A baseball has an approximate mass of $0.15 \mathrm{~kg}$. If a bat strikes the baseball with a force of $6 \mathrm{~N}$, what is the acceleration of the ball?

A $4 \mathrm{~m} / \mathrm{s}^2$

B $6 \mathrm{~m} / \mathrm{s}^2$

C $40 \mathrm{~m} / \mathrm{s}^2$

D $60 \mathrm{~m} / \mathrm{s}^2$

Consider the following descriptions of the vertical motion of an object subject only to the acceleration due to gravity. Begin with the acceleration equation a(t)=v'(t)=g, where g=-9.8 m/

$$s^2$$

. Find the time when the object strikes the ground. A softball is popped up vertically (from the ground) with a velocity of 30 m/s.

a. Create a scatter plot for the data in each table. b. Use the shape of the scatter plot to determine if the data are best modeled by a linear function, an exponential function, a logarithmic function, or a quadratic function.

$$\begin{matrix} \text{Age} & \text{Fatal Crashes per 100 Million Miles Driven}\\ \text{20} & \text{6.2}\\ \text{25} & \text{4.1}\\ \text{35} & \text{2.8}\\ \text{45} & \text{2.4}\\ \text{55} & \text{3.0}\\ \text{65} & \text{3.8}\\ \text{75} & \text{8.0}\\ \end{matrix}$$

The average height of American women aged $18-24$ is normally distributed with mean $\mu=65.5$ inches and $\sigma=2.5$ inches. What is the probability a woman is between $5^{\prime} 1^{\prime \prime}$ and $5^{\prime} 4^{\prime \prime}$ tall?

Let p be a prime number, and let $K=\mathrm{GF}(p)$. Show that in the field $K(x)$ of rational functions over K, the element $x$ has no $p$ th root.

In the given diagram if triangle ABC and triangle EDC are similar, what is the value of x ?

In an experiment to study an oral rinse designed to prevent plaque buildup, subjects were divided into two groups: One group used a rinse with an antiplaque ingredient, and the control group used a rinse containing inactive ingredients. Suppose that the plaque growth on each person's teeth was measured after using the rinse after 4 hours and then again after 8 hours. If you wish to estimate the difference in plaque growth from 4 to 8 hours, should you use a confidence interval based on a paired or an unpaired analysis? Explain.

In this exercise,

a. Rewrite the equation in a rotated $x^{\prime}y^{\prime}$-system without an $x^{\prime}y^{\prime}$-term.

b. Express the equation involving $x^{\prime}$ and $y^{\prime}$ in the standard form of a conic section.

c. Use the rotated system to graph the equation.

$$x^2+xy+y^2-1=0$$

Why is it necessary to concentrate ore before it is chemically processed?

24 is what percent of 75 ?

Subtract $\left(67^{\circ} 22^{\prime}\right)-\left(34^{\circ} 30^{\prime}\right)$.

a. $32^{\circ} 02^{\prime}$

b. $33^{\circ} 02^{\prime}$

c. $33^{\circ} 08^{\prime}$

d. $32^{\circ} 52^{\prime}$

Two smooth billiard balls A and B each have a mass of 200 g. If A strikes B with a velocity $(v_A)_1 = 1.5 m/s$ as shown, determine their final velocities just after collision. Ball B is originally at rest and the coefficient of restitution is e = 0.85. Neglect the size of each ball.

Depolarization, the process by which muscle fibers are stimulated to contract, occurs when:

How to rewrite absolute value as a piecewise function?