Following are forecasts of worldwide annual cell phone handset sales:

$$\begin{matrix} \text{Year x} & \text{3} & \text{5} & \text{7}\\ \text{Sales y (millions)} & \text{500} & \text{600} & \text{800}\\ \end{matrix}$$

(x=3 represents 2003). Complete the following table and obtain the associated regression line. (Round coefficients to 2 decimal places.)

$$\begin{matrix} & \text{} & \text{x} & \text{y} & \text{xy} & \text{}{x^{2}}\\ & \text{} & \text{3} & \text{500} & \text{} & \text{}\\ & \text{} & \text{5} & \text{600} & \text{} & \text{}\\ & \text{} & \text{7} & \text{800} & \text{} & \text{}\\ \text{Totals} & \text{} & \text{} & \text{} & \text{}\\ \end{matrix}$$

Use your regression equation to project the 2008 sales.

Find the sum or difference.

$$( - 2 x + 1 ) - \left( - 3 x ^ { 2 } + x \right)$$

In $\triangle A B C, m \angle B=26^{\circ}, a=20$ in., and c = 10 in. Find b.

How does the temperature of ocean water affect its density?

Classify the polynomial according to its degree and number of terms.

$$10 t - 4 t ^ { 2 } + 6 t ^ { 3 }$$

Use the following values, where needed: radius of the Earth = 4000 mi = 6440 km, 1 year (Earth year) = 365 days (Earth days), 1 AU=

$$92.9 \times 10 ^ { 6 }$$

mi=

$$150 \times 10 ^ { 6 }$$

km. The planet Jupiter is believed to have a rocky core of radius 10,000 km surrounded by two layers of hydrogen-a 40,000 km thick layer of compressed metallic-like hydrogen and a 20,000 km thick layer of ordinary molecular hydrogen. The visible features, such as the Great Red Spot, are at the outer surface of the molecular hydrogen layer.

Evaluate each expression.

$$\log _ { 121 } 11$$

Find the equation of the line that has a $33.7^{\circ}$ slope angle and a y-intercept at (0, 7). Assume the line has a positive slope.

A cell phone is packaged in a rectangular cardboard container prior to shipment. The height of the container is 12 in., and the base has dimensions of 5 in. by 7 in. Compute the lateral area of the cardboard container. Compute the surface area of the cardboard container. The fee to ship the phone to a customer is $4.50 plus$0.05 per square inch of the exterior surface of the container. Compute the total shipping fee.

Determine whether the improper integral converges and, if so, evaluate it.

$$\int _ { 2 } ^ { \infty } e ^ { - 2 x } d x$$

Find the next number In the pattern using the given rule. Subtract 7: 84, 77, 70, 63, ...

Solve each proportion. $\frac{2 b-1}{4}=\frac{b-2}{12}$

Susan makes and sells purses. The purses cost her $12 each to make, and she sells them for$25. This Saturday, she is renting a booth at a craft fair for $60. Write an equation that can be used to find the number of purses Susan must sell to make a profit of$250 at the fair.

Coach O'Rourke has a measuring wheel that records the distance the wheel is rolled along the ground. The circumference of the wheel is one yard. If the wheel is pushed half a mile, how many times will the wheel go around (1 mi = 5280 ft)?