In Fig. we saw earlier, $C_1=6.00 \mu \mathrm{F}, C_2=3.00 \mu \mathrm{F}, C_3=$ $4.00 \mu \mathrm{F}$, and $C_4=8.00 \mu \mathrm{F}$. The capacitor network is connected to an applied potential difference $V_{a b}$. After the charges on the capacitors have reached their final values, the voltage across $\mathrm{C}_3$ is $40.0 \mathrm{~V}$. What are (c) the voltage $V_{a b}$ applied to the network?

Numerical and Graphical Reasoning A crossed belt connects a 20-centimeter pulley (10-cm radius) on an electric motor with a 40 -centimeter pulley (20-cm radius) on a saw arbor (see figure). The electric motor runs at 1700 revolutions per minute.

Find

$$\lim _{\phi \rightarrow(\pi / 2)^{-}} L .$$

Use a geometric argument as the basis of a second method of finding this limit.

Hairdryers work by blowing heat that is generated by exposed, high-resistance wires. (a) If a woman using a hairdryer comes in direct contact with the $110-\mathrm{V}$ wires, find the current that travels through her if she is dry and has a resistance of $500, 000 \Omega$ . (b) If she is wet, the resistance of her body can drop as low as $100 \Omega$. Calculate the current that passes through her body at this resistance. (Death can result when a current of $0.07$ A flows through a person's body for more than $1 \mathrm{~s}$.)

The following sentence contains two personal pronouns in parentheses. Underline the pronoun that correctly completes the sentence. Then, on the line provided, write DO if the pronoun is a direct object, IO if it is an indirect object, or OP if it is an object of a preposition. Example $\underline{\text{IO}}$ 1. Mr. Graves offered Tranh and (I, $\underline{\text{me}}$) endless encouragement and guidance.

______ Norah saw (they, them) at the party for Darlene.

For the capacitor network shown in Fig. we saw earlier, the potential difference across $a b$ is $48 \mathrm{~V}$. Find (a) the total charge stored in this network:

Amigo Mobility, which manufactures battery-powered mobility scooters, has $700,000 to invest. The company is considering three different battery projects that will yield the following rates of return:$ $\text{Deep cycle = 28\\%} \\ \text{Wet/flooded = 42\\%} \\ \text{Lithium ion = 19\\%}$ $The initial investment required for each project is$200,000, $100,000, and$400,000, respectively. If Amigo’s MARR is 15% per year and it invests in all three projects, what rate of return will the company make?

In Fig. we saw earlier, $C_1=$ $6.00 \mu \mathrm{F}, \quad C_2=3.00 \mu \mathrm{F}$. and $C_3=5.00 \mu \mathrm{F}$. The capacitor network is connected to an applied potential $V_{a b}$. After the charges on the capacitors have reached their final values, the charge on $C_2$ is $30.0 \mu \mathrm{C}$. (b) What is the applied voltage $V_{a b}$ ?

Determine whether the following arguments are inductive or deductive. If an argument is inductive, determine whether it is strong or weak. If it is deductive, determine whether it is valid or invalid. After taking LSD, Alice said she saw a flying saucer land in the shopping center parking lot. Since Alice has a reputation for always telling the truth, we must conclude that a flying saucer really did land there.

Calcium carbide reacts with water to produce acetylene gas according to the following equation:

$$\ce{CaC2 (s) + 2H2O (l) -> Ca(OH)2 (aq) + C2H2 (g)}$$

The product gas, $\ce{C2H2}$ is collected over water at a temperature of $25\degree\ce C$ and a pressure of $750\text{ mmHg}$. If the wet $\ce{C2H2}$ gas formed occupies a volume of $7.52\ce L$, the number of moles of $\ce{CaC2}$ reacted was _____ mol. The vapor pressure of water is $23.8\text{ mmHg}$ at $25\degree\ce C$.

As a prank, someone has balanced a pumpkin at the highest point of a grain silo. The silo is topped with a hemispherical cap that is frictionless when wet. The line from the center of curvature of the cap to the pumpkin makes an angle $\theta_{i}=0^{\circ}$ with the vertical. While you happen to be standing nearby in the middle of a rainy night, a breath of wind makes the pumpkin start sliding downward from rest. It loses contact with the cap when the line from the center of the hemisphere to the pumpkin makes a certain angle with the vertical. What is this angle?

Underline any titles that should be italicized in the following sentences. If a sentence is already correct, write $C$ before the item number.

Example 1. In Madrid, I saw $\underline{\text{Guernica}}$, a fascinating painting by Pablo Picasso.

14. In the 1940's, Langston Hughes wrote a column for the New York Post in which a character called Simple voiced the thoughts of young black Americans.

What structural purpose do the interruptions in the narrator’s interior monologue serve in the story? For instance, “Ronnie is calling. He is wet and I change him” in paragraph $43$. Notice, too, how the speaker’s use of run-on sentences and made-up words — such as “four-year-oldness” (para. $16$) — contrasts with short declarative sentences such as “She was a beautiful baby” (paras. 5 and 8), “I was nineteen” (para. $9$), and “She was two” (para. $12$). What is the effect of this juxtaposition?

The front of her sleeper wet from teething, a baby rejoices in the day by crowing and bouncing up and down in her crib. Her mass is $12.5 \mathrm{~kg}$, and the crib mattress can be modeled as a light spring with force constant $4.30 \mathrm{kN} / \mathrm{m}$. (a) The baby soon learns to bounce with maximum amplitude and minimum effort by bending her knees at what frequency? (b) She learns to use the mattress as a trampoline-losing contact with it for part of each cycle-when her amplitude exceeds what value?

The Merricks are at a beach resort in Cannes. Say what each family member is about to do based on his or her likes or dislikes. There is only one possibility for each.

{ faire de la voile } $\quad${ nager } $\quad$ { faire du parachutisme ascensionnel } $\quad$ { faire du scooter des mers } $\quad$ { bronzer }$\quad$ { faire du ski nautique }

Le chien adore sentir lair mais il n'aime pas la vitesse et $\`{e}$tre mouillé (wet).