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A rich man died. In his will, he has divided his gold coins among his 5 sons, 5 daughters and a manager.
According to his will: First give one coin to manager. 1/5th of the remaining to the elder son. Now give one coin to the manager and 1/5th of the remaining to second son and so on..... After giving coins to 5th son, divided the remaining coins among five daughters equally.
All should get full coins. Find the minimum number of coins he has?
The soil will be excavated from the borrow pit, moistened to increase the water content to 13.5% (assume i will not change the volume of solid mass) and then compacted to a final dry unit weight of 118 pcf.
Derive the porosity values for cubic, orthorhombic, and rhombohedral packing of spheres. Include sketches supporting your calculations of the bulk volumes of the unit cells.
The velocity of propagation, c of surface waves is assumed to depend on the water depth, y, the water density, and the acceleration due to gravity, g. Express these variables as a dimensionless group.
A 12%, $50,000 bond is offered for sale at $45,000. If the bond interest is payable monthly and the bond matures in 20 years, what nominal effective rates of return per year will the purchaser make on the investment
The motor has an efficiency of 80%. It operates at 240V AC. A 12" diameter drum is attached to the gearbox output shaft, and a wire rope is wrapped around the drum to act as a winch. The winch is used to raise bucket of raw material in a factory.
Suppose a drainage basin has an area of 288 acres with a CN=55(Runoff Coef. of 0.30). Determine the peak discharge (in cfs) that would result from a 6.0in., 24-hr assuming there are no ponds and swampy areas.
The moist unit weights and degrees of saturation of a soil are given: moist unit weight (1) = 16.62 kN/m^3, degree of saturation (1) = 50%; moist unit weight (2) = 17.71 kN/m^3, degree of saturation (2) = 75%.
A 10 feet thick clay that was unsaturated with a unit weight of 108 pcf and a water content of 20% gets saturated and also swells by 20% due to rain. G=2.70.
Imagine two small towns of 1,000 people: Blacktop and Parktown. In the urban sprawl that is Blacktop, all the residents own fuel-efficient cars (15 km/liter) and travel an average of 20,000 km per year. Over in Parktown, the situation is somewhat dif..
A balloon is being inflated at the rate of 15m^3/min. At what rate is the diameter increasing after 5 min? Assume that the diameter is zero at time zero.
A dairy that processes about 250,000 lb of milk daily produces an average of 65,100 gpd of wastewater with a BOD of 1400 mg/L. The principal opearations are bottling milk and maing ice cream with limited produciton of cottage cheese.
A horizontal pre-stressing force of 500kN is applied to rectangler beam. the beam has a depth of 500mm and a width of 250mm. the force is applied at a distance of 80mm below the x-x axis.
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