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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.
A rectangular park measures 300 ft by 400 ft. A sidewalk runs diagonally from one corner to the opposite corner. Find the length of the sidewalk.
Find the formulas for computing the check digits for the international standard book number(ISBN),for both ISBN-10 and ISBN-13.Hence find the check digit for the book with ISBN '0-8176-4227'
One card is selected from the box at random, and the color on one side is observed. If this side is green, what is the probability that the other side of the card is also green?
Consider the polar point P(sqrt2, pi/4)
Use the simplex method to determine the optimal production schedule so as to maximize profits. Show that the geometric method gives the same solution.
A car rents for $37 per day plus 20cent per mile. You are on a daily budget of $95. What mileage will aloow you to stay within your budget?
After spending $4000 for tables and $2200 for chairs, a convention center manager finds that 20% of his original budget remains. Find the amount that remains. Round to the nearest dollar.
A kite is flying 70 feet above the ground and is attached to a string tied to a stake on the ground. The angle of elevation formed by the string and the ground is 40°. Find the length of the string to the nearest foot.
Choose a specific algebra concept that you think you understand well, and explain it in your own words. Then, present a math problem for your classmates to solve making use of this concept.
A=(LP)/2-L^2, gives the area of a rectangle of perimeter P and length L. Suppose that you have 600 feet of fencing which you plan to use to fence in a rectangular area of land.
Standing at a crosswalk, you hear a frequency of 570 Hz from the siren of an approaching ambulance. After the ambulance passes, the observed frequency of the siren is 488 Hz. Determine the ambulance's speed from these observations.
Amy plans to paint both sides of a fence whose base is in the xy-plane and is given by the points (x,y) where x = 30cos^3(t) and y = 30sin^3(t) for 0
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