The speed of the boat will be 10 mph in still water
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:
Mrs. Buggie should have Subtracted 13 instead of adding 13
LKA = 94°
Step-by-step explanation:
Lets work backwards from the equation so far:
40 = x+ 13
x + 13 = 40
We should subtract 13 because we are adding a number and 13 to 40
Imagine this:
You have 5 apples, but you bought some more and now you have 10
equation would be:
5+x = 10
subtract 5 from 10 to get 5
So you bought 5 apples
Back to the Question:
40 - 13 = 27
3(27) + 13 = 81+13 = 94°
Answer = 94°
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-Chetan K
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Answer:
20%
Step-by-step explanation:
To find the percent increase lets first find the increase.
36-30 = 6
Now divide the increase by the original amount
6/30 = 1/5 = 20%