Numerade

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ANSWERED

Hubert Agamasu

Numerade educator

(II) Estimate the Calorie content of 65 $\mathrm{g}$ of candy from the following measurements. $\mathrm{A} 15$ -g sample of the candy is placed in a small aluminum container of mass 0.325 $\mathrm{kg}$ filled with oxygen. This container is placed in 2.00 $\mathrm{kg}$ of water in an aluminum calorimeter cup of mass 0.624 $\mathrm{kg}$ at an initial temperature of $15.0^{\circ} \mathrm{C}$ . The oxygen-candy mixture in the small container is ignited, and the final temperature of the whole system is $53.5^{\circ} \mathrm{C}$

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ANSWERED

Pritesh Ranjan

Numerade educator

With its wheels locked, a van slides down a hill inclined at $40.0^{\circ}$ to the horizontal. Find the acceleration of this van a) if the hill is icy and frictionless, and b) if the coefficient of kinetic friction is $0.20 .$

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ANSWERED

Darshan Maheshwari

Numerade educator

A student drove to the university from her home and noted that the odometer reading of her car increased by 12.0 km. The trip took 18.0 min. (a) What was her average speed? (b) If the straight-line distance from her home to the university is 10.3 km in a direction $25.0^{\circ}$ south of east, what was her average velocity? (c) If she returned home by the same path 7 h 30 min after she left, what were her average speed and velocity for the entire trip?

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Babita Kumari

Numerade educator

In Exercises 23-34, show that $f$ and $g$ are inverse functions (a) algebraically and (b) graphically. $f(x) = \frac{x+3}{x-2}$, $g(x) = \frac{2x+3}{x-1}$

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INSTANT ANSWER

In Exercises $25-28$ , the graph is that of a function $y=f(x)$ that can be obtained by transforming the graph of $y=\sqrt{x} .$ Write a formula for the function $f$

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ANSWERED

Pritesh Ranjan

Numerade educator

What frame or frames of reference do you use instinctively when driving a car? When flying in a commercial jet?

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Babita Kumari

Numerade educator

For the following exercises, consider this scenario: A town's population has been increased at a constant rate. In 2010 the population was 46,020. By 2012 the population had increased to 52,070 . Assume this trend continues. Identify the year in which the population will reach 75,000.

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Darshan Maheshwari

Numerade educator

In Exercises $27-32,$ confirm that $f$ and $g$ are inverses by showing that $f(g(x))=x$ and $g(f(x))=x .$ $$f(x)=3 x-2 \text { and } g(x)=\frac{x+2}{3}$$

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ANSWERED

Hubert Agamasu

Numerade educator

Two structural members $B$ and $C$ are bolted to bracket $A$. Knowing that both members are in tension and that $P=6$ kips and $Q=4$ kips, determine graphically the magnitude and direction of the resultant force exerted on the bracket using $(a)$ the parallelogram law, $(b)$ the triangle rule.

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INSTANT ANSWER

Would usury laws help or hinder resolution of a shortage in financial markets?

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Edu C.