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Question At the start of an experiment, there are 60 grams of a substance present. A researcher will use the function $r(h) = \frac{3h+50}{h}$ to estimate the number of grams of the substance present $h$ hours after the experiment begins, where $h > 1$. According to this function, which of the following is closest to the number of grams of the substance that will remain 5 days after the experiment begins? 01 03 05 010

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Which of the following is the correct acceleration vector for a truck that is moving at a constant speed as it moves in the +x direction? a = 0 m/s2

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8. Following are the $^1H$ and $^{13}C$ spectra for two isomeric bromoalkanes, A and B (compound B is on the following page) with molecular formula $C_4H_9Br$. Draw their structure. $^1H$ A $^{13}C$ A $CH_2$ 2.05 $CH_2$ 2.00 1.08 6.08 3.5 3.0 2.5 2.0 1.5 1.0 $CDCl_3$ (Solvent) 95 90 85 80 75 70 65 60 55 50 45 40 35 30 25 20 15 10

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Ruby, 48 takes a 30,000 distribution from his IRA and pay some of his daughters $56,000 qualified educational expenses at an eligible educational institute. His daughter paid $35,000 of her expenses with a tax free scholarship. How much of Rudy Rudy‘s IRA distribution is subject to 10% tax and early distributions A.$9000 B.$21,000 C. $26,000 or D $30,000.

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Which one of the following compounds is an isomer of CH3CH2CH2CH2OH? Group of answer choices CH3CH2CH2OH

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Purchases for May were $100,000, while expected purchases for June and July are $110,000 and $125,000, respectively. All purchases are paid 25% in the month of purchase and 75% the following month. June payments for purchases are budgeted at ________. $107,500 $110,000 $121,250 $102,500

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In Moravec's Paradox, what is the result that may happen in the future, as outlined in the paradox? Group of answer choices Humans may be left with lower-paying jobs Humans do not care about AI AI cannot replace any human jobs Humans can play chess better than an AI

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11) [12] A particle of mass m is attached between two identical springs on a horizontal frictionless table. Both springs have spring constant $k$ and are initially un-stretched.\\ \\ If the particle is pulled a distance $x$ along a direction perpendicular to the initial configuration of the springs, the force exerted by the springs on the particle is given by:\ $F = -2kx \left(1 - \frac{L}{\sqrt{x^2 + L^2}}\right)$\ a) Determine the amount of work done by this force in moving the particle from $x = A$ to $x = 0$.\ b) Using the fact that $U(0) = 0$, show that the potential energy of the system is\ $U(x) = \frac{1}{2}kx^2 + 2kL\left(L - \sqrt{x^2 + L^2}\right)$\ c) Make a plot of $U(x)$ vs $x$ and identify all equilibrium points using $k = 100$ and $L = 10$.\ d) Assume that $m = 1.81$ kg, $L = 1.20$ m and $k = 40.0$ N/m. If the particle is pulled 0.500 m to the right and then released, what is its speed when it reaches the equilibrium point $x = 0$?

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Which type of protein structure results from the association in a protein of two or more polypeptide chains? Tertiary Quaternary Secondary Primary

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True or False (Put “T” in parentheses for correct ones and “F” in parentheses for wrong ones; 2 points for each question, 10 points in total） 5. It is possible to have decreasing marginal products for all inputs, and yet have increasing returns to scale. ( T ) 6. A profit maximized firm is also cost minimized. ( T ) 7. In long-run equilibrium of a competitive industry, no firm will be losing money. ( T ) 8. The demand curve 3 q p p ( ) 12 − = has a constant price elasticity. ( T ) 9. A monopoly will never provide a Pareto efficient level of output. ( F )

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