Solve each system by elimination.

$$\begin{cases} 3m + 4n = -13 \\ 5m + 6n = -19 \end{cases}$$

Solve each system by elimination.

r + 3s = 7

2r - s = 7

Choose the correct term to complete each sentence. • combination • complement • conditional probability • dependent events • expected value • independent events • mutually exclusive • permutation • probability distribution. The predicted average outcome of many trials in an experiment is called the _____.

A telephone wire has a current of $20 \mathrm{~ \mu A}$ flowing through it. How long does it take for a charge of 15 C to pass through the wire?

Find the standard matrix of the linear transformation T, and use it to determine whether T is onto. $T:R^3\to R$ defined by

$$\begin{equation*}T\begin{pmatrix}\begin{bmatrix}x_1\\x_2\\x_3\end{bmatrix}\end{pmatrix} =2x_1-5x_2+4x_3.\end{equation*}$$

Solve the equation.

$$( a - 5 ) ^ { 2 } - 4 ( a - 5 ) - 21 = 0$$

True or False. Resource prices provide information to producers that allows them to use resources in a way that maximizes their value.

Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. ∫ sin² 2x cos 2x dx = 1/3sin³ 2x + C

Simplify each expression. $2 ^ { 4 } \div 8 + 5$

Use the data in the accompanying table and express all results in decimal form.

$$\begin{matrix} \text{ } & \text{Driver Killed} & \text{Driver Not Killed}\\ \text{Seatbelt used} & \text{3655} & \text{7005}\\ \text{Seatbelt not used} & \text{4402} & \text{3040}\\ \end{matrix}$$

Fi nd the probability of randomly selecting a driver and getting one who was

not ki lled given that the driver was using a seatbelt.

Determine whether each statement is true or false. If the statement is falsey make the necessary change(s) to produce a true statement. The functions

$$f ( x ) = 3 ^ { - x } \text { and } g ( x ) = - 3 ^ { x }$$

have the same graph.

Use prime factorization to subtract these fractions: 1/18 - 1/30

Write the integral as a sum of integrals without absolute values and evaluate.

$$\int _ { 0 } ^ { \pi } | \cos x | d x$$

Fill in each blank so that the resulting statement is true. In order to factor

$$7 x ^ { 2 } - 23 x + 6$$

begin by finding two first terms whose product is _____ and two last terms whose product is _____.