To move 3.0 C of charge from one electrode to the other, a 12-V battery must do how much work: (a) 12 V, (b) 12 J, (c) 3.0 J, (d) 36 W, or (e) 36 J?

Find the period of the function. Then graph the function over atleast one period.

$$y=-\frac{5}{2}+\cos \left[3\left(x-\frac{\pi}{6}\right)\right]$$

Under the allowance method, why do we make an entry to record bad debt expense in the period of sale rather than in the period in which an account is determined to be uncollectible?

The motor in a refrigerator has a power of 200 W. If the freezing compartment is at 260 K and the outside air is at 300 K, and assuming the efficiency of a Carnot refrigerator, what is the maximum amount of energy that can be extracted as heat from the freezing compartment in 15.0 min?

A gas consisting of only carbon and hydrogen has an empirical formula of $\mathrm{CH}_2$. The gas has a density of $1.65 \mathrm{~g} / \mathrm{L}$ at $27^{\circ} \mathrm{C}$ and 734 torr. Determine the molar mass and molecular formula of the gas.

Convert the percent notation in the sentence to decimal notation.

Among American workers, $5 \%$ rely on public transportation for their commute.

The electric potential a distance $r$ from a point charge $q$ is $2.70 \times 10^4 \mathrm{~V}$. One meter farther away from the charge the potential is $6140 \mathrm{~V}$. Find the charge $q$ and the initial distance $r$.

When two point charges are a distance $R$ apart, their potential energy is $-2.0 \mathrm{~J}$. How far (in terms of $R$ ) should they be from each other so that their potential energy is $-6.0 \mathrm{~J}$?

The neuron (nerve cell) has a long extension called an axon. Molecules made in the cell’s main body must travel a long distance to reach the end of the axon. The axon is lined with microtubules. Explain how motor proteins, vesicles, and microtubules move these molecules along the axon.

How long is the recovery period after an angiogram?

An outboard motor for a boat is cooled by lake water at $15.0^{\circ} \mathrm{C}$ and has a compression ratio of $10.0$. Assume that the air is a diatomic gas. a) Calculate the efficiency of the engine's Otto cycle. b) Using your answer to part (a) and the fact that the efficiency of the Carnot cycle is greater than that of the Otto cycle, estimate the maximum temperature of the engine.

The number of reported crimes in a city was about 22,700 in a recent year. Due to the creation of a neighborhood crime program, the city hopes the number of crimes decreases each year by 8%. Let $x_n$ denote the number of crimes in the city n years after the neighborhood crime program began. Find a formula for $x_n$ in terms of n. Determine the number of crimes in the city at the end of five years.

(Counting the Letters of the Alphabet in a String) Write a program based on the program of earlier example that inputs several lines of text and uses function strchr to determine the total occurrences of each letter of the alphabet in the lines of text. Uppercase and lowercase letters should be counted together. Store the totals for each letter in an array and print the values in tabular format after the totals have been determined.

For this exercise, you will find the function's amplitude, period, and phase shift, and graph one complete period.

$y=5 \cos \left(3 x-\frac{\pi}{4}\right)$