Describe a real-world relationship between the area of a rectangle and its width, as the width varies and the length stays the same. Sketch a graph to show this relationship.

Determine which of the following is correct regarding the yeast Saccharomyces cerevisiae. a. It reproduces asexually by a process called budding. b. It produces an ascocarp during reproduction. c. It belongs in the group Zygomycota. d. All of the above are correct.

The marketing manager at Levi-Strauss wishes to find a function that relates the demand D for men’s jeans and p, the price of the jeans. The following data were obtained based on a price history of the jeans.

$$\begin{matrix} \text{Price (\$/Pair), $\boldsymbol{p}$} & \text{Demand (Pairs of Jeans}\\ \text{ } & \text{Sold per Day), D}\\ \text{20} & \text{60}\\ \text{22} & \text{57}\\ \text{23} & \text{56}\\ \text{23} & \text{53}\\ \text{27} & \text{52}\\ \text{29} & \text{49}\\ \text{30} & \text{44}\\ \end{matrix}$$

Draw a scatter diagram of the data.

rewrite each angle in radian measure as a multiple of π. (Do not use a calculator.) -60°

Choose the best answer. What is the missing term in the proportion $\frac{18}{114}=\frac{3}{x} ?$ A. x = 19 B. x = 38 C. x = 342 D. x = 684

Prove that the zero transformation $T_0:R^n\to R^n$ equals $T_O$ and hence is linear.

A bus comes to a station once every 10 minutes and waits at the station for 1.5 minutes. Find the probability that the bus will be at the station when you arrive.

Find the intervals of increase and decrease for the given function. $f(x)=3 x^{5}-5 x^{3}$

Solve:

$$\frac { x } { 4 } + 1 = 12$$

A golf ball is hit with an initial velocity of 130 feet per second at an inclination of $45^{\circ}$ to the horizontal. In physics, it is established that the height h of the golf ball is given by the function $h(x)=\frac{-32 x^{2}}{130^{2}}+x$ where x is the horizontal distance that the golf ball has traveled. What is the height after it has traveled 500 feet?

How does expansion of the chest wall expand the lungs during inspiration?

Find the measure (in radians) of a central angle of a sector of area $16 \mathrm{in}^{2}$ in a circle of radius 3.0 in.

Use two truth tables to show that each of the statements are equivalent.

$$[ ( p \wedge q ) \wedge r ] \vee [ p \wedge ( q \wedge \sim r ) ] , p \wedge q$$

What are three sources of water pollution?