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A kite is flying 70 feet above the ground and is attached to a string tied to a stake on the ground. The angle of elevation formed by the string and the ground is 40°. Find the length of the string to the nearest foot.
Find the solutions of the exponential equation
Determine the amplitude, period and phase shift of Y = ½ sin (x+π) and graph one period of the function.
When you subtract one number from another, the answer is always less than both of the numbers in the subtraction problem. Support or disprove this statement with examples.
How are the vertex and axis of symmetry related on a parabola? Please explain with the help of an example.
Using the least squares method answer the following. What are the main strengths of this method?
Let f:R->R be uniformly continuous on R (the reals) and let f_n(x)=f(x+1/n) for x in the reals. Show that (f_n) converges uniformly on the reals to f.
Assume the readings on a thermometers are normally distrubuted with a mean of 0 degree C and a standard deviation of 1.00 degree Celsius. Find the proabilitys that a randomly selected thermometer read leass than 1.43.
What is your profit from charging the premium found in part b? What happens to the smokers and non-smokers in this market? What premium must you charge in order to break-even?
Suppose also that 200 nonpregnant women take the test, and 184 of them test "negative" and the remaining 16 test "positive." What is the probability that a woman who tests positive is actually pregnant?
Paola purchased an office building on January 5, 2009, for $450,000. $30,000 of the price was for the land. On September 25, 2011, he sold the office building. What is the cost recovery deduction for 2011 rounded to the nearest dollar?
assume that all doors produced can be sold for a profit of $500 and all windows can be sold for a profit of $400. Formulate an LP model for this problem. sketch the feasible region. what is the optimal solution?
A square's side is increased by 7 yards, which corresponds to an increase in the area by 217 square yards. How many yards is the side of the initial square?
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