Find each limit algebraically. $\lim _{x \rightarrow-1}\left(8 x^{5}-7 x^{3}+8 x^{2}+x-4\right)$

Suppose

$$\Delta A B C \sim \Delta T U V.$$

Determine whether each pair of measures is equal. the ratios of the sides

$$\frac { B C } { U V } \text { and } \frac { A C } { T V }$$

Evaluate the given iterated integral. $\int_{0}^{4} \int_{0}^{1 / 2} \int_{0}^{x^{2}} \frac{1}{\sqrt{x^{2}-y^{2}}} d y d x d z$

Use a graphing utility to graph the function. What do you observe about its asymptotes? $g(x)=\frac{3 x^{4}-5 x+3}{x^{4}+1}$

Describe the sampling distribution of $\hat{p}$. Assume that the size of the population is 25,000 for each problem. n=300, p=0.7

Given that x is a hypergeometric random variable with

$$N = 10 , n = 5 , \text { and } r = 7$$

Display the probability distribution for x in tabular form.

Rewrite each prime factorization using exponential form. Then find the product. 5 • 2 • 5 • 3

Simplify the expression. Tell which properties of exponents you used.

$$3c^3d/9cd^{-1}$$

Graph each function. State key features of the graph. $f(x)=-2 \sqrt[3]{x-4}-2$

Find

$$a_1$$

for each geometric series described.

$$S _ { n } = - 2912 , r = 3 , n = 6$$

Suppose the equation ax+by=c, where a, b, and c are real numbers, describes a direct variation. What do you know about the value of c?

Identify A and B, isomers of molecular formula

$$\mathrm { C } _ { 3 } \mathrm { H } _ { 4 } \mathrm { Cl } _ { 2 },$$

from the given

$$^1\text {H NMR }$$

data: Compound A exhibits signals at 1.75 (doublet, 3 H, J = 6.9 Hz) and 5.89 (quartet, 1 H, J = 6.9 Hz) ppm. Compound B exhibits signals at 4.16 (singlet, 2 H), 5.42 (doublet, 1 H, J = 1.9 Hz), and 5.59 (doublet, 1 H, J = 1.9 Hz) ppm.

The profit Samantha 's company makes is given by the expression 0.1(1000 + 300m) where m is total number of sales. Rewrite this expression using the Distributive property. What is the profit if her company sells 50 pieces of merchandise? Use mental math.

A person who moved to a new state and took two months to find a new job experienced which type of unemployment? A. frictional B. structural C. cyclical D. natural E. none of the above