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The mean life M of an atom in a radioactive substance is given by
M = k 0∫∞te-kt dt,
where k is a constant. For the radioactive carbon isotope 14C the value of k = 0.000121 year-1. Use this to find the mean life of a 14C atom.
A man was engaged on a job for 30 days on the condition that he would get a wage of Rs. 10 for the day he works, but he have to pay a fine of Rs. 2 for each day of his absence. If he gets Rs. 216 at the end, he was absent for work for how many day..
A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window with a perimeter of 25 feet?
It travels 430 going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?
If A and B are normal subgroups of G such that G/A and G/B are abelian, prove that G/(A intersect B) is abelian
Solve the two first order ODEs below for three time steps using h = 0.2 and RK 2. x'1=x2; x1(0)=.5 x2'=-x1-2x2 + e^-t ; x2(0)=0
Cantor's Diagonal Argument, Here we present Cantor's diagonal argument, which proves that the cardinality of the power set 2^S
identify any challenges you have in setting up a time-series analysis in excel. explain what they are and why they are
decimal move in a conversion from kilograms to milligrams
A certain scientific theory supposes that mistakes in cell division occur according to a Poisson process with rate 2.5 per year, and that an individual dies when 196 such mistakes have occured. Assuming this theory, find the variance of the lifeti..
A montly cost of a long distance phone plan in dollars is a linear function of the total calling time in minutes. When graphed the funtion gives a line with a slope of 0.13.
in automobile manufacturer has determined that 30 of all gas tanks that were installed on its 2002 compact model are
assume the following transactions occurred during the year. the annual accounting period ends on december 31.jan.
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