Identify the following terms or individuals and explain their significance:

Neanderthals

Find a solution $x \in \mathbf{Z}, 0 \leq x<n$, for each of the congruences $a x \equiv b(\bmod n)$. Note that, $a$ and $n$ are relatively prime.\

$$13 x+19 \equiv 2(\bmod 23)$$

Determine whether each pair of lines is parallel, perpendicular, or neither. The line containing C(-4, -9) and D(5, 9). The line containing M(-7, -1) and N(1, -5)

Solve the indicated system by setting $X$ equal to the appropriate matrix and reducing it using the up-arrow key and editing repeatedly the three basic commands. To avoid losing the command to interchange rows, which is seldom necessary, execute it at least once in each exercise even if it is not needed. Solve the indicated exercises listed below..

Exercise 61

Write the plural form of each word. rodeo

Follow the steps given above to work with the arithmetic sequence $a_n=\frac{1}{2} n+5$ using a graphing calculator.

Graph the sequence as it appears on the graphing calculator. Be sure to adjust the [WINDOW] settings as needed.

A table of values of an increasing function $f$ is shown. Use the table to find lower and upper estimates for $\int_{10}^{30} f(x)~dx$.

The Anglo-Saxon prefix fore- means "before," in the sense of time, place, or condition. Using this understanding, write the meaning of the word forefathers.

In a test to determine the bulk modulus of a liquid it was found that as the absolute pressure was changed from 15 to 3000 psi the volume decreased from 10.240 to 10.138 in.$^{3}$ Determine the bulk modulus for this liquid.

Add the necessary periods to abbreviations in the following sentences. If a sentence is already correct, write C to the left of the item number.

Ms Dexter is here to see you.

Use a table of integrals to evaluate the following indefinite integrals. Some of the integrals require preliminary work, such as completing the square or changing variables, before they be found in a table. $\int \frac{d x}{225-16 x^{2}}$

Complete the given table and use the table to graph the linear equation.

$$\begin{aligned} & y=6 x\\ &\begin{array}{l|l|l|l} \hline x & 0 & & -1 \\ \hline y & & 0 & \\ \hline \end{array} \end{aligned}$$

A rod of length $2$ meters and density $\delta(x) = 3 − e^{−x}$ kilograms per meter is placed on the $x$-axis with its ends at $x = \pm1.$

(a) Will the center of mass of the rod be on the left or right of the origin? Explain.

Write $\frac{21}{28}$ in lowest terms.