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Mark purchases 45 shares of stock in Coca Cola for a $40.31 per share on December 1, 2016. On October 31, 2021, he sells all 45 shares for a price of $48.75 per share. On Mark's income tax return, he will report $48.75 as ordinary income $2,193.75 as ordinary income $8.44 as capital gains $1,813.95 as capital gains $2,193.75 as capital gains $48.75 as capital gains $379.80 as ordinary income $40.31 as ordinary income $40.31 as capital gains $1,813.95 as ordinary income $379.80 as capital gains $8.44 as ordinary income

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[0/5 Points] DETAILS MY NOTES KATZPSEF1 11.P.079. PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER A cart filled with sand rolls at a speed of $ v_{\text {cart }}=1.4 \mathrm{~m} / \mathrm{s} $ along a horizontal path without friction. A ball of mass $ m=2.4 \mathrm{~kg} $ is thrown with a horizontal velocity of $ v_{\text {ball }}=9.1 \mathrm{~m} / \mathrm{s} $ toward the cart as shown in the figure below. The ball gets stuck in the sand. What is the velocity of the cart after the ball strikes it? The mass of the cart is 13 kg . (Assume the positive $ x $ direction is to the right. Express your answer in vector form.) $ \square $ $ \mathrm{m} / \mathrm{s} $ Need Help? Read It

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All of the following are true regarding natural killer (NK) cells EXCEPT that they A destroy cells via phagocytosis. B are a type of lymphocyte. C release toxic substances that induce cellular death. D have the ability to kill infected host cells.

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draw the structure of naproxen, sorbitol and acetylsalicylic acid and label chemically equivalent hydrogen atoms. like Ha,Hb.Hc,e.t.c. This should be gotten from their respective NMR's i believe

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A student evaluates a weight loss program by calculating the number of times she would need to climb a 13.0 m high flight of steps in krder to lose one pound (0.45 kg) of fat. Metabolizing 1.00 kg of fat can releasee 3.77 x10^7 J of chemical energy and the body can convert about 20.2% of this into mechanical emergy (the rest goes into internal energy.) A) How much mechanical energy (in J) can the body produces from 0.450 kg of fat? B) how many trips up the floght of steps are required for the 82.0kg student to lose 0.450 kg of fat? Ignore the relatively small amount of energy requires to return down the stairs.

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Suppose you want to have $400,000 for retirement in 25 years. Your account earns 10% interest. Round your answers to the nearest cent. a) How much would you need to deposit in the account each month? $ 301.47 b) How much interest will you earn?

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(b) Find the equation for the tangent plane to the graph of $z = f(x, y) = y^2e^x$ at $(0, 1)$. Use this equation to approximate $f(0.2, 1.1)$.

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Calculate the Lorentz factor for an object moving relative to Earth at 28 \times 10^3 km/h (orbital speed of the International Space Station). \gamma - 1 = Calculate the Lorentz factor for an object moving relative to Earth at 0.1$c_0$. \gamma - 1 =

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a. Calculate the bulk density of the powder, DB, the porosity (pore volume per unit mass), P, and the % voidage for a powder sample under the following three packing conditions. The ppowder has a true density of 1.15 g/cm³. 1. Condition 1 (loose packing): a 35 gram sample of the powder is poured into a 100 ml graduated cylinder (to fill the cylinder). 2. Condition 2 (moderate packing): a 35 gram sample of the powder is poured into a 100 ml graduated cylinder (to fill the cylinder). The cylinder containing the loosely packed powder is tapped on the surface of the lab bench 3 times. The fill volume of the cylinder recorded is 45 ml i.e. the packed powder goes up to the 45ml line of the graduated cylinder. 3. Condition 3 (close packing): the cylinder containing the moderately packed ppowder from condition 2 is tapped on the surface of the lab bench an additional 47 times. The fill volume of the cylinder recorded is 38 ml.

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Given the following system: \begin{equation*} \dot{x} = \begin{bmatrix} -2 & -3 & 5\\ 4 & 5 & -5\\ 3 & 4 & -3 \end{bmatrix} x + \begin{bmatrix} 0\\ 1\\ 1 \end{bmatrix} u, \quad y = \begin{bmatrix} -2 & -5 & 5 \end{bmatrix} x. \end{equation*} a. Find the characteristic polynomial of the system. b. If possible, find the controller canonical form and the observer canonical form for the system. c. Determine the transfer function d. Comment on the system's controllability and observability in relation to the properties of the transfer function.

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