 D. $23.35

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Evaluate.75

A. 16,807 B. 35 C. 117,649 D. 78,125

Mathematics

Provide an appropriate response.Use the simplex method to solve the following problem: United Blimpo Co. produces two types of exercise devices ,regular and heavy-duty, each of which requires in its manufacture the use of two machines, A and B. A regular model requires the use of machine A for 2 hours and machine B for 3 hours. A heavy-duty model requires the use of machine A for 3 hours and machine B for 3 hours. Machine A can be used at most 18 hours a day and machine B can be used at most 21 hours a day. If the profits on the regular and heavy-duty models are $20 and $15, respectively, and United Blimpo Co. can sell all it produces, how many of each model should be produced per day in order to realize maximum profit? What is the maximum profit per day?

What will be an ideal response?

Mathematics