Factor the sum or difference of two cubes completely.125p3 + 1

A. (5p + 1)(25p2 + 5p + 1)
B. (5p + 1)(25p2 - 5p - 1)
C. (5p + 1)(25p2 - 5p + 1)
D. (5p + 1)(25p2 + 1)


Answer: C

Mathematics

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Find the Taylor polynomial of order 3 generated by f at a.f(x) = ln(x + 1), a = 4

A. ln 3 -  +  - 
B. ln 5 -  + 
C. ln 5 +  -  + 
D. ln +  +  + 

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Solve the problem.The population of a particular country was 22 million in 1985; in 2000, it was 31 million. The exponential growth function  describes the population of this country t years after 1985. Use the fact that 15 years after 1985 the population increased by 9 million to find k to three decimal places.

A. 0.146 B. 0.435 C. 0.023 D. 0.033

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Solve using the multiplication principle.-2 = a

A. 6 B. -1 C. -18 D. 7

Mathematics