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3 years ago

The prime factorization of 441 is

Mathematics

2 answers:

OLga [1]3 years ago

8 0

441 is odd, so we can't divide it by 2.

Since the sum of its digits is $4+4+1=9$ , which is divisible by 3, we can divide 441 by 3, and we have

$441\div 3=147$

Which is still divisible by 3, because $1+4+7=12$ . We have

$147\div 3=49$

49 is not divisible by 3 anymore, nor by 5 (it doesn't end with 0 or 5).

It is divisible by 7 though, we have

$49\div 7=7$

and finally,

$7\div 7=1$

So, the factorization of 441 is

$441=3^2\times 7^2$

amm18123 years ago

7 0

Answer:3x3x7x7

Step-by-step explanation:

441 divide by3=147 remaining 0

147 divide by3=49 remaining 0

49 divide by 7=7 remaining 0

7 divide by 7=1 remaining 0

Therefore the prime factorization of 441 is 3x3x7x7

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2 years ago

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Answer:

(a) The probability that a randomly selected parcel arrived late is 0.026.

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Consider the tree diagram below.

(a)

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(d)

Compute the probability that a parcel was late was being shipped through the overnight mail service A₂ as follows:

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3 years ago

<img src="https://tex.z-dn.net/?f=%20-%20x%20-%202%20%5Cdiv%20x%28x%20%7B%7D%5E%7B2%7D%20%20-%204%29" id="TexFormula1" title=" -

saw5 [17]

Answer:

Step-by-step explanation:

Hello,

First of all we will take any real number x different from 0, -2, +2 as dividing by 0 is not allowed and then we can write

$\dfrac{( - x - 2)}{x(x^2 - 4)}=-\dfrac{x+2}{x(x-2)(x+2)}=\large \boxed{ -\dfrac{1}{x(x-2)}}$

because we know that

$x^2-4=x^2-2^2=(x-2)(x+2)$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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