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Dead leaves accumulate on the ground in a forest at a rate of 4 grams per square centimeter per year. At the same time, these leaves decompose at a continuous rate of 80 percent per year.
Write a differential equation for the total quantity Q of dead leaves (per square centimeter) at time t
A rancher wants to fence in an area of 2000000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use?
A stamp collection consists of 3, 8, and 15 cent stamps. The number of 8 cent stamps is one less than triple the number of 3 cent stamps. The number of 15 cent stamps is six less than the number of 8 cent stamps.
Write the equation of the ellipse that is centered at the origin with vertices at (0,9) and co-vertices at (5,0). Write answer in most correct format.
We are designing a computer graphic in which we zoom in on a cube. The volume V, surface area S, and side length z of the cube are all varying with respect to time. With this information, compute the following quantities using the steps described ..
The campus vets club is having a raffle and is selling 1,500 tickets. If the people on your floor of the dorm bought 165 of those tickets, what is the probability that someone on your floor will hold the winning ticket?
How many people learned of the sale from newspapers or radio, but not both?
A rectangular gate ABCD of mass 120kg where AB=1m and AD=3m is supported at A & B by pins where B is vertically above A. The reaction force at B is always horizontal.
You want to create a mileage grid showing the distance between every pair of the 50 U.S. state capitals. How many numbers will you have to compute?
The original cost of the speaker was $500 and lozz had recognized $100 of depreciation on it at the time of scrapping. Prepare the journal entry recording the scrapping of the speaker.
In rectangle ABDF above, C and E are midpoints of sides BD and DF , respectively. What fraction of the area of the rectangle is shaded?
Evaluate the dimensions of the rectangle of maximum area that can be inscribed in a ellipse
suppose that for a certain company c(x)=45x+500,000 represents the total cost function, and R(x)=55x represents the total revenue function. Find the total-profit function and break-even point.
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