R$\'e$crivez le d$\'e$but de l’histoire de La Belle et la B$\^e$te au pass$\'e$ en mettant les verbes en caract$\'e$res gras $\'a$ l’imparfait ou au pass$\'e$ compos$\'e$.

Il (14) neige et il (15) fait tr$\`e$s froid et en route, il ne (16) peut rien voir dans la for$\^e$t.

Large amounts of depleted uranium $(^{238} \mathrm{U})$ are available as a by-product of uranium processing for reactor fuel and weapons. Uranium is very dense and makes good counter weights for aircraft. Suppose you have a 4000-kg block of $^{238} \mathrm{U}.$ (a) Find its activity. (b) How many calories per day are generated by thermalization of the decay energy? (c) Do you think you could detect this as heat? Explain.

Strategy for Overcoming an Unfavorable Reaction: ATP-Dependent Chemical Coupling The phosphorylation of glucose to glucose 6-phosphate is the initial step in the catabolism of glucose. The direct phosphorylation of glucose by $P_i$ is described by the equation
Glucose $+\mathrm{P}_{\mathrm{i}} \rightarrow$ glucose 6-phosphate $+\mathrm{H}_2 \mathrm{O} \Delta G^{\prime \prime}=13.8 \mathrm{~kJ} / \mathrm{mol}$
(a) Calculate the equilibrium constant for the above reaction at $37{ }^{\circ} \mathrm{C}$. In the rat hepatocyte, the physiological concentrations of glucose and $P_i$ are maintained at approximately $4.8 \mathrm{mM}$. What is the equilibrium concentration of glucose 6-phosphate obtained by the direct phosphorylation of glucose by $P_i$ ? Does this reaction represent a reasonable metabolic step for the catabolism of glucose? Explain.
(b) In principle, at least, one way to increase the concentration of glucose 6-phosphate is to drive the equilibrium reaction to the right by increasing the intracellular concentrations of glucose and $P_i$. Assuming a fixed concentration of $P_i$ at $4.8 \mathrm{mM}$, how high would the intracellular concentration of glucose have to be to give an equilibrium concentration of glucose 6-phosphate of $250 \mu \mathrm{M}$ (the normal physiological concentration)? Would this route be physiologically reasonable, given that the maximum solubility of glucose is less than $1 \mathrm{M}$ ?
(c) The phosphorylation of glucose in the cell is coupled to the hydrolysis of ATP; that is, part of the free energy of ATP hydrolysis is used to phosphorylate glucose:
(1) Glucose $+\mathrm{P}_{\mathrm{i}} \rightarrow$ glucose 6-phosphate $+\mathrm{H}_2 \mathrm{O} \Delta G^{\prime *}=13.8 \mathrm{~kJ} /$
(2) $\mathrm{ATP}+\mathrm{H}_2 \mathrm{O} \rightarrow \mathrm{ADP}+\mathrm{P}_{\mathrm{i}} \quad \Delta G^{\prime *}=-30.5$
Sum : Glucose + ATP $\rightarrow$ glucose 6-phosphate + ADP
Calculate $K_{\text {eq }}^{\prime}$ at $37^{\circ} \mathrm{C}$ for the overall reaction. For the ATP-dependent phosphorylation of glucose, what concentration of glucose is needed to achieve a $250 \mu \mathrm{M}$ intracellular concentration of glucose 6-phosphate when the concentrations of ATP and ADP are $3.38$ $\mathrm{mM}$ and $1.32 \mathrm{mM}$, respectively? Does this coupling process provide a feasible route, at least in principle, for the phosphorylation of glucose in the cell? Explain.
(d) Although coupling ATP hydrolysis to glucose phosphorylation makes thermodynamic sense, we have not yet specified how this coupling is to take place. Given that coupling requires a common intermediate, one conceivable route is to use ATP hydrolysis to raise the intracellular concentration of $P_i$ and thus drive the unfavorable phosphorylation of glucose by $\mathrm{P}_{\mathrm{i}}$. Is this a reasonable route? (Think about the solubility product, $K_{\text {sp }}$, of metabolic intermediates.)
(e) The ATP-coupled phosphorylation of glucose is catalyzed in hepatocytes by the enzyme glucokinase. This enzyme binds ATP and glucose to form a glucose-ATP-enzyme complex, and the phosphoryl group is transferred directly from ATP to glucose. Explain the advantages of this route.

Voeller Corporation produces ketchup. Voeller uses a process costing system to record costs. On October 1, Voeller had 18,000 bottles of ketchup in the Processing Department. The bottles were 100% complete as to direct materials and 30% complete as to conversion costs. The following data were gathered on October 31:

$$\begin{array}{lr} \text { Units started this period } & 620,000 \\ \text { Units completed this period } & 618,000 \\ \text { Units in ending work in process (100\% complete as to direct } \\ \quad \text { materials and } 60 \% \text { complete as to conversion costs) } & 20,000 \end{array}$$

Partially completed forms and a blank general journal are provided in the Working Papers.

Instructions:

1. Calculate equivalent units of production for the Processing Department for October.

2. Record the following transactions:

3. Using the cost information in Instruction 2c, assume that 560,000 bottles of ketchup were transferred to finished goods. If Voeller uses 20% as its percentage of markup, calculate the following per bottle:

a. Cost

b. Dollar amount of markup

c. Selling price

d. Profit margin

4. Voeller is in the process of developing a Cajun specialty sauce. The company believes that the selling price cannot exceed$3.00, and it requires a profit of 20% per unit. What is the target cost for the specialty sauce?

A cycle graph is a graph consisting of a single cycle (a route that uses each edge and vertex exactly once and ends where it started).

a. Color the vertices of each of the cycle graphs below using as few colors as possible.

b. Make a conjecture about the minimum number of colors needed to color cycle graphs. Write an argument supporting your conjecture. Test your conjecture by drawing and coloring some large cycle graphs using vertex edge graph software if available.

Suppose there are two stoplights between your home and school. On the many times you have taken this route. you have determined that 70% of the time you are stopped on the first light and 40% of the time you are stopped on both lights. If you are not stopped on the first light, there is a 50% chance that you are stopped on the second light. What is the probability that you make it to school without having to stop at a stoplight?

• What conditional probability are you looking for?

• How can a tree diagram help?

For each of these arguments, explain which rules of inference are used for each step.

a) “Doug, a student in this class, knows how to write programs in JAVA. Everyone who knows how to write programs in JAVA can get a high-paying job. Therefore, someone in this class can get a high-paying job.”

b) “Somebody in this class enjoys whale watching. Every person who enjoys whale watching cares about ocean pollution. Therefore, there is a person in this class who cares about ocean pollution.”

c) “Each of the 93 students in this class owns a personal computer. Everyone who owns a personal computer can use a word processing program. Therefore, Zeke, a student in this class, can use a word processing program.”

d) “Everyone in New Jersey lives within 50 miles of the ocean. Someone in New Jersey has never seen the ocean. Therefore, someone who lives within 50 miles of the ocean has never seen the ocean.”

The sentence in this exercise contains an italicized word beginning with circum- or peri-. The root word and its meaning are given in parentheses after the sentence. Step 1: Taking the context into consideration, write your own definition of the word. Step 2: Write the dictionary definition of the word. Choose the definition that fits the way in which the word is used in the sentence. Step 3: Write a sentence of your own in which you use the word correctly.

The examination of a driver may include a test of peripheral vision. (Greek root word: pherein, "to carry")

YOUR DEFINITION ____________________________________________________________________________________________________________________

DICTIONARY DEFINITION ____________________________________________________________________________________________________________________

SENTENCE ____________________________________________________________________________________________________________________

Un voyageur nerveux. Chaque fois qu'il part en vacances, M. Laffont se preoccupe de tout (worries about everything). $\mathrm{M}^{\mathrm{mc}}$ Laffont essaie toujours de le calmer (calm him down). Avec un(e) camarade, jouez les roles de $\mathrm{M}$. et $\mathrm{M}^{\mathrm{mc}}$ Laffont. Suivez le modele.

Nous ne sommes pas encore sur la bonne route (the right road).

A map shows a main gas pipeline running straight from A(45, 60) to B(65, 40). a) How long is the section of pipeline from A to B if each unit on the map grid represents 1 km? b) A branch pipeline runs perpendicular to the main pipeline and meets it at a point halfway between A and B. Find the coordinates of this point. c) Is the point C(63, 54) on the branch pipeline? Explain your reasoning. d) What is the shortest route for connecting point C to the main pipeline? Explain.

Green Forever, a manufacturer of lawn equipment, has preliminary drawings for two grass trimmer designs. Charla Fraley's job is to determine which is better environmentally. Specifically, she is to use the following data to help the company determine:

Which model is the better design alternative based on revenue retrieval

GF Deluxe

Premium Mate

Use the formula

$$\text{Time traveled} = \frac{\text{Distance traveled}}{\text{Average velocity}}.$$

You ride your bike to campus a distance of $5$ miles and return home on the same route. Going to campus, you ride mostly downhill and average $9$ miles per hour faster than on your return trip home. If the round trip takes one hour and ten minutes—that is $\frac{7}{6}$ hours—what is your average velocity on the return trip?

Strawberry Sweet Company makes a variety of jams and jellies. During June, 55,000 gallons of strawberry mash was processed at a joint cost of $40,000. This produced 42,000 gallons of preserve-grade mix and 4,000 gallons of strawberry juice for jelly. The juice could be processed further into energy drinks, and the preserve mix could be processed further into ice cream flavoring. Information on these items is shown:

$$\begin{array}{|lccc|} \hline \text { Product } & \begin{array}{c} \text { Sales Value at } \\ \text { Split-Off Point } \end{array} & \begin{array}{c} \text { Estimated Further } \\ \text { Processing Cost } \end{array} & \begin{array}{c} \text { Sales Value } \\ \text { after Processing } \end{array} \\ \text { Preserve mix } & \$ 104,500 & \$ 8,000 & \$ 125,000 \\ \text { Juice for jelly } & 50,500 & 40,000 & 70,000 \\ \hline \end{array}$$

A. Assume that the joint cost is allocated to the products based on the physical quantity of output of each product. How much joint cost should be assigned to each product?

A manufacturing cell within a value stream has three processes and the following associated processing times:

Drilling: 12 minutes

Inserting: 6 minutes

Finishing: 2 minutes

How many units can the cell produce per hour (on a continuous running basis)?

a. 10 units per hour
b. 3 units per hour
c. 5 units per hour
d. 30 units per hour