Make like units. Then add or subtract. 1. \( \frac{3}{10}+\frac{1}{3}=\frac{3 \times 3}{10 \times 3}+\frac{1 \times 10}{3 \times 10} \)

In Fairbanks, Alaska, the average temperature in January is \( -9.7^{\circ} \mathrm{F} \). The average temperature in July is \( 62.4^{\circ} \mathrm{F} \). On average, how many degrees colder is Fairbanks in January than in July?

Evaluate the following expressions. Your answer must be an angle in radians and in the interval \( \left[-\frac{\pi}{2}, \frac{\pi}{2}\right] \) (a) \( \sin ^{-1}(1)=\square \) (b) \( \sin ^{-1}\left(-\frac{\sqrt{2}}{2}\right)=\square \) (c) \( \sin ^{-1}\left(-\frac{1}{2}\right)=\square \)

Let \( f(x)=\sqrt{x+1} \) and \( g(x)=2 x-5 \). Find \( f \circ g \) and \( g \circ f \). a) \( (f \circ g)(x) \) b) \( (g \circ g)(x)= \) b) \( (x) \) \( (g \circ f)(x)= \)

7. Container \( A \) has 200 Li of water, and is filling at a rate of 6 liters per minute, Container B has 500 L of water, and is draining at 6 liters per minute. How many minutes will it take the two containers to have the same amount of water? Make sure to (1) define your variable, (2) write and solve the equation, and (3) write your answer in a complete sentence.

28. Chelsey put \( \$ 450 \) into an account with a simple interest rate of \( 2.5 \% \). When she withdrew the money she had earned a total of \( \$ 67.50 \) in interest. How long did she leave the money in the account?