If

$$\overrightarrow{\mathrm{AB}}=\left( \begin{array}{c}{-1} \\ {3} \\ {2}\end{array}\right), \overrightarrow{\mathrm{AC}}=\left( \begin{array}{c}{2} \\ {-1} \\ {4}\end{array}\right) \quad \text { and } \quad \overrightarrow{\mathrm{BD}}=\left( \begin{array}{c}{0} \\ {2} \\ {-3}\end{array}\right)$$

find: a. $\overrightarrow{\mathrm{AD}}$ b. $\overrightarrow{\mathrm{CB}}$ c. $\overrightarrow{\mathrm{CD}}$

A stemplot of the cookies summarized below is created, and the first row of that stemplot is l I 99. Identify the values represented by that row of the stemplot.

$$\begin{matrix} \text{Chocolate Chips} & \text{Frequency}\\ \text{18-20} & \text{6}\\ \text{21-23} & \text{11}\\ \text{24-26} & \text{18}\\ \text{27-29} & \text{4}\\ \text{30-32} & \text{1}\\ \end{matrix}$$

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. $\left(\dfrac{4}{3}\right)^{4}\left(\dfrac{15}{2}\right)^{4}$

Sandy charges each family that she babysits a flat fee of $10 for the night and an extra$5 per child. Kimmi charges $25 per night, no matter how many children a family has. a. Write a two-step equation that would compare what the two girls charge and find when their fees are the same. b. How many children must a family have for Sandy and Kimmi to charge the same amount? c. The Sanderson family has five children. Which babysitter should they choose if they wish to save some money on babysitting, and why?

Divide.

$$8 \frac { 1 } { 3 } \div 4 \frac { 2 } { 7 }$$

Evaluate the line integral $\int_{C} f d s$. f(x, y)=3x, C is the line segment from (0, 0) to (1, 0), followed by quarter-circle to (0, 1)

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.