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The half-life of cesium-137 is 30 years. Suppose we have a 170 mg sample.
(a) Find the mass that remains after t years.
Explain Isomorphism of Two Groups, Let G = (Q, +) and let K = Z be the subgroup of integers
For John's ordering policy to be correct, what would the carrying cost as a percentage of the unit cost have to be? If the carrying cost were 10% of the cost, what would the optimal order quantity be?
Find the hydrostatic force (in lb) on one end of the tank if it is filled to a depth of 8 ft with gasoline. Assume the gasoline's weight density is 420lbft3 (In British units, "weight density" is the equivalent of g in SI units.)
Coffee is draining - Application of calculus
How can one prove that the 4 midpoints of the four sides of any quadrilateral form the vertices of a parallelogram using graph geometry (ie. x1, y1 etc. to denote the four vertices)?
How long would it take the sample to decay to 10% of its original amount?
Write a system of equations for the problem, and then solve the system. Two cars leave a city and head in the same direction. After 4 hours, the faster car is 24 miles ahead of the slower car. The slower car has traveled 164 miles. Find the speeds..
How many gallons of water are being pumped out each hour?
Write the equation of a line perpendicular to the given line but passing through the given point.
At the beginning of an experiment, a scientist has 208 grams of radioactive goo. After 165 minutes, her sample has decayed to 6.5 grams.
Use linear approximation, the tangent line approximation, to approximate the following: Note: the correct answer are different from the calculator computed values
Find the probability of selecting an eight, A card is selected from a standard deck of 52 playing cards. Find the probability of selecting
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