Punctuate the following group of words as single sentence. Add commas and semicolons. Do not add words or periods to create new sentence.

Example: Come in to see our new branch office$\underline{,}$ meet our friendly tellers and manager.

In the morning I am free at 10 a.m. in the afternoon I have already scheduled an appointment.

Use your knowledge and try to identify why the following item is a blooper. Consult your textbook, dictionary, or reference manual as needed.

Announcement on the website of a family-owned pie shop on Cape Cod: "We do not except orders through e-mail as we are to busy at times to check mail." [Did you spot two errors?]

Insert comma, semicolon, and colon to punctuate the following sentence correctly.

Linkedln got a head start in the professional networking world however new sites such as LetsLunch, Jobcase, and Shapr are working hard to catch up in this competitive market.

Punctuate the following group of words as single sentence. Add commas and semicolons. Do not add words or periods to create new sentence.

Example: Come in to see our new branch office$\underline{,}$ meet our friendly tellers and manager.

Our principal function is to help management make profits however we can offer advice on staffing problems as well.

Insert commas, semicolons, and colons to punctuate the following sentence correctly. Write C if the sentence is correct.

Oil prices have dropped considerably therefore consumers are enjoying lower gas prices and higher disposable income.

Punctuate the following group of words as single sentence. Add commas and semicolons. Do not add words or periods to create new sentence.

Example: Come in to see our new branch office$\underline{,}$ meet our friendly tellers and manager.

Our principal function is to help management make profits however we can offer advice on staffing problems as well.

State which metric unit you would probably use to measure the item given below.

mass of a book

If $0 \leq \theta<2 \pi$, determine the values of $\theta$ in radians that make each statement true.

$$\sin \theta=-\frac{\sqrt{2}}{2}$$

Solve the given equation for x if $0 \leq x<2 \pi$. Give your answers in radians using exact values only.

$$\sin x-\cos x=\sqrt{2}$$

The rectangular tank shown here, with its top at ground level, is used to catch runoff water. Assume that the water weighs $62.4 \mathrm{lb} / \mathrm{ft}^3$. a. How much work does it take to empty the tank by pumping the water back to ground level once the tank is full? b. If the water is pumped to ground level with a (5/11)horsepower (hp) motor (work output $250 \mathrm{ft}-\mathrm{lb} / \mathrm{sec}$ ), how long will it take to empty the full tank (to the nearest minute)? c. Show that the pump in part (b) will lower the water level $10 \mathrm{ft}$ (halfway) during the first 25 min of pumping. d. The weight of water What are the answers to parts (a) and (b) in a location where water weighs $62.26 \mathrm{lb} / \mathrm{ft}^3$ ? $62.59 \mathrm{lb} / \mathrm{ft}^3 ?$

Determine two coterminal angles (one positive and one negative) for each angle. Give your answers in radians.

$$\theta=\frac{8 \pi}{45}$$

In Exercises $21$ through $24$, convert the indicated angle from radians to degrees.

a. $\frac{2 \pi}{3}$ $\quad$ b. $-\frac{3 \pi}{4}$

Let E be an algebraically closed extension field of a field F. Show that the algebraic closure $\bar{F}_E$ of $F$ in $E$ is algebraically closed. (Applying this exercise to $\mathbb{C}$ and $\mathbb{Q}$, we see that the field of all algebraic numbers is an algebraically closed field.)

Solve the equation.
|7x + 3| = 11