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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
It is 5*1099 or 5 followed by 99 zeros. Formally, its name is five duotrigintillion, but use that phrase only if you want to be pretentious and obfuscate, rather than communicate.
How many sides does it have if a regular polygon has interior angles of 165 degrees?
Each exterior angle is 180-165 = 15 degrees and so it has 360/15 = 24 sides
Assuming that Charlie increased his account by 5% and not 5, they had 2800 in May and 2940 in June.
Each multiple choice question was worth 5 points.
Why do you say that pi is an imaginary number?
If I ask Answers™ "what is pi squared?" I find "It is approximately equal to 3.14 but in reality pi is an imaginary number that has no end." The answer also goes on to tell me that imaginary numbers cannot be multiplied by themselves. Now i must see what y'all have to say about imaginary numbers...
What is the equilibrium constant for the reaction h2g plus co2g h2og plus cog?
Keq = [H2O][CO]
[H2][CO2]
What is the speed of light through the liquid whose refractive index you have determined?
If the refractive index is k then the speed of light is c/k metres per second where c is the speed of light in vacuum (approx 299,792,458 m/s).
How do you find constant of proportionality?
You need to know the basic relationship between the variables: whether they are directly of inversely proportional to each other - or to a power of the other. Also, you need one scenario for which you know the values of both variables.
So suppose you have 2 variables A and B and that A is directly proportional to the xth power of B where x is a known non-zero number. [If the relationship is inverse, then x will be negative.]
Then A varies as B^x or A = k*B^x
The nature of the relationship gives you the value of x, and the given scenario gives you A and B. Therefore, in the equation A = k*B^x, the only unknown is k and so you can determine its value.
Why you use k as constant in proportional values?
Any letter of the alphabet - or indeed other alphabets - can be used. The letters c and k are the more common symbols because they represent the phonetic start of "constant".
Variables are often represented by the initial letter of the variable: v for velocity, t for time, m for mass and so on, or by letters at either end of the alphabet: a, b, c or x, y, z. Clearly, it can be confusing to use any of these as the constant of proportionality. So, through convention, k was selected as the default symbol.
Why universal force is called universal?
Because according to our current understanding of the universe, the force is believed to behave the same everywhere in the universe.
It means that the force of electrical attraction (or repulsion) between two particles with units charges will be greater than the gravitational attraction between two particles with unit mass which are the same distance apart.
What does a number chart look like that has all the biggest numbers?
A chart like that would look pretty empty, since
there's no such thing as a "biggest number".
Mod is essentially the remainder when a given number is divided by the base (of the modulus).
So
10/3 has a remainder of 1 and so 10(mod 3) = 1
11/3 has a remainder of 2 and so 11(mod 3) = 2
Are there numbers bigger than one million?
Yes. Some examples include one billion, one trillion, and one quadrillion.
If it takes 1 minute to write 100 zeros how long does it take to write 1000 zeros?
1000/100=10 10 x 1 =10 the answer is 10 mins
Are imaginary numbers real numbers?
When people started classifying numbers in different ways Some numbers were grouped together and called Real numbers. Solutions that would create Imaginary numbers were simply explained away as impossible, later the rules for working with these numbers, but, even though they are not considered Real numbers some math operations will create Real number answers.
What the significance of golden ratio?
The golden ratio (or Phi) is a ratio that is very commonly found in nature. For instance, some seashells follow a spiraling path at the golden ratio.
Is the golden ratio evidence of a grand design a massive freak coincidence or something else?
The golden ratio is the solution to x-1 = 1/x.
That is, it's the number whose inverse is the same as itself minus one.
I wouldn't call it a coincidence that there is a solution. It's just ... true?
Like other simple mathematical constants, it pops up in geometry, trigonometry, number sequences, fractals, etc. I'm not sure if these count as coincidences to you or not.
It shows up in nature, too, although not always precisely, and not exclusively. There's lots of math in nature. There's math in everything!
It's also used in art and architecture.
I guess I wouldn't call it more of a massive freak coincidence than any other mathematical truth. Or is there some other reason to?
What is 120 as a mixed number?
I think you need to seriously change your definition of a mixed number.
23 1/3 is a mixed number, you butt fart. 120 is a WHOLE NUMBER.
