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Yuliya22 [10]
1 year ago
8

Find card(B) given that B={1,3,5,7,9,….9907}

Mathematics
1 answer:
Shkiper50 [21]1 year ago
4 0

The value of card(B) is card(B) = 4954

<h3>How to determine the card(B)?</h3>

The set is given as:

B={1,3,5,7,9,….9907}

The above set is the set of odd numbers from 1 to 9907.

The number of elements is the cardinality

And it can be calculated using

L = a + (n - 1)d

Where

L = 9907

a = 1

d = 2

So, we have:

9907 = 1 + (n - 1)2

Subtract 1 from both sides

9906 = (n - 1)2

Divide by 2

n - 1 = 4953

Add 1 to both sides

n = 4954

This means that

card(B) = 4954

Read more about sets at:

brainly.com/question/2166579

#SPJ1

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The answer for number one is 4. 

How do you simplify the square root of 4? It's simple. What times itself equals 4?   The answer would be 2! And because its √4×√4 it is simplified into 2×2=4

For number 2  the same thing applies. What times itself equals 12?

This one is a little tricky because it is not a perfect square (like how √4 is.)

But the square root of 12 is 3.46, which we can round to about 3.5.

Now what is the square root of 6? Once agian it is not a perfect root so the answer will be a decimal. 2.44 or rounded to 2.45. 

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For the third question what is the square root of 7? The answer would be  about 2.65.
Remember PEMDAS. Parenthesis, exponents, multiply, divide, add, subtract. (yeah you know this:)
First comes parenthesis. SO 1 minus 2.65 is equal to  - 1.65.
Next set of parenthesis is 1+ the square √7 so it would be the opposite of what we just did. So 1 plus 2.65. That equals 3.65.

Now when there are 2 sets of parenthesis next to eachother )( 
That means we need to MULTIPLY the two sides.
So 
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Last but not least Number 30. It might look scary but  its not.

What is the square root of 2? 
Its about 1.5. 
The fraction is just another form for  this  3÷1.5 
The answer is 2. 

Hope this was Helpful, sorry it was a little long but you needed an explanation :)



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