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Mathematical Constants
Intriguing, ubiquitous, and at times mysterious, numerical constants set the allowable limits for all universal phenomena. Whether your questions involves π, Avogadro's number, Planck's constant, the atomic mass unit, or any of the other multitudes of immutable numbers used in science, this is the category where they should be asked.
2,332 Questions
How come two of the A series paper do not have a perfect length to width ratio of 1.414?
The correct ratio is not 1.414 but sqrt(2), which is an irrational number.
Why is it necessary to use the universal gravitation constant in the universal law of gravitation?
To rationalize the units on both sides of the equation, E= -GmM/r, e.g if feet is used as the unit of distance r then the Constant G would have a different value.
Can elementary charge be changed?
Yes and no. Technically speaking the charge of a subatomic particle such as an electron or proton is always the same, this is why they are called constants. However, the methods that have been employed to determine the actual value of the elementary charge may not be the correct value. This would be due to experimental error, etc.
Why are the first 12 numbers of pi 3. 14159265358?
It is because that is what the ratio pi is equal to.
The P/E looks at the relationship between the stock price and the company's earnings.
For example, a company with a share price of $40 and an EPS of 8 would have a P/E of 5 ($40 / 8 = 5).
Well, I look at it this way:
First of all, I'm going to calculate how many possibilities there are for the other 4 digits.
While doing that, I'm going to make a couple of assumptions that kind of go along
with your examples. I'm assuming that:
-- There are no other 9's or 1's in the phone number. Only the '9 1 1 ' that appears somewhere in it.
-- The other 4 digits can include repeats, like the zero in your second example.
So, for the other 4 digits, each can be any one of 8 . . . just not a '9' or a '1' . . .
and the total number of possibilities is 44 = 4,096 .
For each of these sets of 4 other digits, how many ways can the '9 1 1 ' appear ?
-- The last ' 1 ' can be in any position from the 3rd to the 7th = 5 places. For each of these ...
-- The middle ' 1 ' can be in any position from the 2nd to the 6th = 5 places. For each of these ...
-- The ' 9 ' can be in any position from the 1st to the 5th = 5 places.
Total number of ways for the '911' to appear = 5 x 5 x 5 = 125 ways,
for EACH of the appearances of the other four digits.
Total number of possible phone numbers = 4,096 x 125 = 512,000
One simple way to test this number to see whether it makes sense:
If there were no restrictions, how many 7-digit phone numbers could you make ?
The only rule would be that the first digit couldn't be zero, so everything from
100-0000 to 999-9999 would qualify. That's 9 million.
I'm proposing something a bit less than 512,000 for the answer ... I realize now that
I allowed the first digit to be zero, and that doesn't play. But I don't know immediately
how to handle that, and frankly, I no longer feel like it right now.
I hope one of the contributors who really knows what he's doing in this topic
will jump in here and tie up the loose end for you.
No. A vacuum is nothing. Most books define it as the absence of all matter. So if it is nothing it cannot have speed.
How do you take three numbers and find the greatest number among them?
Greatest means largest. Choose the largest number of all three.
Examples:
145, 67, and 212
It might be easier to put them in order. The smallest is 67 because it does not have a digit in the hundreds place. The middle one is 145 because it has a 1 in the hundreds place, which is less than the 2 that 212 has in the hundreds place. The largest is 212.
1932, 1011, and 1925
They all have a 1 in the thousands place, so look at the hundreds place. 1011 has a 0 in the hundreds place, so it is the smallest. Both 1932 and 1925 have a 9 in the hundreds place, so look at the tens place. Since 3 is greater than 2, 1932 is larger than 1925. The largest is 1932.
0.12, 0.56, and 0.34
They all have a 0 in the ones place, so look at the tenths place. Since 5 is larger than 1 and 3, it is the largest decimal. The largest is 0.56.
How many dollars are in a googol?
None. A googol is a number and has no dollars or any other currency in it.
When a small number is divided by a big number how many zeros can be added using a decimal?
only one zero can be added using a decimal
What are the first 101 numbers in pi?
3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679
When would you use a number line in life?
When you are starting to learn about numbers, their addition and subtraction.
