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there is a legend that the inventor of chess asked fora small payment in return for the marvelous game he had developed; one grain of rice for the first square on the chess board, two for the second square, four for the third square, and so on. there are 64 squares on a chess board.
a) how many grains of rice were placed on the 16th square?
b) how many grains of rice were placed on the 64th square?
c) how many grains of rice were placed on the chess board? this problem is intended to give you some practice working with very large numbers in excel. you may want to try using the scientific format. creating a series of values from 1 to 64 for the "square number" column is a good place to use the fill handle
Given computer-generated direction field. Then sketch, by hand, an approximate solution curve that passes through each of the indicated points. Use different colored pencils for each solution curve.
A fixed beam of span 6m carries point loads 20kN and 15kN at 2 m and 4 m from the left end respectively. Find the support movements draw SFD and BMD
Determine what fair amount she should receive if she decides she want to be paid: a. In 2 equal installments - one immediately (at T=0) and one at the end of month 36.
For a flow of 2 MGD, an influent BOD of 200 mg/l, a depth of 8 feet, and a desired effluent BOD concentration of 20 mg/l, determine the volume required for trickling filtration treatment as predicted for single-stage treatment by using NRC equatio..
In a certain chemical plant, a closed tank contains ethyl alcohol to a depth of 50 ft. Air at a pressure of 25 psi fills the gap at the top of the tank. Determine the pressure at a closed valve attached to the tank 10 ft above its bottom.
An intake conduit from a well field used to pump ground water is being designed for a town with a population of 23,000 people. Six years ago the population was 21,500 people. a) assuming deometric growth, calculate the population in 50 years
The casting has a mass of 3 Mg. Suspended in a vertical position and initially at rest, it is given an upward speed of V mm/s in 0.3s using a crane hook H. Determine the tension in cables AC and AB during this time interval if the acceleration is ..
The partial pressure of the gasses in a 22,414-L volume of air at STP are: oxygen, 21,224 kPa; nitrogen, 79,119 kPa; argon, 0.946 kPa; and carbondioxide, 0.036 kPa. Determine the gram molecular weight of air.
A 1-kg block of dry ice(solid CO2) becomes a gas at room temperature. calculate the volume of gas produced at 25 degrees celsius and 975 kPa.
The town needs a total of 2 mgd. The capacity of well 1 is 5 million gallons per day, and that of well 2 is 10 mgd. Using calculus (hint: calculus with substitution), determine the optimal amount of water that will be drawn from each well
a beryllium copper wire having diameter of 1-50 mm and length of 40mm is used as a small torsion bar in an instrument. determine what angle of twist would result in the wire when it is stressed to 250 mpa.
a piston/cylinder contains liquid water at 2 degrees Celcius, with a freely moving piston maintains a pressure of 200 kPa on the water. Heat transfers to the liquid water until the piston/cylinder contains only saturated vapor.
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