Use the following key term in a sentence that shows the term's meaning. You may use two terms in one sentence. timber line

Find the coefficient of the term when the expression is expanded.

$$a^2x^3; (a+ax+x)(a+x)^4$$

Factor the perfect squares. $x^{2}+2 x+1$

The table below shows the amount of time a collection of families spend preparing homemade meals each week, and the amount of money they spend each week on fast food.

$$\begin{matrix} \text{Time on homemade meals x (hours)} & \text{3.3} & \text{6.0} & \text{4.0} & \text{8.5} & \text{7.2} & \text{2.5} & \text{9.1} & \text{6.9} & \text{3.8} & \text{7.7}\\ \text{Money on fast food y (\$)} & \text{85} & \text{0} & \text{60} & \text{0} & \text{27} & \text{100} & \text{15} & \text{40} & \text{59} & \text{29}\\ \end{matrix}$$

Use technology to find the equation of the least squares regression line.

In a survey conducted by Opinion Research Corporation, 1000 adults were asked to identify "what is inappropriate in the workplace." Of the 1000 subjects, 70% said that mini ski rts were not appropriate in the workplace. Among the 1000 respondents, 550 said that shorts are unacceptab le in the workplace. What percentage of respondents said that shorts are unacceptable in the workplace?

Elements in the same family exhibit similar properties, often to varying degrees. Refer to each of the following families to support the claim that, as far as physical and chemical properties go, "it's all about the electrons." (a) the alkali metals (b) the halogens (c) the noble gases

a. What is sensory adaptation? b. What is the difference between sensation and perception? c. Why might signal-detection theory not apply to a person with autism?

Establish each identity. $\frac{\tan \theta-\cot \theta}{\tan \theta+\cot \theta}=1-2 \cos ^{2} \theta$

How would you say 'director' in Spanish?

A silver futures contract requires the seller to deliver 5,000 Troy ounces of silver. Jerry Harris sells one July silver futures contract at a price of $28 per ounce, posting a$6,000 initial margin. If the required maintenance margin is $2,500, what is the first price per ounce at which Harris would receive a maintenance margin call?

Determine the degree of unsaturation for a hydrocarbon with a molecular formula of

$$C_{10}H_{16}.$$

A weather balloon is inflated to a volume of 28.5 L at a pressure of 748 mm Hg and a temperature of 28.0$^{\circ} \mathrm{C}$. The balloon rises in th e atmosph ere to an altitud e of approximately 25,000 ft, where the pressure is 385 mm Hg and the temperature is - 15.0$^{\circ} \mathrm{C}$. Assuming the balloon can freely expand , calculate the volume of the balloon at this altitude.

Write as a single logarithm or as an integer: log 4 - 1

If a sector has radius 2x cm and arc length x cm, show that its area is $x^{2} \mathrm{cm}^{2}$.