In many buildings, particularly outside of the United States, the ground floor of a building is labeled as G or Lobby. The first floor of the building is one floor above the ground floor. The building pictured has a lobby, 10 floors of offices, and 4 floors of garage below the lobby. a. Melanie has an office on the 9th floor and parks on the 3rd floor below the ground floor. Taylor and Cecelia are determining how many floors Melanie must go up from her car to reach her office. Taylor represents the 9th floor as 9 and the 3rd floor below ground as -3. Therefore, since 9 - 3 = 6, Melanie traveled 6 floors to get from her car to her office. Cecelia says that the ground floor to the 9 th floor is 9 floors, and from the ground floor to the 3 rd garage level is 3 floors. Melanie traveled |9| + |-3| = 9 + 3 = 12 floors. Who is correct? Explain your reasoning. b. Caleb parks his car on the 2 nd floor below ground and works on the 7th floor. How many floors must he go up from his car to reach his office? c. Lucinda is working on the 8th floor. At lunch, she goes to her car on the 4 th floor below ground, and then back up to the lobby. How many total floors does Lucinda travel? d. If Damon goes from his office on the 10th floor to a meeting on the 5th floor, how many floors does he travel and in which direction?

Calculate quotient. $7 \frac{1}{3} \div 1 \frac{2}{3}$

Refer to the n=5 data points $\left(x_{1}, y_{1}\right)=(0,4)$ $\left(x_{2}, y_{2}\right)=(1,5),\left(x_{3}, y_{3}\right)=(2,7),\left(x_{4}, y_{4}\right)=(3,9)$, and $\left(x_{5}, y_{5}\right)=(4,13)$. Calculate the indicated sum or product of sums. $\sum_{k=1}^{5} x_{k}^{2}$

Suppose your state legislature places a $1 tax on each pack of cigarettes sold. Use this information and your knowledge of elasticity of demand to answer. If the price of a pack of cigarettes rises by$1, and the quantity of cigarettes purchased by consumers decreases from 10,000 packs of cigarettes (for the whole population) a day to 9,950 packs of cigarettes then is the demand for cigarettes likely to be inelastic or elastic?

Identify the category into which the transaction should be placed by writing C, I, G, EX, or IM in the space provided. If the value of the good or service in the transaction is not included in GDP, indicate this by writing "not GDP" in the space. __________ The U.S. government spends $5 billion to improve highways.

Predict the geometry of each of the following phosphorus-containing species: (a) $\mathrm{POF}_{3}$ (b) POCl $\mathbf{P} \mathbf{H}_{2}^{-}$ (d) $P C l_{4}^{+}$

Indicate whether the equation has one solution, no solutions, or an infinite number of solutions and explain your reasoning. If the equation has one solution, determine the solution from the set of values given.

$$\scriptstyle\text { Set of values: }\{0,1,2,3,4,5,9,10,35,36,37,38,39,40,50,60,61,62,63,64,65,99,100\}$$

$$99=x-1$$

How do all the representations-tables, double number lines and graphs-show equivalent ratios? How are they similar? Describe some of the advantages of each representation.

Two rockets are launched at a fireworks display. Rocket A is launched with an initial velocity $v_0$ = 100 m/s and rocket B is launched $t_1$ seconds later with the same initial velocity. The two rockets are timed to explode simultaneously at a height of 300 m as A is falling and B is rising. Assuming a constant acceleration g = 9.81 $m/s^2$, determine (a) the time $t_1$, (b) the velocity of B relative to A at the time of the explosion.

Does $\log \left(\frac{a}{b}\right)=\frac{\log a}{\log b}$? If so, prove it. If not, explain why not. Use examples to support your answer.

Write two functions, f(x) and g(x), for which f(x) > g(x) on the interval $(-\infty, \infty)$.

Match the numeric expressions with the models. Select two pairs of cards and explain why each expression matches the model.

A lossy transmission line has $R=3.5 \Omega / \mathrm{m}, L=2 \mu \mathrm{H} / \mathrm{m}, C=120 \mathrm{pF} / \mathrm{m}, \text { and } G \approx 0$. At 400 MHz, determine $\alpha, \beta, Z_{\mathrm{o}}, \text { and } u$.

The engineering software used to design modern vehicles must include routines to render models of three-dimensional objects onto a two-dimensional computer screen. The software constructs the model in a three-dimensional world, represented by a box, and then projects the model onto the computer screen, represented by the front of the box. To get an idea of how this works, consider a three-dimensional model that includes line segment OA, as shown. OA lies along an angle of $\frac{\pi}{4}$ from the plane of the screen, and upward at an angle of $\frac{\pi}{6}$ from the bottom plane. The line segment OD is the rendering of OA in the plane of the screen. If OA is 10 cm long, show that the length of OC is given by the expression $10 \cos \frac{\pi}{6} \cos \frac{\pi}{4}$.