Numerade

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In a particular game, a fair die is tossed. If the number of spots showing is either 4 or 5 you win $1; if the number of spots showing is 6 you win $4; and if the number of spots showing is 1,2 , or 3 , you win nothing. If it costs you $1 to play the game, the probability that you break even is: 0 1/6 1/3 (2)/(3)

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how long will it take a car to travel 240m if it starts at 10 m/s and accelerates at 3m/s^2

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34. 1.0 × 104 mol I2 and 4.0 × 10-3 mol KI are dissolved in water at 25 °C to give 100.0 mL of solution. What is the equilibrium concentration of I in this solution?

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Establish the identity. \frac{1 - \cos \theta}{\sin \theta} + \frac{\sin \theta}{1 - \cos \theta} = 2 \csc \theta Write the left side of the expression with a common denominator. Do not expand the numerator. \frac{\Box}{\sin \theta (1 - \cos \theta)}

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A mobile app's total income at Uraganxic investment started with a balance of 95,000 value in the year 2002. The balance increased to 170000 value by the year 2010. Assume the growth is exponential, not linear. a) What was the annual growth rate between 2002 and 2010? b) Assume that the balance continues to grow by the same percentage. Create an exponential function that represents the balance of this account. Then use your function to find the balance in the year 2013

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Consider a power supply system that has two components (Net and Battery) connected in a Cold-Standby configuration: The primary power comes from a normal power network (Net). The Net's lifetime distribution follows an exponential distribution with a failure rate =(1)/(400) failures/day; In addition to that, a battery is kept charged and is used if necessary. The Battery's lifetime distribution follows an exponential distribution with a failure rate =(1)/(50) failures/day. For a service time of 100 days, calculate the overall system reliability by assuming the switching is not perfect with a reliability of 0.95 and the standby component is instantaneously switched on when the first component fails. connected in a Cold-Standby configuration: The primary power comes from a normal power network (Net).The Net's lifetime distribution follows an exponential distribution with a failure rate=1/400 failures/day; In addition to that, a battery is kept charged and is used if necessary The Battery's lifetime distribution follows an exponential distribution with a failure rate=1/50 failures/day For a service time of 100 days, calculate the overall system reliability by assuming the switching is not perfect with a reliability of 0.95 and the standby component is instantaneously switched on when the first component fails Net Input Output Battery Switch

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The value (cost) of the means of production and raw materials that are used up in producing a commodity gets included in the value of the commodity. Thoughts from Marx.

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Provide the missing data in the following table for a distributor of martial arts products: (Enter "Turnover" and "ROI" answers to 1 decimal place.) Alpha Division Bravo Charlle $ 402,000 Sales Net operating income $ 40,200 $ 46,125 Average operating assets $ 352,000 Margin 5% % 9% Turnover 6.0 Return on investment (ROI) % 30.0% 22.5%

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12. Which of the following factors will not shift the aggregate demand curve? A. A lower nominal interest rate. B. A decrease in the expected real income. C. An increase in the price level. D. An increase in net taxes. 13. Which of the following assumptions can explain the upward slope of the short-run aggre- gate supply curve? A. When the price level rises, both the expected price level and the nominal wage remain unchanged in the short run. B. When the price level rises, the nominal wage adjusts in the short run. C. When the price level rises, the expected price level adjusts in the short run. D. When the price level rises, the level of potential output also rises in the short run. 14. According to the sticky-wage hypothesis, when firms and workers lower their expectation on the price level, A. nominal wage rate lowers, shifting the short-run aggregate supply curve to the left. B. nominal wage rate rises, shifting the short-run aggregate supply curve to the right. C. nominal wage rate lowers, shifting the short-run aggregate supply curve to the right. D. nominal wage rate rises, shifting the short-run aggregate supply curve to the left. 15. An improvement in production technology will A. shift the long-run aggregate supply curve to the right, while the short-run aggregate sup- ply curve remains unchanged. B. shift the short-run aggregate supply curve to the right, while the long-run aggregate sup- ply curve remains unchanged. C. shift the aggregate demand curve to the right. D. shift both the long-run and short-run aggregate supply curves to the right. 16. In the long-run equilibrium of the aggregate economy, which of the following is false? A. The actual unemployment rate equals the natural rate of unemployment. B. The expected price level equals the price level. C. The real GDP equals the potential GDP. D. The price level is indeterminate in the equilibrium.

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Page 5 (you must use either computer graphics or graph paper) Make a two dimensional plot of Torque (calibrate from zero to 5000 Nm) on the y-axis versus speed (calibrate from zero to 1800 rpm) on the x-axis. The mechanical load on the machine (motor mode) is... $T_m = 0.035\omega_R^2$ Nm; $\omega_R$ in rad/s Make four plots (all on the same graph): $T_m$ (7 points: speeds of 0, 300, 600, 900, 1200, 1500, and 1800 rpm) $T_{DEV}$ @ k = 1.0 (2 points @ speeds of $\omega_{MT}$, $\omega_S$); sketch $T_{DEV}$ for $\omega_{MT} < \omega_R < \omega_S$ $T_{DEV}$ @ k = 0.7 (2 points @ speeds of $\omega_{MT}$, $\omega_S$); sketch $T_{DEV}$ for $\omega_{MT} < \omega_R < \omega_S$ $T_{DEV}$ @ k = 0.3 (2 points @ speeds of $\omega_{MT}$, $\omega_S$); sketch $T_{DEV}$ for $\omega_{MT} < \omega_R < \omega_S$ Graphically determine the run speed for each "k" setting (prominently mark the three operating points).

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