Use any problem-solving strategy to solve this problem. The length of Fun Center's go-kart track is 843 feet. If Nadia circled the track 9 times, how many feet did she travel?

A rectangular field is 70 feet long and 30 feet wide. If fencing costs $8 per yard, how much will it cost to enclose the field?

Solve for y: 8y - 7x + 9y = 112x

Sketch a figure that has rotational symmetry. Describe the angle of rotation.

Two point charges are placed on the x-axis as follows: Charge $q _ { 1 } = + 4.00 n C$ is located at x = 0.200 m, and charge $q _ { 2 } = + 5.00 n C$ is at x = -0.300m. What are the magnitude and direction of the total force exerted by these two charges on a negative point charge $\mathrm { q } _ { 3 } = 6.00 nC$ that is placed at the origin?

Jason has a piece of wire that is 62.4 inches long. He cuts the wire into 3 equal pieces. Estimate the length of 1 piece of wire.

Solve each equation, Write a justification for each step. $- \frac { x } { 3 } = 2$

Convert from degrees to radians: (a)

$$1 ^ { \circ }$$

(b)

$$30 ^ { \circ }$$

(c)

$$25 ^ { \circ }$$

(d)

$$120 ^ { \circ }$$

Use each of the three terms below in a sentence that illustrates the meaning of the term. a. state bank b. national bank c. gold standard

In what month do people take the least number of daily vitamins?

Let

$$f(x) = x^2 + 2x + 1$$

and

$$g(x) = x - 4.$$

Identify the rule for

$$\frac { f } { g }$$

and state the domain.

Consider a lamina occupying the region R and having the density function $\rho$ given in the first two groups of Exercises. a. Find the moments of inertia $I_x, I_y$, and $I_0$ about the x-axis, y-axis, and origin, respectively. b. Find the radii of gyration with respect to the x-axis, y-axis, and origin, respectively. R is the rectangular region with vertices (0, 0), (0, 3), (6, 3), and (6, 0); $\rho(x, y)=\sqrt{x y}$.

Estimate. Then find the product. Estimate: _____

$$\begin{array} { r } { 28 } \\ { \times 22 } \\ \hline \end{array}$$

The initial rate of a reaction doubles as the concentration of one of the reactants is quadrupled. What is the order of this reactant? If a reactant has a -1 order, what happens to the initial rate when the concentration of that reactant increases by a factor of two?