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Rancher Juana wants to build a three-sided rectangular fence near a river, using 180 yards of fencing. Assume that the river runs straight and that Juana need not fence in the side next to the river.
Juana wants to build a fence so that the enclosed area is maximized.
What should be the length of each side running perpendicular to the river?
What should be the length of the side running parallel to the river?
What is the largest total area that can be enclosed?
Two angles are complementary of each other. Twice one angle is equal to the other angle plus the product of three and five. Set up a system of linear equations to represent the two angles.
Construct a truth table and determine the truth value of the statement ~ q = { ~r ^ ( p v q) }, when p is false, q is true and r is true.
the length of the transverse axis is 8, and the length of the blue lilne segment is 7. How long is the red line segment?
Determine the total contribution to profit that lies on the objective function (profit line) as it is plotted on the graph if the company produces a combination of cases of Brand X and Brand Y.
If a ball is thrown into the air with a velocity of 50ft/s, its height in feet after t seconds is given by y = 50t - 16t^2. Find the average velocity for the time period beginning when t = 3 and lasting 0.05 s.
At the beginning of an experiment, a scientist has 372 grams of radioactive goo. After 105 minutes, her sample has decayed to 46.5 grams. What is the half-life of the goo in minutes?
Post a response to the following: Review section 10.2 (p. 692) of your text. Describe two laws of exponents and provide an example illustrating each law.
Problem 1: (a) Let (X, d) be a metric space. Define a function d': X * X → R by setting
A bacteria population starts with 400 and grows at a rate of r(t)=(450.268)e^(1.12567t)bacteria per hour. How many bacteria will there be after 3 hours ?
Two rainstorms occurred in one week in a certain area. The first storm lasted 25 hours and the second storm lasted 15 hours for a total 1025 mL of rain. What was the rate of rainfall for each of the two storms if the sum of the two rates was 55 mL..
What is the proof of Pythagoras Theorem ?
Which of the following situations is inconsistent?
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