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Solve each of the following variation problems by setting up a formula to express the relationship, finding the constant, and then answering the question.
Problem:
The time required to drive a fixed distance varies inversely as the speed. It takes 5 hr at a speed of 80 km/h to drive a fixed distance. How long will it take to drive the same distance at a speed of 70 km/h?
a newspaper finds that the mean number of typographical errors per page is three. find the probability that a exactly
A square garden plot measures 180 square feet. A second square garden plot measures 405 square feet. How many more feet of fence will the second garden plot require over that required for the first garden plot?
Write equations of the tangent and normal lines to the curve x3y+xy4 = 10 at (2,1). Find the points on the graph of the polynomial f(x) = 2x3 + 3x2 - 36x + 1 where the tangent line is horizontal
Write the statements in symbolic form using the symbols ~, ?, and ? and the indicated letters to represent component statements.
provide one specific example to show how you can use the expected value computation to assess the fairness of a game
question the perimeter of a rectangle is 54. the length of the rectangle is three more than three times the width. find
Repeat Exercise, assuming u and v are eigenvectors of A that correspond to eigenvalues 1 and 3, respectively.
Two cyclists leave a city at the same time, one going east and the other going west. The westbound cyclist bikes 5 mph faster than the eastbound cyclist. After 6 hours they are 246 miles apart. How fast is each cyclist riding?
The actual distance between city C and city D is 1540 kilometers. How far apart are city C and city D on this globe?
There are 7 people fishing at Lake Connor: 5 have fishing licenses, and 2 do not. An inspector chooses two of the people at random. What is the probability that the first person chosen has a license and the second one does not? Write your answer a..
An automobile equipped with a thermometer is heading southward at 100 km/hr, bound for a location 300 km away.
For positive constants k and g, the velocity, v, of a particle of mass m at time t is given by v = mg/k(1 - e-kt/m).
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