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a kite 100 feet above the ground moves horizontally at a speed of 8 feet per second. At what rate is the strong being let out when 200 feet of string has been let out.
A vat with 600 gallons of beer contains 4% alcohol (by >volume). Beer with 6% alcohol is pumped into the vat at a rate of 6 gal/min and the mixture is pumped out at the same rate. What is the percentage of alcohol after an hour?
The same experiment as in part (a) above is done with the 7 letters from CHICAGO. Find the probability that the result spells CHICAGO. Find probability that the result spells NEW YORK
Solve the following system of linear inequalities by graphing.
Four number are drawn at random from a box of ten numbers 0, 1,....,9. Find the probability that the largest number drawn is a six.
How could you interpret infinity in the y values for costs, a negative x value for time, or a horizontal asymptote in y values for profits?
Write a graphical user interface class called SentenceCounterGUI. It should be able to manipulate the sentence of words
Twenty rivets are used to fasten two steel plates together. The plates are 2.8 m long, and the rivets are equally spaced with a rivet at each end. Find the distance between the rivets. Round to the nearest tenth of a centimeter.
Inside a semicircular tunnel of diameter 24 feet, a vertical support beam is placed 5 feet from the side of the tunnel. How tall is the beam?
A segment has endpoints with coordinates (2,-7) and (5,1). Find the length and midpoint of the segment.
A dilation has a scale factor of 1/4. What term best describes this type of dilation?
State the domain of the following and provide a brief explanation fgor your answer: a) f(x)=sqrtx+4 b) g(x)= 2x+1/x-7 c) h(x)=3x^2+5x-3 d) l(x)=2x+3 e) m(x)=3/x^2+7
Find the elasticity of demand E for the demand function q = 40,000 - 10p2.
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