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How many groups of order 21 are there up to isomorphism ?
A wooden artifact from an ancient tomb contains 80 percent of the carbon-14 that is present in living trees. How long age was the artifact made? (The half-life of carbon-14 is 5730 years.)
Define a relation R on the set of all integers Z by xRy iff x+y = 3k for some integer k. Is R an equivalence relation on Z? Why or why not?
If you know the order of the normalizer N of can you find the generators for N? Give a solid math argument why this is correct and please keep the answer as simple as possible at the same time.
Use the rational root theorem to list all possible rational roots of the polynomial equation. (Enter your answers as a comma-separated list.)
What is the probability that at least one inspector will find a defective widget?
Find all points of intersection of the curves (r^2)=4sin(2x) and (r^2)=4cos(2x). Give your answers as ordered pairs in cartesian coordinates, in order of increasing radius and increasing angle.
By reading values from the given graph of f, use five rectangles to find a lower estimate and an upper estimate for the area under the given graph of f from x = 0 to x = 40.
The expected future of Achworth, which presently has 2000 residents, can be approximated by the formula y=2000(e).02t , where t is the number of years in the future.
Is a directed graph weakly connected if there is a path from a to b and from b to a whenever a and b are vertices in the graph?
A car is traveling at 100 km/h when the driver sees an accident 80 m ahead and slams on the brakes. What constant deceleration is required to stop the car in time to avoid a pileup?
How many eighths rest are equal to sex sixteenth rest
Find the volume of the solid generated by the region in the second quadrant bounded above by the curve y=-x^3, below the by the x-axis, and on the left by the line x=-1 about the line x=-2
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