Find the GCF, then factor the expression. $6 p ^ { 4 } q + p q r - 3 p r$

Given the following matrix

$$A=\left( \begin{array}{ccc} 1 & 0 & 5i \\ -2i & 2 & 0 \\ 1 & 1+i & 0\end{array}\right) ,$$

find the transpose, the inverse, the complex conjugate, and the transpose conjugate of $A$. Verify that $AA^{-1}=A^{-1}A=$ the unit matrix.

Identify the parts of speech in each sentence below. (Do not identify articles, such as "the" or "a.") The magnificent castle rests atop a mountain.

Which of the following sampling types is not a probability sample? A. stratified B. cluster C. simple random D. convenience

Find $\theta$ if $0 \leqslant \theta \leqslant 2 \pi$ and: $\cos \theta=-1$

The product of four consecutive integers is 7920. Use x to represent the smallest integer. a. Write a polynomial function in standard form to model this situation, where the zeros of the function are the possible values of x. b. Determine the minimum number of real solutions for x, and explain your reasoning.

Solve each equation by the method of your choice. $2 x^{2}-9 x-3=9-9 x$

Find $\theta$ if $0\leqslant \theta \leqslant 2 \pi$ and: $\tan \theta=-\frac{1}{\sqrt{3}}$

Determine the formula for the sum of cubes by dividing $a^{3} + b^{3} \ \text{by} \ (a + b)$

In which A a subset of B? A={1, 3, 7, 9, 11, 13}, B={1, 9, 13}

Write the formation reaction for each of the following substances. (a) $\mathrm{CH_4}(g)$, (b) $\mathrm{C_3H_8}(l)$, (c) $\mathrm{HCl}(g)$, (d) $\mathrm{C_6H_{12}O_6}(s)$, (e) $\mathrm{NaF}(s)$

Find the volume generated when the region between the curves is rotated around the given axis. $y=\sqrt{x} \text { and } y=x^{2}$ rotated around the y -axis

How do teachers affect the socialization of students?

Application Select three sentences from "The Rug Merchant" and rewrite them, using interjections to add emotion.