The Neptune's time period of orbit is 164.3 earth years.
We have given that the mass of the sun is 2 × 1030 kg.
The distance between neptune and the sun is 30 au
<h3>What is the mathematical expression of Kepler's law ?</h3>
Where T is in earth years, a is astronomical units and
M = solar masses.
4π²/GM = 1,
Therefore we get
Therefore, the Neptune's time period of orbit is 164.3 earth years.
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Answer:
There's a lot of them.
There are many different ways to calculate . The ones used by computers to generate tons of digits are usually infinite series.
The series that has been prominent in recent records for the most digits of pi is the Chudnovsky algorithm.
The algorithm is this:
For faster performance, it can be simplified to this:
Other algorithms have been used, but right now this is the one that is being used to set the recent records.
There are also some approximations that are used because they are very easy to calculate.
first, can be used to calculate a fairly accurate pi, but a better rational approximation is This fraction is actually accurate to 6 digits and it is the best approximation of in simplest form and with a denominator below 30,000.
There are several other approximations and if you want to learn more I would recommend looking at the Wikipedia page which has tons of algorithms for pi.
92 multiplied by 68 equals 6256
Answer is 6256
Answer:
First turn 3x + y = -5 to slope-intercept form (y=mx+b) by subtracting 3x in order to move it to the other side, to get
y = -3x - 5.
So now you have all three lines in proper slope-intercept form. (Don't worry about
y = 7 - 3x, it's still in slope-intercept form, despite the y-intercept and slope being swapped.)
<u>Here are the lines rewritten below</u>.⤵⤵⤵
1. y = -3x - 5
2. y = -3x + 7 or y = 7 - 3x (either way works)
3. y = -3x + 2.5
As we can see, all three lines are parallel.
Because all the slopes are the same and the y-intercepts are different. If the slopes were different, the lines wouldn't be parallel.
I also graphed the lines above, so you can see what I mean.⤴⤴⤴ Hope this helped :)
Answer:
Graph A
Step-by-step explanation:
Graph A has a better fit line because the data fits more closely to it without as much spread. In Graph B, the line fits 2 points and falls in the middle but has a much wider spread of data.