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A plane flies 430 miles with the wind and 310 miles against the wind in the same length of time. If the speed of the wind is 30mph, what is the speed of the plane in still air?
Evaluate the function for the values of x given as 1,2,4,8,16. Describe the differences in the rate at which each function changes with the increasing values of x.
Probability of Coins Drawn, Suppose you have 6 nickels, 4 dimes, and 2 quarters in your pocket. If you draw a coin randomly from your pocket, what is the probability that
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.
Finding the probability repeats in finite sequences. What is the probability that out of 3 people, 2 were born in the same month.
A bond with a face value of 100; 000 has coupons of 3% per annum payable semi-annually. It will be redeemed at par. It is purchased for a price of 91,825. At this price the yield to maturity is 4% per annum convertible semi-annually. Calculate the..
Suppose that a "skew" product of vectors in R2 is defined by (u,v)=u1v1-u2v2. Prove that (u,v)squared >equal too (u,u)(v,v). (NOTE; This is just the reverse of the Cauchy- Schwartz inequality for the ordinary dot product.)
Find a quadratic function that models the data shown as a function of x, the number of weeks.
Using the window setting to make a graph.
A bookstore sells a total $4500 worth of math books, $3000 worth of science books, and $1200 worth of history books. the book store also sells several other types of books. the total sales are $11,000.
The cost of producing x units of a product is given by C(x)=600 + 120 x - 120 ln(x), Find the minimum average cost.
A 6.00 in radius cylindrical rod is 2 ft long. Use a differential to approximate how much nickel (in in^3) is needed to coat the entire rod with the thickness of .12 in.
An industrial tank (a solid formed by adjoining two hemispheres to the ends of a right circular cylinder) must have a volume of 4000 cubic feet. The hemispherical ends cost twice as much per square foot of surface area as the sides. Find the dimen..
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