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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
determine the power that must be supplied to the motor at this instant. The motor has an efficiency of 76 %. Neglect the mass of the pulleys and cables.
a) Calculate Darcy's velocity of the groundowater as well as the amount of water that passes through the aquifer each day. b) for the same aquifer, determine the seepage velocity of water through aquifer if the effective porosity is 32%.
A 2000-lb wheel load is to be supported by aggregate over soil with a maximum bearing pressure of 1000 lb/sqft. What depth of aggregate is needed if the angle theta is 40 degrees
given f(x) = -2x^6 - 1.5x^4 + 10x +2. use a root location technique to determine the maximum of this function. perform iterations until the approximate relative error falls below 5%.
A 0.4m^3 moist soil sample has the following: Moist mass = 711.2 kg, Dry mass 623.9 kg, Specific gravity of soil solids = 2.68 Estimate: a). Moisture content. b). Moist density.
The transportation agency would like to determine the maximum spacing of stations to allow trains to arrive no more than 5 minutes apart. 1. Draw a time-space diagram depicting the above scenario
A cylindrical metal specimen 12.0 mm in diameter and 120 mm long is to be subjected to a tensile stress of 40 MPa . at this stress level the resulting deformation is totally elastic.
Saturated liquid water at 1.0 MPa is throttled adiabatically to a pressure of 0.4 MPa. If the change is kinetic energy is negligible, what percentage of the water evaporates during this throttling process?
Determine the horizontal component of reaction that the pin A exerts on the two-member frame. Set F = 500 (Find Ax) Determine the vertical component of reaction that the pin A exerts on the two-member frame.
The calculation and layout of horizontal and vertical curves should be done only by experienced surveyors and differential leveling measurements
A concrete mix with a 3-inch slump, w/c ratio of 0.50, and sand with a fineness modulus of 2.4 contains 1700 lb/yd^3 of coarse aggregate. Compute the required weight of coarse aggregate per cubic yard.
a thin walled circular tube and a solid circular bar of the same material are subjected to torsion. the tube and the bar have the same cross-sectional area and the same length.
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