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An expedition to Mars found the ruins of a civilization. The explorers were able to translate the mathematical equations:
5x² - 50x + 125 = 0
with the solutions: x = 5 and x = 8.
The x = 5 solution seemed okay, but x = 8 was puzzling. The problem should be because Martians were using a non-decimal number system. Therefore, "50" is not fifty, but "50" in base b (50b=5×b+0×1=5b). The explorers reflected on the way in which Earth's number system developed.
How many fingers would you say the Martians had? Hint: What should be the value of the base b such that both 5 and 8 are solutions of the equation?
If R2 = 2R1, R3 = 3R1 and the total power taken by the circuit is 480 watts. Calculate the power in each resistor
Determine the HV-side fuses needed to protect a 3x140kVA, 12470/208 YNyn0 distribution transformer bank. Show and explain step by step the procedure you employ to solve this question. Use the type K and type T fuse curves
Each pole of a 100kW, 250v flet-compound generator has a shunt field of 2000 turns and a series field of 7 turns. If the total shunt field resistance is 100 ohms
Calculate the S/N ratio for a receiver output of 4 V signal and 0.48 V noise both as a ratio and in decibel form. (69.44, 18.42dB)
An indiviual wishes to deposit an amount of money now and $100 every six months so that at the end of five years $1500 will have been accumulated. With interest 4% per year, compounded semiannually, how much should be deposited?
The Russian president and the Chinese counterpart need to come to an agreement by telephone. Neither can speak and understand each other's language. They need to employ translators. Compare this layered communication to OSI layers.
Evaluate the TL parameters. Include the effect of the earth as ideal. Do not incorporate the effect of the shield wires.
What approximate minimum BER is required for voice signals, data signals and what is the approximate BER level for the optical fiber systems ?
Maximum Likelihood to get the above parameters i.e. u0 and var. Now from these 999 points, I take one point out (lets call it i) and add a new point (lets call it j). What will the new mean and variance be?
A set of digital scales is required to measure a load of 1000 N with an accuracy of ±1 N. Determine the minimum output resolution of the required ADC.
Gold cost about $100 an ounce in 1971. In 2007, the cost of an ounce of gold is hovering around $800. compute the average price increase for gold.
Show that the power in a three-phase, three-wire system with balanced loads is constant at every instant. Deduce an expression for the power in terms of the line voltage, line current, and the power-factor.
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