Write each product using the Distributive Property. Then simplify. 11(25)

Dale has a maximum of 800 minutes on his cell phone plan that he can use each month. Daytime minutes cost $0.15, and nighttime minutes cost$0.10. Dale plans to use at least twice as many daytime minutes as nighttime minutes. If Dale uses at least 200 nighttime minutes and does not go over his limit, what is his maximum bill? his minimum bill?

Evaluate the following limits.

$$\lim _ { x \rightarrow \infty } \left( \csc ( 1 / x ) \left( e ^ { 1 / x } - 1 \right) \right)$$

Tell whether the angles are complementary, supplementary, or neither. m∠5 = 37°, m∠6 = 53°

Solve each equation. Check your answer.

$$\sqrt { - x } = \sqrt { 2 x + 1 }$$

A certain percentage of water that fails to Earth’s surface as precipitation does not become surface water or groundwater and does not evaporate back into the atmosphere. Which of the following most likely explains what happens to this water? A. The water falls into the ocean, where it-evaporates back into the atmosphere. B. The water is stored as snow and ice on Earth’s surface. C. The water molecules are broken down into hydrogen and oxygen atoms. D. The water is absorbed and used by plants

Simplify: 6 1/6 - 2 1/2

Solve each linear inequality.

$$7 - \frac { 4 } { 5 } x < \frac { 3 } { 5 }$$

Determine whether the statement is true or false. If $T:R^n\to R^m$ and $U:R^p\to R^n$ are linear transformations with standard matrices A and B, respectively, the standard matrix of TU equals BA.

Find the total of each set of numbers. {31, 36, 28, 34, 25}

Opposite vertices of a rectangular box whose edges are parallel to the coordinate axes are given. List the coordinates of the other six vertices of the box. (5, 6, 1); (3, 8, 2)

Solve the given initial-value problem.

$$y ^ { \prime \prime } + 2 y ^ { \prime } + 5 y = \delta ( t - \pi / 2 ) , \quad y ( 0 ) = 0 , \quad y ^ { \prime } ( 0 ) = 2.$$

Explain how you would find the measures of two angles

$$\theta$$

between

$$0 ^ { \circ }$$

and

$$360 ^ { \circ }$$

such that

$$\sin \theta = - 0.5000$$

.

Write the product in standard form without using a calculator.

$$(5i-3)(2i+1)$$