There are 42 Major League baseball players (as of 2011) that have hit 50 or more home runs in one season. Construct a stem and leaf plot and analyze the data.

$$\begin{array}{llllll}50 & 51 & 52 & 54 & 59 & 51 \\ 54 & 50 & 58 & 51 & 54 & 54 \\ 56 & 58 & 56 & 70 & 54 & 52 \\ 58 & 54 & 64 & 52 & 73 & 57 \\ 50 & 60 & 56 & 50 & 66 & 54 \\ 52 & 51 & 58 & 63 & 57 & 52 \\ 51 & 50 & 61 & 52 & 65 & 50\end{array}$$

Complete the sentence by adding an adverb phrase that answers the question posed in the parentheses. Example 1. (Why?) Mircea bought an inexpensive camera $\underline{\text{for her beach trip}}$.

(How?) Call your cousin ____________________________________________.

Write a polynomial equation of least degree for each set of roots. Does the equation have an odd or even degree? How many times does the graph of the related function cross the x-axis? -2, -0.5, 4

Find an equation of the tangent line to the graph of the function at the given point.

$$\begin{matrix} \text{Function} & \text{Point}\\ \text{y=tan x} & \text{}{\left(-\frac{\pi}{4},-1\right)}\\ \end{matrix}$$

Describe the formation of an aqueous KI solution.

Where should a $+2-\mu C$ charge be placed so that it would experience zero total force from the other two charges? (A) at some point between the two charges (B) at some point to the left of x = 1 m (C) at some point to the right of x = 6 m (D) There is no such position.

Let

$$Q \left( x ^ { \prime } , y ^ { \prime } \right)$$

be any point of L' different from

$$P \left( x _ { 1 } , y _ { 1 } \right)$$

Explain why

$$\frac { y ^ { \prime } - y _ { 1 } } { x ^ { \prime } - x _ { 1 } } = m$$

.

Write two different proportions using each set of numbers. Use cross products to justify your answer. A. $1.80,$1.20, 14, 21 B. 1, 3.5, 31.50, 9.0 C. 11.7, 8424, 0.02, 14.4

Solve the given problems.

The vertical cross-section of a culvert under a road is elliptical. The culvert is $18$ m wide and $12$ m high. Find an equation to represent the perimeter of the culvert with the origin at road level and $2.0$ m above the top of the culvert.

Factor. Assume that variables used as exponents represent positive integers.

$$2 x^{2 n}+11 x^n+5$$

In how many ways can a teacher arrange $6$ students in the front row of a classroom with the following number of students? $\\$$30$

When did the French get involved in the American Revolution?

Perform the given translation on (3, 1). Give the coordinates of the translated point. 2 units right.

For the point given in polar coordinates, state the axis on which the point lies if it is graphed in a rectangular coordinate system. Also state whether it is on the positive portion or the negative portion of the axis. $\left(8,450^{\circ}\right)$