What relationship between the volume and pressure of a gas does this illustrate?

A. As volume decreases, pressure decreases.

B. As volume decreases, pressure increases.

C. As volume decreases, pressure remains the same.

D. As the volume increases, pressure remains the same

Match each of the following organelles with the correct description of its functional role in the cell: chloroplast, rough endoplasmic reticulum, lysosome, smooth endoplasmic reticulum, mitochondrion, Golgi apparatus (a) Active in synthesis, sorting, and secretion of cell products: _____ (b) Digestive organelle where macromolecules are hydrolyzed: _____ (c) Organelle where most cellular respiration occurs and most ATP is generated: _____ (d) Active in membrane synthesis and synthesis of secretory proteins: _____ (e) Active in lipid and hormone synthesis and secretion: _____ (f) Photosynthetic organelle converts light energy to chemical energy stored in sugar molecules: _____

You have made some strawberry-flavored drink from water, sugar, and drink mix. You decide to freeze the mixture into ice cubes, so you pour the liquid into an ice-cube tray and place it in the freezer along with another tray of plain water. Two hours later, you find the water has frozen, but the fruit drink has not. How can you explain this result?

Muscle Beach, Inc., makes three models of high-performance weight-training benches. Current operating data are summarized here:

Required: e. Management is considering the elimination of the ProForce model due to its low sales volume and low contribution margin ratio. As a result, total fixed expenses can be reduced to $420,000 per month. Assuming that this change would not affect the other models, would you recommend the elimination of the ProForce model? Explain your answer

True or false: A conversion factor is a fraction with one unit on top and a different unit on the bottom.

Making homemade ice cream is one of life's great pleasures. Fresh milk and cream, sugar, and flavorings are churned in a bucket suspended in an ice-water mixture, the freezing point of which has been lowered by adding rock salt. One manufacturer of home ice cream freezers recommends adding $2.50 \mathrm{lb}(1130 \mathrm{~g})$ of rock salt $(\mathrm{NaCl})$ to $16.0 \mathrm{lb}$ of ice $(7250 \mathrm{~g})$ in a 4-qt freezer. For the solution when this mixture melts, calculate the following:
the weight percent of $\mathrm{NaCl}$

Solve the problem, using a system of three equations in three unknowns and Cramer's rule.

Cheryl, of Cheryl's Famous Cookies, set out $18$ cups of flour, $14$ cups of sugar, and $13$ cups of shortening for her employees to use to make some batches of chocolate chip, oatmeal, and peanut butter cookies. She left for the day without telling them how many batches of each type to bake. The table gives the number of cups of each ingredient required for one batch of each type of cookie. How many batches of each were they supposed to bake?

$$\begin{array}{|c|c|c|c|} \hline & \text { Flour } & \text { Sugar } & \text { Shortening } \\ \hline \begin{array}{c} \text { Chocolate } \\ \text { Chip } \end{array} & 2 & 2 & 1 \\ \text { Oatmeal } & 1 & 1 & 2 \\ \text { Peanut } & 4 & 2 & 1 \\ \text { Butter } & & & \\ \hline \end{array}$$

Tell whether the following processes are spontaneous or nonspontaneous: (a) Dissolving sugar in hot coffee (b) Decomposition of $\mathrm{NaCl}$ to solid sodium and gaseous chlorine at $25^{\circ} \mathrm{C}$ and 1 atm pressure (c) Uniform mixing of bromine vapor and nitrogen gas (d) Boiling of gasoline at $25^{\circ} \mathrm{C}$ and 1 atm pressure

Let $T : \mathbb{R}^{3} \rightarrow \mathbb{R}^{3}$ be the linear transformation determined by the matrix

$$A=\left[ \begin{array}{lll}{a} & {0} & {0} \\ {0} & {b} & {0} \\ {0} & {0} & {c}\end{array}\right]$$

, where a, b, and c are positive numbers. Let S be the unit ball, whose bounding surface has the equation $x_{1}^{2}+x_{2}^{2}+x_{3}^{2}=1$. a. Show that T(S) is bounded by the ellipsoid with the equation $\frac{x_{1}^{2}}{a^{2}}+\frac{x_{2}^{2}}{b^{2}}+\frac{x_{3}^{2}}{c^{2}}=1$. b. Use the fact that the volume of the unit ball is $4 \pi / 3$ to determine the volume of the region bounded by the ellipsoid in part (a).

Twenty students agreed to participate in a study on colds. Ten were randomly assigned to receive vitamin C, and the remaining 10 received a tablet that looked and tasted like vitamin C but in fact contained only sugar and flavoring. The students did not know whether they were taking vitamin C or not, but the investigators did. The students were followed for 2 months to see who came down with a cold and who didn't. Explain whether each terms applies to this randomized experiment. Placebo. Single-blind. Double-blind. Matched pairs. Repeated measures. Replication.

The velocity v of a fluid flowing in a conduit is inversely proportional to the cross-sectional area of the conduit. (Assume that the volume of the flow per unit of time is held constant.) Determine the change in the velocity of water flowing from a hose when a person places a finger over the end of the hose to decrease its cross-sectional area by 25%.

Show that if $\vec{u}=a\vec{i}+b\vec{j}$ is a unit vector, then $(a,b)$ lies on the unit circle.

A researcher wants to compare the performance of three types of antacid in volunteers suffering from acid reflux disease. Because men and women may react differently to this medication, the subjects are split into two groups, by sex. Subjects in each group are randomly assigned to take one of the antacids or to take a sugar pill made to look the same. The subjects will rate their level of discomfort 30 minutes after eating.

The experiment uses volunteers rather than a random sample of all people suffering from acid reflux disease. Does this make the results invalid? Explain.

Define tidal volume, inspiratory reserve volume, expiratory reserve volume, and residual volume. Define vital capacity, total lung capacity, and forced expiratory vital capacity.