List five descriptive details that gelp you picture Wyoming. Explain what you find interesting or evocative about the details.

Consider the complex rational expression below.

$$3 - \frac{2}{x-4}\over 5 + \frac{4}{x-4}$$

How is it different from the expression? What is the first step in simplifying this expression? Simplify the expression. Identify any restrictions on x.

What is the period and frequency of the second hand on a clock?

Suppose that the metal electrodes in a battery are shaped like large parallel plates and are 2.00 mm apart, so that they are essentially a parallel-plate capacitor. If the battery supplies a potential difference of 1.5 V between the electrodes, what is the surface charge density on the electrodes (before anything has been connected to the battery)?

Graph the solution set of the system of inequalities. Find the coordinates of all vertices, and determine whether the solution set is bounded.

$$\left\{\begin{aligned} x & \geq 0 \\ y & \geq 0 \\ y & \leq 4 \\ 2 x + y & \leq 8 \end{aligned} \right.$$

Use a truth table to determine whether the given statement is a tautology or a self-contradiction.

$$p \wedge ( q \wedge \sim p )$$

Define economies of scale and explain why they might arise. Define diseconomies of scale and explain why they might arise.

How can you compare the growth rates of linear, exponential, and quadratic functions?

The elevation of the deepest point in the Pacific Ocean is −11,033 meters. The elevation of the deepest point in the Atlantic Ocean is −8,648 meters. a. Write a subtraction expression you can use to find how much deeper the Pacific Ocean’s deepest point is than that of the Atlantic Ocean’s. b. Evaluate your expression.

If the separation between the first and the second minima of a single-slit diffraction pattern is 6.0 mm, what is the distance between the screen and the slit? The light wavelength is 500 nm and the slit width is 0.16 mm.

Use elementary row or column operations to find the determinant.

$$\begin{vmatrix} 3&8&-7\\0&-5&4\\6&1&6\end{vmatrix}$$

Write the number in the form $a + b i$. a) $\frac { 8 i - 1 } { i }$ b) $\frac { - 1 + 5 i } { 2 + 3 i }$ c) $\frac { 3 } { i } + \frac { i } { 3 }$

A parabola has equation $y = ( x + 2 ) ^ { 2 }$ a) Write its x-intercepts. b) Determine the coordinates of its vertex.

Given the equation (ax + b)(ax - b) = 0, solve for x. What do we know about the values of a and b?