Express the complex number $\space \sqrt{3}-3i\space$, in the polar form.

For each definition below, choose the key term that best matches the definition. a. the smoke inhaled and exhaled by the smoker b. a gas that blocks oxygen from entering the bloodstream c. a lung disease in which the alveoli lose their elasticity or become blocked d. any chemical or agent that causes cancer e. a sticky substance in tobacco smoke that coats the inside of the airway and contains many carcinogens f. the addictive drug found in tobacco. carbon monoxide, carcinogen, emphysema, environmental tobacco smoke (secondhand smoke), mainstream smoke, nicotine, nicotine substitutes, sidestream smoke, tar.

How is a map a model of Earth?

Express the complex number $\space -5+12i\space$, in the polar form, using a calculator.

Congress is made up of the House of Representatives and the Senate. Members of the House of Representatives serve two-year terms and represent a district in a state. The number of representatives for each state is determined by population. States with larger populations have more representatives than states with smaller populations. The total number of representatives is set by law at 435. Members of the Senate serve six-year terms and represent a state. Each state has 2 senators, for a total of 100 senators. The tables show the makeup of the 115th Congress by gender and political party as of January 3, 2017. House of Representatives. Political party

$$\begin{matrix} \text{ } & \text{Republican} & \text{Democrat} & \text{Independent} & \text{Total}\\ \text{Male} & \text{218} & \text{129} & \text{0} & \text{347}\\ \text{Female} & \text{23} & \text{65} & \text{0} & \text{88}\\ \text{Total} & \text{241} & \text{194} & \text{0} & \text{435}\\ \end{matrix}$$

Senate

$$\begin{matrix} \text{ } & \text{Republican} & \text{Democrat} & \text{Independent} & \text{Total}\\ \text{Male} & \text{47} & \text{30} & \text{2} & \text{79}\\ \text{Female} & \text{5} & \text{16} & \text{0} & \text{21}\\ \text{Total} & \text{52} & \text{46} & \text{2} & \text{100}\\ \end{matrix}$$

Among members of the Senate, are the events "being female" and "being an Independent" mutually exclusive? Explain.

The mammal that gave rise to the first primates resembled a modern-day a. ape. b. shrew. c. baboon. d. monkey.

At several times during the school year, Emilio collected data on the height of a plant in the classroom and the total number of quizzes he had taken so far in his science class. The data are shown below.

$$\begin{matrix} \text{Height of Plant (cm)} & \text{16} & \text{19} & \text{22} & \text{26}\\ \text{Total Number of Quizzes} & \text{4} & \text{6} & \text{7} & \text{9}\\ \end{matrix}$$

a. Is there a correlation between the variables? Explain. b. Is there causation between the variables? Explain.

Prove: If m vectors span an m-dimensional space, they form a basis of the space.

Explain how natural selection might have produced the modern giraffe from short-necked ancestors.

Solve each problem.

Radon gas occurs naturally in homes and is produced when uranium radioactively decays into lead. Exposure to radon gas is a known lung cancer risk. According to the Environmental Protection Agency (EPA) the individual lifetime excess cancer risk $R$ for radon exposure is between

$$1.5 \times 10^{-3} \text { and } 6.0 \times 10^{-3},$$

where $R=.01$ represents a $1 \%$ increase in risk of developing lung cancer.

Calculate the range of individual annual risk by dividing $R$ by an average life expectancy of $72 \mathrm{~yr}$.

For a science project, Noah measured the effect of light on plant growth. At the end of 3 weeks, he recorded the height of each plant and how many hours of light it received each day.

a. Find the equation for the best-fit line for the data. b. Graph and analyze the residual plot.

Match each term on the left with a definition on the right.

$$\begin{matrix} \text{metric system of measurement} & \text{A. a mathematical phrase that contains operations, numbers, and/or variables}\\ \quad & \text{B. the measurement system often used in the United States}\\\quad & \text{C. one of the numbers of an ordered pair that locates a point on a coordinate graph}\\ \quad & \text{D. a list of rules for evaluating expressions}\\ \quad & \text{E. a decimal system of weights and measures that is used universally in science and commonly throughout the world}\\ \end{matrix}$$

Does this present problems for modern economies today where the majority of the workforce work in service sector jobs?

If $S$ is a nonempty subset of a vector space $X,$ prove that the span of $S$ is a vector space.