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Emily West

Emily W.

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Nicole Smina verified

Numerade educator

What amount (moles) of compound is present in $1.00 \mathrm{g}$ of each of the compounds in Exercise 52?

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Hubert Agamasu verified

Numerade educator

Use the position-time graph below to answer the following questions: a. During which time interval(s) is the velocity negative? b. During which time interval(s) is the velocity positive?

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Dominique Jan Tan verified

Numerade educator

A Toyota Prius driving north at 65 $\mathrm{mph}$ and a $\mathrm{VW}$ Passat driving south at 42 $\mathrm{mph}$ are on the same road heading toward each other (but in different lanes). What is the velocity of each car relative to the other (a) when they are 250 $\mathrm{ft}$ apart, just before they meet, and (b) when they are 525 $\mathrm{ft}$ apart, after they have passed each other?

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Dragsters can actually reach a top speed of 145 m/s in only 4.45 s—considerably less time than given in Example 2.10 and Example 2.11. (a) Calculate the average acceleration for such a dragster. (b) Find the final velocity of this dragster starting from rest and accelerating at the rate found in (a) for 402 m (a quarter mile) without using any information on time. (c) Why is the final velocity greater than that used to find the average acceleration? Hint: Consider whether the assumption of constant acceleration is valid for a dragster. If not, discuss whether the acceleration would be greater at the beginning or end of the run and what effect that would have on the final velocity.

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Jennifer Hudspeth verified

Numerade educator

Epsom salts, a strong laxative used in veterinary medicine, is a hydrate, which means that a certain number of water molecules are included in the solid structure. The formula for Epsom salts can be written as $\mathrm{MgSO}_{4} \cdot x \mathrm{H}_{2} \mathrm{O},$ where $x$ indicates the number of moles of $\mathrm{H}_{2} \mathrm{O}$ per mole of $\mathrm{MgSO}_{4}$ When 5.061 $\mathrm{g}$ of this hydrate is heated to $250^{\circ} \mathrm{C},$ all the water of hydration is lost, leaving 2.472 g of MgSO $_{4} .$ What is the value of $x ?$

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Umar Sohail Qureshi verified

Numerade educator

In Problem $2,$ what is the speed of the car at (a) point $A$ (b) point $B,$ and $(c)$ point $C ?$ (d) How high will the car go on the last hill, which is too high for it to cross? (e) If we substitute a second car with twice the mass, what then are the answers to (a) through (d)?

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Leon Druch verified

Numerade educator

The mean score on the Stats exam was 75 points with a standard deviation of 5 points, and Gregor's z-score was - 2. How many points did he score?

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Jennifer Hudspeth verified

Numerade educator

Which statements are inconsistent with Rutherford 's nuclear theory as it was originally stated? Why? a. Since electrons are smaller than protons, and since a hydrogen atom contains only one proton and one electron, it must follow that the volume of a hydrogen atom is mostly due to the proton. b. A nitrogen atom has 7 protons in its nucleus and 7 electrons outside of its nucleus. c. A phosphorus atom has 15 protons in its nucleus and 150 electrons outside of its nucleus. d. The majority of the mass of a fluorine atom is due to its 9 electrons.

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INSTANT ANSWER

The market for peanut butter in Nutville is monopolistically competitive and in long-run equilibrium. One day, consumer advocate Skippy Jif discovers that all brands of peanut butter in Nutville are identical. Thereafter, the market becomes perfectly competitive and again reaches its long-run equilibrium. Using an appropriate diagram, explain whether each of the following variables increases, decreases, or stays the same for a typical firm in the market. a. price b. quantity c. average total cost d. marginal cost e. profit

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Albert Tres verified

Numerade educator

A contractor purchases a bulldozer for $\$ 36,500$ . The bulldozer requires an average expenditure of $\$ 5.25$ per hour for fuel and maintenance, and the operator is paid $\$ 11.50$ per hour. (a) Write a linear equation giving the total cost $C$ of operating the bulldozer for $t$ hours. (Include the purchase cost of the bulldozer.) (b) Assuming that customers are charged $\$ 27$ per hour of bulldozer use, write an equation for the revenue $R$ derived from $t$ hours of use. (c) Use the profit formula $(P=R-C)$ to write an equation for the profit derived from $t$ hours of use. (d) Use the result of part (c) to find the break-even point (the number of hours the bulldozer must be used to yield a profit of 0 dollars).

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