Numerade

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Which of the following statements is true? 1. Allocating common fixed costs to segments on segmented income statements increases the usefulness of such statements. 2. If a cost must be arbitrarily allocated in order to be assigned to a particular segment, then that cost should be considered a common cost. Multiple Choice Only statement 2 is true. Only statement 1 is true. Neither statement is true. Both statements are true.

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For materials, the manufacturer has 750 m² of cotton textile and 1000 m² of polyester. Every pair of pants (1 unit) needs 1m² of cotton and 2m² of polyester. Every jacket needs 1.5m² of cotton and 1m² of polyester. The price of the pants is fixed at $50 and the jacket, $40. What is the number of pants and jackets that the manufacturer must give to the stores so that these items obtain a maximum sale? Also, determine the maximum sale amount. Use graphical method.

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In 2021, Parker LLC reacquired 4,000 shares of its common stock as treasury shares at $65 per share. In 2022, Parker LLC sold 1,000 shares of the treasury stock at $85 per share. Which of the following would be included in the 2022 entry?

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A horizontal demand curve shows that demand for a good is ________. ? perfectly elastic ? perfectly inelastic ? moderately elastic ? unit-elastic ? moderately inelastic

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7.7 If X is exponential with parameter \lambda, what are the density and distribution of Y = X³? 7.8 If X \sim U(-1,1):

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Set up a double integral that represents the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = e−x sin(y) R = {(x, y): x2 + y2 ≤ 25} −5 − 25 − x2 dy dx Approximate the integral f(x, y) dA by dividing the rectangle R with vertices (0, 0), (2, 0), (2, 4), and (0, 4) into eight equal squares and finding the sum iterated integral and compare it with the approximation. /(x+y)dy dx (x y)Ai ] = xp Ap (K + x)

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Q2) (35 points) The solid shaft having a diameter $d = 50$ mm, $a = 1$ m, $b = 6$ m, $c = 2$ m, and shear modulus $G = 8$ GPa, is fixed at end D. If the rotation angle at C (clockwise when viewed from right side) is 0.1 rad, and applied torque $T_1 = 285$ N.m, determine the torque $T_2$ a. While end A is free (allowed to rotate). b. While end A is fixed. Also, c. calculate the maximum shear stress at segments BC while end A is fixed.

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1. (10 points) A common problem in design is that of a solid circular shaft of diameter $d$ transmitting a bending moment $M$ and a torque $T$ simultaneously. Show that 1) The maximum shear stress (which is also the Tresca stress) is given by $\tau_{max} = \frac{16}{\pi d^3} \sqrt{M^2 + T^2}$ (1) 2) Compute the maximum von Mises stress, and compare that with two times of the Tresca stress found in the previous part

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2. [1 mark] A projectile is launched upwards at an angle ? to the horizontal with an initial momentum $p_0$ and an initial energy $E_0$. Air resistance is negligible. What are the momentum and total energy of the projectile at the highest point of the motion? Momentum Energy A. $< p_0$ $E_0$ B. $p_0$ $E_0$ C. $p_0$ $< E_0$ D. $< p_0$ $< E_0$

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10.1 4.00 5.00 0.50 2.00 2.00 0.50 0.50 2.00 45° 1.00 1.00 30° 2.00 0.50 0.50

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aaron m.