Personal consumption expenditures (in billions of dollars) for several types of recreation from 2012 through 2017 are shown in the table, where $x$ is the expenditures on amusement parks and campgrounds, $y$ is the expenditures on live entertainment (excluding sports), and $z$ is the expenditures on spectator sports.

Year	2012	2013	2014	2015	2016	2017
x	44.3	46.8	49.8	54.2	57.9	61.9
y	24.9	24.8	26.5	28.9	30.7	32.6
z	20.9	22.1	23.2	23.1	24.2	26.1

A model for the data is given by

z = 0.54x - 0.6y + 11.98

Find $\frac{\partial z}{\partial x}$ and $\frac{\partial z}{\partial y}$.

The equation for the reaction of iron and oxygen gas to form rust $\left(\mathrm{Fe}_2 \mathrm{O}_3\right)$ is written as

$$4 \mathrm{Fe}(s)+3 \mathrm{O}_2(g) \longrightarrow 2 \mathrm{Fe}_2 \mathrm{O}_3(s) \quad \Delta H=-1.7 \times 10^3 \mathrm{~kJ}$$

How many grams of rust form when 150 kJ are released?

Turpentine at $77^{\circ} \mathrm{F}$ is flowing from $\mathrm{A}$ to $\mathrm{B}$ in a $3$ -in coated ductile iron pipe. Point $\mathrm{B}$ is $20\ \mathrm{ft}$ higher than point $\mathrm{A}$ and the total length of the pipe is $60\ \mathrm{ft}$. Two $90^{\circ}$ long-radius clbows are installed between $\mathrm{A}$ and $\mathrm{B}$. Determine the volume flow rate of turpentine if the pressure at $\mathrm{A}$ is $120$ psig and the pressure at $B$ is $105$ psig.

Calculate the amount concentration of the cations in the following solutions:

(a) $0.5 \mathrm{~mol} / \mathrm{L}$ sodium carbonate, $\mathrm{Na}_2 \mathrm{CO}_3$

(b) $0.2 \mathrm{~mol} / \mathrm{L}$ ammonium sulfite, $\left(\mathrm{NH}_4\right)_2 \mathrm{SO}_3$

(c) $1.5 \mathrm{molL}$ iron(III) sulfate, $\mathrm{Fe}_2\left(\mathrm{SO}_4\right)_3$

How many neutrons are in an atom with each set of atomic numbers and mass numbers?

a. List and briefly describe three major parts of the lithosphere.
b. Which layer serves as the main storehouse of chemical resources used in manufacturing consumer products ?

In a right triangle, the measure of one acute angle is twice the sum of the measure of the other acute angle and 30. Find the measure of each acute angle in the right triangle.

Humid air at $75 \mathrm{~psia}$ and $500^{\circ} \mathrm{F}$ and a humidity ratio of $0.018 \mathrm{~lbm} \mathrm{H}_{2} \mathrm{O} / \mathrm{lbm}$ dry air is expanded to $15 \mathrm{~psia}$ in an isentropic nozzle. How much of the initial water vapor has been converted to liquid water at the nozzle outlet?

Two strips, one of iron and one of zinc, are riveted together side by side to form a straight bar that curves when heated. Why is the iron on the inside of the curve?

The italicized portion of each sentence below contains some flaw. Select the answer that best corrects the flaw.

Our boss called a meeting in relation to the sales project.

A. a meeting about

B. a discussion session in relation to

C. to tell us to meet to talk about

D. a meeting, which was on the topic of

State the first term of each product. a. $(2 x+1)(3 x+4)$ b. $\left(x^{4}+x^{2}\right)\left(3 x^{8}+x^{11}\right)$ c. $x(x+9)$ d. $\left(x^{2}+9\right)(3 x+4)(2 x+6)$ e. $\left(x^{3}+4\right)\left(x^{2}+6\right)(x+5)$

Above the relative pronoun in the sentence, write S if it refers to a singular antecedent or P if it refers to a plural antecedent. Then, on the line provided, write a pronoun that agrees with the relative pronoun.

Example. Saint Bernards are dogs $\overset{\textit{\color{#c34632}{P}}}{{\text{that}}}$ are valued for $\underline{\color{#c34632}\text{their}}$ pleasant nature.

The envelopes that have stamps on _________ are ready to mail.

Two cars are headed south on the highway at different speeds. Starting when the faster car pulls alongside the slower car, one of the cars accelerates northward for 5.0 s and the other accelerates southward for 5.0 s. At the end of that 5.0-s interval, the two cars have the same speed. Which car is now ahead?

Suppose that a linear transformation T satisfies

$$T\left(\mathbf{u}_{1}\right)=\left[\begin{array}{l} 2 \\ 1 \end{array}\right], \ T\left(\mathbf{u}_{2}\right)=\left[\begin{array}{r} -3 \\ 2 \end{array}\right]$$

Find $T\left(-2 \mathbf{u}_{1}+3 \mathbf{u}_{2}\right)$