The tone of “Homage to My Hips” by Lucille Clifton can be characterized as confident — and then some. That confidence might be interpreted variously as humorous, rebellious, mocking, sexy, teasing, angry, aggressive, and so forth. Perform the poem in a way that conveys your interpretation of the poem’s tone.

Explain how each of the following rates satisfies the definition of ratio. Give an example of how each is used.

$25$ dollars $3.5$ hours

Write each as an integer. $4 gain _____

A person has a hearing threshold 10 dB above normal at 100 Hz and 50 dB above normal at 4000 Hz. How much more intense must a 100-Hz tone be than a 4000-Hz tone if they are both barely audible to this person?

Find an angle with a positive measure and an angle with a negative measure that is coterminal with the angle.

$$45^{\circ}$$

Solve the inequality. Express the solution using interval notation and graph the solution set on the real number line.

$$x^2 \leq 1$$

A neutral solid metal sphere of radius 0.1 m is at the origin, polarized by a point charge of $6 \times 10^{-8}\ \mathrm{C}$ at location $\langle- 0.3,0,0\rangle\ \mathrm{m} .$ At location $\langle 0,0.07,0\rangle\ \mathrm{m},$ what is the electric field contributed by the polarization charges on the surface of the metal sphere? How do you know?

How did Romans use technology to improve life in the empire?

Find the exact solution, using common logarithms, and a two-decimal-place approximation of each solution, when appropriate.

$$2^{-x}=8$$

Sketch the circle with equation $x^{2}+y^{2}=9$. Check your answer using technology.

Use Newton’s method to find the positive fourth root of 2 by solving the equation $x^{4}-2=0.$ Start with $x_{0}=1$ and find $x_{2}.$

Use integration by parts to find $\int \csc ^{3} x d x$. (Hint: Start with $\int \csc ^{3} x d x=\int \csc x \cdot \csc ^{2} x d x$.)

Solve each problem.

In triangle D E F, m $\angle$ E is three times $m \angle$ D, and m $\angle$ F is $9^{\circ}$ less than m $\angle$ E. What is the measure of each angle?

Answer the question. If six horses start and finish a race, how many different orders of finish are possible?