Integrate the expression.

$$\int x \sin ^{-1} x d x$$

Sam has a theory about the average rate of change. Sam I can quickly estimate the average rate of change for interval that are above and below the $x-$axis because they add to zero for example at year 1. the profit is aboat $\$300,000$ and at year 2.25 the profit is about $-\$300,000$. Therefore. the average rate of change for the time interval $(1, 2.25)$ is approximately $\$0$

Describe the error in Sam's reasoning.

Compare. Use >, <, or = to complete each statement. |-2|+4?6

What is the main idea of this passage? A People should worry less about risks. B People often misjudge the level of a given risk. C Car travel is more risky than air travel. D Your level of control affects how you view a risk.

View at least two cycles of the graphs of the given functions on a calculator. $y=-2 \cot \left(2 x+\frac{\pi}{6}\right)$

a. What effect will adding 10 to every value in a data set have on the standard deviation? b. What will the effect be if you multiply each value by 10?

Use properties of exponents to simplify each expression. Express answers in exponential form with positive exponents only. Assume that any variables in denominators are not equal to zero. $\frac{4 x^{7} \cdot 5 x}{10 x^{8}}$

Confirm that the following integers are absolute pseudoprimes: (a) $1105=5 \cdot 13 \cdot 17 .$ (b) $2821=7 \cdot 13 \cdot 31$ (c) $2465=5 \cdot 17 \cdot 29$

Mars has a mass of $6.42 \times 10^{23} \mathrm{kg}$ and a raduis of $3.40 \times 10^{6} \mathrm{m}$. Assume a person is standing on a bathroom scale on the surface of Mars. Over what time interval would Mars have to complete one rotation on its axis to make the bathroom scale have a zero reading?

Complete the tables.

$$\begin{matrix} \text{Figure} & \text{Number of Sides} & \text{Number of Angles }\\ \text{\_\_\_\_\_} & \text{7} & \text{\_\_\_\_\_}\\ \end{matrix}$$

Convert each base ten numeral to a numeral in the given base. 108 to base four

Choose the word or phrase that best answers the question. Which is not a characteristic of all living things? A. growth, B. homeostasis, C. response, D. breathing.

Write a recursive rule for the sequence.

$$21,14,7,0 , - 7 , \dots$$

A stable assignment is called optimal for suitors if no stable assignment exists in which a suitor is paired with a suitee whom this suitor prefers to the person to whom this suitor is paired in this stable assignment. Use strong induction to show that the deferred acceptance algorithm produces a stable assignment that is optimal for suitors.