True or false? It is best to use the or operator when determining whether a number is inside a range.

Graph the solution set of the system of inequalities. Find the coordinates of all vertices, and determine whether the solution set is bounded or unbounded.

$$\left\{ \begin{array} { l } { x \geq 4 } \\ { x + y \geq 24 } \\ { x \leq 2 y + 12 } \end{array} \right.$$

Complete each equation.

$$\frac { 1 } { 2 } y d = ? \ ft$$

A(n) __________ expression has a value of either true or false. a. binary b. decision c. unconditional d. Boolean

From past experience, a professor knows that the test score of a student taking her final examination is a random variable with mean 75. (a) Give an upper bound for the probability that a student’s test score will exceed 85. Suppose, in addition, that the professor knows that the variance of a student’s test score is equal to 25. (b) What can be said about the probability that a student will score between 65 and 85? (c) How many students would have to take the examination to ensure, with probability at least .9, that the class average would be within 5 of 75? Do not use the central limit theorem.

Use appropriate substitutions to write down the Maclaurin series for the given binomial. $(1-x)^{1.01}$

Starch easily dissolves in water. Cellulose does not. Both substances, however, consist of chains of glucose molecules. What structural difference between starch and cellulose might account for their different behavior in water?

Divers working in underwater chambers at great depths must deal with the danger of nitrogen narcosis (the "bends"), in which nitrogen dissolves into the blood at toxic levels. One way to avoid this danger is for divers to breathe a mixture containing only helium and oxygen. Helium, however, has the effect of giving the voice a high-pitched quality, like that of Donald Duck's voice. To see why this occurs, assume for simplicity that the voice is generated by the vocal cords vibrating above a gasfilled cylindrical tube that is open only at one end. The quality of the voice depends on the harmonic frequencies generated by the tube; larger frequencies lead to higher-pitched voices. Consider two such tubes at

$$20 ^ { \circ } \mathrm { C }$$

One is filled with air, in which the speed of sound is 343 m/s. The other is filled with helium, in which the speed of sound is

$$1.00 \times 10 ^ { 3 } \mathrm { m } / \mathrm { s }$$

To see the effect of helium on voice quality, calculate the ratio of the

$$n^{th}$$

natural frequency of the helium-filled tube to the

$$n^{th}$$

natural frequency of the air-filled tube.

Simplify. Assume that variable exponents represent positive integers.

$$x ^ { 2 } \left( x - 2 x ^ { 2 } + 3 x ^ { 3 } \right)$$

If the expression on the left side of the and operator is false, the expression on the right side will not be checked. This is called as __________. a. relational operator b. logical operator c. long-circuit evaluation d. short-circuit evaluation

Boolean variables are commonly used as ___________ and if it is set to ___________, it indicates the condition does not exist. a. signals, False b. signals, True c. flags, False d. flags, True

The exercise gives equation for hyperbola. Put the equation in standard form and find the hyperbola’s asymptotes. Then sketch the hyperbola. Include the asymptotes and foci in your sketch.

$$8 y ^ { 2 } - 2 x ^ { 2 } = 16$$

What has happened to cause the speaker's "blazing heart"? A. The speaker has been insulted. B. The speaker has lost an argument. C. The speaker has been jilted. D. We never find out.

If y = -5 when x = -2, what is y when x = 14? Suppose y varies directly as x. Write a direct variation equation that relates x and y. Then solve.