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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?
A 380 in. piece of wire is divided into two pieces and each piece is bent into a square. How should this be done in order to minimize the sum of the areas of the two squares?
Harry and Melissa Jacobson produce handcrafted furniture in a workshop on their farm. They have obtained a load of 600 board feet of birch from a neighbor and are planning to produce round kitchen tables and ladder-back chairs during the next thre..
A textbook store sold a combined total of 304 history and sociology textbooks in a week. The number of history textbooks sold was three times the number of sociology textbooks sold. How many textbooks of each type were sold?
write a polynomial function f(x) of least degree that has rational coefficients, a leading coefficient of 1, and 1, 2, and 3 as zeros.
find the terminal point p(x,y) on the unit circle determined by the given value of t.
on a centimeter dot array, draw all possible rectangles with an area of 16 sq cm and sides whose lengths are whole centimeters. label the lengths of two adjacent sides of each rectangle.
Suppose that a county ordinance requires a 2 1/5% 'fall' for a sewage pipe from the house to the main pipe at the street. How much vertical drop to nearest foot must there be for a horizontal distance of 55 feet.?
what is the union of sets x and y b. what is the intersection of sets x and y c. create your own set z that is a subset of x
Consider the following relation R on the set of positive integers: R = {(x,y)|x and y have the same prime divisors}
a rancher has 450 ft. of fencing with which to enclose two corrals. The rancher wishes to contruct two corrals next to each other.
Flying against the jetstream, a jet travels 4550km in 7 hours. Flying with the jetstream, the same jet travels 5340km in 6 hours. What is the speed of the jet in still air, and what is the speed of the jetstream?
a grain of silo has the shape of a right circular cylinder topped by a hemisphere, as shown below. if the silo is to have a capacity of 504(pie) ft^3, determine the radius and height of the silo that requires the least amount of area to construct.
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