Ali has 2 vegetable pizzas that she cuts into eighths. How many

$$\frac{1}{8}$$

size pieces does she have?

What is meant when it is said we both need and fear the world Thoreau creates?

Solve each system.

$$\left. \begin{array} { l } { y = x ^ { 2 } + 2 x - 2 } \\ { y = x + 10 } \end{array} \right.$$

Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is inconclusive.

$$\sum _ { n = 1 } ^ { \infty } \frac { n ^ { 4 } } { n ! }$$

A boat is traveling upstream in the positive direction of an x axis at 14 km/h with respect to the water of a river. The water is flowing at 9.0 km/h with respect to the ground. What are the (a) magnitude and (b) direction of the boat’s velocity with respect to the ground? A child on the boat walks from front to rear at 6.0 km/h with respect to the boat. What are the (c) magnitude and (d) direction of the child’s velocity with respect to the ground?

State the slope and y-intercept of each line. a.

$$y = \frac { 5 } { 3 } x - 4$$

, b.

$$y = - \frac { 4 } { 7 } x + 3$$

, c. y=-5

If the minuend is 27 and the difference is 9, what is the subtrahend?

What chemical laws can be explained by Dalton’s theory?

Suppose that C is a smooth curve and that

$$x ^ { 2 } + y ^ { 2 } = 4$$

is the osculating circle to C at P

$$( 1 , \sqrt { 3 } )$$

. Then the curvature of C and P is ___.

Give an objective summary of the text derived from the central idea of the article and its development.

What symptoms may appear in a newborn if its ductus arteriosus fails to close?

a. What is the slope of a line that is parallel to the line represented by y = 8x - 10? b. What is the slope of a line that is perpendicular to the line represented by

$$y = \frac { 3 } { 4 } x - 6 ?$$

?

sketch the graph of the function by applying the Leading Coefficient Test. g(x) = 1/10 (x + 1)^2(x - 3)^3

A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are supposed to contain 300 milliliters (ml). In fact, the contents vary according to a Normal distribution with mean

$$\mu = 298 ml$$

and standard deviation

$$\sigma = 3 ml.$$

What is the probability that a randomly selected bottle contains less than 295 ml? Show your work.