Find the distance from the

(b). origin to the plane $2=z-x$.

Determine whether the statement is true or false. Use the following sets of numbers.

$N=$ set of natural numbers.

$Z=$ set of integers

$I=$ set of irrational numbers

$Q=$ set of rational numbers

$\mathbb{R}=$ set of real number

$$-1 \in Z$$

Riley and Rhoda plan to buy several bags of dog food and a dog collar. Each bags of dog food costs $7, and the dog collar costs$5. a. Use the information above to write an expression for the amount of money they will spend if they buy b bags of food. b. Riley and Rhoda have $30. Use this information and the expression you wrote for Part (a) to write an inequality for finding the number of bags of food they could buy. c. Solve the inequality and graph the solutions. Check your answer in the original situation.

Write the correct word in the space next to each definition.

random $\rule{2cm}{0.15mm}$

An RC series circuit consists of an AC source, a $33.0 - \mu \text F$ capacitor, and a 30.0-$\Omega$ resistor. If the source emf is given by $\varepsilon = \varepsilon_ { max } \sin ( \omega t )$, where $E _ { \max } = 180.0 \mathrm { V }$ and $\omega = 20.0 \mathrm { s } ^ { - 1 }$, what is the current amplitude?

Write each set in roster form and in set-builder notation. P is the set of natural numbers that are factors of 25.

Enzymes that are only produced when a substrate is present are termed _____.

Write a program that prompts the user to enter the center of a rectangle, width, and height, and displays the rectangle.

Let X={a, b, c}. Define a function S from $\mathcal{P}$(X) to the set of bit strings of length 3 as follows. Let Y$\subseteq$X. If a$\in$Y, set $s_1=0$; If a$\notin$Y, set $s_1=1$; If b$\in$Y, set $s_2=0$; If b$\notin$Y, set $s_2=1$; If c$\in$Y, set $s_3=0$; If c$\in$Y, set $s_3=1$. Define S(Y)=$s_1s_2s_3$.

Prove that S is onto.

Is the elastic limit a limiting force or a limiting distance?

The distance from the surface of a lens to the focal point is the

the distance east or west from the prime meridian

Phoenix Industries has pulled off a miraculous recovery. Four years ago it was near bankruptcy. Today, it announced a $1 per share dividend to be paid a year from now, the first dividend since the crisis. Analysts expect dividends to increase by$1 a year for another 2 years. After the third year (in which dividends to increase by $1 a year for another 2 years. After the third year (in which dividends are$3 per share) dividend growth is expected to settle down to a more moderate long-term growth rate of 6%. If the firm's investors expect to earn a return of 14% on this stock, what must be its price?

Integrative: Determining relevant cash flows Lombard Company is contemplating the purchase of a new high-speed widget grinder to replace the existing grinder. The existing grinder was purchased 2 years ago at an installed cost of $60,000; it was being depreciated under MACRS using a 5 -year recovery period. The existing grinder is expected to have a usable life of 5 more years. The new grinder costs$ 105,000 and requires $5,000 in installation costs; it has a 5-year usable life and would be depreciated under MACRS using a 5 -year recovery period. Lombard can currently sell the existing grinder for$ 70,000 without incurring any removal or cleanup costs. To support the increased business resulting from purchase of the new grinder, accounts receivable would increase by $40,000, inventories by$ 30,000, and accounts payable by $58,000. At the end of 5 years, the existing grinder would have a market value of zero; the new grinder would be sold to net$ 29,000 after removal and cleanup costs and before taxes. The firm is subject to a 40% tax rate. The estimated earnings before depreciation, interest, and taxes over the 5 years for both the new and the existing grinder are shown in the following table.

b. Determine the incremental operating cash flows associated with the proposed grinder replacement. (Note: Be sure to consider the depreciation in year 6.)