Solve each equation. Check your solution. k-32.9=16.5

Let $A$ and $B$ be similar matrices. Find bases $\mathcal{A}$ and $\mathcal{B}$ for $R^n$ such that $[T_A]_{\mathcal{A}}=A$ and $[T_A]_{\mathcal{B}}=B$.

An environmentalist group collects a liter of water from each of 45 randomly chosen locations along a steam and measures the amount of dissolved oxygen in each specimen. The mean is 4.62 milligrams per liter (mg/L). Is this strong evidence that the stream has a mean dissolved oxygen content of less than 5 mg per liter?

In one year, there were 116 homicide deaths in Richmond, Virginia. For a randomly selected day, find the probability that the number of homicide deaths is 1. Compare the calculated probabilities to these actual results: 268 days (no homicides); 79 days (1 homicide); 17 days (2 homicides); 1 day (3 homicides); no days with more than 3 homicides.

Divide. $\left(2 x^{3}+9 x^{2}+14 x+5\right) \div(2 x+1)$

Use Cramer’s rule to solve the system of equation.

$$\left\{ \begin{array} { l } { 3 x - 4 y = 9 } \\ { x + 2 y = 8 } \end{array} \right.$$

The perimeter of a triangle is at most 32 cm. One side is 11 cm long. The other two sides are the same length,Draw a diagram and show your work.

Evaluate each expression, where

$$\oplus$$

and

$$\ominus$$

indicate addition and subtraction, respectively, using a 12-hour clock.

$$5 \ominus 5$$

Recall that the compound interest formula for annual compounding is $A(P, r, t)=P(1+r)^{t}$ where A is the future value of an investment of P dollars after t years at an interest rate of r. a. Calculate $\frac{\partial A}{\partial P}$, $\frac{\partial A}{\partial r}$, and $\frac{\partial A}{\partial t}$, all evaluated at (100, 0.10, 10). (Round your answers to two decimal places.) Interpret your answers. b. What does the function $\left.\frac{\partial A}{\partial P}\right|_{(100,0.10, t)}$ of t tell about your investment?

The charges of an electron and a positron are -e and +e. The mass of each is

$$9.11 × 10^-31 kg$$

. What is the ratio of the electrical force to the gravitational force between an electron and a positron?

Which expression illustrates the Associative Property? F. abc = bac G. 2(x - 3) = 2x - 6 H. (p + 3) - t = p + (3 - t) J. 5 + (-5) = 0

Use a graphing utility to graph each function. Use a range setting so that the graph is shown for at least two periods.

$$y = \frac { 1 } { 2 } \tan \pi x$$

Choose the letter of the correct term or concept below to complete the sentence. a. psychobiologist b. hypothesis c. structuralist d. functionalist e. behaviorist f. theory g. clinical psychologist h. developmental psychologist i. experimental psychology j. industrial / organizational psychology. Psychologists who do research in memory, perception, and learning are involved in ___________.

Evaluate the expression.

$$\sqrt [ 5 ] { 243 }$$