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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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elena55 [62]
Answer:
D. t = -1

step-by-step explanation:
that side should be 180 degrees and the whole is 360 but we are only measuring half
so (20t + 5) = 15t
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4 0
3 years ago
3. An electric bill is an essential expense for young people who get their first
Dmitrij [34]

Answer:

Mean = $123.8

Range= $72

Variance= $607.344

Standard deviation=$ 24.64

Step by step explanation:

The list of the data of electricity bill on ascending order

$88,$90,$90,$95,$110,$115,$120,$126,$144,$150

Mean = (summation of($88,$90,$90,$95,$110,$115,$120,$126,$144,$150))/10

Mean = 1238/10

Mean = $123.8

Range= highest value- Lowest VA

Range= 150-88

Range= $72

Variance=( (88-123.8)²+(90-123.8)²+(90-123.8)²+(95-123.8)²+(110-123.8)²+(115-123.8)²+(120-123.8)²+(126-123.8)²+(144-123.8)²+(150-123.8)²)/10

Variance= (1281.64+1142.44+1142.44+829.44+190.44+77.44+14.44+4.84+295.84+408.04+686.44)/10

Variance= 6073.44/10

Variance=$ 607.344

Standard deviation= √variance

Standard deviation= √ 607.344

Standard deviation=$ 24.64

6 0
4 years ago
Ynnette can wash 959595 cars in 555 days.<br> How many cars can Lynnette wash in 111111 days?
gavmur [86]

Answer:

192,110,919

Step-by-step explanation:

You would first need to divide 959595 by 555 which would equal 1729. Then you would need to multiply 1729*111111 which would equal 192,110,919.

Hope this helps and pls do mark me brainliest if you can:)

4 0
3 years ago
Will someone help me with both of these I have to solve for the unknown portions please
IceJOKER [234]

Answer:

b=2.5

p=6

Step-by-step explanation:

Take the fraction and simplify it. So 10/8 would be 5/4

You multiply the 2 by 2, giving you h/4

So now you have 5/4=h/4

h=5 but now you have to divide both by 2 again so it can go back to the original fraction.

5÷2=2.5 and 4÷2=2

Second Problem! 4/2 is equal to 2/1

You can also multiply 4 by 3 to get the numerator as 12. Multiply the 4 by 3 and the 2 by 3

Now you have 12/6= 12/p

So p is 6

3 0
3 years ago
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Use a property of equality to solve this equation 4.5x=18
algol13

Answer:

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Step-by-step explanation:

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