Major home appliances purchased in the United States are now labeled with bright yellow "Energy Guide" tags showing anticipated energy consumption. The tag on a recently purchased washing machine indicated the anticipated energy use would be $940 \mathrm{~kW}$-h per year. Calculate the anticipated annual energy use in kilojoules. (See Question 8 for a definition of a kilowatt-hour.) At 8 cents/ kW-hr, how much would it cost per month to operate this machine?

Identify each number as real, complex, pure imaginary, or nonreal complex. (More than one of these descriptions will apply.) -4

The wattage of an appliance indicates the average power consumption in watts $(W)$, where $1 \mathrm{~W}=1 \mathrm{~J} / \mathrm{s}$. What is the difference in the number of $\mathrm{kJ}$ of energy consumed per month between a refrigeration unit that consumes $625 \mathrm{~W}$ and one that consumes $855 \mathrm{~W}$ ? If electricity costs $\$ 0.15$ per $\mathrm{kWh}$, what is the monthly cost difference to operate the two refrigerators? (Assume $30.0$ days in one month and $24.0$ hours per day.)

Write an algebraic expression for each verbal expression.

$k$ squared minus 11

Find the molar solubility of SrCO3 (Ksp = 5.4 $\times$ 10 - 10) in pure water

Use Stokes’ Theorem to evaluate

$$\mathbf{F}(x,y,z)=(x+y^2-2)\mathbf{i}+2xy\mathbf{j}+(x^2+yz^2)\mathbf{k};$$

S is the part of the paraboloid z = 4 - x squared - y squared above the xy-plane with an outward normal

Look at the following statement:
numbers = [10, 20, 30, 40, 50]
a. How many elements does the list have?
b. What is the index of the first element in the list?
c. What is the index of the last element in the list?

Bird Migration Power P is the rate at which energy E is consumed per unit time. Ornithologists have found that the power consumed by a certain pigeon flying at velocity $v \mathrm{~m} / \mathrm{s}$ is described well by the function $P(v)=17 v^{-1}+10^{-3} v^3 \mathrm{~J} / \mathrm{s}$. Assume that the pigeon can store $5 \times 10^4 \mathrm{~J}$ of usable energy as body fat. (a) Find the velocity $v_{\text {pmin }}$ that minimizes power consumption.

Complete the square for this expression. Write the resulting expression as a binomial squared.

$$x^2-x+ \square$$

Differentiate between the three types of muscle.

When a 0.80-kg crown is submerged in water, its apparent weight is measured to be 7.3 N. Is the crown pure gold?

What is the product of two squared and two to the sixth power? express using exponents.

What is the chance that the next person I meet will be different from me? The diversity index, from 0 (no diversity) to 100, measures the chance that two randomly selected people are of a different race or ethnicity. The diversity index in the United States varies widely from region to region, from as high as 81 in Hawaii to as low as 11 in Vermont. The bar graph at the top of the next column shows the national diversity index for the United States for four years the period from 1980 through 2010.

The data in the graph can be modeled by the formula

$$D=0.7 x+34 \text {, }$$

where $D$ is the national diversity index for the United States $x$ years after 1980.

How well does the formula model the national diversity index for 2010?

You have a 1-m-wide, 2-m-long 14-kg wooden board. If you place a 5.0-kg pot of soup in one corner of the board, where is the center of mass of the board-pot system?