Determine each estimate without using a calculator. Then use a calculator to perform the computation necessary to obtain an exact answer. How reasonable is your estimate when compared to the actual answer? If a person who works 40 hours per week earns $61,500 per year, estimate that person's hourly wage.

Two rocks collide with each other in outer space, far from all other objects. Rock 1 with mass 5 kg has velocity $\langle 30,45,-20\rangle\ \mathrm{m} / \mathrm{s}$ before the collision and $\langle- 10,50,-5\rangle\ \mathrm{m} / \mathrm{s}$ after the collision. Rock 2 with mass 8 kg has velocity $\langle- 9,5,4\rangle\ \mathrm{m} / \mathrm{s}$ before the collision. Calculate the final velocity of rock 2.

Apply Scientific Reasoning: If the satellite had less mass, but the force of the collision was the same, then the collision would have

A. caused the satellite to accelerate more quickly.

B. caused the satellite to accelerate more slowly.

C. caused the satellite to accelerate at the same rate.

D. had no effect on the satellite's original motion.

True or False. Sensory neurons are sometimes called afferent nerves.

Is calcium carbonate a compound or mixture?

Write the ratio as a fraction in simplest form. 15. 16 dogs to 12 cats

Assume the element of figure to be in the $y z$-plane with unit depth in the $x$-direction. Find a result similar to that of Eq. Assume gravity to be in the $z$-direction.

Find the linearization L(x) of ƒ(x) at x = a. ƒ(x) = cos ̄ ¹ x, a = 0

Identify the parent function from the function rule. Describe the transformation of the parent function that given function represents. Use your graphing calculator to check your answers.

g(x)=3 x

A mountain bike tire has a diameter of 26 inches. To the nearest foot, how far does the tire travel when it makes 32 revolutions?

Graph the function by creating a table of function values and plotting points. Give the domain and range of the function.

$$f ( x ) = x ^ { 2 } - 4$$

Perform the calculation as indicated and round the result to three significant digits.

$$\sqrt{4.63 \times 10^{18}}$$

Which of the following choices, A or B, results in more money? A: To receive $1000 on day 1,$999 on day 2, $998 on day 3, with the process to end after 1000 days. B: To receive$1 on day 1, $2 on day 2,$4 on day 3, for 19 days

¿Cómo será tu vida en diez años? Conversa con un(a) compañero(a).

modelo:

saber pilotear un avión

Tú: En diez años, yo no sabré pilotear un avión.

Compañero(a): Tampoco sabré pilotear un avión en diez años pero Marcos sabrá pilotearlo.

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