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jacob clark

jacob c.

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Express the coefficient of x3 in (3x+14)12 in the form AB where B>0 and A and B are integers which have no common factors. what is the value of A and B

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Irvin cut a 47 in. wire into two pieces. The longer piece is 13 in. longer than the shorter piece. What is the length of the longer piece

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The enthalpy change when a strong acid is neutralized by strong base is -53.827 kJ/mol. If 127.576 mL of 0.525 M HI at 26.58\deg C is mixed with 158.743 mL of 0.571 M NaOH at 26.58\deg C, what is the maximum temperature reached by the resulting solution if the heat capacity of the calorimeter is 456 J/\deg C?Answer=____________\deg C

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. A vertically oscillating (moving up and down) spring: a) Will transfer energy between kinetic, gravitational potential, and elastic potential energy. b) Will transfer energy between kinetic and gravitational potential energy. c) Will transfer energy between gravitational potential and elastic potential energy. d) Will transfer energy between kinetic and elastic potential energy.

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Hedge funds are businesses that look for: ? assets whose market prices are "wrong" ? ugly landscaping to invest in ? other businesses that are can be purchased and sold in parts for a profit ? assets that are "unpriced" and need someone to set the market

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Verify Green's Theorem by evaluating both integrals $\int_C y^2 dx + x^2 dy = \iint_R \left(\frac{\partial N}{\partial x} - \frac{\partial M}{\partial y}\right) dA$ for the given path. C: rectangle with vertices (0, 0), (5, 0), (5, 8), and (0, 8) $\int_C y^2 dx + x^2 dy = $ $\iint_R \left(\frac{\partial N}{\partial x} - \frac{\partial M}{\partial y}\right) dA = $

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4. Find the centroid, $I_x$, and $I_y$ of the following object. 30 mm 40 mm 60 mm 100 mm 50 mm

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6. Predict the major organic product for each of the following reactions. Draw the condensed structural formulas for the products. Name the reactants and products (organic compounds only.) If there is no reaction, write NR. If a compound is a hemiacetal or acetal, don't name it - just label it as "hemiacetal" or "acetal." a) cat b) $CH_3$ $\text{OH}$ $CH_3-CH-CH-CH_2 + P_2O_5 \longrightarrow$ $CH_3$ $CH_3$ $CH_3$ c) $CH_3$ $H_2SO_4$ $180^oC$ d) $^1CH_3$ $^2CH_3$ $^3CH_3$ $^1CH_3$ $^4CH_3$ $CH_3-CH-CH-CH_2-CH_3$ $\text{OH}$ 4-methyl-2-hexanol $CrO_3$ $CH_3$ $CH_3$ $C-CH_2-CH$ $\parallel$ $O$ $CH_2CH_3$ 4-methyl-2-hexanone e)

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QUESTION ONE [20] Mondal (Ltd) that operate in the automobile industry is considering replacing a machine with a new one that requires a R4 200 000 investment. The operating cash inflows over the next 9 years will be R740 000 per annum and the cash inflow for the 10th year will be R220 000. Thereafter the machine will be sold for R400 000. The company uses straight-line depreciation. The cost of capital for projects of similar risk is 11%. Note: Average profit is R308 000 Ignore taxation. Required: 1.1 Assume a payback period of 6 years. Determine the payback period and state if the investment is acceptable or not. (5) 1.2 Determine the investment's Accounting Rate of Return (ARR). (3) 1.3 Briefly explain if the ARR is acceptable or not based on a target rate of return of 20% (3) 1.4 Calculate the net present value (NPV) and briefly comment on the viability of the proposed investment. Justify why the NPV method is the preferred choice for investment appraisals (9)

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QUESTION 21 Consider the LP below. The BFS ("comers") are (0,1) (0,3) (3,3/2) (10/3,1). The optimal solution is at x1 = 10/3 and x2 = 1. W coefficient of x1 (currently 6) for which this BFS remains optimal: max $z = 6x_1 + 2x_2$ s.t. $3x_1 + 2x_2 \le 12$ $x_1 + 2x_2 \le 6$ $x_2 \le 1$ $x_1, x_2 \ge 0$ $3 < c_1$ $3 \le c_1$ $1 \le c_1 \le 6$ $1 < c_1 < 6$ other (none of the above) QUESTION 22 consider the LP in the previous problem (Problem 21). What is the range of b2 the right hand side of the second constrain timal: b2 = 1 $1 \le b_2$ $0.5 \le b_2 \le 1$

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