Doubling the side-lengths will multiply the area by four.
Proof:
Let the side-lengths of the rectangle by x and y. Clearly, the area will be x*y=xy. The new rectangle will have side-lengths 2x and 2y, and thus area 2x*2y=4xy. 4xy/xy=4 - hence, the new rectangle has four times the area of the old one.
The function is invertible on either side of the vertex. There are many possible answers. Ones that include the vertex are ...
x ≥ 3
or
x ≤ 3
I think its 20 but I'm not sure
Answer:
<em>A negative correlation is when one variable increse as the other decreases.</em> Is represented with a -1 value in contrast with +1 that represents positive correlations.
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I can only thin of a hot and miss method to do this . That is using Stirlings approximation for n!-
ln n! = approx n ln n - n
so if we try n = 60 this gives 4.2796 * 10^80
so we could try higher values:-
n = 65 gives an 89 digit number
n = 70 gives 98 digit number
n=71 gives me an memory error on my calculator!
Lets try an online calculator
Web2.0 calculator gives a 101 digit number or n=71
70 is your answer
