Answer:
39
Step-by-step explanation:
the first three call 3, making it 3*3, then each of them will get 3 more, making it 3+(3*3)+(3*3*3),3+9+27, 39
Answer:
If you add it the opposite then it would have a larger sum
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
you reduce the fraction to get the scale factor. so 8/12 reduces down to 2/3 which is the scale factor
Not an expertise on infinite sums but the most straightforward explanation is that infinity isn't a number.
Let's see if there are anything we missed:
∞
Σ 2^n=1+2+4+8+16+...
n=0
We multiply (2-1) on both sides:
∞
(2-1) Σ 2^n=(2-1)1+2+4+8+16+...
n=0
And we expand;
∞
Σ 2^n=(2+4+8+16+32+...)-(1+2+4+8+16+...)
n=0
But now, imagine that the expression 1+2+4+8+16+... have the last term of 2^n, where n is infinity, then the expression of 2+4+8+16+32+... must have the last term of 2(2^n), then if we cancel out the term, we are still missing one more term to write:
∞
Σ 2^n=-1+2(2^n)
n=0
If n is infinity, then 2^n must also be infinity. So technically, this goes back to infinity.
Although we set a finite term for both expressions, the further we list the terms, they will sooner or later approach infinity.
Yep, this shows how weird the infinity sign is.
Answer: 4) The center is located at (1, 3), and the radius is 6
Step-by-step explanation:
Solve the general equation of the circle.
x^2 -2x +1+ y^2-6y+9= 26+1+9 (x-1)^2+(y-3)^2=36=6^2
Hence, the coordinates of the center (1,3) And the radius will be 6