Graph the following relation on a coordinate grid.

y = 2x - 1

While following a treasure map, you start at an old oak tree. You first walk $825 {m}$ directly south, then turn and walk $1.25 {km}$ at $30.0^{\circ}$ west of north, and finally walk $1.00 {km}$ at $32.0^{\circ}$ north of east, where you find the treasure: a biography of Isaac Newton! (a) To return to the old oak tree, in what direction should you head and how far will you walk? Use components to solve this problem. (b) To see whether your calculation in part (a) is reasonable, compare it with a graphical solution drawn roughly to scale.

State the expression without negative exponents.

$$(2 w)^{-3}$$

The case focuses on U.S. markets. How are European markets affected by holiday shopping?

Simplify, and write without negative exponents: $5 a^{-1}$

Use the Comparison Test or the Limit Comparison Test to determine whether the given series converge.

$\sum_{k=2}^{\infty} \frac{\ln ^2 k}{k^4}$

Later on, the forester in the earlier exercise shows you a histogram of the tree diameters he used in analyzing the woods that was for sale. Do you think he was justified in using a Normal model? Explain, citing some specific concerns.

Four quick bugs nested in a tree and plotted to increase exponentially. Twenty days later there were 200 quick bugs. Write the exponential equation which expresses the number of quick bugs as a function of time.

Graph and label the point on the coordinate plane to the right.

B(-3,4)

Find the coordinate of the given point.

$$C$$

Use the Comparison Test or the Limit Comparison Test to determine whether the given series converge.

$$\sum_{k=1}^{\infty} \frac{\sin ^2 k}{k^2}$$

What is the coordinate of the midpoint M of $\overline{PQ}$?

State the expression without negative exponents. $5^{-1}$

Simplify, and write without negative exponents: $p^2 q^{-1}$