A person sitting at the beach is wearing a pair of Polaroid sunglasses and notices little discomfort due to the glare from the water on a bright sunny day. When she lies on her side, however, she notices that the glare increases. Why?

What rules did Benedict set up for those who practiced monasticism?

Which type of immune response works in concert with cytotoxic T cells against virally infected cells? a. natural killer cells b. complement c. antibodies d. memory

A man is fishing from a dock, using a bow and arrow. To strike a fish that he sees beneath the water, should he aim (a) somewhat above the fish, (b) directly at the fish, or (c) somewhat below the fish?

Put yourself in the shoes of a company president: The extremely successful launch of a new product has resulted in an additional $5 million in unexpected operating cash flows. You can think of several ways to use the extra$5 million. One alternative is to pay out a special dividend to the shareholders. As president, you are accountable to the board of directors, which is elected by the shareholders. Rather than pay a dividend, you could repurchase shares of the company's own stock. The stock seems currently to be underpriced, and by purchasing treasury shares you are distributing surplus cash to shareholders without giving them taxable dividend income. You could also pay a special year-end bonus to your employees. With 500 employees, that would average $10,000 per employee, quite a nice holiday bonus. After all, it was the employees' hard work and dedication that earned the money in the first place. Or you could use the money to reinvest in the company. By reinvesting the money, it might be easier to continue the upward earnings trend in the future. Finally, you could approach the board of directors for a compensation adjustment of your own. It's been a great year, and you are the president of the company. Shouldn't you at least share in the success? Determine how you would allocate the additional$5 million. Are there other areas in which to spend the money not mentioned in the above case? Is it ethical for the president to be directly compensated based on the company's performance each year?

Find the x-intercepts of the parabola given by the equation.

$$y = 3 x ^ { 2 } + 6 x$$

When an observer peers over the edge of a deep, empty, metal bowl on a kitchen table, he does not see the entire bottom surface. Therefore, a small object lying on the bottom is hidden from view, but the object can be seen when the bowl is filled with liquid A. When the bowl is filled with liquid B, however, the object remains hidden from view. Which liquid has the greater index of refraction?

Consider the following LP and its optimal tableau (Table 58):

$$\begin{aligned} \max z &=4 x_{1}+x_{2}+2 x_{3} \\ \text { s.t. } & 8 x_{1}+3 x_{2}+x_{3} \leq 2 \\ & 6 x_{1}+x_{2}+x_{3} \leq 8 \\ & x_{1}, x_{2}, x_{3} \geq 0 \end{aligned}$$

a. Find the dual to this LP and its optimal solution. b. Find the range of values of the objective function coefficient of x3 for which the current basis remains optimal. c. Find the range of values of the objective function coefficient of x1 for which the current basis remains optimal. TABLE 58:

$$\begin{matrix} \text{z} & \text{x1} & \text{x2} & \text{x3} & \text{s1} & \text{s2} & \text{rhs}\\ \text{1} & \text{8} & \text{1} & \text{0} & \text{0} & \text{2} & \text{16}\\ \text{0} & \text{2} & \text{2} & \text{0} & \text{1} & \text{-1} & \text{4}\\ \text{0} & \text{6} & \text{1} & \text{1} & \text{0} & \text{1} & \text{8}\\ \end{matrix}$$

Given that $X \sim \mathrm{N}\left(23,5^{2}\right)$, find a such that: P(23 - a < X < 23 + a) = 0.427

Explain the purpose of barding and larding.

This reaction has an equilibrium constant of $K_{\mathrm{p}}=2.2 \times 10^{6}$ at 298 K. $2 \mathrm{COF}_{2}(g) \rightleftharpoons \mathrm{CO}_{2}(g)+\mathrm{CF}_{4}(g)$ Calculate $K_P$ for each reaction and predict whether reactants or products will be favored at equilibrium. a. $\operatorname{COF}_{2}(g) \rightleftharpoons \frac{1}{2} \mathrm{CO}_{2}(g)+\frac{1}{2} \mathrm{CF}_{4}(g)$ b. $6 \mathrm{COF}_{2}(g) \rightleftharpoons 3 \mathrm{CO}_{2}(g)+3 \mathrm{CF}_{4}(g)$ c. $2 \mathrm{CO}_{2}(g)+2 \mathrm{CF}_{4}(g) \rightleftharpoons 4 \mathrm{COF}_{2}(g)$

Complete each statement by writing the correct word or words. Scientists who study fossils are called _____.

Which are Lewis acids and which are Lewis bases?

Na+

Find the quotient and the remainder. Check your work by verifying that (Quotient)(Divisor) + Remainder = Dividend. $1-x^{2}+x^{4}$ divided by $x^{2}+x+1$