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1. A rectangular field is going to be enclosed and divided into two separate rectangular areas. (The areas do not have to be equal.) Find the minimum fencing that is required if the total area of the field is 1200 m2.
2. A closed cylindrical container needs to have a volume of 128pie dm3. Find the dimensions if the total area must be a minimum.
3. A rectangular storage box has a base that is three times as long as it is wide. The top is made of a material that costs 35 times the price per square meter of the material used for the rest of the box. Find the dimensions that would be necessary to ensure the minimal cost if the volume of the box must be 3 m3.
4. The Meal Group Caterer finds that competitors cater lunch for a group of 100 people for $5 each. The manager of Meal Group Caterer calculates that for each 25 cent discount per lunch, it is possible to sell an additional 10 lunches. If each lunch costs Meal Group Caterer $2 to prepare, how many lunches should be prepared to maximize the profit?
Given that the mean of a set of data is 25 and the standard deviation is 3, what would be the coefficient of variation?
A weather balloon is located on a bearing of N 42 E from the western station and a bearing of N 15 E from the eastern station. How far away is the balloon from the eastern station? From the Western Station?
a rancher wishes to enclose a rectangular corral with 320 feet of fencing. the fencing only required 3 sides because of an existing wall. what are the dimensions of the corral of maximum area?
Activity activity optimistic times
Explain why G cannot contain a subdivision of K5, but must contain a subdivision of K3 and draw two such a graphs, one in which K3,3 is a subgraph, and One in which there is a proper subdivision of K3,3 as a subgraph
Develop a loan amortization project using Excel spreadsheets. This can be a car loan or a home mortgage. You will develop two alternative loan schedules using realistic rates and repayment schedules and write up a comparison of your two amortizati..
If 1200cm2 of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
The circumference of a sphere was measured to be 80000 cm with a possible error of 050000 cm. Use linear approximation to estimate the maximum error in the calculated surface area.
Explain in your own words how the principle of square roots is used to solve quadratic equations. What form must a quadratic equation be in to use the principle of square roots for solving? Demonstrate the process with your own example.
A windshield wiper is 3 feet long and the blade is 2 feet long. If the wiper can trace out an angle of 110 degrees, what area can the blade wipe?
there are 24 families living in the willbrook farms development. of these families 12 prepared their own federal income
8. During which time intervals is the velocity constant? 9. During which time intervals is the velocity increasing? 10. During which time intervals is the velocity decreasing?
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