(a) For $^{18} O_{2}, \Delta \overline{G}$ values for the transitions $v=1 \leftarrow 0, 2 \leftarrow 0,$ and $3 \leftarrow 0$ are, respectively, 1556.22, 3088.28, and $4596.21\ \mathrm{cm}^{-1}.$ Calculate $\overline{v}$ and $x_{e}.$ Assume $y_{e}$ to be zero. (b) For $^{14} N_{2}, \Delta \overline{G}$ values for the transitions $v=1 \leftarrow 0, 2 \leftarrow 0,$ and $3 \leftarrow 0$ are, respectively, 2345.15, 4661.40, and $6983.73\ \mathrm{cm}^{-1}.$ Calculate $\overline{v}$ and $x_{e}.$ Assume $y_{e}$ to be zero.

Which of the following statements are equivalent? Which ones are correctly indented?

(a)

if i > 0:
    x = 0
    y = 1
else:
    y = 0
    z = 0

(b)

if i > 0:
    x = 0
  y = 1
else:
    y = 0
    z = 0

(c)

if i > 0:
  x = 0
  y = 1
else:
    y = 0
    z = 0

(d)

if i > 0:
  x = 0
  y = 1
else:
    y = 0
  z = 0

Why are detergents better than soaps for laundering?

Graph each function. Based on the graph, state the domain and the range and find any intercepts.

$$f(x)=\left\{\begin{array}{ll}{\ln x} & {\text { if } 0<x<1} \\ {-\ln x} & {\text { if } x \geq 1}\end{array}\right.$$

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 matrices $A, B$, and $C$, multiply, if possible.

$$A=\left[\begin{array}{ll} 1 & 1 \\ 2 & 3 \end{array}\right] \quad B=\left[\begin{array}{rr} 3 & 2 \\ -1 & 1 \end{array}\right] \quad C=\left[\begin{array}{lll} 0 & 2 & 0 \\ 3 & 1 & 4 \end{array}\right]$$

CA

According to the Christian Science Monitor, 80 percent of egg cartons are imprinted with the logo "Animal Care Certified.."27 This designation means that the United Egg Producers, the egg industry's trade group, has certified egg producers according to internal guidelines.

What do you think the typical consumer interprets "Animal Care Certified" to mean?

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

Graph the set of all real numbers less than or equal to 2 .

(a) For ${ }^{16} \mathrm{O}_2, \Delta G$ values for the transitions $v=1 \leftarrow 0,2 \leftarrow 0$, and $3 \leftarrow 0$ are, respectively, 1556.22, 3088.28, and $4596.21 \mathrm{~cm}^{-1}$. Calculate $\tilde{v}$ and $x_{e^*}$. Assume $y_e$ to be zero.

(b) For ${ }^{14} \mathrm{~N}_2, \Delta G$ values for the transitions $v=1 \leftarrow 0,2 \leftarrow 0$, and $3 \leftarrow 0$ are, respectively, 2345.15, 4661.40, and $6983.73 \mathrm{~cm}^{-1}$. Calculate $\tilde{v}$ and $x_{e^*}$. Assume $y_e$ to be zero.

What is the rationale for using drugs such as B2 agonists, acetylcholine antagonists, leukotriene inhibitors, corticosteroids, and mast cell stabilizers to manage obstructive pulmonary disorders?

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) $\mathrm{Mg}^{2+}, \mathrm{PO}_4^{3-}$

A sample of air with a mole ratio of $\mathrm{N}_2$ to $\mathrm{O}_2$ of $79: 21$ is heated to $2500 \mathrm{~K}$. When equilibrium is established in a closed container with air initially at $1.00 \mathrm{~atm}$, the mole percent of $\mathrm{NO}$ is found to be $1.8 \%$. Calculate $K_p$ for the reaction below, assuming pressures are expressed in atmospheres.

$$\mathrm{N}_2(\mathrm{~g})+\mathrm{O}_2(\mathrm{~g}) \rightleftharpoons 2 \mathrm{NO}(\mathrm{g})$$

Sketch the graph of the reciprocal $1 / f$.

$$f(x)=x-3$$