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 $0.01~M\mathrm{~NaOH}$\

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

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

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

(a) Find the domain of each function. (b) Locate any intercepts. (c) Graph each function. (d) Based on the graph, find the range. (e) Is f continuous on its domain?

$$f(x)=\left\{\begin{array}{ll}{x^{2}} & {\text { if }-2 \leq x \leq 2} \\ {2 x-1} & {\text { if } x>2}\end{array}\right.$$

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

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

The resident population of Georgia (in thousands) was 9810 in 2011 and 9992 in 2013. Use the Midpoint Formula to estimate the population in 2012.

Find the reciprocal.

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

Charlie and Aisha built a small rocket and launched it from their backyard. The rocket fell to the ground 10 s after it launched. The height h, in feet of the rocket relative to the ground at time t seconds can be modeled by the function shown.

$$h(t)=at^2+bt+c$$

Construct Arguments Charlie believes that the function

$$h(t) = -16t^2 + 160t$$

models the height of the rocket with respect to time. Do you agree? Explain your reasoning and indicate the domain of function.

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

Consider the following data:

$$\begin{array}{llr} \hline \text { Variable selling and administrative costs per unit } & \$ 7.00 \\ \text { Total fixed selling and administrative costs } & \$ 810,000 \\ \text { Total fixed manufacturing costs } & \$ 500,000 \\ \text { Variable manufacturing costs per unit } & \$ 12.00 \\ \text { Units produced and sold } & 100,000 \\ \hline \end{array}$$

Compute the following per unit of product: (b) full manufacturing cost

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

The chemical factors that determine traits are called

a. chromosomes.

b. genes.

c. traits.

d. characters.

Calculate.

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

(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.

In contrast, a merchandiser's cost of goods sold is based on its __________.

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