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sergeinik [125]
3 years ago
10

X+7/(7×+35)*(×^2-3×-40)/×-8

Mathematics
2 answers:
Leona [35]3 years ago
4 0
I think it would be (x+7)/7
Greeley [361]3 years ago
4 0

2016 breaks down into 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7, which is the same as 2<span>5 </span>x 3<span>2 </span>x 7

When I saw this I thought that I would leave 7 as it is, and then try to make 2<span>5 </span>and 3<span>2 </span>(32 and 9) out of (10 9 8) and (6 5 4 3 2 1).

If this worked I’d have (10 9 8) x 7 x (6 5 4 3 2 1) = 2016

I quickly noticed that 10 – 9 + 8 = 9. And then playing around that

(6x5) - 4 + 3 + 2 + 1 = 32.

So I had a solution: (10 – 9 + 8) x 7 x ((6x5) – 4 + 3 + 2 + 1) = 2016

It is a pretty dull solution though. The most elegant has to be this one, tweeted earlier by James Annan (and subsequently by others):

<span>(10 x 9 x 8 x 7 x 6)/(5 + 4 + 3 + 2 + 1) = 2016</span>

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The radius of a sphere is multiplied by . What effect does this have on the volume of the sphere? A. The volume of the sphere is
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Answer:

Option A. The volume of the sphere is multiplied by 1/343.

Step-by-step explanation:

The volume of a sphere can be obtained by the following formula:

V = 4/3πr^3

Let the initial volume (V1) of the sphere be:

V1 = 4/3πr^3 = (4πr^3)/3

Now, if we multiply the radius by 1/7, then the new volume (V2) of the sphere will be:

V2 = 4/3 x π x (1/7r)^3

V2 = 4/3 x π x 1/343r^3

V2 = (4πr^3)/1029

Now we determine the ratio of V2 : V1 as shown below:

V2/V1 = (4πr^3)/1029 ÷ (4πr^3)/3

V2/V1 = (4πr^3)/1029 × 3/(4πr^3)

V2/V1 = 3/1029

V2/V1 = 1/343

V2 = 1/343 x V1

Therefore, the volume of the sphere is multiplied by 1/343.

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