Use the formula to determine the value of the indicated variable for the values given. Use a calculator when one is needed. When necessary, use the π key on your calculator and round answers to the nearest hundredth.

$$A=\dfrac{1}{2}h(b_1+b_2)$$

; determine h when A=36,

$$b_1=4$$

, and

$$b_2=8$$

(geometry).

Find a value for w so that the equation has (a) two solutions and (b) three solutions. Explain your reasoning.

$$5 x ^ { 3 } + w x ^ { 2 } + 80 x = 0$$

Use the formula to determine the value of the indicated variable for the values given. Use a calculator when one is needed. When necessary, use the π key on your calculator and round answers to the nearest hundredth. C=5/9 (F-32)l determine C when F=77 (temperature conversion).

Use the formula to determine the value of the indicated variable for the values given. Use a calculator when one is needed. When necessary, use the π key on your calculator and round answers to the nearest hundredth.

$$m=y_2-y_1/x_2-x_1$$

, determine m when

$$y_2=8, y_1=-4, x_2=-3$$

, and

$$x_1=-5$$

(mathematics).

Use the formula to determine the value of the indicated variable for the values given. Use a calculator when one is needed. When necessary, use the π key on your calculator and round answers to the nearest hundredth. m=a+b+c/3; determine a when m=85, b=77, and c=92 (statistics).

Use the formula to determine the value of the indicated variable for the values given. Use a calculator when one is needed. When necessary, round answers to the nearest hundredth.
$A = bh;$ determine $A$ when $b = 12$ and $h = 4$ (geometry).

Find the sum or difference.

$$\left( 5 x ^ { 2 } - 2 \right) + \left( 8 x ^ { 3 } + 2 x ^ { 2 } - x + 9 \right)$$

$$w - 3 \frac { 2 } { 3 } = 1 \frac { 1 } { 2 }$$

The Centers for Disease Control and Prevention say that about 19.5% of teenagers smoke tobacco (down from a high of 38% in 1997). A college has 522 students in its freshman class. Is it likely that more than 25% of them are smokers? Explain.

Write the vocabulary word that best completes the following sentence: Although the newspaper editor laughed at him, Wright somehow knew ___________ that the man was amused, not scornful.

Graph the solution set of the inequality, where x is an integer, on the number line. 3(x+4)≥4x+13

Graph the solution set of the inequality, where x is an integer, on the number line. -15<-4x-3

Calculate the indefinite integral.

$$\int \left( 4 x ^ { 3 } - 2 x ^ { 2 } \right) d x$$

Graph the solution set of the inequality, where x is an integer, on the number line. x/3≤-2