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A breeding group of foxes is introduced into a protected area, and the population growth follows a logistic pattern. After t years the population of foxes is given by
N=39.68/(.30+0.88^t)
when will the fox population reach 78 individuals? Round your answer to 2 decimal places.
A regular triangular pyramid has a base, b, of 3.9m, a height, h, of 3.9m, and a height, H, of 15.8m. Find the volume of the pyramid to the nearest square unit.
An insurance company claims that for x thousand policies, its monthly revenue in dollars is given by R(x)=150x and its monthly cost in dollars is given by c(x)=120x+7200.
A plane is 150mi north and 95 mi east of an airport. Find x , the bearing the pilot should take in order to fly directly to the airport.
Two trains leave stations 266 miles apart at the same time and travel toward each other. One train travels at 90 miles per hour while the other travels at 100 miles per hour How long will it take for the two trains to meet?
Choose ten of your friends, and make a graph where the edges represent two friends being Facebook friends. (Do not include yourself in the graph). Order your friends alphabetically, and label the vertices v1, v2, ..., v10 respectively.
Another worker (worker 2) produces at an average rate of 65 per day with a standard deviation of 21. What is the productivity that during one week (5 working days) worker 1 will produce more than worker 2?
The founding fathers of the United States established the Electoral College as a compromise between the election of the President by a vote in Congress and the election of the President by a popular vote of qualified citizens. Should the Electoral..
If the primal problem has multiple optimal solutions (the line segment from (x,y) to (x',y')), then does this necessarily imply that the dual problem also has multiple optimal solutions as well, or is it possible that the optimal solution to th..
Describe the set of points whose distance from the y-axis equals the distance from the xz-plane. Find an equation for the set of points.
Suppose that at a certain instant the volume is 540 cubic centimeters and the pressure is 83 kPa and is decreasing at a rate of 11 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant?
A boat leaves a dock at 2pm and travels due west at a speed of 15 km/h. Another boast has been heading due south at 12km/h and reaches the same dock at 3. at what time were the two boats closest together?
In a large study of 1000 entries, 40 errors were found. Does the data support the null hypothesis based upon this experience?
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