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Question 7 Matteo owns a business making and selling jackets. When he makes 4 jackets, his total costs are $2274, and when he makes 7 jackets, his total costs are $2517. (a.) If Matteo's total cost, C, is a linear function of x jackets produced, determine the linear function C(x). (b.) How much are Matteo's fixed costs? (c.) How much does each jacket cost Matteo to make? (d.) If the selling price per jacket is $94, determine the number of jackets Matteo must make and sell to break even.

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Suppose that f(x) and g(x) are differentiable functions such that f(8) = 2, f'(8) = 9, g(8) = 5, and g'(8) = 1. Find h'(8) when $$h(x) = \frac{f(x)}{g(x)}$$. h'(8) = (Simplify your answer.)

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5. The probability a student at the University of Texas has been to the Air and Space Museum downtown is found to be 51%. a. For 15 randomly chosen students, what is the probability of sampling and getting exactly 8 that have been to that museum in any order of sampling? b. What shape would you expect the probability histogram to have? Why?

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1. [-/5.88 Points] DETAILS MY NOTES SCOLALG8 3.6.001. If the rational function $y = r(x)$ has the vertical asymptote $x = 9$, then as $x \rightarrow 9^+$, either $y \rightarrow$ (smaller value) or $y \rightarrow$ (larger value).

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For a given amount of residuals, when we reduce the amount that is emitted into one environmental media, ____. A. the amounts going into other media must increase B. production of goods and services must decrease C. the ambient quality of all surrounding media increases D. it is impossible to specifically state what happens to other environmental media

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What do you think led to the disorder? Group of answer choices kidney failure Hyperventilation COPD Excess antacid intake for GERD

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The cell depicted here has 2 signaling pathways with MEMBRANE SPANNING repectors, red which can bind protein signal A and brown which can bind lipid signal B. If binding occurs the down stream signaling pathway is activated resulting in the activation of proteins P1 and P2. If this cell is treated simultaneously with signals A and B as well as Chemicals 1 and 2 we would expect: Group of answer choices Chemical 1 surpresses P1 activity and enhances P2 activity. Chemical 1 surpresses both P1 and P2 activity. Chemical 1 enhances P1 activity and surpresses P2 activity. Chemical 1 enhances both P1 and P2 activity.

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Given the following beam, determine the location, value, and direction of the maximum deflection that occurs along its length. General data: Load: 6 T.m Load distribution: 7.50 Tn/m Modulus of Elasticity (E): 2173700 Tn/m^2 Shear force (V): 0.30 x 0.60 m Moment of inertia (I): 0.0054 m^4 Length of beam: 6m (Use integration method)

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Vaughn Corporation splits its common stock 2 for 1, when the market value is $99 per share. Prior to the split, Vaughn had 100000 shares of $20 par value common stock issued and outstanding. After the split, the par value of the stock remains the same. is reduced to $40 per share. is reduced to $2 per share. is reduced to $10 per share.

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Estimate the integral from 2 to 3 2/x dx using left endpoints for n=5 approximating rectangles

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eva c.