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Two cities are 3950 miles apart. A plane leaves one of them, traveling towards the other at an average speed of 390 miles per hour. At the same time a plane leaves the other, traveling towards the first, at an average speed of 400miles per hour. How long will it take them to meet?
For each of the following pairs of numbers, use the Euclidean algorithm to compute gcd(a, b) and to find integers x, y such that ax + by = gcd(a, b)
A study reposted that 48% of American adults take at least two sick days per year when they are not really sick. In a random sample 30 of American adults:
A gun has a muzzle speed of 70 meters per second. What angle of elevation should be used to hit an object 190 meters away? Neglect air resistance and use 9.8 as the acceleration of gravity.
Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues.
Find the general solution to the differential equation: t2dy/dt+t(t+2)y=et t>0
The greenhouse I a building for my wife is 6 feet longer than it is wide. Write an algebraic expression for the perimeter if the length is expressed as x. If x equals 20, what id the perimeter?
The number 1 + √2 is a root of a cubic polynomial t3 + at2 + bt + c with rational coefficients. Prove that this polynomial has three real roots and one root is a rational number.
a random sample of 450 students from a wide geographic area indicated that 55 attended private schools. Estimate the true population of students attending private schools with 90% ci.
Determine whether the mean value Theorem applies to the following functions on the given interval [a,b] and if, so find or approximate the point(s) that are guaranteed to exist by the mean value theorem.
collect data using your sample design and appropriate collection methods to maintain data validity.bull prepare a 2- to
Angie is making wreaths to sell at a craft show. She has 6.5 yards of ribbon. Each wreath has a bow made from 1 1/3 yards of ribbon. How many bows can she make
There are four basket-ball players A, B, C, D. Initially, the ball iswith A. The ball is always passed from one person to a different person. In how many ways can the ball come back to A after sevenpasses? (For example A → C → B → D → A → B → C → ..
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