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A rectangular plot of ground containing 432 square feet is to be fenced within a large lot.
a) Express the perimeter of the plot as a function of the width. What is the domain of this function?
b) Use a graphing device to approximate the dimensions of the plot that requires the least amount of fence.
A package delivery company has determined that they can meet their schedules if they have 4 drivers for every 30 square miles of area they cover. If they want to offer service to a county of 75 square miles, how many drivers must they have?
a rancher has 450 ft. of fencing with which to enclose two corrals. The rancher wishes to contruct two corrals next to each other.
You have 80 yards of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area?
Examples of Probability and Statistics in Real Life, Can you think of situations in the business world or other real life situations where you would need to calculate or estimate probabilities?
Let G be an abelian group such that the operation on G is denoted additively. Show that {a is an element of G| 2a = 0} is a subgroup of G.
Should you develop this product? How do you make a decision in this situation? Also, how can one come up with the probability of success (or failure)?
Chuck travels 260 miles in the same time that Dana travels 230 miles.If Chuck's rate of travel is 6 mph more than Dana's and they travel the same length of time, at what speed does Chuck travel?
If 25% of the blades in the manufacturing are new, 60% are of average sharpness, and 15% are worn, what is the proportion of products that exhibit edge roughness? Round your answer to four decimal places (e.g. 98.7654).
Design a rectangular milk carton box of width w, length l, and height h which holds 620 cm3 of milk. The sides of the box cost 3 cents/cm2 and the top and bottom cost 6 cents/cm2. Find the dimensions of the box that minimize the total cost of mate..
a man has $34,000 to invest. he invests some at 5% and some at 4%. his total annual interest income is %1,545. find the amount he invests at each rate.
Can you use algebra to find a quadratic equation if you know the coordinates of just one point on its graph?
Two carts A and B are connected by a rope 39 feet long that passes over pulley P. The point Q is on the floor directly beneath P and between the carts. Cart A is being pulled away from Q at a speed of 2 ft/sec.
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