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Suppose that every hour there are two new bacteria in a colony for each bacterium that was present the previous hour, and that all bacteria 2 hours old die. The colony starts with 100 new bacteria.
a) Set up a recurrence relation for the number of bacteria present after n hours.
b) What is the solution of this recurrence relation?
c) When will the colony contain more than 1 million bacteria?
find the area of the region that is bounded by the given curve and lies in the specified vector.
Use the side-angle inequality to show that in triangle ABC if the internal bisector of angle A meets BC at D and AB>AC , then DB>DC.
Use the technique of asserting that if there is a counter-example, there is a smallest counter-example and deriving a contradiction to prove that the sum is n(n + 1)/2. What implication did you have to prove in the process?
In this writing assignment, you will explore how organizations use business process management (BPM). Write a one page (300-word) paper explaining how organizations use business process management (BPM). Be sure to use at least one specific exampl..
Suppose f(x) is an exp function of the form f(x)
A small plane is flying a banner in the shape of rectagular. The area of the banner is 144 square feet. The width of the banner is 1/4 the length of the banner. What are the dimensions of the banner
Jupiter subtends an angle of 1.67 x10-4 rad when viewed by the unaided eye and 3.21 x 10-2 rad when viewed through an astronomical telescope that has a 0.031m focal length eyepiece. Determine the focal length of the telescope's objective lens.
A determined gardener has 130 ft of deer-resistant fence. She wants to enclose a rectangular vegetable garden in her backyard, and she wants the area that is enclosed to be at least 1000 ft2. What range of values is possible for the length of her ..
What can you conclude based on the value of your correlation coefficient and the associated scatterplot? Does a linear relationship exist between commute time and well-being index score? Why or why not?
the initial price of a cup of coffee is 1.5 and at that price 200 cups are demanded. if the price falls to 0.90 the
mrs. cleaver mixes 1.24 liters of red paint with 3 times as much blue paint to make purple paint. she pours the paint
How might you involve children in learning geometric concepts? Which geometric concept do you think will be most difficult for children to learn and why?
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