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An (infinite) set C is said to be countable if there exists a bijection between C and the set N of natural numbers. This means that the elements of C can be listed as c1, c2, c3, ···so that every element of C will appear, sooner or later, in the list. For example, Z is countable, because you can list all the integers in the order 0, 1,-1, 2,-2, 3,-3, ···. Is the set Q of all rational numbers countable? How about R and C?
melody used 3 as the value of pi to estimate the area of a circular patio that had a diameter of 26 feet. what is melody's estimate
A particle moves along the x-axis in such a way that its acceleration at time t for t>0 is given by a(t)=3/t^2. When t=1, the position of the particle is 6 and he velocity is 2.
A 410-ft weather tower used to measure wind speed has a guy wire attached to it 175 ft above the ground. The angle between the wire and the vertical tower 57degrees. Determine the lengh of the guywire.
At 1 P.M., ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 25 km/h. How fast is the distance between the ships changing at 5 P.M.? (Round your answer to one decimal place.)
Modelling the Rules of a Game. Alex and Mark are playing a game. The goal is to get to 100. The first player picks a whole number from 1 to 10, inclusive, and then the second player picks a whole number from 1 to 10 and adds it to the score so far..
Write and equation of the tangent line to the graph of y = f(x) at the point on the graph where x has the indicated value. f(x) = (3x^2 + 5x + 4)(4x + 3), x=0
List the coordinates of any two points on the graph in (x, y) form. The numbers on the horizontal axis are 0.5, 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, and 4.0.
The Wilcox fam is considering buying a dog. They have established several criteria for the family dog; It must be one of the breeds listed in the table, must not shed, must be less than 16 in tall, and must be good with children.
Solve problem of the Rhind Mathematical Papyrus by the method of false position : A quantity and its 2 are added together and from the sum 1 of the sum is subtracted 3 3 and 10 remains. What is the quantity?
The probability that a house in an urban area will be burglarized is 5%. If 50 houses are randomly selected, what is the probability that one of the houses will be burglarized?
a regular hexagon is inscribed in a circle with a diameter of 6.4 centimeters. what is the apothem of the hexagon?
In spring 2006 the average monthly rent was $1,355, an increase of 3.6percent from 2005. What was the average monthly rent in 2005.
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