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which of the following taxpayers is exempt from the exclusive-use test and may be eligible to deduct business-use-of-home expenses? 1. aaron. he is self-employed architect, 2 Jane. She is employed as a financial analyst, 3. Kayla. She is self-employed interior designer, 4. Oliver. He is a self-employed, multi-level sales

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The matrices A, B, C, D, E, F, G, and H are defined as follows. $A = \begin{bmatrix} 8 & -3 \\ -1 & -5 \end{bmatrix}$ $B = \begin{bmatrix} 1 & 3 & -1 \\ 5 & -2 & 1 \end{bmatrix}$ $C = \begin{bmatrix} -4 & 1 & 5 \\ 5 & -4 & 0 \end{bmatrix}$ $D = \begin{bmatrix} 4 & 6 \end{bmatrix}$ $E = \begin{bmatrix} 1 \\ 3 \\ 0 \end{bmatrix}$ $F = \begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix}$ $G = \begin{bmatrix} -8 & 8 & 2 \\ 0 & 7 & 10 \\ -10 & 1 & 1 \end{bmatrix}$ $H = \begin{bmatrix} 2 & 0 \\ 3 & -2 \end{bmatrix}$ Carry out the indicated algebraic operation. (If not possible, enter IMPOSSIBLE in any cell of the matrix.) (a) $3B + 2C$ (b) $2H + D$

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Let {G=(V,E), s, t in V, c(e) for e in E} be a network. For a given valid flow f, you are told that the edge e from node u to node v satisfies f(e) = c(e) (that is, the edge e is saturated). Which of the following are always true? 1. The reversed edge from node v to node u is in the residual network of G^f. 2. The size of the flow f is at least c(e) 3. All paths from the source s to the sink t must traverse the edge e. 4. There exists a path from s to t with capacity equal to c(e).

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Question 32 According to the concepts of existentialism, Mitwelt refers to: relating to people as people. the world of nature and natural law. one's relationship with oneself. biological drives such as hunger and sleep.

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2. Springs can store potential energy. Hooke's Law, $F = -kx$, states that extending a spring with spring constant k a distance x requires a force F to be applied. If we remember that $F = - \frac{dU}{dx}$, where U is potential energy, then what is the maximum amount of mechanical work that can be extracted from a mass on a spring with spring constant $k = 400$ Newton/meter (a Newton is 1 kg meter sec$^{-2}$), that was extended 2 meter from its equilibrium position? To get you started, use a bit of calculus by integrating $F = - \frac{dU}{dx}$ to obtain the potential energy for the extension of the spring as a function of x.

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Q4- Find the areas of the surfaces of revolution obtained by rotating $y = 3x - 1$ from P(1,2) to Q(2,5) about the x-axis.

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Consider a set of two plane glass plates that are placed on top so that they form a thin wedge of air between them. Calculate the angle between the plates to observe 10 interference fringes per meter when 5000 A incident normally on the plates. Answer Choices: a. 0.20° b. 0.18° c. 0.14° d. 0.16° Answer: ___________

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d. A sharp drop in oil prices (assume the change in oil prices is permanent and no policy actions are taken).

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Required information [The following information applies to the questions displayed below.) Tracy Company, a manufacturer of air conditioners, sold 200 units to Thomas Company on November 17, 2021. The units have a list price of $550 each, but Thomas was given a 25% trade discount. The terms of the sale were 2/10, n/30. Required: 1. Prepare the journal entries to record the sale on November 17 (ignore cost of goods) and collection on November 26, 2021, assuming that the gross method of accounting for cash discounts is used. 2. Prepare the journal entries to record the sale on November 17 (ignore cost of goods) and collection on December 15, 2021, assuming that the gross method of accounting for cash discounts is used. Complete this question by entering your answers in the tabs below. Req 1 Req 2 Prepare the journal entries to record the sale on November 17 (ignore cost of goods) and collection on November 26, 2021, assuming that the gross method of accounting for cash discounts is used. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field.) View transaction list Journal entry worksheet <1 2 Record the sale of 200 units with a list price of $550, a 25% trade discount (if applicable), with terms of 2/10, n/30 under the gross method. >

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Question Five (28 marks): Point A, at elevation 2550m, is the entrance of a mine tunnel which bears N 60° E on a downward grade of 30%. A second tunnel entrance is located at point B which is 50m south, 60m east of A and 50m below A. This second tunnel bears N 45° E on an upward grade of 35%. Scale: 1:1000, vertical and horizontal. Problem: Determine the true length, bearing, and grade of the shortest connecting tunnel. What would be the elevation at both ends of the connecting tunnel?

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robert b.