Answer:
Step-by-step explanation:
Prime factorization requires dividing by primes starting with smallest prime number
402/2=201
201/3=67, 67 is prime so we cannot go further so the prime factorization of 402 is
2X3X67
Answer:
-3.5 or 3 1/2
Step-by-step explanation:
Answer:
8/45
Step-by-step explanation:
Define x to be the value of your fraction:

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When in doubt, you can use your calculator to see which fraction gives you 0.1777777778.
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We multiplied by 10^1 above, because there is 1 repeating digit. The power of 10 we use matches the number of repeating digits.
Answer:
A 4/605
Step-by-step explanation:
mathematics = 11 letters
P(m) = number of m's/total = 2/11
we replace it so we have mathematics = 11 letters
P(s) = number of s's/total = 1/11
not replacing it
we replace it so we have mathematic = 10 letters
P(vowel) = number of vowel/total = 4/10 = 2/5
P(m, replace,s, no replace, vowel) = 2/11* 1/11 * 2/5 = 4/605
Answer:

Explanation:
All the shown formulae in the choice list are recursive formulae instead of explicit formulae.
Explicit formulae that represent arithmetic sequences are of the form:
That kind of formula permits to determine any term knowing the first term, the number of the term searched, and the common difference (d).
On the other hand, the recursive formulae let you to calculate one term knowing the previous term and the difference.
In this case, the difference in the number of squares of two consecutive terms is:
- differece = number of squares in the second layer - number of squares in the first layer.
Then, the recursive formula is: