Match each lettered definition with the correct numbered item below. h. One of the most important routes used to drive cattle from Texas to rail centers in Kansas 1. Americanization 2. Battle of the Little Bighorn 3. Bureau of lndian Affairs 4. Chisholm Trail **5.**Dawes Act 6. dugouts 7. Exodusters 8. hard-rock mining 9. Homestead Act 10. hydraulic mining 11 . sod houses 12. Texas longhorn 13. Wounded Knee Massacre

Three forces with magnitudes of 75 pounds, 100 pounds, and 125 pounds act on an object at angles of 30$^{\circ}$, 45$^{\circ}$, and 120$^{\circ}$, respectively, with the positive x-axis. Find the direction and magnitude of the resultant force.

Let the matrix act on $\mathbb{C}^{2}$. Find the eigenvalues and a basis for each eigenspace in $\mathbb{C}^{2}$.

$$\left[ \begin{array}{rr}{5} & {-2} \\ {1} & {3}\end{array}\right]$$

For the problem below first choose an interpretation for the operation; second, act out the problem with pattern blocks (or drawings) and record the solution; and third, write a story problem for your interpretation.

$$3 \div \frac{3}{2}$$

Omit the underscored parts of the following sentences and write the resulting sentences on the lines given. Use ellipsis points to punctuate each omission correctly.

Example 1. “It is time for a change, $\underline{\text{my fellow citizens, and}}$, and we must act now.” $\underline{\color{#c34632}{“It ~is ~time ~for ~a ~change. . . . [W]e ~must ~act ~now.”}}$

Marianne wrote in her essay, “I believe children are the key to our future. $\underline{\text{They will continue their ancestors’ quest for happiness and truth}}$. Therefore, we should try to nurture them.”______________________________________________________________________________________________________________________________________________________

The italicized word in each item below appears in The Tragedy of Julius Caesar, Act II. For each item, determine whether or not the words are synonyms, or words of similar meanings. Explain your reasoning.

insurrection, revolt

Three forces with magnitudes of 400 newtons, 280 newtons, and 350 newtons act on an object at angles of -30$^{\circ}$, 45$^{\circ}$, and 135$^{\circ}$, respectively, with the positive $x$-axis. Find the direction and magnitude of the resultant force.

The number (in thousands) of students taking the SAT (y$_{1}$) and the ACT (y$_{2}$) for the years 2008 through 2013 can be modeled by

$$\begin{array}{l} {y}_{1}=-5.824 t^{3}+182.05 t^{2}-1832.8 t+7515 \text { and } \\ y_{2}=3.398 t^{3}-103.63 t^{2}+1106.5 t-2543 \end{array}$$

where t represents the year, with t = 8 corresponding to 2008. Use the model y$_{1}$ + y$_{2}$ to estimate the total number of students taking the SAT and the ACT in 2017.

Assume you are a member of a commission established to evaluate laws. Consider the following acts. In each case decide whether or not the act should be treated as a crime. Then rank the crimes from most serious to least serious using the following scale: VS (very serious), S (serious), U (undecided), LS (less serious), and NS (not serious). Also note whether you think an act should not be a crime (NAC). Explain your decisions.

Marley is a passenger in a car she knows is stolen, although she did not participate in the theft of the car.

The text aids that precede the play include a background section on ancient Rome. Using a chart like the one shown, identify two passages in Act I that are clarified by this background information. Explain your choices .

A packing crate weighing $1150 \mathrm{~N}$ is placed on a loading ramp that is inclined at an angle of $34^{\circ}$ as shown. Find the components of weight, $F 1$ and $F 2$, which act perpendicular to and parallel to the ramp surface, respectively.

In a suit against Ethan, Francisco obtains an award of damages. This is

a. a payment of money or property as compensation.
b. an order to do or to refrain from doing a particular act.
c. an order to perform what was promised.
d. the cancellation of a contract.

(a) What three fears does Juliet reveal in her Act IV, Scene iii, soliloquy? (b) What does the soliloquy reveal about her personality? Explain your response and support it with references to the text.

The italicized word in each item below appears in The Tragedy of Julius Caesar, Act II. For each item, determine whether or not the words are synonyms, or words of similar meanings. Explain your reasoning.

augmented, angered