A car drives straight down toward the bottom of a valley and up the other side on a road whose bottom has a radius of curvature of $125 \mathrm{~m}$. At the very bottom, the normal force on the driver is twice his weight. At what speed was the car traveling?

Choose the answer that gives the best definition for the underlined word. In "Into Thin Air" the clouds drifting up the valley at first seemed completely $\underline{innocuous}$, but later proved deadly. Innocuous means _____. F. worrisome G. dangerous H. harmless J. wispy

Iron- 56 is one of the most abundant large isotopes in the solar system. However, two beta-plus decays are needed after the alpha ladder in order to create it. Explain why, using what you know about the valley of stability of nuclides.

Fortress Hill Corporation has assembled the following information related to the purchase of a new cable car:

$$\begin{array}{lrr} & \textbf{Peaks Machine} & \textbf{Valley Machine}\\ \\ \text{Increase in revenue} & \$44,200 & \$49,300\\ \text{Increase in annual operating costs:}\\ \text{$\quad$Direct materials} & 12,200 & 12,200\\ \text{$\quad$Direct labor} & 10,200 & 10,600\\ \text{$\quad$Variable overhead} & 24,500 & 26,900\\ \text{$\quad$Fixed overhead (including depreciation)} & 12,400 & 12,400\\ \end{array}$$

Using incremental analysis and only relevant information, compute the difference in favor of the Valley machine.

Due to ocean tides, the depth y in meters of the River Thames in London varies as a sine function of x, the hour of the day. On a certain day that function was

$$y = 3 \sin \left[ \frac { \pi } { 6 } ( x - 4 ) \right] + 8$$

where x = 0, 1, 2, ..., 24 corresponds to 12:00 midnight, 1:00 A.M., 2:00 A.M., 12:00 midnight the next night. What is the maximum depth of the River Thames on that day?

Choose the letter that best answers the question or completes the statement. A composite volcano is most likely to form A above a hot spot. B where an oceanic plate collides with a continental plate. C along the mid-ocean ridge. D along a rift valley.

A 400 lb sphere of volume $4 \pi / 3$ and a 300 lb cylinder of volume $\pi$ are simultaneously released from rest into a river. The drag force exerted by the water on the falling sphere and cylinder is $\lambda V_{s} \text { and } \lambda V_{c},$ respectively, where $V_{s} \text { and } V_{c}$ are the velocities of the sphere and cylinder, and $\lambda$ is a positive constant. Determine which object reaches the bottom of the river first.

The record high temperature in the United States was $134^{\circ}$ Fahrenheit, recorded at Death Valley, California, in $1913$. The record low was $-80^{\circ} \mathrm{F}$, at Prospect Creek, Alaska, in $1971$. How much greater was the highest temperature than the lowest temperature?

A car drives straight down toward the bottom of a valley and up the other side on a road whose bottom has a radius of curvature of $115 \mathrm{~m}$. At the very bottom, the normal force on the driver is twice his weight. At what speed was the car traveling?

Circle the term that best completes sentence. When a river periodically floods and deposits its sediments, a flat area known as a floodplain/shoreline forms over time.

A tunnel under a river is $2.00 \mathrm{~km}$ long.
(b) Explain whether it would be good to make a rule against blowing your car horn when you are in the tunnel.

Circle the phrase or clause used as a modifier in each sentence. Then, draw an arrow from the phrase or clause to the word it modifies.

The river, filled to its banks, flowed swiftly.

The coldest temperature ever recorded on Earth was $-129^{\circ} \mathrm{F}$ in Antarctica. The warmest temperature ever recorded was $134^{\circ} \mathrm{F}$ in Death Valley, California. How many degrees warmer is $134^{\circ} \mathrm{F}$ than $-129^{\circ} \mathrm{F}$?

Multnomah Falls in the Columbia River Gorge has a sheer drop of 543 ft. Using the steady flow energy equation, estimate the water temperature change in °F caused by this drop.