Find the length to three significant digits of each arc intercepted by a central angle $\theta$ in a circle of radius r. r=15.1 in., $\theta=210^{\circ}$

Use the following English and metric equivalents, along with dimensional analysis, to convert the given measurement to the unit indicated. English and Metric Equivalents

$$\begin{aligned} 1 \mathrm { in } & = 2.54 \mathrm { cm } \\ 1 \mathrm { ft } & = 30.48 \mathrm { cm } \\ 1 \mathrm { yd } & \approx 0.9 \mathrm { m } \\ 1 \mathrm { mi } & \approx 1.6 \mathrm { km } \end{aligned}$$

12 m to yd

Write in the form $e^{x}$, where x is correct to 4 decimal places: 3000

Do you think the federal programs from the 1930s that still exist today are necessary?

Fill in the blanks with the correct vocabulary word. A(n) ______ is a family tree that shows a heritable trait.

Expand each expression. a. $(\sqrt{7} + \sqrt{3})(\sqrt{7} - \sqrt{3})$ b. $(\sqrt{5} + \sqrt{2})(\sqrt{5} - \sqrt{2})$ c. $(3 + \sqrt{7})(3 - \sqrt{7})$ d. $(2\sqrt{3} + \sqrt{5})(2\sqrt{3} - \sqrt{5})$ e. $(\sqrt{m} + \sqrt{n})(\sqrt{m} - \sqrt{n})$ f. $(a + \sqrt{b})(a - \sqrt{b})$

Verify each identity.

$$\tan \left( \frac { \pi } { 4 } - \theta \right) = \frac { \cos \theta - \sin \theta } { \cos \theta + \sin \theta }$$

The coordinates of a point and its image are given. Is the reflection in the x-axis or y-axis?

$$( - 2 , - 5 ) \rightarrow ( 2 , - 5 )$$

It is often said that “friction always opposes motion.” Give at least one example in which (a) static friction causes motion, and (b) kinetic friction causes motion.

Why must an air mass rise in order to produce precipitation?

How might readers of different ages for example, a teenager and an elderly person-differ in their reactions to the selection from Ecclesiastes, to Psalm 23, or to the parable?

How can you determine the direction of the polarizing axis of a single polarizer?

Decide whether the words in the following pairs are more nearly synonyms or antonyms. On your paper, write S for synonyms or A for Antonyms. prudent-unwise

Find the area between the curves by integrating with respect to x and then with respect to y. Is one method easier than the other? Do you obtain the same answer? $x=y^{2}-2 \text { and } x=2 y$