Express as a single logarithm and, if possible, simplify. log(t3 + 125) - log(t + 5)

A. log(t2 + 5t + 25)
B.
C. log(t3 - t + 125)
D. log(t2 - 5t + 25)


Answer: D

Mathematics

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Evaluate the line integral along the curve C.ds , C is the path from (1, 1, 0) to (e4, e4, 1) given by:C1: r(t) = e4ti + e4tj,  0 ? t ? 1C2: r(t) = e4i + e4j + 10tk,  0 ? t ? 1

A. (e12 - 1) + e8 + e4
B. (e12 - 1) + 10e8 + 50e4
C. (e12 - 1) + 10e8 + 100e4
D. (e12 - 1)

Mathematics

Multiply.(5 + 6)2

A. 239 + 60
B. 311 - 60
C. 281 + 60
D. 311 + 60

Mathematics

Provide an appropriate response.Solve the inequality: 3(x + 11) < 8x + 3

A. x > -6 B. x > 6 C. x < -6 D. x < 6

Mathematics

Use the table to solve the problem.For a function f we have the following numerical representation.Evaluate f for x = 2.

A. -0.17 B. -0.33 C. 0.33 D. 2

Mathematics