The Ruizes offer each of their children two different options for increasing the child’s weekly allowance. Option 1: Increase the allowance by one half of the current allowance. Option 2: Increase the allowance by $3 per week. Describe under what conditions each option is preferable. Justify your answers.

A triangle has sides a = 2 and b = 3 and angle

$$C = 60^\circ.$$

Find the length of side c.

A pizzeria charges $11 for a large cheese pizza. The pizzeria is offering a special deal. If you buy 3 large cheese pizzas, you can choose to get a fourth cheese pizza free. Is the cost of the pizzas a function of the number of pizzas purchased? Explain.

In "What Happened During the Ice Storm," which element is important in establishing the theme? A. Setting B. Dialogue C. Point of view D. Tone

In how many ways can five airplanes line up for a departure on a runway if the plane with the greatest number of passengers must depart first?

Find a quadratic equation with integral coefficients having the given roots.

$$\frac { - 2 + \sqrt { 5 } } { 4 } , \frac { - 2 - \sqrt { 5 } } { 4 }$$

To find out about viruses, which link would be most helpful? F. Tales of a Survivor G. Views from Space H. National Tuberculosis Center, CA J. Go Inside a Virus

A phone company set the following rate schedule for an m-minute call from any of its pay phones.

$$c ( m ) = \left\{ \begin{array} { l l } { 0.70 } & { \text { when } m \leq 6 } \\ { 0.70 + 0.24 ( m - 6 ) } & { \text { when } m > 6 \text { and } m \text { is an integer } } \\ { 0.70 + 0.24 ( [ m - 6 ] + 1 ) } & { \text { when } m > 6 \text { and } m \text { is not an integer } } \end{array} \right.$$

What is the cost of a

$$9\frac{1}{2}$$

minute call.

Simplify the expression, if possible.

$$\frac { x ^ { 2 } + 13 x + 36 } { x ^ { 2 } - 7 x + 10 }$$

Why are lipids such a good fuel source for metabolic reactions?

$$\begin{array} { l } { \text {The total worldwide box-office receipts for a long-running } } \\ \text{movie are approximated by the function } \\ { T ( x ) = \frac { 120 x ^ { 2 } } { x ^ { 2 } + 4 } } \\ { \text {where } T ( x ) \text { is measured in millions of dollars and } x \text { is the } } \\ { \text {total receipts changing } 1 \text { year, } 3 \text { years, and } 5 \text { years after the } } \\ { \text {release? } } \end{array}$$

Prove:

$$\left. \begin{array} { l l } { \operatorname { sech } ^ { - 1 } x = \cosh ^ { - 1 } ( 1 / x ) , } & { 0 < x \leq 1 } \\ { \operatorname { coth } ^ { - 1 } x } & { = \tanh ^ { - 1 } ( 1 / x ) , \quad | x | > 1 } \\ { \operatorname { csch } ^ { - 1 } x } & { = \sinh ^ { - 1 } ( 1 / x ) , \quad x \neq 0 } \end{array} \right.$$

Solve. (x-4)(x+1)=0

Find the coordinates of the centroid of the triangle with the given vertices. X (5, 7), Y (9, -3), Z (13, 2)