Ocean waves are partially reflected from the entrance to a harbor, where the depth of the water is suddenly less. What does this tell you about the speed of waves in water of different depths?

Use chips or mental math to add or subtract the following integers. 13+(-8)

How do you use the concept of mean in your procedure to calculate the coordinates of the midpoint of a segment?

In an ocean wave, the molecules of water a. move perpendicularly to the direction of wave travel. b. move parallel to the direction of wave travel. c. move in ellipses. d. don't move at all.

Find the integral.

$$\int \frac{e^{x} d x}{1+e^{x / 2}}$$

Find the values of m for which $2 x^{2}-3 x+m=0$ has: two distinct real roots.

Solve each inequality. -2x<14

Simplify each expression.

$$\frac { 1 } { 4 } ( 10 ) ^ { 2 } ( 15 )$$

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Sketch the following vectors u and v. Then compute $| \mathbf { u } \times \mathbf { v } |$ and show the cross product on your sketch. u=$\langle 3,3,0 \rangle$, v=$\langle 3,3,3 \sqrt { 2 } \rangle$

For the last three years the annual catches of a commercially important fish have been above the maximum sustainable yield. One option is to decrease the fishing effort by decreasing the number of fishers. This, however, would cause unemployment in a region where unemployment is already high. What other options might ensure a lower fishing effort? How could they be done?

A piano tuner listens to a tuning fork vibrating at 440 Hz to tune the string of a piano. He hears beats between the tuning fork and the piano string. Is the string in tune? Explain your answer.

The label on Pete's blue jeans states that, when washed, the Jeans will lose 5% of their color. Choose the letter for the best answer.
Which rule describes the percent of color left in the blue jeans after n washings?

$$\begin{array}{ll}{A} & {a_{n}=100(0.05)^{n}} \\ {B} & {a_{n}=100(0.95)^{n}} \\ {C} & {a_{n}=100(0.95)^{n}} \\ {D} & {a_{n}=100(005)^{n}}\end{array}$$

Analyzing Relationships When you are watching a baseball game, you may hear the crack of the bat a short time after you see the batter hit the ball. Why does this happen? (Hint: Consider the relationship between the speed of sound and the speed of light.)

Conjecture the difference between the graphs of

$$\left\{\begin{array}{l}{x=\cos 2 t} \\ {y=\sin k t}\end{array}\right.$$

, where k is an integer compared to when k is an irrational number. (Hint: Try k=3, $k=\sqrt{3}, k=5, k=\sqrt{5}$ and other values.)