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Sliva [168]
2 years ago
9

Suppose A and B represent two different school populations where A > B and A and B must be greater than 0. Which of the follo

wing expressions is the largest? Explain why. Show all work necessary
Mathematics
1 answer:
Llana [10]2 years ago
4 0
I am not sure if you gave all of the information but if you did A because A > B. Did I miss something?
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How do you simplify 2/(square root 2 + square root 2)
larisa [96]

Note that √2 + √2 = 2√2

2/(2√2) = (√2)/2 = 0.707 (simplified)

0.707 is your answer

~

7 0
2 years ago
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Three friends want to meet at a point that is the middle of where they live (point of concurrency) using one of the methods (ang
Alexxx [7]

Answer:  he point where three medians of the triangle meet is known as the centroid. perpendicular altitude, circumcenter, incenter.

Step-by-step explanation:

7 0
1 year ago
Which fraction represents the decimal 0. ModifyingAbove 1 2 with Bar? One-twelfth StartFraction 3 Over 25 EndFraction StartFract
mestny [16]

The considered decimal number is expressed by the fraction given by: Option C: 4/33

<h3>How to convert from decimal to fraction?</h3>

For conversion from decimal to fraction, we write it in the form a/b such that the result of the fraction comes as the given decimal. Usually, to get the decimal of the form a.bcd, we count how many digits are there after the decimal point (if its finite), then we write 10 raised to that many power as denominator, and the considered number without any decimal point as numerator.

For example:

0.99 = \dfrac{99}{10^2} = \dfrac{99}{100}

(10 raised to power k = 1 followed by k zeroes)

<h3>What is the sum of an infinite geometric series?</h3>

The sum of an infinite geometric series having the initial term "a" and the multiplication per term is done by "r" such that r < 1

is given by

S_{\infty} = \dfrac{a}{1-r}

The series would look like a+ ar+ ar^2+\cdots

For the considered case, the given decimal number is

0.\overline{12} = 0.121212\cdots

We can check all the options available one by one, so as to know which one ends up giving this pattern, or we can use another technique as shown below.

0.12121...  = (0.1 + 0.001 + 0.00001 + ... ) + (0.02 + 0.0002 + 0.000002 + ... )

Each of the two series obtained are geometric series with the multiplication factor as 1/100

Using the sum formula for evaluation of an infinite geometric series, and the fact that initial term of first series is 0.1 and that of second series is 0.02, we get:
0.121212... = \dfrac{0.1}{1-1/100} + \dfrac{0.02}{1 - 1/100} = \dfrac{1}{99/100}(\dfrac{1}{10} + \dfrac{2}{100})\\0.121212...  = \dfrac{100}{99}\times(\dfrac{10}{100} + \dfrac{2}{100})\\\\\\0.121212 ... = \dfrac{12}{99} = \dfrac{4}{33}

Thus, the considered decimal number is expressed by the fraction given by: Option C: 4/33

Learn more about geometric series here:

brainly.com/question/16037289

4 0
1 year ago
What is 0.31 as a fraction?
Snezhnost [94]

Answer:

31/100

Step-by-step explanation:

To turn .31 into a fraction we need to multiply it by 100

.31*100=31.

Now we need to divide it by 100

31/100

Since 31 is prime we can not simplify it.


3 0
3 years ago
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Combine like terms. 3m - 6 + m to the 2nd power - 5m + 1
romanna [79]
Your answer would be if i'm correct
M^2-8m-7

If not that one
M^2+8m+7
4 0
3 years ago
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