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A bacteria population grows at a rate proportional to its size. The initial count was 400 and 1600 after 1 hour. In how many minutes does the population double.
Prove that the set of natural numbers will be a ring by using ring definition - set of natural numbers
A farmer wants to fence o a rectangular ?eld and then divide the ?eld in half with a fence down the middle (see diagram below). If he can only aord 240 ft. of fencing material, what is the width y which gives the maximum area of the ?eld?
Given the following information, calculate the Predictive value positive and the predictive value negative.
Determine the kernel and range of each of the following linear transformations from R3 into R3. (a) L(x) = (x3, x2, x1)^T
Five ounces of shrimp and 3 ounces of scallops contain 45 milligrams of cholesterol less than the suggested maximum daily intake. Determine the cholesterol content in an ounce of each item.
Let R be a ring with the property that every element is either nilpotent or invertible. If a, b, c are in R with a and b nilpotent, show that ac, ca, and a + b are nilpotent.
Find the maximum value of the quadratic function. Make sure to show your work.
The distance between the building and the pole is 189 ft, and the pole casts a shadow that is 4.25 ft long. How tall is the building?
Identify the variables and determine the system of equations. Use the Gauss-Jordan elimination method and solve the system of equations
Prove that there is a positive integer that equals the sum of the positive integers not exceeding it. Is your proof constructive or nonconstructive?
A group of investors obtained a loan of $200,000 to buy a small business. The monthly mortgage payment was based on 25 years at 8%. Find the monthly mortgage payment. Use the Monthly Payment Table. Round to the nearest cent.
What is the maximum that Ernesto should be willing to pay to play this game if he wants to be sure that on average, if he plays very many times, he shouldn't lose money?
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