Write the rational number as a decimal. Then tell whether the decimal is a terminating or a repeating decimal: 12/1000.

Identify which of the following chemical formulas represent pure elements:

$$H_2, H_2O, He, Na, NaCl, Au, U.$$

How a muscle attaches to a bone?

Which end of the muscle typically moves?

Compare the root-mean-square speed of helium atoms near the surface of the sun, where the temperature is approximately 6000 K, with that of helium atoms in an interstellar cloud, where the temperature is 100 K.

A study of commuting times reports the travel times to work of a random sample of 20 employed adults in New York State. The mean is $\bar{x}=31.25$ minutes, and the standard deviation is $s_{x}=21.88$ minutes. What is the standard error of the mean? Interpret this value in context.

Water permeability of concrete can be measured by letting water flow across the surface and determining the amount lost (in inches per hour). Suppose that the permeability index x for a randomly selected concrete specimen of a particular type is normally distributed with mean value 1000 and standard deviation 150. a. How likely is it that a single randomly selected specimen will have a permeability index between 850 and 1300? b. If the permeability index is to be determined for each specimen in a random sample of size 10, how likely is it that the sample mean permeability index will be between 950 and 1100? between 850 and 1300?

Is the cube made of pure aluminum? Explain your answer. Mass = 20 g. Volume = $5 cm^3$

You are given the sample mean and the sample standard deviation. Assume the population is normally distributed and use the t-distribution to find the margin of error anti construct a 95% confidence interval for the population mean. Interpret the results. In a random sample of 12 mobile devices the mean repair cost was $90.42 and the standard deviation was$33.61.

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.

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

$$\pi$$

Consider the data set 7, 9, 14, 15, 22. The standard error of the sample mean is: A. 2.53 B. 2.56 C. 2.59 D. 2.62 E. 2.65

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

The amount of household energy consumption for space heating is sometimes measured by so-called heating degree days (hdd), which are defined as $65-T_{\text {ave }}$, where $T_{\text {ave }}$ is the average of the high and low daily temperatures, in ${ }^{\circ} \mathrm{F}$.

Suppose the number of hdd in Bangor, Maine, on day $t$ of a particular year is modeled by the function

$$H(t)=25+22 \cos \left[\frac{2 \pi}{365}(t-35)\right]$$

for $0 \leq t \leq 365$, where $t=0$ corresponds to the beginning of the day on January 1 .

a. On what day of the year does this model predict the maximum number of hdd in Bangor will be experienced? What is this maximum number?

b. Answer the questions in part (a) for the minimum number of hdd.

c. At what rate is the energy consumption function $H(t)$ changing on January 1 ? Is $H(t)$ increasing or decreasing at this time? Repeat for April 1 $(t=91)$ and June $1(t=152)$.

d. Sketch the graph of $H(t)$ over the entire year.

e. What is the average hdd over the first 90 days of the year (January through March)? This provides a measure of the average daily energy consumption of a household in Bangor during the first quarter of the year.

a. On what day of the year does this model predict the maximum number of hdd in Bangor will be experienced? What is this maximum number?