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A rancher has 3,600 linear feet of fencing and wants to enclose a rectangular field and then divide it into two equal pastures with an internal fence parallel to one of the rectangular sides. What is the maximum area of each pasture?
A surveyor is 305 ft from the base of the new courthouse. Her angle-measuring device is 5 ft above the ground. The angle of elevation to the top of the courthouse is 42º. Find the height of the courthouse to the nearest foot.
Using the optimistic and conservative approaches in a decision analysis will never give the same optimal decision is the question true or false?
Write the vertical motion equation for this problem.
A ski-lift runs to the top of a hill has a rise to run ratio of 3/7. The horizontal distance from the bottom of the lift to the center of the mountain is 3000 ft. How high is the hill?
What is the value of the coefficient of determination for this regression model? Comment on the strength of the regression line for this model.
How close to the ground can the ball fall before it is too late for a warning shout from the balcony to reach the man in time? Assume that the man requires 0.300 s to respond to the warning.
A school had a very unusual tradition involving its 1000 students and its 1000 lockers. On opening day, after the head of the school had closed all the lockers, a student walked by and opened every single one.
You are traveling to your mothers house that is 234 miles away. If you are currently twice as far from your home as you are from your mothers house, how far have you traveled? Round your answer to the nearest tenth mile.
Determine the slope-intercept form of the line with x-intercept = -8 and y-intercept = -16 i.e. the line passes through the points (-8, 0) and (0, -16).
It takes a force of 21,714 lb to compress a coil spring assembly on a New York City Transit Authority subway car from its free height of 8in. to its fully compressed height of in.
Derive the statement as corollaries of other theorems from the text or of statement you have proved true in the exercise.
Let I be an ideal of R and let S be a subring of R. prove that I(intersection)S is an ideal of S. ALSO, show by some example that not every ideal of a subring S of a ring R
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