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Diane Atkins

Diane A.

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Questions asked

INSTANT ANSWER

As a new controller, reply to this comment by a plant manager: "As I see it, our accountants may be needed to keep records for shareholders and Uncle Sam, but I don't want them sticking their noses in my day-to-day operations. I do the best I know how. No bean counter knows enough about my responsibilities to be of any use to me."

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ANSWERED

Pritesh Ranjan verified

Numerade educator

The spring constant of an automotive suspension spring increases with increasing load due to a spring coil that is widest at the bottom, smoothly tapering to a smaller diameter near the top. The result is a softer ride on normal road surfaces from the narrower coils, but the car does not bottom out on bumps because when the upper coils collapse, they leave the stiffer coils near the bottom to absorb the load. For a tapered spiral spring that compresses 12.9 $\mathrm{cm}$ with a $1000-\mathrm{N}$ load and 31.5 $\mathrm{cm}$ with a $5000-\mathrm{N}$ load, (a) evaluate the constants $a$ and $b$ in the empirical equation $F=a x^{b}$ and $(b)$ find the work needed to compress the spring $25.0 \mathrm{cm} .$

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C D verified

Numerade educator

$\begin{array}{l}{\text { Interest Lauren Snowden puts } \$ 10,500 \text { into an account to }} \\ {\text { save money to buy a car in } 12 \text { years. She expects the car of her }} \\ {\text { dreams to cost } \$ 35,000 \text { by then. Find the interest rate that is nec- }} \\ {\text { essary if the interest is computed using the following methods. }} \\ {\text { (a) Compounded quarterly (b) Compounded monthly }}\end{array}$

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ANSWERED

Umar Sohail Qureshi verified

Numerade educator

A coin is tossed six times. Two possible sequences of results are (i) HTTHTH (ii) HHHHH (The coin must land $\mathrm{H}$ or $\mathrm{T}$ in the order given $; \mathrm{H}=$ heads $, \mathrm{T}=$ tails. $)$ Which of the following is correct? Explain. (a) Sequence (i) is more likely. (b) Sequence (ii) is more likely. (c) Both sequences are equally likely.

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ANSWERED

Christopher Dzorkpata verified

Numerade educator

B1O Photosynthesis The light that plants absorb to perform photosynthesis has a wavelength that peaks near 675 $\mathrm{nm}$ . Express this distance in (a) millimeters and (b) inches.

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ANSWERED

Satyam Gupta verified

Numerade educator

Find constants $A, B,$ and $C$ such that the function $y=A x^{2}+B x+C$ satisfies the differential equation $y^{\prime \prime}+y^{\prime}-2 y=x^{2}$

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ANSWERED

Teresa Fuston verified

Numerade educator

In Exercises 41-48, find (a) $f \circ g$, and (b) $g \circ f$. Find the domain of each function and each composite function. $f(x) = \sqrt[3]{x-5}$, $g(x) = x^3 + 1$

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ANSWERED

Umar Sohail Qureshi verified

Numerade educator

The National Aeronautics and Space Administration (NASA) compiles data on space-shuttle launches and publishes them on its Web site. The following table displays a frequency distribution for the number of crew members on each shuttle mission from April 1981 to July 2000 . $$\begin{array}{|l|lllllll|} \hline \text { Crew size } & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ \hline \text { Frequency } & 4 & 1 & 2 & 36 & 18 & 33 & 2 \\ \hline \end{array}$$ Let $X$ denote the crew size of a randomly selected shuttle mission between April 1981 and July 2000. a. What are the possible values of the random variable $X ?$ b. Use random-variable notation to represent the event that the shuttle mission obtained has a crew size of 7. c. Find $P(X=4)$; interpret in terms of percentages. d. Obtain the probability distribution of $X$. e. Construct a probability histogram for $X$

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INSTANT ANSWER

Use the following information posted at the end of the trading day on April 22 to answer Exercises 2–7. $$\begin{array}{|c|c|c|c|c|c|c|c|c|}\hline 52 \text {-week } & 52 {\text {-week }} & {} & {} & {} & {} & {\text { Sales of }} & {} & {} \\ \text { High } & {\text { Low }} & \text { Symbol } & \text { Stock } & \text { Last } & \text { Change } & 100 \text {s} & {\text { High }} & {\text { Low }} \\ \hline \text { 151,650 } & {107,200} & \text {BRK/A} & \text {Berkshire} & {127,200} & \text { ?1000 } & {4.11} & {128,600} & {127,000} \\ {} & {} & {} & \text { Hathaway Inc } & {} & {} & {} & {} & {} \\ \hline {120.2} & {66.39} & \text{FCX} & \text{Freeport-McMoRan} & {118.65} & {3.51} & {147,540} & {120.06} & {116.64} \\ {} & {} & {} & \text{Copper & Gold Inc} & {} & {} & {} & {} & {} \\ \hline {63.69} & {46.64} & \text{MCD} & \text{McDonald’s} & {58.35} & {?0.55} & {106,077} & {58.77} & {57.42} \\ {} & {} & {} & \text{Corporation} & {} & {} & {} & {} & {} \\ \hline {266.81} & {112.11} & \text{PTR} & \text{PetroChina} & {137.19} & {+2.16} & {16,266} & {140.92} & {136.09} \\ {} & {} & {} & \text{Company Ltd} & {} & {} & {} & {} & {} \\ \hline {39.63} & {27.51} & \text{TXN} & \text{Texas Instruments Inc} & {28.85} & {?1.74} & {288,012} & {29.64} & {28.38} \\ \hline {144.04} & {92.18} & \text{WBK} & \text{Westpac Banking} & {113.62} & {2.45} & {332.7} & {115.35} & {113.50} \\ {} & {} & {} & \text{Corporation} & {} & {} & {} & {} & {} \\ \hline \end{array}$$ Use the information from Exercise 5 to determine the percent of net change from April 21 to April 22 for each of the corporations listed in that question. Round answers to the nearest tenth of a percent.

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INSTANT ANSWER

Snapshots of two hypothetical reactions, $A(g)+$ $B(g) \rightleftharpoons A B(g)$ and $X(g)+Y(g) \rightleftharpoons X Y(g)$ at five different times are shown here. Which reaction has a larger equilibrium constant? [Sections 15.1 and 15.2]

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