Numerade

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A Norman window is constructed by adjoining a semicircle to the top of a rectangular window. If the perimeter of a Norman window is 35 feet, find the width $x$ that yields the maximum area. (No rounding. Enter an exact answer.) $x = \boxed{}$ ft

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Multiply and simplify. \[ \frac{3}{5} t^{3}\left(10 t^{2}+25 t+1\right)= \]

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When a utilitarian like W. D. Ross advocates "the greatest happiness for the greatest number," we must consider unhappiness or pain as well as happiness. Group of answer choices True False

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Which of the following statements is true? All of these are true. There is a genetic component to alcoholism. The cause of alcoholism has been determined as a result of scientific research. In families with histories of alcoholism, daughters of alcoholic fathers have the greatest risk of becoming dependent on alcohol.

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REF: The IS model discussed in class. A change in ___ generates a movement along the IS curve; an increase in ___ increases ___ at any given value of R. An increase in ___ shifts ___ the IS curve. Select one: a. R , r , output, aggregate demand, out b. r , R , potential output, aggregate demand, in c. marginal productivity of capital, r , output, investment, out d. R , r , potential output, aggregate demand, to the left e. R , r , potential output, aggregate investment , to the right

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What the index of the last cell in list? list =[1,-9,3,10] 0 -1 3 4 00 4 3 : O 0 1ist = [1, -9, 3.10] What the index of the last cell in list?

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when consumers save some of their income, what can save say's law?

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2. The yield strength of the material follows normal distribution: $S_y \sim N(61000,6000)psi$. The length of the bar is $L = 12 \pm 0.010$. A round bar of this material is subjected to axial static load which follows the normal distribution: $F_a \sim N(5000,450)lb$. The Young's modulus of the material follows normal distribution: $E \sim N(29 \times 10^6, 5.8 \times 10^5)psi$. It is assumed that the round bar will have the dimension tolerance $\pm 0.005$" (1) Design the component with the reliability of 0.99. (2) Design the component with the reliability of 0.99 and the maximum allowable axial deflection is 0.030".

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Suppose that a supplier offers to license a technology that reduces this firm's marginal cost by 9% (from 2Q to 1.82Q). The cost of the license is $500 per year. Should the firm buy the license?

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If the price elasticity of supply is 0.5 and the quantity supplied decreases by 6%, then the price must have decreased by 3%. a. True b. False

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antonia s.