Using Pascal triangle, write down the binomial expansion of
[tex] {(1+y)}^{8} [/tex]
simplifying all the terms.​

Answers

Answer 1

Answer:

1 + 8y + 28y² + 56y³ + 70[tex]y^{4}[/tex] + 56[tex]y^{5}[/tex] + 28[tex]y^{6}[/tex] + 8[tex]y^{7}[/tex] + [tex]y^{8}[/tex]

Step-by-step explanation:

For the expansion of [tex](1+y)^{8}[/tex]

Using the row of Pascal's triangle for n = 8 , that is the coefficients are

1  8  28  56  70  56  28  8  1

Decreasing powers of 1 from [tex]1^{8}[/tex] to [tex]1^{0}[/tex]

Increasing powers of y from [tex]y^{0}[/tex] to [tex]y^{8}[/tex]

Then

[tex](1+y)^{8}[/tex]

= 1 . [tex]1^{8}[/tex].[tex]y^{0}[/tex] + 8. [tex]1^{7}[/tex].[tex]y^{1}[/tex] + 28. [tex]1^{6}[/tex].y² + 56. [tex]1^{5}[/tex].y³ + 70. [tex]1^{4}[/tex].[tex]y^{4}[/tex] + 56. 1³.[tex]y^{5}[/tex] + 28. 1².[tex]y^{6}[/tex] + 8. [tex]1^{1}[/tex].[tex]y^{7}[/tex] + 1. [tex]1^{0}[/tex].[tex]y^{8}[/tex]

= 1 + 8y + 28y² + 56y³ + 70[tex]y^{4}[/tex] + 56[tex]y^{5}[/tex] + 28[tex]y^{6}[/tex] + 8[tex]y^{7}[/tex] + [tex]y^{8}[/tex]

Answer 2

Answer:

y⁸ + 8y⁷ + 28y⁶ + 56y⁵ + 70y⁴ + 56y³ + 28y² + 8y + 1

Step-by-step explanation:

Given binomial

(1 + y)⁸

Expanding using Pascal triangle (attached)

Replace a and b with y and 1 in the bottom row of the triangle

(1 + y)⁸ = (y + 1)⁸ = y⁸ + 8y⁷ + 28y⁶ + 56y⁵ + 70y⁴ + 56y³ + 28y² + 8y + 1
Using Pascal Triangle, Write Down The Binomial Expansion Of [tex] {(1+y)}^{8} [/tex]simplifying All The

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Answers

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Answer:

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Step-by-step explanation:

750/15=50

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What is my answer can You please help me

Answers

Answer:

-2

Step-by-step explanation:

Let's solve your equation step-by-step

4x−3=−11

Step 1: Add 3 to both sides

4x−3+3=−11+3

4x=−8

Step 2: Divide both sides by 4

4x

4

=

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4

x=−2

Answer:

[tex]4x + ( - 3) = - 11 \\ 4x (- 3) = - 11 \\ 4x = - 11 + 3 \\ 4x = - 8 \\ x = \frac{ - 8}{4} \\ x = - 2[/tex]

The distance a person can travel varies directly with the time they have been traveling if going at a constant speed. If Phoenix traveled 78 miles in 1.5 hours while going at a constant speed, how far will he travel in 2 hours at the same speed?

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Simplify the expression so there is only one power for each base.

Answers

Answer:

Step-by-step explanation:

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Answers

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Answers

Answer:

i recommend math-way's they give you step by step or if you are work on Big ideas work use Slader they have all the answers  

Step-by-step explanation:

A grain silo is shaped like a cylinder with a height of 24 feet and a diameter of 10 feet. A farmer wishes to determine how many cubic feet of grain could fit in the silo.
What is the maximum amount of cubic feet of grain that the silo could hold?
O A 7539 cubic feet
B
2400 cubic feet
C
1884 cubic feet
O
D
600 cubic feet

Answers

Answer:

1884.95

Step-by-step explanation:

cylinder volume formula = [tex]\pi[/tex] * height * radius^2

diameter/2 = radius = 10/2 = 5

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Answer:

1884

Step-by-step explanation:

what is 3 divided by 1/5 :(

Answers

Answer:

15

Step-by-step explanation:

that's what gogle said

Answer:

15

Step-by-step explanation:

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Please help me need it done ASAP

Answers

Answer:

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Step-by-step explanation:

You just need to combine like terms ;)

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Answer:

a

Step-by-step explanation:

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Answer:

I beleive it is the first option

Step-by-step explanation:

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Answers

Answer:

x = 60

Step-by-step explanation:

So, ever triangle, no matter what shape or size, is always going to equal 180 degrees. You start off by trying to find angle L which is 71. The way you find this is you subratch 109 from 180 which ultimately gives you 71.

180 - 109 = 71

After that you have to add what you already have (49 degrees) with what you just found (71 degrees)

49 + 71 = 120

Now that you have 120, you have to again subtract 180 by 120 to get your answer, 60 degrees. And that's it.

180 - 120 = 60

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Answers

Answer:

$2.95

Step-by-step explanation:

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explanation:
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Answers

Answer:

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Step-by-step explanation:

64 divided by 4 is equal to 16.

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Answers

x=7
Step-by-step explanation:
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Answers

Answer:

Step-by-step explanation

B<-35

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Answers

   2.006

+ 6.001

__________

   8.007

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Answers

Answer:

e=57⁰

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Step-by-step explanation:

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Answers

Answer: Greetings my dude. The volume of the triangular prism is around 1,138 Centimeters Cubed.

Hope this helps!

Answer:

volume = length * breadth * height

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Answers

It is(A) 116
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wou help video
What is the image of (-9,0) after a dilation by a scale factor of 2 centered at
the origin?

Answers

Answer:

The image is (-18,0)

Step-by-step explanation:

Here, we want to find the image of the given point after dilation by the given scale factor

Mathematically, given a point with the pre-image (x,y) going under the dilation of scale factor k, centered at the origin, the coordinates of the image will be;

(kx , ky)

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Answers

Answer:

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Which of the following is the correct expanded form for the series below?
4
Σ-22
»=0
O-1-2-4-8-16
1-2 + 4-8 + 16
O-2-4-8-16
0-2 + 4 - 8 + 16

Answers

Answer:

-1-2-4-8-16

Step-by-step explanation

The solution is, 1-2 + 4-8 + 16, is the correct expanded form for the series Σ-2^n, n = 0 to 4.

What is an exponent in math?

An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.

here, we have,

given that,

the  series Σ-2^n, n = 0 to 4.

now, we have to find,

the correct expanded form for the series ,

as , we get,

the value of n = 0 to 4

so, putting the value of n = 0,1,2,3,4

we get the series as,

Σ-2^n

= -2^0 + (-2)^1 + (-2)^2 + (-2)^3 + (-2)^4

= 1 -2 + 4 - 8 +16

Hence, The solution is, 1-2 + 4-8 + 16, is the correct expanded form for the series Σ-2^n, n = 0 to 4.

To learn more on exponent number click:

brainly.com/question/19467739

#SPJ7

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Answers

Answer:

your answer will be option B

you are right

Step-by-step explanation:

have a nice day!!

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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