Simplify. ln 27 - 2 ln 4 + ln 3 + (ln 2)2 - eln 6 + 1/4 ln 81Enter your answer exactly as just .

What will be an ideal response?


(ln 2)2 + ln - 18

Mathematics

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Factor the binomial completely.216p3 + q3

A. (6p + q)(36p2 - 6pq - q2) B. (6p + q)(36p2 + q2) C. (6p + q)(36p2 - 6pq + q2) D. (6p + q)(36p2 + 6pq + q2)

Mathematics

The data in the figure below represents the annual salaries of 120 professional mathematicians. An approximate value for the interquartile range of the salary data is

A. $10,000. B. $28,500. C. $21,500. D. $32,500. E. $70,000.

Mathematics

Graph the function as a solid line or curve and its inverse as a dashed line or curve on the same axes.f(x) = 2x

A.

B.

C.

D.

Mathematics

Write the polynomial in standard form. Then find its degree and leading coefficient.-3x3 - 8x4 + 19x5 + 12

A. 19x5 - 8x4 - 3x3 + 12, degree: 13, leading coefficient: 19 B. -3x3 - 8x4 + 19x5 + 12, degree: 12, leading coefficient: -3 C. -3x3 - 8x4 + 19x5 + 12, degree: 5, leading coefficient: -3 D. 19x5 - 8x4 - 3x3 + 12, degree: 5, leading coefficient: 19

Mathematics