How has technology made a difference for businesses and their workers?

Suppose you know that a(b + c) = ab + ac is true for all real numbers a, b, and c. Use the properties of real numbers to prove that (b + c)a = ba + ca is true for all real numbers a, b, and c.

How did Romans use technology to improve life in the empire?

Which of the following is not a component of hemostasis? a. platelet plug formation b. agglutination c. clot retraction d. vascular spasm e. degranulation

The stockholders' equity of Palepu Company at December 31. 2018. appears below.

During 2019. the following transactions occurred:

May 12 Declared and issued a 7% stock dividend; the common stock market value was $18 per share.

Dec. 31 Declared and paid a cash dividend of 75 cents per share.

Using the financial statement effects template, illustrate the effects of these transactions.

Ethane $(C_2H_6)$ gas at $77^\circ F,$ 1 atm enters a well-insulated reactor operating at steady state and burns completely with air entering at $240^\circ F,$ 1 atm. Determine the temperature of the products, in $^\circ F.$ Neglect kinetic and potential energy effects.

A neutral solid metal sphere of radius 0.1 m is at the origin, polarized by a point charge of $6 \times 10^{-8}\ \mathrm{C}$ at location $\langle- 0.3,0,0\rangle\ \mathrm{m} .$ At location $\langle 0,0.07,0\rangle\ \mathrm{m},$ what is the electric field contributed by the polarization charges on the surface of the metal sphere? How do you know?

Identify given sentence as declarative, imperative, interrogative, or exclamatory.

They call it bossy in a bowl.

Describe elevator trips in parallel shafts. Assume that the passenger and freight elevators move at steady speeds and can start and stop instantly. The trips are nonstop unless otherwise indicated. Both elevators start at the same time. A notation like (4, 600) means that 4 minutes into a trip, the elevator is 600 feet above the bottom of the elevator shaft. Rough sketches on a coordinate system may be helpful.

In the Ellis Building,

Passenger: Starts 400 ft up, travels to (2, 40)

Freight: (0.5, 100) to (3, 250)

a. When, if ever, are the two elevators at the same height during this trip? What height is that?

b. How fast does each elevator travel?

Use Newton’s method to find the positive fourth root of 2 by solving the equation $x^{4}-2=0.$ Start with $x_{0}=1$ and find $x_{2}.$

Use integration by parts to find $\int \csc ^{3} x d x$. (Hint: Start with $\int \csc ^{3} x d x=\int \csc x \cdot \csc ^{2} x d x$.)

For this item, describe the following sequence using either a mathematical operation or a verbal description, indicate if the sequence is increasing or decreasing or neither, and list the next two terms.

$$|-3+(-2)|,|-3+0|,|-3+2|,|-3+4|, \ldots$$

Use mathematical induction to prove that the statement is true for the positive integer $n$.

$1 \cdot 3+2 \cdot 4+3 \cdot 5+\cdots+n(n+2)=$ $\frac{n}{6}(n+1)(2 n+7)$

Use graphing technology to graph the equation given below.

$$z=-\frac{4.85}{m}$$