Brad grew $4 \frac{1}{4}$ inches this year and is now $56 \frac{7}{8}$ inches tall. Give and solve an equation to determine Brad's height at the start of the year. Show that your answer is reasonable.

If a solution contains $255 \mathrm{~mL}$ of ethanol and $375 \mathrm{~mL}$ of water, what is the percent ethanol in the solution?

As you move from East Texas to West Texas, describe the effects of changing elevation on climate.

Using a recursive technique, print out the numbers starting with an input value of Start and ending value of End, then going backward to the starting number.

Jeremy had an idea, "What if we start with the equation in standard form? I bet we can find a way to get the vertex so we don't have to solve the equation or change it to graphing form every time. Let's start with $y = a x ^ { 2 } + b x + c$ and find the x-intercepts for its graph." a. Solve the general quadratic equation to get the x-intercepts . b. How can you use the x-intercepts to find the line of symmetry? What is the line of symmetry? c. What is the vertex of the graph of $y = a x ^ { 2 } + b x + c ?$

$\overrightarrow{X Y}$ bisects $\angle W Y Z$. Given $m \angle W Y X=26^{\circ}$, find $\mathrm{m} \angle W Y Z$ .

Analyze the parts of the mathematical expressions in the worked example. Explain each response. a. Which expression, 5(x + 1) or 5x + 5, shows a product of two factors? b. How many terms are in 5x + 5? c. The number 5 is a coefficient in which expression?

Formulate Write a paragraph proof.
Given: $\angle J K L$ is a right angle. Prove: $\angle 1$ and $\angle 2$ are complementary angles.

We separate U-235 from U-238 by fluorinating a sample of uranium to form $UF_6$ (which is a gas) and then taking advan tage of the different rates of effusion and diffusion for compounds containing the two isotopes . Calculate the ratio of effusion rates for $^{238}UF_6$ and $^{235}UF_6$. The atomic mass of U-235 is 235.054 amu and that of U-238 is 238.051 amu .

What were the effects of the new Red Scare on federal employees?

Solve the linear inequality. Express the solution using interval notation and graph the solution set.

$2 x+1<0$

A substance decays at $4 \%$ per hour. Suppose we start with 100 grams of the substance. What is the half-life?

Write the interval notation for the interval of real numbers.

The real numbers greater than $2$

Evaluate the limit (limit as h approaches 0) of [(1+h)^3-1]/h