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Child lies on the the ground and looks up at the top of a 17 foot tall tree nearby. Child is 14 feet away from the tree what is the angle of elevation to the top of the tree?
In a tank containing 100 gallons of fresh water, 10 lbs of salt was added instead of 20 lbs. To correct the mistake, fresh water was added at the rate of 3 gallons per minute while draining off the well stirred salt solution from the tank at the s..
Suppose 2 cards are drawn without replacement from an ordinary deck of 52. Find the probabilities of the following results.
dimensions of a rectangle where its length is 11 more than its width. If the lenght was doubled and width decreased by 5 the area would be increased by 72 in squared what are the length and side eimdension.
Show that for n less than or equal to 4, any Latin square of order n can be obtained from the multiplication table of a group by permuting rows, columns, and symbols.
How much would you have in a bank account at the end of 9 years if $9,390 is invested at 3% compounded quarterly?
Take 4900 draws from this distribution. Graph the histogram & give the mean and variance of this sample. (Hand in only the histogram and the results for mean and variance).
Let R be the region bounded by the curves f(x) = ln(x+3) +2 and g(x) = x^2 - 8x + 18. Using the washer method, find the volume of the shape which is formed if R is rotated around the x- axis.
Two weather tracking stations are on the equator 159 miles apart. A weather balloon is located on a bearing of N 38°E from the western station and on a bearing of N 14°E from the eastern station. How far is the balloon from the western station?
State the value of the discriminant and then describe the nature of the solution. What is the value of the discriminant?
Give a counter example and then prove why, i.e., a metric space and a sequence, that disproves the claim: Every Cauchy sequence converges.
Two planes take off from at the same time, one is flying due east at a constant speed of 325 mph and the other flying due south at a constant speed of 280 mph. If their radios have a max. range of 1300 miles, then at approximtely what time can the..
Find the number of distinguishable permutations of the letters in each word
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