The surface area of a sphere is A = 4π R²
The volume of a sphere is V = (4/3) ( π) (R³)
The ratio of (surface area) to (volume) is
4 π R² / (4/3) (π) (R³)
Divide top and bottom by 4π : R² / (1/3) (R³)
Multiply top and bottom by 3: 3 R² / R³
Divide top and bottom by R² : 3 / R .
For the Earth,
A / V = (3) / (3,960 miles) =<em> 0.00076 per mile </em>(rounded)
this one is hard
i would go with b
BUT IM NOT SURE IF ITS 100% correct
so if you want to trust me, trust me.
but, i don’t trust myself on this one lol :)
tell me if you got it right.
Hey there!
What we need to do here is to combine like terms.
First terms: 8x + 4x = 12x
Second terms: -2y + 4y = 2y
Last terms: -6 (there’s only one of these)
Putting it all together, we have:
12x + 2y - 6
This doesn’t match with any of the options given, however I see that the first option is cut off, so I assume that this is the first option.
Your answer is a. 12x + 2y - 6
How this helps!
Answer: The correct option is (d)
Step-by-step explanation: The given steps in rewriting the expression
as a product of three factors are as follows:
![\textup{Step 1: }x^3-9x+x^2-9\\\\\textup{Step 2: }x^3+x^2-9x-9\\\\\textup{Step 3: }x^2(x+1)-9(x+1).](https://tex.z-dn.net/?f=%5Ctextup%7BStep%201%3A%20%7Dx%5E3-9x%2Bx%5E2-9%5C%5C%5C%5C%5Ctextup%7BStep%202%3A%20%7Dx%5E3%2Bx%5E2-9x-9%5C%5C%5C%5C%5Ctextup%7BStep%203%3A%20%7Dx%5E2%28x%2B1%29-9%28x%2B1%29.)
We are given to select the correct option that shows the next two steps to rewrite the expression.
We can factor the given expression as follows:
![x^3-9x+x^2-9\\\\=x^3+x^2-9x-9\\\\=x^2(x+1)-9(x+1)\\\\=(x^2-9)(x+1)~~~~~~~~~~~\textup{[Step 4]}\\\\=(x-3)(x+3)(x+1).~~~~~~~\textup{[Step 5]}](https://tex.z-dn.net/?f=x%5E3-9x%2Bx%5E2-9%5C%5C%5C%5C%3Dx%5E3%2Bx%5E2-9x-9%5C%5C%5C%5C%3Dx%5E2%28x%2B1%29-9%28x%2B1%29%5C%5C%5C%5C%3D%28x%5E2-9%29%28x%2B1%29~~~~~~~~~~~%5Ctextup%7B%5BStep%204%5D%7D%5C%5C%5C%5C%3D%28x-3%29%28x%2B3%29%28x%2B1%29.~~~~~~~%5Ctextup%7B%5BStep%205%5D%7D)
Therefore, the next two steps are
![\textup{Step 4: }(x^2-9)(x+1);~\textup{Step 5: }(x-3)(x+3)(x+1).](https://tex.z-dn.net/?f=%5Ctextup%7BStep%204%3A%20%7D%28x%5E2-9%29%28x%2B1%29%3B~%5Ctextup%7BStep%205%3A%20%7D%28x-3%29%28x%2B3%29%28x%2B1%29.)
Thus, option (d) is corect.
There are 8R6 groups of rocks.