Find the perimeter of each rectangle with the given base and height. 3.5 cm, 7 cm

Suppose you have an outdoor pool measuring 25 ft by 10 ft. You want to add a cement walkway around the pool. If the walkway will be 1 ft thick and you have 304 ft$^3$ of cement, how wide should the walkway be?

Find the derivative of f(x)=sin^3[cos(sqrt(x^3+2x))]

Convert each decimal number to a binary number. 92

Consider the following polar equations of conics. Determine the eccentricity and identify the conic. $r = \frac { 5 } { - 1 + 2 \sin \theta }$

A bat strikes a 0.145-kg baseball. Just before impact, the ball is traveling horizontally to the right at 50.0 m/s and it leaves the bat traveling to the left at an angle $30^{\circ}$ of above horizontal with a speed of 65.0 m/s. If the ball and bat are in contact for 1.75 ms, find the horizontal and vertical components of the average force on the ball.

Cancer From $1975$ to $2007$, the age-adjusted incidence rate of invasive lung and bronchial cancer among women can be closely approximated by $f(t)=-0.040194 t^{2}+2.1493 t+23.921$, where $t$ is the number of years since $1975$. Source: National Cancer Institute. Based on this model, in what year did the incidence rate reach a maximum? On what years was the rate increasing? Decreasing?

Solve the equation. Check your solution. 20. n + 3/4 = 1/4

Find two different values that complete each expression so that the trinomial can be factored into the product of two binomials. Factor your trinomials. 5w² - _w - 24

The U.S. Department of Housing and Urban Development provides data that show the fair market monthly rent for metropolitan areas. The following data show the fair market monthly rent ($) in 2005 for 1-bedroom, 2-bedroom, and 3-bedroom apartments for five metropolitan areas (The New York Times Almanac, 2006).$

$$\begin{matrix} \text{ } & \text{Boston} & \text{Miami} & \text{San Diego} & \text{San Jose} & \text{Washington}\\ \hline \text{1 Bedroom} & \text{1077} & \text{775} & \text{975} & \text{1107} & \text{1045}\\ \text{2 Bedrooms} & \text{1266} & \text{929} & \text{1183} & \text{1313} & \text{1187}\\ \text{3 Bedrooms} & \text{1513} & \text{1204} & \text{1725} & \text{1889} & \text{1537}\\ \end{matrix}$$

$

At the .05 level of significance, test whether the mean fair market monthly rent is the same for each metropolitan area.

If $\angle A = 14 ^ { \circ } ,$ find $\sin A , \cos A ,$ and $\tan A$ to the nearest ten-thousandth.

Mrs. Cho drives 45 miles in 1 hours. If her speed stays constant, how many hours will it take for her to drive 405 miles?

A MOSFET is to operate at $I_{D}=0.1 \mathrm{mA}$ and is to have $g_{m}=1 \mathrm{mA} / \mathrm{V} .$ If $k_{n}^{\prime}=50 \mu \mathrm{A} / \mathrm{V}^{2},$ find the required W/L ratio and the overdrive voltage.

Graph each hyperbola. Give the location of the foci and the equations of the asymptotes.

$$\frac { y ^ { 2 } } { 9 } - x ^ { 2 } = 1$$