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

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.

On August 10, 1936, a temperature of $120^{\circ} \mathrm{F}$ was recorded in Ponds, Arkansas. On February 13, 1905, Ozark, Arkansas, recorded a temperature of $-29^{\circ} \mathrm{F}$. What is the difference between these two temperatures?

Certain antibiotics kill only Gram positive bacteria. Why is this information important to consider when treating a patient who has a bacterial infection of unknown cause?

Evaluate each expression for x=2, y=3, and z=10. 5(y+z)