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

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

Write a recursive rule for the sequence.

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

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.

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.

For each equation identify the values of a, b and c. Rewrite each quadratic equation in general form if necessary. a. 2x^2 + 3x - 7 = 0 b. x^2 + 6x = -11 c. -3x^2 - 4x + 12 = 0 d. 18 - 4.9x^2 + 47x = 0 e. -16x^2 + 28x + 10 = 57 f. 5x^2 - 2x = 7 + 4x g. -4 + 5x^2 = 3x h. 2x + 3(4 - 5x^2) = 5x + 1

Simplify each expression.

$$- | - 25 |$$

Use the given conditions to write an equation for each line in point-slope form and slope-intercept form.

$$\text { Slope } = - 2 , \text { passing through } ( 0 , - 3 )$$

Determine whether each statement makes sense or does not make sense, and explain your reasoning. The problem with my car lease is that when it ends, I have to be concerned about selling the car.