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Patrick ACT

Patrick A.

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Taimoor Shabbir verified

Numerade educator

Calculate the percentage by mass of the indicated element in the following compounds: $(\mathbf{a})$ carbon in acetylene, $\mathrm{C}_{2} \mathrm{H}_{2}, \mathrm{a}$ gas used in welding; $(\mathbf{b} )$ hydrogen in ascorbic acid, $\mathrm{HC}_{6} \mathrm{H}_{7} \mathrm{O}_{6}$ also known as vitamin $\mathrm{C} ;(\mathbf{c})$ hydrogen in ammonium sulfate, $\left(\mathrm{NH}_{4}\right)_{2} \mathrm{SO}_{4},$ a substance used as a nitrogen fertilizer; $(\mathbf{d})$ platinum in $\mathrm{PtCl}_{2}\left(\mathrm{NH}_{3}\right)_{2},$ a chemotherapy agent called cisplatin; $(\mathbf{e})$ oxygen in the female sex hormone estradiol, $\mathrm{C}_{18} \mathrm{H}_{24} \mathrm{O}_{2} ;(\mathbf{f})$ carbon in capsaicin, $\mathrm{C}_{18} \mathrm{H}_{27} \mathrm{NO}_{3},$ the compound that gives the hot taste to chili peppers.

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Ma Ednelyn Lim verified

Numerade educator

Solve the following equation for the unknown value, $T$ $(4.184)(244)(T-292.0)+(0.449)(88.5)(T-369.0)=0$

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INSTANT ANSWER

An Earth satellite has an elliptical orbit described by $$ \frac{x^{2}}{(5000)^{2}}+\frac{y^{2}}{(4750)^{2}}=1 $$ (All units are in miles.) The coordinates of the center of Earth are (16, 0). a. The perigee of the satellite’s orbit is the point that is nearest Earth’s center. If the radius of Earth is approximately 4000 miles, find the distance of the perigee above Earth’s surface. b. The apogee of the satellite’s orbit is the point that is the greatest distance from Earth’s center. Find the distance of the apogee above Earth’s surface.

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INSTANT ANSWER

For the reaction depicted in the molecular scenes, X is red and Y is green. (a) Write a balanced equation. (b) Determine the sign of $\Delta S_{\mathrm{rxn}}$ (c) Which species has the highest molar entropy?

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Umar Sohail Qureshi verified

Numerade educator

Intense white light is incident on a diffraction grating that has 600 . lines/mm. (a) What is the highest order in which the complete visible spectrum can be seen with this grating? (b) What is the angular separation between the violet edge $(400 . \mathrm{nm})$ and the red edge $(700 . \mathrm{nm})$ of the first-order spectrum produced by the grating?

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Eduard Sanchez verified

Numerade educator

Forces $\vec{F_1}$ and $\vec{F_2}$act at a point. The magnitude of $\vec{F_1}$ is 9.00 N, and its direction is 60.0$^\circ$ above the $x$-axis in the second quadrant. The magnitude of $\vec{F_2}$ is 6.00 N, and its direction is 53.1$^\circ$ below the $x$-axis in the third quadrant. (a) What are the $x$- and $y$-components of the resultant force? (b) What is the magnitude of the resultant force?

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Evelyn Cunningham verified

Numerade educator

The weights of laboratory cockroaches follow a Normal distribution with mean 80 grams and standard deviation 2 grams. About what percent of the cockroaches have weights between 76 and 84 grams? (a) $99.7 %$ (b) $95 %$ (c) $68 %$ (d) $47.5 %$ (e) $34 %$

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INSTANT ANSWER

Show that if $n$ is an integer and $n^{3}+5$ is odd, then $n$ is even using a) a proof by contraposition. b) a proof by contradiction.

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INSTANT ANSWER

For Exercises 2 through $12,$ perform each of these steps. Assume that all variables are normally or approximately normally distributed. a. State the hypotheses and identify the claim. b. Find the critical value(s). c. Compute the test value. d. Make the decision. e. Summarize the results. Use the traditional method of hypothesis testing unless otherwise specified. Obstacle Course Times An obstacle course was set up on a campus, and 8 randomly selected volunteers were given a chance to complete it while they were being timed. They then sampled a new energy drink and were given the opportunity to run the course again. The "before" and "after" times in seconds are shown. Is there sufficient evidence at $\alpha=0.05$ to conclude that the students did better the second time? Discuss possible reasons for your results. $$ \begin{array}{l|ccccccc}{\text { Student }} & {1} & {2} & {3} & {4} & {5} & {6} & {7} & {8} \\ \hline \text { Before } & {67} & {72} & {80} & {70} & {78} & {82} & {69} & {75} \\ \hline \text { After } & {68} & {70} & {76} & {65} & {75} & {78} & {65} & {68}\end{array} $$

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Umar Sohail Qureshi verified

Numerade educator

You are designing a delivery ramp for crates containing exercise equipment. The 1470-N crates will move at 1.8 m/s at the top of a ramp that slopes downward at 22.0$^\circ$. The ramp exerts a 515-N kinetic friction force on each crate, and the maximum static friction force also has this value. Each crate will compress a spring at the bottom of the ramp and will come to rest after traveling a total distance of 5.0 m along the ramp. Once stopped, a crate must not rebound back up the ramp. Calculate the largest force constant of the spring that will be needed to meet the design criteria.

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