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on a certain island, at any given time, there are R hundred rats and S hundred snakes. their populations are related by the equation (R-14)^2 + 16(S-11)^2 = 68. what is the maximum combined number of snakes and rats that could ever be on the island?
emile knows his brother would enjoy winning the race, but he does not want the race so short that it is obvious his brother will win. How long should the race be so that Henry will win in a close race?
Find, in the form of an in?nite series, the solution to the heat conduction problem statedat the start of the question.
What is the principle of powers? Describe in your own words. When solving a radical equation, how do we use the principle of powers to eliminate radicals? Demonstrate with an example.
Golf balls are sold in packages of three and are made from a solid rubber material. If the diam of a gold ball is 1.68 inches, about how much of the material is needed to make three golf balls
The stopping distance d of a car after the brakes are applied varies directly as the square of the speed r. If a car traveling 80 mph can stop i n360 ft, how many feet will it take the same car to stop when it is traveling 70 mph?
Find α given that 7i+5j-7k and αi-15j+21k are parallel
Plot the curve C for 0 ≤ t ≤ 1 and use the {\bf arrow} feature to plot each of these secant vectors as well as the tangent vector to the curve at p(0). Attach each of these vectors to the point p(0) = (0, 1).
A dining room set lists for 7,900.00$ and carried a trade discount of 25 percent. Freight ( FOB shipping point ) of 75.00$ is not part of the list price. The net price of the dining room set including freight, assuming a cash discount of 4 percent..
Suppose that a "skew" product of vectors in R2 is defined by (u,v)=u1v1-u2v2. Prove that (u,v)squared >equal too (u,u)(v,v). (NOTE; This is just the reverse of the Cauchy- Schwartz inequality for the ordinary dot product.)
Factorize and solve the given quadratic equation and Solving the given quadratic equation by using formula method
Rank the data from lowest to highest and determine the requested quartile. The following scores on the midterm exam in Chemistry 102 were recorded. 93 81 59 69 82 73 61 77 95 84 88 71 85 97 63 72 89 80 98 91 62 78 83 76 81 94 66 83 96. Find the ls..
The length of a rectangular room is 3 feet longer than twice the width. If the room's perimeter is 174 feet, find the length of the room.
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