The brakes of a certain automobile produce a constant deceleration of $k \ \mathrm{ft} / \mathrm{s}^{2}$. The car is traveling at 60 mi/h (88 ft/s) when the driver is forced to hit the brakes, and it comes to rest at a point 121 ft from the point where the brakes were applied. What is k?

Explain how you solve each problem. Show all your work. Erin owns 48 movies on DVD. Three eighths of the movies are comedies, $\frac { 1 } { 3 }$ are dramas, $\frac { 1 } { 4 }$ are action adventure, and the rest are science fiction. What part of her movie collection is science fiction?

Tell whether the statement is true or false. If the statement is false, correct it to make it true.

A hyperbola is the set of all points in a plane such that the absolute value of the sum of the distances from any point on the hyperbola to two given points is constant.

You are riding your bicycle, which has tires with a 30 -inch diameter, at a steady 15 miles per hour. Find the angular velocity of a point on the outside of the tire in radians per second.

Let $X \sim \operatorname{Geom}(p).$ Let $s \geq 0$ be an integer. a. Show that $P(X>s)=(1-p)^{s}.$ b. Let $t \geq 0$ be an integer. Show that $P(X> s+t | X>s)=P(X>t).$ This is called the lack of memory property. c. A penny and a nickel are both fair coins. The penny is tossed three times and comes up tails each time. Now both coins will be tossed twice each, so that the penny will be tossed a total of five times and the nickel will be tossed twice. Use the lack of memory property to compute the conditional probability that all five tosses of the penny will be tails, given that the first three tosses were tails. Then compute the probability that both tosses of the nickel will be tails. Are both probabilities the same?

Two small objects, each with charge $+5.0 \times 10^{-9} \mathrm{C}$, are separated by a distance of 50 cm. What is the magnitude and the direction of the electric force that they exert on an identical third object that is 50 cm from each of them? (a) $1.6 \times 10^{-6} \mathrm{N}$,perpendicular to the line connecting the charges (b) $1.6 \times 10^{-6} \mathrm{N}$, parallel to the line connecting the charges (c) $1.8 \times 10^{-6} \mathrm{N}$,perpendicular to the line connecting the charges (d) $1.8 \times 10^{-6} \mathrm{N}$,parallel to the line connecting the charges

Visit the official website for Microsoft Excel, products.office.com/excel or Minitab (www.minitab.com) or JMP (www.jmp.com). Review the features of the program you chose and then state the ways the program could be useful in statistical analysis.

How do the two novelists (Lewis and Yezierska) differ from the sociologists (the Lynds) in the issues they emphasize, and in their tone and point of view? What features of small-town life does each emphasize?

Lalana organized a charity walk. In the first year, the walk generated $3000. She hopes to increase this amount by$900 each year for the next several years. If her goal is met, in how many years will the walk have generated a total of at least $65,000?

Mr. Sanderson marks his class on a normal curve. Those with z-scores with $$ z \geq 1.80 $$ will receive an A, those with $$ 1.10 \leqz<1.80 $$ will receive a B, those with $$ -1.20\leqz<1.10 $$ will receive a C, those with $$ -1.90\leqz<-1.20 $$ will receive a D, those with z<-1.90 will receive an F. Determine the percent of grades that will be an A, B, C, D, and F.

A 5-mm-diameter copper heater rod is submerged in water at 1 atm. The temperature excess is $11^{\circ} \mathrm{C}$. Find the heat loss per unit length of the rod.

Use the information in the table to answer each question.

Interval	Value of $f(x)$
$(-\infin, -2)$	Negative
$(-2,0)$	Positive
$(0,2)$	Positive
$(2,\infin)$	Positive

(f) Sketch a graph of the equation you wrote in part (e).

The pressure of the atmosphere at sea level is 15.191 pounds per square inch (psi). It decreases continuously at a rate of 0.004% as altitude increases by x feet. If a certain rescue helicopter can fly only in atmospheric pressures greater than 5.5 pounds per square inch, how high can it fly up Mount Everest?

Use a calculator to solve the equation. Unless indicated otherwise, round all answers to the nearest ten-thousandth.

Atmospheric pressure $P$ in pounds per square inch is represented by the formula $P=14.7 e^{-0.21 x}$, where $x$ is the number of miles above sea level. To the nearest foot, how high is the peak of a mountain with an atmospheric pressure of $8.369$ pounds per square inch? (Hint: there are $5280$ feet in a mile)