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Mathematical Analysis
Mathematical analysis is, simply put, the study of limits and how they can be manipulated. Starting with an exhaustive study of sets, mathematical analysis then continues on to the rigorous development of calculus, differential equations, model theory, and topology. Topics including real and complex analysis, differential equations and vector calculus can be discussed in this category.
2,575 Questions
That is not even true!
100% of 3000 = 3000
50% of 3000 = 1500
. -------- +
. 4500
So 150% of 3000 is 4500
What are the four parts of induction?
1.Show it works for the loest value (substitute into separate ways of finding value)
2.Assume it works for x=k
3.Prove it works for x=k+1 by rearranging into required form
4.conclude
How many times is it 6.53 in a day?
It is 6:53 two times each day. Once at 6:53 AM, and once at 6:53 PM.
Why do you need to write ordinary numbers into scientific notations?
A quick story: A long time ago, scientists were working on a big project where they had to use huge numbers, in the billions in the trillions and quadrillions. One day, a scientist name Billy Bob had to write the number six-hundred quadrillion 10 times so he could give this number to his friends. His hand grew very tired as he added zero after zero.
Finally, he stood up, and said, "My hand freaking hurts and I'm done writing all these damn zeros!"
So, he invented a system were he wrote down exactly how many zeros to add, or, how many times to the right or the left the decimal place should be moved.
For example, 4.5 x 1030 = 45000000000000000000000000000000. If you had to write that number over and over again, you would feel like crap.
Also, it serves another purpose with multiplying and dividing large numbers.
For example:
(4 x 103) x (5 x 106) First, you would multiply the 4 and the 5 to get 20. Then, add the "baby numbers" together to get 9. That would make it 20 x 109, but then you make it 2.0 instead of 20, so by doing that you would also take one away from the exponent (because you move the decimal point one less place), making the final answer 2 x 108. That's A LOT easier to write and multiply than the real numbers.
So, there. Why waste time writing all those digits?!
What is the instruction of adding similar fractions?
The instructions are quite simple, but this is for similar denominators:
1. Line them up.
2. Add the numerators.
3. Put your sum over the same denominator as the other fractions.
4. *ONLY IF THE NUMERATOR IS LARGER THEN THE DENOMINATOR*
Turn the improper fraction into a mixed number. However, if the problem states it wants it as an improper fraction, which normally it won't, leave it as it is.
Anyone can use a calculator if you have the understanding of how it works.
IF you make 30 thousand a year 40 hours a week how much do you make hourly?
$14.42 - an hour. assuming you work 40 hours a week every week of the year.
