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Pamela Ochoa

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Bryan Valdivia verified

Numerade educator

Arm muscles and leg muscles are arranged in antagonistic pairs. How does this affect their functioning? a. It provides a backup if one of the muscles is injured. b. One muscle of the pair pushes while the other pulls. c. A single motor neuron can control both of them. d. It allows the muscles to produce opposing movements.

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Solar Energy The solar electric generating systems at Kramer Junction, California, use parabolic troughs to heat a heat-transfer fluid to a high temperature. This fluid is used to generate steam that drives a power conversion system to produce electricity. For troughs 7.5 feet wide, an equation for the cross section is $16 y^{2}=120 x-225$ (a) Find the intercepts of the graph of the equation. (b) Test for symmetry with respect to the $x$ -axis, the $y$ -axis, and the origin.

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For each of these statements find a domain for which the statement is true and a domain for which the statement is false. a) Everyone is studying discrete mathematics. b) Everyone is older than 21 years. c) Every two people have the same mother. d) No two different people have the same grandmother.

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Stephen Ho verified

Numerade educator

If 500 . g of water is added to 75 $\mathrm{g}$ of a $2.5-m$ NaCl solution, what is the mass percent of $\mathrm{NaCl}$ in the diluted solution?

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Teresa Fuston verified

Numerade educator

Windshield wiper The arm and blade of a windshield wiper have a total length of 34 inches. If the blade is 25 inches long and the wiper sweeps out an angle of $120^{\circ},$ how much window area can the blade clean?

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David Collins verified

Numerade educator

Consider the gas-phase hydration of hexafluoroacetone, $\left(\mathrm{CF}_{3}\right)_{2} \mathrm{CO} :$ $$\left(\mathrm{CF}_{3}\right)_{2} \mathrm{CO}(g)+\mathrm{H}_{2} \mathrm{O}(g) \frac{k_{\mathrm{f}}}{k_{\mathrm{r}}}\left(\mathrm{CF}_{3}\right)_{2} \mathrm{C}(\mathrm{OH})_{2}(g)$$ At $76^{\circ} \mathrm{C},$ the forward and reverse rate constants are $k_{\mathrm{f}}=0.13 \mathrm{M}^{-1} \mathrm{s}^{-1}$ and $k_{\mathrm{r}}=6.2 \times 10^{-4} \mathrm{s}^{-1} .$ What is the value of the equilibrium constant $K_{\mathrm{c}} ?$

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David Collins verified

Numerade educator

A quantity of N2 occupies a volume of 1.0 L at 300 K and 1.0 atm. The gas expands to a volume of 3.0 L as the result of a change in both temperature and pressure. Find the density of the gas at these new conditions.

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Darshan Maheshwari verified

Numerade educator

A toy rotates at a constant 5 rev/min. Is its angular acceleration positive, negative, or zero?

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A factory makes custom sports cars at an increasing rate. In the first month only one car is made, in the second month two cars are made, and so on, with n cars made in the nth month. a) Set up a recurrence relation for the number of cars produced in the first n months by this factory. b) How many cars are produced in the first year? c) Find an explicit formula for the number of cars produced in the first n months by this factory.

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Prabhat Tyagi verified

Numerade educator

Hydrogen atoms are placed in an external magnetic field. The protons can make transitions between states in which the nuclear spin component is parallel and antiparallel to the field by absorbing or emitting a photon. What magnetic-field magnitude is required for this transition to be induced by photons with frequency 22.7 MHz?

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