Find the reciprocal.

$$3 \frac{1}{2}$$

The nurse is reviewing the medication history of a patient who is taking hydroxychloroquine. However, the patient’s chart does not reveal a history of malaria or travel out of the country. The patient is most likely taking this medication for what
a. Plasmodium.
b. thyroid disorders.
c. roundworms.
d. rheumatoid arthritis.

Calculate Many highways have a speed limit of $55 \mathrm{mi} / \mathrm{h}$. (a) Is this speed greater than, less than, or equal to $55 \mathrm{~km} / \mathrm{h}$ ? Explain. (b) Find the speed limit in $\mathrm{km} / \mathrm{h}$ that corresponds to $55 \mathrm{mi} / \mathrm{h}$.

A study conducted in the multicultural Spanish city of Ceuta investigated the relationship between religion and the prevalence of eating disorders. Students aged 12-20 were selected from three public schools. In the study, suppose there were 150 Muslim students and 46 were diagnosed with eating disorders. Of the 200 Christian students, 17% were diagnosed the same way.

Based on your interval, are you convinced that there is a true difference when comparing rates between the religions? Explain.

Many people believe that $\sqrt{x^2}=x$. We will investigate this claim graphically and numerically.

(a) Graph the two functions $x$ and $\sqrt{x^2}$ in the window $-5 \leq x \leq 5,-5 \leq y \leq 5$. Based on what you sec, do you believe that $\sqrt{x^2}=x^2$? What function does the graph of $\sqrt{x^2}$ remind you of?

(b) Complete the table below. Based on this table. do you believe that $\sqrt{x^2}=x^2$ ? What function does the table for $\sqrt{x^2}$ remind you of? Is this the same function you found in part (a)?

(c) Explain how you know that $\sqrt{x^2}$ is the same as the function $|x|$.

(d) Graph the function $\sqrt{x^2}-|x|$ in the window $-5 \leq$ $x \leq 5,-5 \leq y \leq 5$. Explain what you see.

For each of the following pairs of ions, write the symbol for the formula of the compound they will form. (a) $\mathrm{Ca}^{2+}, \mathrm{S}^{2-}$ (b) $\mathrm{NH}_4^{+}, \mathrm{SO}_4^{2-}$ (c) $\mathrm{Al}^{3+}, \mathrm{Br}^{-}$ (d) $\mathrm{Na}^{+}, \mathrm{HPO}_4^{2-}$ (e) $\mathrm{Mg}^{2+}, \mathrm{PO}_4^{3-}$

Calculate.

$$\int_0^{\pi / 2} \int_0^{3 \sin \theta} r^2 d r d \theta$$

Express the sums in sigma notation. The form of your answer will depend on your choice for the starting index. $1+2+3+4+5+6$

Circle the letter of the sentence in which the word in bold-faced type is used incorrectly.

a. In a monopoly, power is held on the basis of majority rule.

b. One student seems to monopolize every class discussion.

c. During the eighteenth century the British held an absolute monopoly on trade with the American colonies.

d. By gaining a monopoly in the steel industry, a few financiers virtually controlled the nation's economy.

Given the following thermochemical equations,

$$\begin{array}{cc} \mathrm{CaO}(s)+\mathrm{Cl}_2(g) \longrightarrow \mathrm{CaOCl}_2(s) & \Delta H^{\circ}=-110.9 \mathrm{~kJ} \\ \mathrm{H}_2 \mathrm{O}(l)+\mathrm{CaOCl}_2(s)+2 \mathrm{NaBr}(s) \longrightarrow & 2 \mathrm{NaCl}(s)+\mathrm{Ca}(\mathrm{OH})_2(s)+\mathrm{Br}_2(l) \\ \Delta H^{\circ}=-60.2 \mathrm{~kJ} \\ \mathrm{Ca}(\mathrm{OH})_2(s) \longrightarrow H^{\circ}=+65.1 \mathrm{~kJ} \end{array}$$

calculate the value of $\Delta H^{\circ}$ (in kilojoules) for the reaction

$$\frac{1}{2} \mathrm{Cl}_2(g)+\mathrm{NaBr}(s) \longrightarrow \mathrm{NaCl}(s)+\frac{1}{2} \mathrm{Br}_2(l)$$

Predict the number of vertices and faces on each closo-borane. a. $\mathrm{B}_{4} \mathrm{H}_{4}^{2-}$ b. $\mathrm{B}_{9} \mathrm{H}_{9}^{2-}$

What impact do agreements such as NAFTA have on the free enterprise system in the United States? What are the pros and cons of US participation in free trade treaties?

Calculate whether or not a precipitate will form in the following mixed solutions:

(a) $100 \mathrm{~mL}$ of $0.010~M\mathrm{~Na}_2 \mathrm{SO}_4$ and $100 \mathrm{~mL}$ of $0.001~M\mathrm{~Pb}\left(\mathrm{NO}_3\right)_2$
(b) $50.0 \mathrm{~mL}$ of $1.0 \times 10^{-4}~M\mathrm{~AgNO}_3$ and $100 . \mathrm{mL}$ of $1.0 \times 10^{-4}~M\mathrm{~NaCl}$
(c) $1.0 \mathrm{~g} \mathrm{~Ca}\left(\mathrm{NO}_3\right)_2$ in $150 \mathrm{~mL} \mathrm{~H}_2 \mathrm{O}$ and $250 \mathrm{~mL}$ of $0.01~M\mathrm{~NaOH}$\

$$K_{\text {sp }} \mathrm{PbSO}_4=1.3 \times 10^{-8}$$

$$K_{\mathrm{sp}} \mathrm{AgCl}=1.7 \times 10^{-10}$$

$$K_{\mathrm{sp}} \mathrm{Ca}(\mathrm{OH})_2=1.3 \times 10^{-6}$$

Find the $x$-coordinate(s) of the point(s) on the graph of the function at which the tangent line has the indicated slope.

$$f(x)=\cot x ; \quad m_{\tan }=-2$$