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It took a small plan 1 hour longer to fly 480 miles against the wind than it took the plane to fly the same distance with the wind. If the wind speed was 20 mph, then what is the speed of the plane in calm air?
The bus averaged 40 mph on the drive from Columbus to Athens but averaged 60 mph during the return trip. What was the average speed of the bus for the entire trip?
Solve the logarithmic equations
A chemist need 180 milliliters of a 40% solution but has only 28% and 46% solutions available. Find how many mililiters of the 46% solution you will need to get the desired solution.
Please show a detailed solution to this problem. Pleas show the curve and vectors together in a sketch. Find the unit vectors that are tangent and normal to the curve at the given point:
Prove the identity (n~r) (r~k) = (n~k) ((n-k)~(r-k)), whenever n, r, and k are nonnegative integers with r less than/equal to n and k less than/equal to r:
The annual sales of romance novels follows a normal distribution, however the mean and std deviation are not known. 40% of the time the sales exceed 470,000 books and 10% of the time sales exceed 500,000 books. What is the number of books sold in ..
Find the absolute minimum and maximum values of the function f(x,y) = 1+4x-5y on the closed triangular region with the vertices (0,0),(3,0), and (0,3).
a fast food restaurant wants a special container to hold coffee. the restautrant wishes the container to quickly cool the coffee from 200 degrees to 130 degrees fahrenheit and keep the liquid between 110 degrees and 130 degrees as long as possible..
The dimensions of a closed rectangular box are measured as 89 cm, 53 cm, and 35 cm, respectively, with a possible error of 0.2 cm in each dimension. Use differentials to estimate the maximum error in calculating the surface area of the box.
Run a multiple linear regression of your selecting & interpret.
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.
If the rope is pulled in at a rate of 1.4 m/s, how fast is the boat approaching the dock when it is 10 m from the dock?
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