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32 Multiple Choice 1 point In 1848, Horace Mann, often referred to as the father of public education, called education an instrument of social control. the opiate of the masses. an essential component of democratic societies. the great equalizer.

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Solve the polynomial equation by factoring and then using the $3x^3 + 2x^2 = 27x + 18$

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Nvidia operates a website that links experienced doctors with customers. Doctors post their rates and qualifications on the website, and Nvidia receives 25% of the fee paid to the doctors in exchange for identifying potential customers. A customer contacts Nvidia and arranges to pay a doctor $1,500 for his service. Nvidia's income statement would include the following with respect to this transaction:

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Solve the initial value problem.\\ $\frac{dy}{dt} = 9t \cos^2 y$, $y(-2) = \frac{\pi}{4}$ \\ The solution is $oxed{}$ . \\ (Type an implicit solution. Type an equation using t and y as the variables.)

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Alyssa's opportunity cost of reading 60 pages of history is 80 pages of astronomy.

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*** Extra Credit *** 17. The two set of pennies shown are the same height. a. Explain which as the greatest surface area and why. b. Explain which has the greatest volume and why.

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In making ethical decisions, managers and executives will primarily rely on which of the following? ? The gut feeling of the most senior leader, who likely has the most experience ? Compliance with the minimum level of regulatory requirements involved ? The public backlash that may happen if consumers are not happy ? Analysis of alternatives identified during the discussion phase of the process

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Use properties of logarithms to expand the logarithmic expression as much as possible. $\log_w\left(\frac{13x}{4}\right)$ A. $\log_w 9x$ B. $\log_w 13 + \log_w x + \log_w 4$ C. $\log_w 13x - \log_w 4$ D. $\log_w 13 + \log_w x - \log_w 4$

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8. Nominal GDP is equal to: A. current prices * base year output. B. current prices * current output. C. base prices * base year output. D. base year prices * current output. E. current output * base year prices. 9. What would happen in the market for electric cars if the government started to tax more heavily the production of such cars and the price of gasoline went up? A. The equilibrium price will go up and the equilibrium quantity will go up. B. The equilibrium price will go down and the equilibrium quantity will be indeterminate. C. The equilibrium price will be indeterminate and the equilibrium quantity will go up. D. The equilibrium price will go up and equilibrium quantity will be indeterminate. E. The equilibrium price will be indeterminate and the equilibrium quantity will go down. 10. Consider a market initially described by the following two equations: P = 2 + Q and P = 8. Now, the government introduces a $1 tax for every unit of the product sold by a business in this market. The amount of economic inefficiency, as measured by deadweight loss, created by this tax is: A. $0. B. $0.50. C. $1. D. $5. E. Impossible to calculate. 11. A drought in California (that produces 82% of the world's almonds) for the past year increases the cost of irrigation because each almond requires 1.1 gallons of water to produce. At the same time, a new technology using micro sprinklers for irrigation and soil moisture monitoring systems is devised in order to conserve water. What will happen in the market for almonds with equilibrium price and quantity? A. Both equilibrium price and quantity are ambiguous. B. Equilibrium price increases and equilibrium quantity is ambiguous. C. Equilibrium price is ambiguous and equilibrium quantity decreases. D. Both equilibrium price and quantity are increasing. E. Equilibrium price is ambiguous while equilibrium quantity increases.

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EXAMPLE 3\u201313 Use the unit output method to find $v_o$ in the circuit shown in Figure 3\u201331(a). SOLUTION: We start by assuming $v_o = 1$, as shown in Figure 3\u201331(b). Then, using Ohm's law, we find $i_o$. $i_o = \frac{v_o}{20} = 0.05$ A 10 $\Omega$ 10 $\Omega$ $+$ $+$ 5 V 15 $\Omega$ 20 $\Omega$ $v_o$ (a)

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