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At point on the ground 70 feet from base of a tree the distance to the top of the tree is 2 feet more than 3 times the height of the tree. What is the height of the tree?
A colony of bacteria is growing exponentially, doubling in size every 140 minutes. How many minutes will it take for the colony of bacteria to triple in size?
An automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style of truck one year are defective. It has contacted the owners of these vehicles and asked them to return their trucks to the dealer to ch..
Billy likes to go cycling, his bike has wheels of diameter 85cm he has invented a counter for his bike which counts the number of revolutions the wheels make.
s to manufacture a box with a volume of 24 cubic feet that is open on top and is twice as long as it is wide. Find the width of the box that can be produced using the minimum amount of material. Round to the nearest tenth, if necessary.
A volcano fills the volume between the graphs z=0 and z=1/(x^2+y^2)^23 , and outside the cylinder x^2+y^2=1. Find the volume of this volcano.
A bakery makes cakes. The bakery has daily fixed costs of $418 per day and variable costs of $7.30 per cake produced. Cakes are sold for $12.80 each.
airplane B takes off 60 minutes after airplane A and heads in the same direction. if airplane A travels with a constant velocity of 735 mph and airplane B with a constant velocity of 1070 mph, in how many hours will airplane B to catch up to airpl..
A guy wire (a type of support used for example, on radio antennas) is attached to the top of a 50 foot pole and stretched to a point that is d feet from the bottom of the pole.
Of the registered voters in a certain town, 64% are Democrats, 59% favor a school loan, and 49% are Democrats who favor a school loan. Suppose that a registered voter is selected at random from the town.
how many of each should she order to maximize her profit if she can spend 1200 on buying costs 800 on selling cost and 500 on delivery costs?
Is it possible to have a triangle with sides measuring 10ft, 12 ft, and 23 ft.? A mountain road is inclined 30 degrees with the horizontal, if a pick-up truck drives 2 mi. on this road , what change in altitude has been achieved?
Let C be a circle with center P and X a point in the exterior of C. Construct the two tangent lines to the circle that pass through X.
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