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A company wishes to manufacture a box with a volume of 56 cubic feet that is open on top and is twice as long as it is wide. Find the width of the box that can be produced using the minimum amount of material.
A plane flies 45 minutes at 150mph on a bearing of 35 degrees. It then turns and flies 90 minutes at the same speed on the bearing of 125 degrees. How far is the plane from the staring point?
This number system is an extension of the real number system. Any polynomial equation has n complex roots, in general, in the complex number system. For example, the equation x2 + 1 = 0 has no real roots
A recent survey showed that 67% of dog owners take their pet for daily walks. The margin of sampling error was within 4.5 percentage points. Find the range of dog owners who take their dog for daily walks.
nick has a revolving department store credit card account with an annual percentage rate of 15% last month's balance on the account was $423.78 during the current month he made purchases totaling $123.42
Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window with a perimeter of 39 feet?
23% of the seniors at a high school failed pre-calculus.if 1138 students failed pre-calculus, how many seniors are at t his high school?
BDFH is a rectangle with a width of 5 and a length of 12. One diagonal is 2x + 3y and the other diagonal is x + 8y. Find the values of x and y.
A compact disc can have an angular speed up to 3142 radians per minute. At this angular speed, how many revolutions per minute would the CD make? How long would it take the CD to make 10,000 revolutions?
Mr. Smith invested $48,000, part at 6% interest and the remainder at 10%. He received $4000 in interest after one year. How much was invested at each rate?
An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists are driving cars on the highway on opposite sides of the plane, and the angle of depression to one car is 32° and to the other is 54°. How far apart..
Suppose that a certain college class contains 38 students. Of these, are 26 sophomores, 15 are science majors, and 6 are neither. A student is selected at random from the class.
A box with a square base has length plus girth of 104 in. (Girth is the distance "around" the box.) What are the two possible lengths of the box, if its volume is 2000 in3? what is the smallest and largest length.
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