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A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?
Prove the cancellation law for integers: If a,b, c are integers such that ac=bc and c is non zero, then a=b. hint for proof* use the cancellation law: Let a,b,c be natural numbers such that ac=bc and c is non zero, then a=b
The monthly charge for a waste collection serive is $32 for 100 kg of waste and $48 for 180 kg of waste. Find a linear formula for the cost, C, of waste collection as a function of the number of kilograms of waste, w.
The value of an car after t years is given by the function V(t)=25,000-1500t. What is the value of the automobile 3 years after it is purchased?
A decision maker who is considered to be a risk taker is faced with this set of probabilities and payoffs. Rank the decision alternatives onthe basis of expected value.
to find the number of goats on the island at the start of the nth year.
A solution was prepared by mixing 4.00 ml 0.20 M NH3, 1.00 ml of 0.20 M HCl, and 5.00 ml of water. Calculate the concentration of NH3 and NH4+ in the final diluted solution.
a family wants to cross a river in a boat that holds no more than 250lbs. the husband weighs 160lbs. his wife weighs
Use the approximate operation counts n2 /2 for back substitution and n3 /3 for elimination to estimate how long it will take to do a complete Gaussian elimination of this size. Round your answer to the nearest second.
The ones in each row indicate the choices of the person to the left of the row. For example, x chooses y and w as her best friends while y chooses x and z. Explain the moaning of the entries of the matrix AAt.
a certain radioactive isotope has a half life of approximately 1050 years. How many years will required for a given of the isotope to decay to 75% of that amount?
Eliminate the parameter to find a Cartesian equation of the curve. sketch the of the parametric equations. Indicate with an arrow the direction in which the curve is traced as t increases.
Two tanks with equal volumes are shown below.The tops are open.The owner wants to cover one tank with a glass top.The cost of glass is $0.05 per square inch.Which tank would be less expensive to cover
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