Write out in words how to say each of the following:

$$( f \circ g ) ( 2 ) \quad g ( f ( - 8 ) )$$

Cuerpo de la Paz y MACLA ayudan a niños que requieren cirugia pastica. ________

Write in words how to read each of the following out loud. Then write the shorthand notation for each set. a.

$$\{ x \in U | x \in A$$

and

$$x \in B \}$$

, b.

$$\{ x \in U | x \in A$$

or

$$x \in B \}$$

, c.

$$\{ x \in U | x \in A$$

and

$$x \notin B \}$$

, d.

$$\{ x \in U | x \notin A \}$$

6x + 2y = -12 4x + 3y = 7

$$\text { Find all subgroups of order } 3 \text { in } Z _ { 9 } \oplus Z _ { 3 }$$

Imagine you have stubbed your toe. Think about the function of the nervous system in your body's responses. Write a paragraph describing what happens as your nervous system responds to this minor injury. With your paragraph, include a diagram showing the activity and systems involved in the response.

An investment of $\$5000$ doubles in value every decade. The function $f(x)=5000\cdot 2^x$, where $x$ is the number of decades, models the growth of the value of the investment. How much is the investment worth after $30$ yr?

Find the general solution of the given system.

$$\mathbf{X}^{\prime}=\left(\begin{array}{rr}{12} & {-9} \\ {4} & {0}\end{array}\right) \mathbf{X}$$

For each pair of terms, explain how the meanings of the terms differ. magnification and resolution

Solve each problem, and express the answer in scientific notation. a. $\left(4 \times 10^{2}\right) \times\left(1 \times 10^{8}\right)$ b. $\left(2 \times 10^{-4}\right) \times\left(3 \times 10^{2}\right)$ c. $\left(6 \times 10^{2}\right) \div\left(2 \times 10^{\prime}\right)$ d. $\left(8 \times 10^{4}\right) \div\left(4 \times 10^{1}\right)$

a. A certain element has a phasor voltage of $\mathrm{V} = 100 \angle{30^\circ} \mathrm{V}$ and current of $\mathrm{I} = 5 \angle{120^\circ} \mathrm{A}$. The angular frequency is $1000 \ \mathrm{rad/s}$. Determine the nature and value of the element. b. Repeat for $\mathrm{V} = 20 \angle{-45^\circ} \mathrm{V}$ and current of $\mathrm{I} = 2 \angle{-135^\circ} \mathrm{A}$. c. Repeat for $\mathrm{V} = 50 \angle{45^\circ} \mathrm{V}$ and current of $\mathrm{I} = 10 \angle{45^\circ} \mathrm{A}$.

Graph each rational function.

$$f ( x ) = \frac { x + 2 } { x ^ { 2 } - x - 6 }$$

David wants to solve for x in the equation 4(x+3)=20. He said, "i can rewrite this equation by distributing the 4 on the left side." After distributing, what should his new equation be? Solve this equation using David's method.

Find $(f \cdot g)(-2)$ for the following functions.

$$\begin{array}{l}{f(x)=-x^{2}+2 x-2} \\ {g(x)=2 x+3}\end{array}$$

A. -20 B. 8 C. 120 D. 215