The average scores of the bowlers on two different bowling teams are given. Compare the spreads of the data sets using (a) the range and (b) the mean absolute deviation. Team 1: 162, 150, 173, 202 Team 2: 140, 153, 187, 196

Write a differential equation describing the given situation. (Do not try to solve the equation.) The price p(t) of a commodity changes with respect to time at a rate that is proportional to the surplus S(p) - D(p), where S and D are the supply and demand, respectively.

Multiply or divide as indicated. $\frac{p^{2}-25}{4 p} \cdot \frac{2}{5-p}$

If you want to use a converging lens to set fire to a piece of paper, why should the light source be farther from the lens than its focal point?

How can the name of a prism or a pyramid help you visualize the cross sections of the solid?

Solve the inequality. Graph the solution set on a number line. 5 < 3 + g

Rewrite the sentences to correct the vague pronoun. Gloria was late for school, and she forgot her homework. This got her in trouble with Mr Goodson.

a. Why were farmers in Massachusetts angry enough to join Shays's Rebellion? b. How did leaders like George Washington react to Shays's Rebellion? c. What was the eventual outcome of the rebellion and how did it affect the national Congress?

Write each decimal as a percent. 0.156

Tell whether the expressions in each pair are equivalent.

$$\frac { 63 a b } { 7 a } \text { and } 9 a b$$

A nonuniform beam 4.50 m long and weighing 1.40 kN makes an angle of $25.0 ^ { \circ }$ below the horizontal. It is held in position by a frictionless pivot at its upper right end and by a cable 3.00 m farther down the beam and perpendicular to it. The center of gravity of the beam is 2.00 m down the beam from the pivot. Lighting equipment exerts a 5.00-kN downward force on the lower left end of the beam. Find the tension T in the cable and the horizontal and vertical components of the force exerted on the beam by the pivot. Start by sketching a free-body diagram of the beam.

Identify each equation. If it is a parabola, give its vertex, focus, and directrix; if it is an ellipse, give its center, vertices, and foci; if it is a hyperbola, give its center, vertices, foci, and asymptotes. $4 x^{2}+y^{2}+8 x-4 y+4=0$

use any method to solve the system. { -x + 3y = 17 , 4x + 3y = 7

Use the unit circle to find the exact value of each trigonometric function.
$\tan 300^{\circ}$