Sketch a heating curve for a substance $\mathrm{X}$ whose melting point is $40^{\circ} \mathrm{C}$ and whose boiling point is $65^{\circ} \mathrm{C}$.

(a) Describe what you will observe as a $60.-\mathrm{g}$ sample of $\mathrm{X}$ is warmed from $0^{\circ} \mathrm{C}$ to $100^{\circ} \mathrm{C}$.
(b) If the heat of fusion of $\mathrm{X}$ is $80 .\mathrm{~J}/\mathrm{g}$, the heat of vaporization is $190 .\mathrm{~J}/\mathrm{g}$, and if $3.5\mathrm{~J}$ are required to warm $1\mathrm{~g}$ of $\mathrm{X}$ each degree, how much energy will be needed to accomplish the change in (a)?

A cold beverage can be kept cold even on a warm day if it is slipped into a porous ceramic container that has been soaked in water. Assume that energy lost to evaporation matches the net energy gained via the radiation exchange through the top and side surfaces. The container and beverage have temperature T = 15°C, the environment has temperature T_env = 32°C, and the container is a cylinder with radius r = 2.2 cm and height 10 cm. Approximate the emissivity as ε = 1, and neglect other energy exchanges. At what rate dm/dt is the container losing water mass?

Originally, M&Ms Plain Chocolate Candies carne in only a brown color. Today, M&Ms in standard bags con1e in six colors: brown, yellow, red, blue, orange, and green. According to Mars Corporation, today 24% of all M&Ms produced are blue, 20% are orange, 16% are green, 14% are yellow, 13% are brown, and 13 % are red. Suppose you purchase a randomly selected bag of M&Ms Plain Chocolate Candies and randomly select one of the M&Ms from the bag. The color of the selected M&M is of interest. Assign reasonable probabilities to the outcomes.

The temperature T (in °C) at a location in the Northern Hemisphere depends on the longitude x, latitude y, and time t, so we can write T=f(x, y, t). Let’s measure time in hours from the beginning of January. Honolulu has longitude 158°W and latitude 21° N. Suppose that at 9:00 AM on January 1 the wind is blowing hot air to the northeast, so the air to the west and south is warm and the air to the north and east is cooler. Would you expect fx(158. 21. 9), fy(158, 21, 9), and ft(158, 21, 9) to be positive or negative? Explain.

According to this selection, what made peoples eyes burn? a. dust storms caused by erosion b. pollutants released by burning trash c. pollutants released by cars and trucks d. warm weather After World War II, thousands of families moved into Los Angeles and its suburbs. New neighborhoods were springing up, replacing orange groves and open space. Roads and schools were quickly built to keep pace with the rapid population growth. Surrounded by beautiful mountains, the entire Los Angeles basin looked like a new, green, sun-filled paradise to the families moving there. In the early 1950s, one of the common family chores in Los Angeles was to carry the trash out to the stone incinerator behind the garage, where each family burned its dry trash. "Wet" garbage was collected and taken to the city dump, where it was burned by the city. Everyone throughout the city either used an incinerator or burned things in an open trash pile.There were more than 400,000 back- yard trash incinerators. On warm afternoons, people's eyes would sometimes sting and burn. People would stop, close their eyes, and let the cleansing tears refresh irritated eyes. They accepted this as a normal part of life in suburban Los Angeles.

Discuss the following problem. Melanosomes are specialized lysosomes that store pigments for eventual release by exocytosis. Various cells such as skin and hair cells then take up the pigment, which accounts for their characteristic pigmentation. Mouse mutants that have defective melanosomes often have pale or unusual coat colors. One such light-colored mouse, the Mocha mouse, has a defect in the gene for one of the subunits of the adaptor protein complex AP3, which is associated with coated vesicles budding from the trans Golgi network. How might the loss of AP3 cause a defect in melanosomes?

Warm air is contained in a piston-cylinder assembly oriented horizontally as shown in figure. The air cools slowly from an initial volume of $0.003 \mathrm{~m}^3$ to a final volume of $0.002 \mathrm{~m}^3$. During the process, the spring exerts a force that varies linearly from an initial value of $900 \mathrm{~N}$ to a final value of zero. The atmospheric pressure is $100\ \mathrm{kPa}$, and the area of the piston face is $0.018 \mathrm{~m}^2$. Friction between the piston and the cylinder wall can be neglected. For the air in the piston-cylinder assembly. determine the initial and final pressures, each in $\mathrm{kPa}$ and $\mathrm{atm}$.

Most of the following sentences contain an incorrect form of a modifier, a misplaced modifier, or a dangling modifier. On the lines provided, revise each sentence that contains an error. If a sentence is already correct, write C.

Examples 1. The gift was more costlier than I had expected it to be.

$$\underline{\color{#c34632}\text{The gift was more costly than I had expected it to be.}}$$

2. A blue girl’s coat has been found.

$$\underline{\color{#c34632}\text{A girl’s blue coat has been found.}}$$

Although her choice of colors wasn’t the best, she arranged the flowers good. ___________________________________

The candy company claims that 10% of the M&M’s it produces are green. Suppose that the candies are packaged at random in small bags containing about 50 M&M’s. A class of elementary school students learning about percents opens several bags, counts the various colors of the candies, and calculates the proportion that are green. a) If we plot a histogram showing the proportions of green candies in the various bags, what shape would you expect it to have? b) Can that histogram be approximated by a Normal model? Explain. c) Where should the center of the histogram be? d) What should the standard deviation of the proportion be?

The school store sells spiral notebooks in four colors and three different sizes. The table shows the sales by size and color for 400 notebooks.

100 Pages: Red 55, Green 37, Blue 26, Yellow 12 150 Pages: Red 60, Green 44, Blue 57, Yellow 27 200 Pages: Red 23 Green 19, Blue 21, Yellow 19

How many possible combined page count and color choices are possible? How does this number relate to the number of page size choices and to the number of color choices?

A "Bag-of-Beads" for crafts contains five different colors of beads. The company that makes them claims that each bag contains the same number of each color. How does the experimental probability compare with the theoretical probability in Rosheeda's experiment? Explain why her results do or do not support the company's claim.

$$\begin{array}{|c|c|}\hline \text { Color } & {\text { Number }} \\ \hline \text { red } & {55} \\ \hline \text { blue } & {53} \\ \hline \text { green } & {64} \\ \hline \text { yellow } & {47} \\ \hline \text { purple } & {61} \\ \hline\end{array}$$

Symbols are assigned to represent sentences, and truth values are assigned to these sentences.

Let $j$ represent "July is a warm month." $\quad$ (True) Let $d$ represent "I am busy every day." $\quad$ (False) Let $g$ represent "I work in my garden." $\quad$ (True) Let $f$ represent "I like flowers." $\quad\quad\quad\quad$ (True)

For the compound statement in symbolic form: (a). Write a complete sentence in words to show what the symbols represent. (b). Tell whether the compound statement is true or false.

$$\sim j \rightarrow(d \wedge f)$$

Kellogg's Froot Loops cereal comes in six colors: orange, yellow, purple, red, blue, and green. Charise randomly selected 120 loops and noted the color of each. Here are her data:

$$\begin{array}{lcccccc} \hline \text { Color } & \text { Orange } & \text { Yellow } & \text { Purple } & \text { Red } & \text { Blue } & \text { Green } \\ \text { Count } & 28 & 21 & 16 & 25 & 14 & 16 \\ \hline \end{array}$$

Do these data provide convincing evidence at the 5% significance level that Kellogg's Froot Loops do not contain an equal proportion of each color?

It takes the hot water hose $6 \mathrm{~min}$ to fill a washing machine. It takes the cold water hose $4 \mathrm{~min}$ to fill the machine. Let $t$ represent the amount of time it would take for the hot and cold water hoses to fill the machine with warm water. Complete the following table.