Identifying Adjective Clauses. Each of the following sentences contains an adjective clause. Underline each adjective clause and circle the word each clause modifies. That package, which just arrived, is for you.

Tell whether each statement is true or false. Explain why any false statements are false. a. If n is an integer, then n is a whole number. b. There are no rational numbers that are also whole numbers. c. All rational numbers are integers. d. A number cannot be both a whole number and a rational number.

To extract gold from its ore, the ore is treated with sodium cyanide solution in the presence of oxygen and water.

$$\begin{array}{r}{4 \mathrm{Au}(\mathrm{s})+\mathrm{SNaCN}(\mathrm{aq})+\mathrm{O}_{2}(\mathrm{g})+2 \mathrm{H}_{2} \mathrm{O}(\mathrm{l}) \rightarrow} \\ {4 \mathrm{NaAu}(\mathrm{CN})_{2}(\mathrm{aq})+4 \mathrm{NaOH}(\mathrm{aq})}\end{array}$$

a. Determine the mass of gold that can be extracted if 25.0 g of sodium cyanide is used. b. If the mass of the ore from which the gold was extracted is 150.0 g, what percentage of the ore is gold?

(a) Decide whether the following series is alternating: $\sum_{n=1}^{\infty} \frac{\sin n}{n^{3}}.$ (b) Use the comparison test to determine whether the following series converges or diverges: $\sum_{n=1}^{\infty}\left|\frac{\sin n}{n^{3}}\right|.$ (c) Determine whether the following series converges or diverges: $\sum_{n=1}^{\infty} \frac{\sin n}{n^{3}}.$

In the sentences below, underline each adverb clause and circle each subordinating conjunction.

Example 1. I brought the tennis rackets $\underline{\text{\boxed{\text{so that}} is one of the most well-known athletes in the world}}$ we can play right after school.

We visited my grandmother whenever we could.

In a series of annual surveys of residents of the United States between 2009 and 2013 Gallup asked, “Is corruption widespread throughout the government in this country or not”? The responses (1 = Yes and 2 = No) were recorded. Is there sufficient evidence to conclude that residents’ perceived corruption in the government fluctuated over the 5 year period?

Solve the inequality. Then graph the solution set on the real number line. $\frac{4}{x+5}>\frac{1}{2 x+3}$

Solve the given rational inequality in this exercise and graph the solution set on a real number line.

$$\frac{x+1}{x+3}<2$$

Find a positive angle and a negative angle that is coterminal to the given angle.

$$-\pi$$

In the independent and subordinate clauses in the given sentences, underline the subjects once and the verbs twice.

In 1909, funding was approved for this statue, which is located between Plymouth, Indiana, and the Yellow River.

$\angle A$ and $\angle B$ are supplementary angles. Find $m \angle A=(-4 x+40)^{\circ}$ and $m \angle B=(x+50)^{\circ}$.

Above the underlined adjective clause, write an E if the clause is essential to the sentence's meaning or N if the clause is not essential to the sentence's meaning. If the clause is not essential, insert commas where they belong.

Call out the numbers $\underline{\text{that you draw from the basket.}}$

Find the responses of the systems governed by the initial conditions $x(0)=1, \dot{x}(0)=-1$ of the following motion equations. a. $2 \ddot{x}+8 \dot{x}+16 x=0$ b. $3 \ddot{x}+12 \dot{x}+9 x=0$ c. $2 \ddot{x}+8 \dot{x}+8 x=0$

The amount of copper ore produced from a copper mine in Arizona is modeled by the function f(x) = 200 + 32x where x is the number of years since 2005 and f(x) is measured in thousands of tons. (a) Sketch a graph of f. (b) What is the slope of the graph? (c) At what rate is the amount of ore produced changing?