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3 years ago

I don't understand any of this

Mathematics

1 answer:

EastWind [94]3 years ago

5 0

Those are opposite angles and opposite angles are equal to one another.

so we can say that 62 = 2 + 3x and solve x from there.

60 = 3x
x = 20

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If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple ar

erma4kov [3.2K]

Answer:

$\frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}$

Step-by-step explanation:

Given

5 tuples implies that:

$n = 5$

$(h,i,j,k,m)$ implies that:

$r = 5$

Required

How many 5-tuples of integers $(h, i, j, k,m)$ are there such that $n\ge h\ge i\ge j\ge k\ge m\ge 1$

From the question, the order of the integers h, i, j, k and m does not matter. This implies that, we make use of combination to solve this problem.

Also considering that repetition is allowed: This implies that, a number can be repeated in more than 1 location

So, there are n + 4 items to make selection from

The selection becomes:

$^{n}C_r => ^{n + 4}C_5$

$^{n + 4}C_5 = \frac{(n+4)!}{(n+4-5)!5!}$

$^{n + 4}C_5 = \frac{(n+4)!}{(n-1)!5!}$

Expand the numerator

$^{n + 4}C_5 = \frac{(n+4)!(n+3)*(n+2)*(n+1)*n*(n-1)!}{(n-1)!5!}$

$^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5!}$

$^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5*4*3*2*1}$

$^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}$

<u><em>Solved</em></u>

6 0

3 years ago

Have a 68 66 66 and 86 what grade do i need to pass on my last test

liubo4ka [24]

In order to pass with a c in your class your going to need to get a 90% on your next test

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3 years ago

Leave answer in the simplest radical form.

slega [8]

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7 0

2 years ago

What number is 37 1/2% of 32?

Serggg [28]

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3 years ago

It takes 2 minutes to fill a tank with 16 gallons of gasoline.

Olin [163]

Answer:

and the question is...

Step-by-step explanation:

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3 years ago