Answer:
The constant of proportionality is 3.
Step-by-step explanation:
6/2 is 3 and so on.
Correct me if I'm wrong
Answer:
9.983796
Step-by-step explanation:
Every time, it becomes smaller by 5/2 (6 divided by 5/2 is 12/5.... 12/5 divided by 5/2 is 24/25)
So, the first seven terms are 6, 2.4, 0.96, 0.384, 0.1536, 0.06144, 0.024756. Add them together and your answer would be 9.983796
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Answer:

Step-by-step explanation:
It is given that triangle AOC intersects a circle with center O, side AO is 10 inches and the diameter of the circle is 12 inches, thus
OC is the radius of the circle and is equal to
.
Now, From ΔAOC, using the Pythagoras theorem, we get

⇒
⇒
⇒
⇒
32+(0.8)= 32.8 is that the answer? HOpe this helped
From your previous questions, you know
(3<em>w</em> + <em>w</em>⁴)' = 3 + 4<em>w</em>³
(2<em>w</em>² + 1)' = 4<em>w</em>
So by the quotient rule,
<em>R'(w)</em> = [ (2<em>w</em>² + 1)•(3<em>w</em> + <em>w</em>⁴)' - (3<em>w</em> + <em>w</em>⁴)•(2<em>w</em>² + 1)' ] / (2<em>w</em>² + 1)²
That is, the quotient rule gives
<em>R'(w)</em> = [ (denominator)•(derivative of numerator) - (numerator)•(derivative of denominator) ] / (denominator)²
I'm not entirely sure what is meant by "unsimplified". Technically, you could stop here. But since you already know the component derivatives, might as well put them to use:
<em>R'(w)</em> = [ (2<em>w</em>² + 1)•(3 + 4<em>w</em>³) - (3<em>w</em> + <em>w</em>⁴)•(4<em>w</em>) ] / (2<em>w</em>² + 1)²