Use the intersection-of-graphs method to approximate each solution to the nearest hundredth.

$$9(-0.84 x+\sqrt{17})=\sqrt{6} x-4$$

You are given the equation(s) used to solve a problem. For each of these, you are to a. Write a realistic problem for which this is the correct equation(s). b. Finish the solution of the problem, including a pictorial representation.

$$\begin{array}{l} (0.10 \mathrm{kg}+0.20 \mathrm{kg}) v_{\mathrm{lx}}=(0.10 \mathrm{kg})(3.0 \mathrm{m} / \mathrm{s}) \\ \frac{1}{2}(0.30 \mathrm{kg})(0 \mathrm{m} / \mathrm{s})^{2}+\frac{1}{2}(3.0 \mathrm{N} / \mathrm{m})\left(\Delta x_{2}\right)^{2} \\ \quad=\frac{1}{2}(0.30 \mathrm{kg})\left(v_{\mathrm{Lx}}\right)^{2}+\frac{1}{2}(3.0 \mathrm{N} / \mathrm{m})(0 \mathrm{m})^{2}\end{array}$$

Determine the intersection of the plane 3x-4y-5z = 0 with $\vec{r}=(3,1,1)+t(2,-1,2), t \in \mathbf{R}$.

In the following problem, compare the given pair of graphs and find any points of intersection.

$y=\frac{1}{x}$ and $y=\left|\frac{1}{x}\right|$

Insert commas where they belong in the following sentences.

Example 1. Please bring your rulers, calculators, and workbooks.

4. She gave a concert at noon signed autographs at three and visited the museum at nine.

Air enters a small duct having a cross section of an equilateral triangle, $3.0 \mathrm{~mm}$ on a side. The entering temperature is $27^{\circ} \mathrm{C}$ and the exit temperature is $77^{\circ} \mathrm{C}$. If the flow rate is $5 \times 10^{-5} \mathrm{~kg} / \mathrm{s}$ and the tube length is $30 \mathrm{~cm}$, determine the tube wall temperature necessary to effect the heat transfer. Also find the pressure drop. The pressure is $1 \mathrm{~atm}$.

What does the following function do?

void mystery(queueType<int>& q)
{
    stackType<int> s;
    while (!q.isEmptyQueue())
    {
        s.push(q.front());
        q.deleteQueue();
    }
    while (!s.isEmptyStack())
    {
        q.addQueue(2 * s.top());
        s.pop();
    }
}

Consider the following function prototype:

void funcDefaultParam(int num, char ch = '*', double y = 2.5, string z = "*");

Is the given function calls correct? funcDefaultParam(10);

Write an equation for the line that contains the given pair of points.

$$(-6,1) \quad(2,3)$$

Write each logarithmic equation in its equivalent exponential form.

$$\log 1=0$$

Find the slope of the line that passes through the given pair of points.

$$(-2,0),(0,4),$$

You are driving to the grocery store at $20 \mathrm{~m} / \mathrm{s}$. You are $110 \mathrm{~m}$ from an intersection when the traffic light turns red. Assume that your reaction time is $0.50 \mathrm{~s}$ and that your car brakes with constant acceleration. What magnitude braking acceleration will bring you to a stop exactly at the intersection?

Insert commas where they belong in the following sentences.

Example 1. Please bring your rulers, calculators, and workbooks.

7. Have you noticed that Tom deans the house cooks the meals and washes the dishes?

a. Let $X \sim N(0,1) \text { and } E \sim N(0,1)$ be independent, and let $Y=X+\beta E$. Show that $r_{x y}=\frac{1}{\sqrt{\beta^{2}+1}}$ b. Use the results of part (a) to generate bivariate samples $\left(x_{i}, y_{i}\right)$ of size 20 with population correlation coefficients −.9, −.5, 0, .5, and .9, and compute the sample correlation coefficients. c. Have a partner generate scatterplots as in part (b) and then guess the correlation coefficients.