Think back to the personalities you assigned to natural features in Section 1. What if people with these same personalities were working to create a government? What kind would they create? Would they rule as tyrants or build a democracy? Write your thoughts in your notebook.

The path of a softball is modeled by $-12.5(y-7.125)=(x-6.25)^2$.

The coordinates x and y are measured in feet, with x=0 corresponding to the position from which the ball was thrown.

Use the zoom and trace features of the graphing utility to approximate the highest point the ball reaches and the distance the ball travels.

When the son calls his father "rumpled, kind, bankrupt of honor, flushed with certainty," we can infer that the son _____. A. fears his father B. loves his father C. despises his father D. doesn't know his father well

The same resistors are used to construct circuit 3 (Figure19.82), using the same 10 V battery as before. Make a complete accurate graph of potential versus location for circuit 3. Label the y axis numerically. Be sure to explain the significant features of your graph.

The percentage of juice lost after thawing for 19 different strawberry varieties appeared in the article “Evaluation of Strawberry Cultivars with Different Degrees of Resistance to Red Scale” (Fruit Varieties Journal [1991]: 12– 17): a. Are there any observations that are mild outliers? Extreme outliers? b. Construct a boxplot, and comment on the important features of the plot.

$$\begin{array}{llllllll}{46} & {51} & {44} & {50} & {33} & {46} & {60} & {41} & {55} & {46} & {53} & {53} \\ {42} & {44} & {50} & {54} & {46} & {41} & {48} & {} & {} & {}\end{array}$$

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Given sentence below refers to a numbered sentence in the passage. Write the letter of the choice that gives the sentence a meaning that is closest to the original sentence.
________ Farmers constantly came under the rule of new, increasingly powerful and __________ neighbors.
a. cruel
b. kind
c. authoritarian
d. persecuted

Determine where the given function is increasing and decreasing and where its graph is concave upward and concave downward. Sketch the graph of the function. Show as many key features as possible (high and low points, points of inflection, vertical and horizontal asymptotes, intercepts, cusps, vertical tangents).

$$f(x)=e^x+e^{-x}$$

For the system in the given figure,

a. What is the flow direction?

b. What kind of machine is at $A$ ?

c. Do you think both pipes, $A B$ and $C A$, are the same diameter?

d. Sketch in the EGL for the system.

e. Is there a vacuum at any point or region of the pipes? If so, identify the location.

The expensive ones cost $\$ 7$ each, whereas the worthless ones sold for only $\$ 2$ each. Monongahela spent $\$ 111$ and bought three more expensive ones than worthless ones. How many of each kind did she buy?

Assume that two firms issue bonds with the following characteristics. Both bonds are issued at par.

Ignoring credit quality, identify four features of these issues that might account for the lower coupon on the ABC debt. Explain.

Match each of the deposition or erosional features in Column 1 with the phrase in Column 2 that best applies to that feature. Briefly describe HOW each feature forms and WHERE it forms. A CHOICE MAY BE USED MORE THAN ONCE AND SOME CHOICES MAY NOT BE USED.

$$\begin{array}{ll}\text { Column } 1 & \text { Column } 2 \\ 12 \text { outwash plain [3] } & \text { (a) deposited by glaciers } \\ & \text { (b) deposited mostly by } \\ & \text { glaciers } \\ & \text { (c) formed by glacial } \\ & \text { erosion }\\& \text{ (d) not related to glaciation}\end{array}$$

The American College of Obstetrician s and Gynecologists says that out of every 100 babies born in the United States, 3 have some kind of major birth defect. How would you assign random numbers to conduct a simulation based on this proportion?

Choose the best answer to given of the following. Explain your reasoning with one or more complete sentences.
Which kind of object is the best standard candle for measuring distances to extremely distant galaxies?
(a) parallax
(b) a Cepheid variable star
(c) a white dwarf supernova

The greatest integer function is a special kind of step function. The greatest integer function, also known as a floor function, $G(x)=\lfloor x\rfloor$ is defined as the greatest integer less than or equal to $x$.

Use your graphing calculator to graph $G(x)=\lfloor x\rfloor$..