Answer:
the green one
(1,3)
Step-by-step explanation:
i hope thai help!
Answer:
y=2x+1
Step-by-step explanation:
y is directly proportional to x if it increases as x increases
The statement that "σ(n) < 2n holds true for all n of the form n = p²" has been proved.
Let p be any prime number, and let σ(n) be the sum of all positive divisors of the integer n.
As p is a prime number, and 2 is the smallest prime number, so, p
2
So, the positive divisors of the integer n are: 1,p,p².
As σ(n) represents the sum of all positive divisors of the integer n.
σ(n)=1+p+p²
In order to prove that σ(n) < 2n,for all n of the form n = p².
1+p+p²<2p²
p²-p-1>0
It is know that, p2.
So, p²-p-11
Thus, σ(n) < 2n holds true for all n of the form n = p².
Learn more about prime numbers here:
brainly.com/question/145452
#SPJ1
Step-by-step explanation:
That is so because 1/3 is *not exactly equal to* 0.333333
0.333333 is an approximation of 1/3 which is correct to 6 decimal places.
So 0.333333 x 3 = 0.999999 which is approximately equal to 1.
If you want to be more accurate, you could write the fraction 1/3 everywhere and not write it in floating point form.
1/3 in floating point format will be 0.333333333…..and so on with infinite decimal places. This is because when you try to divide 1 by 3, you get a nonterminating recurring number after decimal point.
Its usually represented by a bar or dot on top of the recurring part
Ex. 1/3 = 0.3bar
(Sorry I can't get the bar on 3 by typing from keyboard)
But let's just say 0.3 bar is 0.333333…and so on to infinity.
When you multiply 0.3bar x 3 you get 0.9bar
= 0.999999….and so on to infinity.
These decimal point figures just a very great approximations of the fraction 1/3.
Hope this helps. Feel free to reply if you still have doubts.
Answer:
4/9 = 20/45
Step-by-step explanation:
divided the numerator of the whole fraction by the fraction missing a number
(in this case, 20 ÷ 4 = 5)
since the numerator and denominator have to be divided by the same number to make an equivalent fraction, you would divide 45 by 5 and would get 9
hope this helped
