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mr_godi [17]
3 years ago
7

Find the largest integer $n$ for which $12^n$ evenly divides $20!$.

Mathematics
2 answers:
fredd [130]3 years ago
8 0

9514 1404 393

Answer:

  n = 8

Step-by-step explanation:

12 = 2² · 3

20! = 2¹⁸ · 3⁸ · [larger primes]

The highest power of 12 that is a factor of 20! is 12^8, limited by the number of factors of 3 there are.

  n = 8

jok3333 [9.3K]3 years ago
7 0

Answer:

n = n

Step-by-step explanation:

explanation is on the top and he/she correct

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Which is a solution to (x – 3)(x + 9) = –27?<br><br> x = –9<br> x = –3<br> x = 0<br> x = 6
Margarita [4]
Expand
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set to zero

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answer is 0 since -6 is not listed
8 0
4 years ago
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7. Make a box-and-whisker plot for the data. What is the upper quartile value?
Nookie1986 [14]

In order to draw the Box-whisker plot, we need to rewrite the data in increasing order.

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6 0
3 years ago
If three times the larger of two numbers is four times the smaller and the difference between the numbers is 8, then the larger
MaRussiya [10]

Answer:

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Step-by-step explanation:

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Plug in x = 3y/4 in equation (I)

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7 0
3 years ago
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3 years ago
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julsineya [31]

Answer:

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