The equilibrium constant $K_P$ for the reaction

$$2 \mathrm{SO}_3(g) \rightleftharpoons 2 \mathrm{SO}_2(g)+\mathrm{O}_2(g)$$

is $5.0 \times 10^{-4}$ at $302^{\circ} \mathrm{C}$. What is $K_{\mathrm{c}}$ for this reaction?

How much does a Highland pony weigh in pounds (lbs), if its average in kilograms is $550$ kg?

Use the box on page $404$ and the behavior of rational and exponential functions as $x \rightarrow \infty$ to predict whether the integrals converge or diverge.

$$\displaystyle \int_{1}^{\infty} \frac{x^{2}-6x+1}{x^{2}+4}\ dx$$

Where can highlands climates be found?

Write each of the following expressions using sigma notation. a. $\frac{1}{3}+\frac{1}{3.5}+\frac{1}{4}+\frac{1}{4.5}+\ldots+\frac{1}{9.5}$ b. $\sqrt{5}+\sqrt{8}+\sqrt{11}+\sqrt{14}+\ldots+\sqrt{302}$ c. $\cos (2)+2 \cos (4)+3 \cos (6)+\ldots+15 \cos (30)$

Write each product or sum as a fraction in simplest form.

a. 3/4 $\cdot$ 2/3 $\cdot$ 1/2

b. 130/405 $\cdot$ 129/404

c. 3/5 + 1/8

d. -3/4 + 3/8 + 1/2

$$\begin{array}{|c|c|} \hline \text{IN ($x$)} & \text{OUT ($y$)}\\ \hline {} & 23\\ \hline 2 & 8\\ \hline -2 & -4 \\ \hline 8 & 26 \\ \hline 0 & {} \\ \hline {} & 302 \\ \hline 1.5 & {} \\ \hline \end{array}$$

Evaluate the following integrals.

$$\int_{-3}^{3}\left(511 x^{17}+302 x^{13}+117 x^{9}+303 x^{3}+x^{2}\right) d x$$

How might this explain their different climates?

$267^{\circ}\mathrm{F}$ is equivalent to

(a) $404\mathrm{~K}$
(b) $116^{\circ}\mathrm{C}$
(c) $540\mathrm{~K}$
(d) $389\mathrm{~K}$

For each given angle, find a coterminal angle with a measure of theta such that $0^{\circ} \leq \theta<360^{\circ}$:

a. $505^{\circ}$

b. $-302^{\circ}$

If you declare an integer array as follows, what is the value of num[2]?

int[] num = {101, 202, 303, 404, 505, 606};

a. 101
b. 202
c. 303
d. impossible to tell

Which of the following numbers are divisible by:

a) 2 ?

b) 3?

c) 5?

d) 10?

$625$ $302$ $9172$ $3132$ $62,120$

Choose the best answer. Simplify. $5 \cdot ( 3 + 1 ) ^ { 2 } + 6 - 2$ F. 44 G. 84 H. 260 J. 404