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To deliever a package, a messenger must travel at a speed of 60 mi/h in still water. The messenger goes by land to a dock and then travels on a river against a current of 4 mi/h. He reaches the destination in 4.5 hours and then returns to the starting point in 3.5 hours. How far did the messenger travel by land and how far by water?
Determining the maximum area of a Norman window with the fixed perimeter of 16 feet - Evaluate the dimension of a Norman window of maximum area if the total perimeter is 16 feet.
Find a quadratic function that models the data shown as a function of x, the number of weeks.
find the area of the trapezoidal cross-section of the irrigation canal shown below. Your answer will be in terms of h, w, and θ. Use theta for θ.
A 180-lb man carries a 5-lb can of paint up a helical staircase that encircles a silo with radius 25 ft. If the silo is 80 ft high and the man makes exactly four complete revolutions, how much work is done by the man against gravity in climbing to..
The number of surfer's special burritos served was sampled during a dinner period 5:00 p.m. - 8:30 p.m. at a taco shop on a weekday. Below is the sample:
An executive invests $24,000, some at 8% and some at 6% annual interest. If he receives an annual return of $1,800, how much is invested at each rate?
A checkered flag used for racing is a square flag containing 64 alternating white and black squares. How many squares on the checkered flag contain an equal number of white and black squares?
The monthly incomes of trainees at a local mill are normally distributed with a mean of $1,100 and a standard deviation of $150. find the probability that a randomly selected employee earns less than $900 a month.
Evaluate the derivative of the given function by using the definition of derivative
Let x and y be real numbers. Show that x 0 if and only if x 0 if and only if x=y.
How much would you have in a bank account at the end of 9 years if $9,390 is invested at 3% compounded quarterly?
Inquiries of the Poisson Portal interactive query system arrive at the central computer in a Poisson pattern at an average rate of 13 inquiries per minute.
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