Multiply. Write the product in simplest form. 4/9 x 3.

Find each unknown number. Check your work.

$$\frac { b } { 4 } = 12$$

sketch the graph of the inequality. (x + 1)^2 + (y - 2)^2 < 9

Federal regulations set standards for the size of the quarters of marine mammals. A pool to house sea otters must have a volume of ''the square of the sea otter's average adult length (in meters) multiplied by 3.14 and by 0.91 meter." If x represents the sea otter's average adult length and f(x) represents the volume (in cubic meters) of the corresponding pool size, this formula can be written as $f(x)=0.91(3.14) x^{2}$. Find the volume of the pool for each adult sea otter length (in meters). Round answers to the nearest hundredth. (a) 0.8, (b) 1.0, (c) 1.2, (d) 1.5.

Simplify using the index laws: a. $a^{4} b^{5} \times a^{2} b^{2}$ b. $6 x y^{5} \div 9 x^{2} y^{5}$ c. $\frac{5\left(x^{2} y\right)^{2}}{\left(5 x^{2}\right)^{2}}$

Use the method to find the unique solution of the given linear system. -x1 + 5x2 = 4, -x1 - 3x2 = 1

What do the symbols

$$\mu _ { \overline { x } } \text { and } \sigma _ { \overline { x } }$$

represent?

Find each difference. −14 − (−20)

Evaluate the following derivatives. Express your answers in terms of f, g, f', and g'. $\frac { d } { d x } \left( \frac { x f ( x ) } { g ( x ) } \right)$

Suppose that $T$ is linear and

$$\begin{equation*}T\begin{pmatrix}\begin{bmatrix}4\\-2\end{bmatrix}\end{pmatrix}= \begin{bmatrix}-6\\16\end{bmatrix}.\end{equation*}$$

Determine

$$\begin{equation*}T\begin{pmatrix}\begin{bmatrix}-2\\1\end{bmatrix}\end{pmatrix}\text{ and } T\begin{pmatrix}\begin{bmatrix}8\\-4\end{bmatrix}\end{pmatrix}.\end{equation*}$$

Use your book or dictionary to define each term. Chitin _____.

Define hematocrit, and explain how it is determined.

Find the magnitude and direction angle for u. $\langle-7, 24 \rangle$

Evaluate the expression.

$$_5P_2$$