Answer:
364/27
Step-by-step explanation:
9, 3, 1, ... is a geometric sequence with common ratio r = 1/3.
The nth term is a1rn-1.
If a1rn-1 = 1/27, then 9(1/3)n-1 = 1/27
32(3-1)n-1 = 3-3
3231-n = 3-3
33-n = 3-3
3-n = -3
n = 6
The sum, Sn, of the first n terms of a geometric sequence is given by Sn = a1(1 - rn) / (1 - r).
So, 9 + 3 + 1 + ... + 1/27 = S6 = 9(1 - (1/3)6) / (1 - 1/3)
= 9(1 - 1/729) / (2/3)
= (27/2)(728/729) = 364/27
I conclude the triangle is acute
Answer:
The correct answer is A. and B.
Step-by-step explanation:
If it's flipped over to the other side, it will still be the same shape and the same size.
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The answer is: (2x+3) (3x+1)
Answer:
Humans are complex organisms made up of trillions of cells, each with their own structure and function.
Scientists have come a long way in estimating the number of cells in the average human body. Most recent estimates put the number of cells at around 30 trillion. Written out, that’s 30,000,000,000,000!
These cells all work in harmony to carry out all the basic functions necessary for humans to survive. But it’s not just human cells inside your body. Scientists estimate that the number of bacterial cells in the human body likely exceeds the number of human cells.
