Certain sunglasses use a polarizing material to reduce the intensity of light reflected from shiny surfaces, such as water or the hood of a car. What orientation of the transmission axis should the material have to be most effective?

In everyday experience, why are radio waves polarized, whereas light is not?

Fingerprints left on a piece of glass such as a windowpane can show colored spectra like that from a diffraction grating. Why?

Identify the asymptotes, domain, and range of the function.

$$f ( x ) = \frac { 4 } { x } + 5$$

Complete the following conversations that you overhear in school.
A: ¿Donde está el teclado? B: Está delante... la pantalla.

Neon, Ne (atomic number 10) cannot attract any additional electrons. Why?

Factor each polynomial. $r^{3}+343$

Holding your hand at arm’s length, you can readily block direct sunlight from your eyes. Why can you not block sound from your ears this way?

A component has a lognormal failure time distribution with parameters $\mu = 2.5$ and $\sigma = 1.5$. (a) What is the probability that the component is still operating at time 40? (b) What is the probability that the component fails before time 10? (c) What is the mean time to failure of the component? (d) What is the median failure time?

For

$$\mathbf{a}=\left( \begin{array}{c}{2} \\ {-1} \\ {1}\end{array}\right), \mathbf{b}=\left( \begin{array}{c}{1} \\ {2} \\ {-3}\end{array}\right)$$

, and

$$\mathbf{c}=\left( \begin{array}{c}{0} \\ {1} \\ {-3}\end{array}\right)$$

, find: a - b - c

Under what conditions will a hot pie not lose heat to its surroundings?

Lulu looks at her image in a makeup mirror. It is enlarged when she is close to the mirror. As she backs away, the image becomes larger, then impossible to identify when she is $30 \mathrm{~cm}$ from the mirror, then upside down when she is beyond $30 \mathrm{~cm}$, and finally small, clear, and upside down when she is much farther from the mirror. (i) Is the mirror (a) convex, (b) plane, or (c) concave? (ii) What is the magnitude of its focal length? (a) 0 (b) $15 \mathrm{~cm}$ (c) $30 \mathrm{~cm}$ (d) $60 \mathrm{~cm}$ (e) $\infty$

Congenital heart defects: (a) Are present at birth. (b) Result from poor diet. (c) Affect mainly older people. (d) Can be prevented with regular exercise.

Find the volume of the figure to the nearest hundredth. (Answers may vary slightly depending on which approximation of

$$\pi$$

is used.) A cone whose base has a radius of 5.50 in. and whose height is 8.52 in.