Numerade

Questions asked

ANSWERED

Aparna Shakti

Numerade educator

The following figure shows the contents and pressures of three vessels of gas that are joined by a connecting tube.After the valves on the vessels are opened, the final pressure is measured and found to be 0.675 atm. What is the total volume of the connecting tube? Assume that the temperature remains constant.

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INSTANT ANSWER

Histograms of random sample data are often used as an indication of the shape of the underlying population distribution. The histograms on the next page are based on random samples of size $30,50,$ and 100 from the same population. (a) Using the midpoint labels of the three histograms, what would you say about the estimated range of the population data from smallest to largest? Does the bulk of the data seem to be between 8 and 12 in all three histograms? (b) The population distribution from which the samples were drawn is symmetric and mound-shaped, with the top of the mound at $10,95 \%$ of the data between 8 and $12,$ and $99.7 \%$ of data between 7 and $13 .$ How well does each histogram reflect these characteristics?

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Darshan Maheshwari

Numerade educator

In Exercises $53-62,$ find the domain of the function. $$ g(y)=\frac{y+2}{\sqrt{y-10}} $$

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Darshan Maheshwari

Numerade educator

In Exercises $21-28,$ an object moves in simple harmonic motion described by the given equation, where $t$ is measured in seconds and $d$ in inches. In each exercise, ind the following: a. the maximum displacement b. the frequency c. the time required for one cycle. $$ d=10 cos 2 pi t $$

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INSTANT ANSWER

Are some cities more windy than others? Does Chicago deserve to be nicknamed "The Windy City"? Given below are the average wind speeds (in miles per hour) for 45 selected U.S. cities:$$\begin{array}{rrrrrrrrr} 8.9 & 12.4 & 8.6 & 11.3 & 9.2 & 8.8 & 35.1 & 6.2 & .07 \\ 7.1 & 11.8 & 10.7 & 7.6 & 9.1 & 9.2 & 8.2 & 9.0 & 8.7 \\ 9.1 & 10.9 & 10.3 & 9.6 & 7.8 & 11.5 & 9.3 & 7.9 & 8.8 \\ 8.8 & 12.7 & 8.4 & 7.8 & 5.7 & 10.5 & 10.5 & 9.6 & 8.9 \\ 10.2 & 10.3 & 7.7 & 10.6 & 8.3 & 8.8 & 9.5 & 8.8 & 9.4 \end{array}$$ a. Construct a relative frequency histogram for these data. (Choose the class boundaries without including the value 35.1 in the range of values.) b. The value 35.1 was recorded at $\mathrm{Mt}$. Washington, New Hampshire. Does the geography of that city explain the magnitude of its average wind speed? c. The average wind speed for Chicago is 10.3 miles per hour. What percentage of the cities have average wind speeds in excess of Chicago's? d. Do you think that Chicago is unusually windy?

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Darshan Maheshwari

Numerade educator

A car is traveling at $20.0 \mathrm{m} / \mathrm{s},$ and the driver sees a traffic light turn red. After 0.530 s (the reaction time), the driver applies the brakes, and the car decelerates at 7.00 $\mathrm{m} / \mathrm{s}^{2} .$ What is the stopping distance of the car, as measured from the point where the driver first sees the red light?

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Eduard Sanchez

Numerade educator

For the two vectors $\overrightarrow{A}$ and $\overrightarrow{D}$ in Fig. E1.24, find the magnitude and direction of (a) the vector product $\overrightarrow{A}$ $\times$ $\overrightarrow{D}$; (b) the vector product $\overrightarrow{D}$ $\times$ $\overrightarrow{A}$.

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Eduard Sanchez

Numerade educator

The potential energy of a pair of hydrogen atoms separated by a large distance $x$ is given by $U(x) = -C_6/x^6$, where $C_6$ is a positive constant. What is the force that one atom exerts on the other? Is this force attractive or repulsive?

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Tianyu Li

Numerade educator

Consider the reaction: A 2.75-L reaction vessel at 950 K initially contains 0.100 mol of SO2 and 0.100 mol of O2. Calculate the total pressure (in atmospheres) in the reaction vessel when equilibrium is reached.

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INSTANT ANSWER

Why is it beneficial for cells to use ATP rather than directly using the energy stored in the bonds of carbohydrates to power cellular reactions? What are the greatest drawbacks to harnessing energy from the bonds of several different compounds? a. ATP is readily available in the form of a single unit that provides a consistent, appropriate amount of energy. The cell would need to tailor each reaction to each energy source if it harvested energy from different compounds. b. ATP energy cannot activate the ROS dependent stress response whereas food molecules are responsible for activating ROS. c. ATP is low in energy, but food molecules possess higher levels of energy that cells can use. d. ATP is readily available to cells, unlike compunds that have to first be phopphorylated $\quad$ in order to release their energy.

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James S.