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An audio speaker that weighs 50 pounds hangs from the center of a 6 foot cable the ends of which are fastened to the ceiling of a restaurant. At equilibrium the minimum point of the stretched cable is 0.5 ft below the ceiling. To two decimal places, what is the tension T in the cable?
The included angle of the two sides of contant equal length s of an isosceles triangle is Z degrees. Show that the area of the triangle is given by A = 1/2s^2 sin Z
a farmer has 1200 feet of fence and wishes to build two identical rectangular enclosures. What should be the dimensions of each enclosure if the total area is to be a maximum?
Probability & Statistics Questions. A machine produces 12,000 bolts per day, with a 3% defect rate. What is the probability that twelve defective bolts will be found in a sample of 600 bolts?
A tank initially contains 46 gal of brine, in which 15 lb of salt is dissolved. Brine containing 2 lb of dissolved salt per gallon flows into the tank at the rate of 5 gal/min, and the well-stirred mixture flows out of the tank at the same rate. H..
Sharon needs 64 credits to graduate fro her community college. So far she has earned 24 credits. What percent of the required credits does she have?
What is the probability that you obtain a black ball?
A poster of total area 256 in2 is to have a margin of 4 inches at the top and bottom and 1 inch at each side.(a) Find the dimensions of the poster which give the largest printed area.
Use the side-angle inequality to show that in triangle ABC if the internal bisector of angle A meets BC at D and AB>AC , then DB>DC.
A rectangular piece of metal is 10 cm longer than it is wide. Squares with sides 2 cm long are cut from the four corners of the piece of metal, and the flaps are folded upward to form an open box. If the volume of the box is 832 cm3, what were the..
what is the distance between the origin and the point (5,12)? if necessary, round your answers to two decimal places.
The expected gains & losses under each economic type of conditions are shown in the following table.
Do the data indicate a significant difference in average off-schedule lime? Use a 5 percent level of significance.
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