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A certain bacteria population is known to quadruple every 150 minutes. Suppose that there are initially 120 bacteria.
What is the size of the population after hours.
A surveyor standing 50 meters from the base of a building measures the angle to the top of the building and finds it to be 35°. The surveyor then measures the angle to the top of the radio tower on the building and finds that it is 48°. How tall i..
The bucket is filled with 38 lb of water and is pulled up at a rate of 5 ft/sec, but water leaks out of the bucket at a rate of 0.4 lb/sec. Find the work done in pulling the bucket to the top of the well.
What is the standard deviation of this sampling distribution? (Round your answer to two decimal places.)
Is there a vector r such that the directional derivative of f at (1,1,0) in the direction of r equals 1? If there is, find one such vector. If not, explain why not.
How many different 4-card hands are possible? How many different 4-card hands contain a number less than 7?
Write an essay that explores some of the statistical data that has been found in this area of study.
a plane is flying horizontally at an altitude of 2 mi and a speed of 400 miles per hour passes directly over a stadium. find the rate at which the distance from the plane to the stadium is increasing when the plane is 4 mi away from the station?
200 feet of fence needs to be used to enclose a ranch. the ranch borders a river where no fence is needed. what is the quadratic equation that will provide the maximum amount of space.
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..
The expected gains & losses under each economic type of conditions are shown in the following table.
Choose two bases of V3(R) they should have no vectors in common and neither of them should contain multiples of the standard basis vectors e1, e2, e3.
Suppose the scores of 500 college freshmen taking Physics 101 are normally distributed. The mean score is 60 out of 100, and the standard deviation is 10. Find the values defined by the standard deviation that is 3 standard deviations away from th..
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