Use the rule from Exercise 4 to simplify each expression. a. $5^{3}2^{3}$
b. $4^{6}25^{6}$
c. $9^{10}\left(\dfrac{1}{9}\right)^{10}$
d. $20^{4}\left(\dfrac{1}{10}\right)^{4}$
e. $20^{4}5^{4}$
f. $\left(\dfrac{4}{3}\right)^{4}\left(\dfrac{15}{2}\right)^{4}$

On January 1, 2016, the Shagri Company began construction on a new manufacturing facility for its own use. The building was completed in 2017. The only interest-bearing debt the company had outstanding during 2016 was long-term bonds with a book value of $10,000,000 and an effective interest rate of 8%. Construction expenditures incurred during 2016 were as follows: January 1$500,000 March 1 600,000 July 31 480,000 September 30 600,000 December 31 300,000. Required: Calculate the amount of interest capitalized for 2016.

__________ in the stomach are responsible for the mechanical digestion that takes place there.

Compute the Simpson’s Rule approximations with n=4 by hand. $\int_{0}^{2} e^{-x^{2} / 4} d x$

Find the points of intersection (if any) of the given pair of curves and draw the graphs. y = 3x + 8 and y = 3x - 2

Use a truth table to determine whether the two statements are equivalent. (p∨q)∧r, p∨(q∧r)

Solve each inequality and graph the solutions. $|x|+17>20$ _____.

A country’s ? is the average number of children born during each woman’s lifetime.

Imagine that you are a restaurant manager interviewing potential employees for these service positions: server, cashier, busser, and host. Choose one of these positions and make a list of five to ten questions that you would ask potential employees during the interview.

Choose the letter of the best answer. A metamorphic rock in which the grains line up in parallel bands is a a. clastic rock. b. nonclastic rock. c. nonfoliated rock. d. foliated rock.

Give the oxidation state of sulfur in

S8

Identify the transformation from the parent function $f(x)=\sqrt{x} \text { to } g.$ $g(x)=\sqrt{x+21}$

The formula

$$s = \frac { 1,600 } { d ^ { 2 } }$$

gives the strength s of a radio signal at a distance d miles from the transmitter. What is the strength at 5 mi? Write your answer in simplest form.

Evaluate each expression. Give exact values. $\tan ^{2} 120^{\circ}-2 \cot 240^{\circ}$