Len wants to write the number 100000 using a base of 10 and an exponent. What number should he use as the exponent
2 answers:
For this case what we must do is use a base as a number and an exponent.
We must write an expression of the form:
Where,
b: base
a: exponent
We then have the following number:
We can write the number as:
By definition we have:
In the multiplication, if we have the same base, the exponents are added:
Answer:
A number that should have used as the exponent is:
5
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Let x be the number of pages of advertisements.
Write a proportion from the table:
of a page of advertisment - 5 pages in a magazine
x pages of advertisment - 98 pages in a magazine,
then
Find x:
Answer: 13 whole pages and of 14th page are advertisments, so 14 pages contain advertisments.
Answer with Step-by-step explanation:
Let Z be a set of integers
We have to prove that is odd for all value of x
Z.
There are two cases
1.When x is an odd integer number
2.when x is even integer number
1.When x is an odd integer number
When x is positive odd integer
Then is positive odd number (because square of odd positive number is always positive an odd number )
5x is also odd number
-5x -1 = -even number
Suppose x=3
Then -15-1=-16
Odd number - even number=Odd number
Hence , is an odd number .
When x is negative odd number
Then x square is positive odd number and 5x is negative odd term term
Therefore,odd number + odd number -1=Even number -1=Odd number
Hence is an odd number.
2.When x is an even number
When x is positive even number
x square is positive even number and 5x is positive even number
Even number -Even number -1 =Even number -odd number =Odd number
Suppose x=4
=16-20-1=-5=Odd number
When x is negative even number
Then x square is positive even number and 5x is negative even number
=Even number +Even number -1=Even number -1=Odd number
Hence, for all elements of Zis odd.