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A Norman window has the shape of a rectangle with a semicircle sitting on top of it; the diameter of the circle matches the top of the rectangle.
Let x be the length of the top of the rectangle (and thus also of the bottom of the rectangle and of the diameter of the circle) and y the length of the side of the rectangle.
find the max area for the window
On a road trip, five friends drove at 55 mile per hours to California. On the way home, they took the same route but drove 65 miles per hour. How many miles did they drive on the way to California if the round trip took 10 hours?
An employee receives a weekly salary of $290 and a 4% commission on all sales.
A sample of a radioactive substance decayed to 91% of its original amount after a year. What is the half-life of the substance?(Round your answers to two decimal places.)
If Player A gets to throw 2 darts and Player B gets to throw 5 darts, how do you calculate the probability of Player A or Player B getting the highest total score?
A baseball team plays in a stadium that holds 59000 spectators. With ticket prices at $10, the average attendance had been 5000. When ticket prices were lowered to $8, the average attendance rose to 15000.
A plane flying with a constant speed of 14 km/min passes over a ground radar station at an altitude of 12 km and climbs at an angle of 50 degrees. At what rate is the distance from the plane to the radar station increasing 4 minutes later?
A bookstore has an annual demand for 40,000 copies of a best-selling book. It costs $0.90 to store one copy for one year, and it costs $15 to place an order. Find the optimum number of copies per order.
A water storage tank has the shape of a cylinder with diameter 18 ft. It is mounted so that the circular cross-sections are vertical. If the depth of the water is 10 ft, what percentage of the total capacity is being used?
Eighty percent of all California drivers wear seat belts if three drivers are pulled over what is the probability that all would be wearing their seat belts?
Let m=1517 and let e =17. Encode messages x by computing xe mod m. If x=2, what is the encoded message? If the encoded message is 2, what is the message x?
Suppose that 694 ft of fencing is used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle. Find the dimensions of the corral with maximum area.
describe the intervals you would use for a bar graph if the data ranges from 12 to 39 units.
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