Ms. Augello is making tie dye shirts with her students. Each gallon of hot water needs

$$\frac{2}{3}$$

cup of tie dye. If Ms. Augello has

$$5\frac{1}{4}$$

cups of tie dye, how many batches of solution will she be able to make?

practicos

During spring training, the Detroit Tigers won about

$$\frac{2}{3}$$

of the games they played while the Cleveland Indians won

$$\frac{7}{15}$$

of the games they played. What fraction more of the games did Detroit win than Cleveland?

Consider the following vector fields, where $r=\langle x , y , z \rangle$.

Compute the curl of the field and verify that it has the same direction as the axis of rotation.

Evaluate the integral using FTC I.

$$\int _ { 2 } ^ { 3 } e ^ { 4 t - 3 } d t$$

Solve the equation. If necessary, round each answer to the nearest thousandth.

$$\log (4 p+1)+\log p=\log 3$$

What is there of special interest or significance in the setting of The Yellow Wallpaper by Charlotte Perkins Gilman?

A job shop manager wants to develop a simulation model to help schedule jobs through the shop. He has evaluated the completion times for all the different types of jobs. For one particular job, the times to completion can be represented by the following triangular distribution:

$$f(x)=\left\{\begin{array}{ll}{\frac{x}{8}-\frac{1}{4}} & {2 \leq x \leq 4} \\ {\frac{10}{24}-\frac{x}{24}} & {4 \leq x \leq 10}\end{array}\right.$$

Develop a process generator for this distribution using the inverse transformation method.

The three legs of a triangle have lengths 7 cm, 7 cm, and 12 cm. a. What are the measures of the angles? b. What is the area of the triangle?

Let

$$f(x)=\left\{\begin{aligned} 2-x^{2} & \text { for } x \leq 1 \\ x & \text { for } x>1 \end{aligned}\right.$$

a. Let g(x) = f(x) + 2. Sketch the graphs of y = f(x) and y = g(x) on the same axes. b. Write an equation for g(x).

Carlotta paddled a kayak from a dock and traveled 4 miles east. She then steered the kayak 80 degrees north of east and traveled another 2 miles before she anchored. What law do you need to use to find the distance? Explain your reasoning.

The vibrational frequency of $^{1}\mathrm{H}_{2}$ is 131.9 THz. What is the vibrational frequency of $^{2}\mathrm{H}_{3}$ and of $^{3} \mathrm{H}_{2}?$ Use integer relative atomic masses for this estimate.

Who is Mephistopheles from "Doctor Faustus" play? What does he represent?

Show that if $A^{2}=A$ then $A$ is similar to a diagonal matrix which has only 0 s and 1 's along the diagonal.