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?

Infection that weakens the heart muscle is called _______.

A sample of 250 observations is selected from a normal population for which the population standard deviation is known to be 25. The sample mean is 20. a. Determine the standard error of the mean. b. Explain why we can use formula to determine the 95 percent confidence interval. c. Determine the 95 percent confidence interval for the population mean

Use a graphing utility to approximate (rounded to two decimal places) the local maximum value and local minimum value of $f(x)=x^{3}-2 x^{2}-4 x+5,$ for -3 < x < 3.

Which end of the muscle typically moves?

Realtors use an index to compare housing prices in major cities. The housing price index values for several cities are given in the table below. Use the following formula to answer the question.

$$\underset{\text { (other town) }}{\text { price }}=\underset{\text { (your town) }}{\text { price }} \times \frac{\text { index of other town }}{\text { index in your town }}$$

$$\begin{array}{lc|lc} \text { City } & \text { Index } & \text { City } & \text { Index } \\ \hline \text { Atlanta } & 100 & \text { Las Vegas } & 115 \\ \text { Boston } & 146 & \text { Los Angeles } & 190 \\ \text { Chicago } & 105 & \text { Miami } & 161 \\ \text { Dallas } & 121 & \text { Phoenix } & 122 \\ \text { Denver } & 136 & \text { San Franciscol } & 172 \end{array}$$

For a house valued at $\$ 600,000$ in Boston, find out the price of a comparable house in Los Angeles.

Evaluate each expression. a. 2^4 b. 5^3 c. 8.3^2 d. 1^9 e. 13^1 f. 56.8^0 g. 10^5 h. 100^2 i. 0^12 j. eleven squared k. one and three-tenths cubed l. seven squared times two cubed m. three to the fifth power n. four squared cubed

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

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

One industrial process has an energy consumption of $18.5 \mathrm{kWh} / \mathrm{kg}$ of $\mathrm{Mg}$. How many joules are required per mole $(1 \mathrm{kWh}=1$ kilowatt-hour $=$ $\left.3.6 \times 10^6 \mathrm{~J}\right)$? How does this energy compare with the energy of the following process?

$$\begin{align*} \mathrm{MgCl}_2(\mathrm{~s}) \rightarrow \mathrm{Mg}(\mathrm{s})+\mathrm{Cl}_2(\mathrm{~g}) \end{align*}$$

Suppose that queue is an object of type queueType of size 50, queue contains 20 elements, and the index of the first element of queue is 35.

• After removing the next element from queue, what is the index of the first element?

How is economic growth measured? Why is economic growth important? Why could the difference between a $2.5$ percent and a $3$ percent annual growth rate be of great significance over several decades?

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?

If you left a board lying on the grass for a few days, what would happen to the grass underneath the board? Why?