A water tank in the shape of an inverted cone has height 11 feet and radius 5.0 feet. Find the volume of the water in the tank when the water is 6 feet deep.

Solve the problem.

A water tank in the shape of an inverted cone has height 6 feet and radius 2 feet. If the water level in the tank is 3.5 feet, calculate the volume of the water.

The four lines observed in the visible emission spectrum of hydrogen tell us that:

a) We could observe more lines if we had a stronger prism.

b) The spectrum is continuous.

c) The hydrogen molecules they came from have the formula H$_4$

d) Only certain energies are allowed for the electron in a hydrogen atom.

e) There are four electrons in an excited hydrogen atom.

What are the Wavelengths of the lines in the Hydrogen Emission Spectrum?

Calculate the energy of an electron in the hydrogen atom when n = 2 and when n = 6. Calculate the wavelength of the radiation released when an electron moves from n = 6 to n = 2.

Use the intersection-of-graphs method to approximate each solution to the nearest hundredth.

$$2 \pi x+\sqrt[3]{4}=0.5 \pi x-\sqrt{28}$$

Using the variable x, write each interval using set-builder notation.

$$(-\infty,-1]$$

On a particular day, the linear function defined by

$$f(x)=-3.52 x+58.6$$

approximates the temperature in degrees Fahrenheit above the surface of Earth, where x is in thousands of feet and y is the temperature. (Source: Schwartz, Richard H., Mathematics and Global Survival, Ginn Press.)

(a) When the height is 5000 feet, what is the temperature? Solve analytically.

(b) When the temperature is $-15^{\circ} \mathrm{F}$, what is the height? Solve analytically.

(c) Explain how the answers in parts (a) and (b) can be supported graphically.

Find the equation of the line satisfying the given conditions, giving it in slope-intercept form if possible.

Through $(3,-2)$, parallel to $2 x-y=5$

Consider the following problem.

One number is 3 less than 6 times a second number. Their sum is 46. Find the numbers.

If x represents the second number, which equation is correct for solving this problem?

A. $46-(x+3)=6x$

B. $(3-6x)+x=46$

C. $46-(3-6x)=x$

D. $(6x-3)+x=46$

Work Exercise given below mentally. Do not use a calculator.

Sale Price Suppose that a computer that originally sold for x dollars has been discounted 30%. Which one of the following expressions does not represent the sale price of the computer?

A. $x-0.30x \quad$ B. $0.70 x \quad$ C. $\frac{7}{10} x \quad$ D. $x-0.30$

Solve the formula for approximate annual interest rate for the variable indicaled.

$A=\frac{24 f}{B(p+1)}$ for B

The hypotenuse of a right triangle measures 61 inches, and one of its legs measures 11 inches. Find the length of the other leg.

Give the values of Xmin, Xmax, Ymin, and Ymax for each screen, given the values for Xscl and Yscl. Use the notation described in this section.

Xscl = 50, Yscl = 10