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IRINA_888 [86]
3 years ago
13

The question is in the picture PLEASE HELP ME!!! idk how to do this

Mathematics
1 answer:
IrinaVladis [17]3 years ago
5 0

Answer:

35

Step-by-step explanation:

Put the numbers in the formula and do the arithmetic.

nCk = n!/(k!(n -k)!)

7C3 = 7!/(3!(7-3)!) = 7·6·5/(3·2·1) = 7·5 = 35

_____

It is convenient to use the largest of the factorials in the denominator to cancel as many factors as you can from the numerator, then cancel factors from the remaining numbers. Here after canceling 4! = 4·3·2·1 from the numerator, we are left with 7·6·5 divided by 3! = 3·2·1 = 6. Obviously, this will cancel the 6 in the numerator product, leaving only 7·5 = 35.

Some graphing and/or scientific calculators will have this function built in.

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Find the first three terms of the arithmetic series described. n= 16 aₙ= 15 sₙ= -120.
creativ13 [48]

Answer:

The first three terms are -30, -27 and -24

Step-by-step explanation:

The formula for nth term of a arithmetic series is given by:

aₙ = a₁ + (n - 1)d

Substitute n = 16 in the given equation:

a₁₆ = a₁ + (16 - 1)d

Where aₙ = a₁₆ = 15. Substitute in the given equation

15 = a₁ + 15d ⇒ Equation (i)

Sum of arithmetic sequence is given by:

Sₙ = n(a₁ + aₙ) / 2

Substitute n = 16 in the above equation:

S₁₆ = 16(a₁ + a₁₆) / 2

Where S₁₆= -120 and a₁₆=15, substitute:

-120 = 16(a₁ + 15)/2

-240 = 16(a₁ +15)

-15 = a₁ + 15

a₁ = -30

Substitute it in Equation (i)

15 = a₁ + 15d

15 = -30 + 15d

15d = 15+30

d = 45/15

d = 3

So

a₁ = -30

a₂ = a₁ + (2-1)d

a₂ = -30 + 3

a₂ = -27

a₃ = a₁ + (3-1)d

a₃ = a₁ + 2d

a₃ = -30 + 2(3)

a₃ = -30 +6

a₃ = -24

8 0
3 years ago
30 points Please help ASAP
Maurinko [17]

Answer:

It's A because

(2x^3-5x^2-28x+15):(x-2) =2x^2-x-30+

- 45/x-2

<em>I</em><em> </em><em>hope</em><em> </em><em>it</em><em> </em><em>helped</em><em> </em><em>:</em><em>)</em>

6 0
3 years ago
What is true of a geometric straight line? A) one-dimensional B) two-dimensional C) three-dimensional D) no dimensions, only pos
Lubov Fominskaja [6]
A. the answer is one dimension

5 0
4 years ago
Read 2 more answers
Can someone help me
Ksivusya [100]
Whats your question????

3 0
4 years ago
Select three ratios that are equivalent to 4:3
lawyer [7]

Answer:

Step-by-step explanation:

3 ratios equivalent to 4:3......4:3 can be written as 4/3

so we need 3 equivalent fractions that when reduced = 4/3

4/3 * 2/2 = 8/6 or 8:6....this is equivalent

4/3 * 3/3 = 12/9 or 12:9...this is equivalent

4 0
4 years ago
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