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Question: Pollution monitoring suppose the presence of phosphates in certain waste products dumped into a lake promotes the growth of algae. Rampant growth of algae affects the oxygen supply in the water, so an environmental group wishes to estimate the area of algae growth. The group measures the length across the algae growth (see the figure) and obtains the data (in feet) in the table.
Use 8 rectangles with bases of 10 feet and lengths measured at the left-hand endpoints to approximate the area of the algae growth.
If you put $ 2,000 in a savings account that pays 6% interest compounded continuously, how much money will you have in your account in 4 years? Assume you make no additional deposits or withdraws. A: $2,983.65 B: $2,542.50
ompounds only: compound A and compound B. To make this drug, parts of compound A are used for every parts of compound B. If a chemist wants to make milliliters of this drug, how many milliliters of compound A are needed?
Explain how the Electoral College currently works. Explain the "winner-take-all" system of electoral vote allocation within 48 of 50 states.
What are the different methods that can be used to solve a differential equation? Please provide a numbered list.
In your judgment, should the major decisions on pollution and resource depletion (especially energy policy) be made by government experts? By scientific experts? By everyone? Provide moral arguments in support of your judgment.
Let F be field. Let f: F[x] -> F the map that sends every polynomial to the sum of its coefficients. Prove that f is a ring homomorphism and describe its kernel
Sampling distribution of sample mean- key informaiton. What is the probability that the sample mean will be between 28 and 46?
(a) If F : R^n → R^m is a linear transformation and n > m then there exists a nonzero vector x such that F (x) = 0. (b) If F : R^n → R^m and G : R^k → R^n are linear transformations such that ker F = {0} and ker G = {0} then ker F ? G = {0}.
What is-the maximum height reached by the ball? What is the velocity of the ball when it is 128 ft above the ground on its way up? What is-the velocity of the ball when it is 128 ft above the ground on its way down?
Using the high low method, estimate the variable cost and fixed cost elements of the annual cost of the truck operation.
At what rate is the water level changing when the water is 8 m deep? What is the radius r of the water's surface when the water is y m deep? At what rate is the radius r changing when the water is 8 m deep?
application of matrices in real word problems.five neighborhoods nb all want to raise money for a playground for their
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