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Nitella [24]
3 years ago
9

What is the bionominal expansion of (x+2y)^7

Mathematics
1 answer:
tatiyna3 years ago
8 0

Answer:

Choose the 8th row of Pascal's triangle to get the sequence:

1

,

7

,

21

,

35

,

35

,

21

,

7

,

1

Write the powers of

2

in ascending order up to

2

7

as a sequence:

1

,

2

,

4

,

8

,

16

,

32

,

64

,

128

Multiply the two sequences together to get:

1

,

14

,

84

,

280

,

560

,

672

,

448

,

128

Then:

(

x

+

2

y

)

7

=

x

7

+

14

x

6

y

+

84

x

5

y

2

+

280

x

4

y

3

+

560

x

3

y

4

+

672

x

2

y

5

+

448

x

y

6

+

128

y

7

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pav-90 [236]
3(1,000,000)=3,000,000
3(100,000)=300,000
2(100)=200
3,300,200
6 0
3 years ago
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Which equation is related to (squ)x+10)-1?
mihalych1998 [28]

  (x + 10)² - 1

= (x² + 20x + 100) - 1

= x² + 20x + 99

None of the choices you provided are correct. Did you type in the question wrong?

8 0
3 years ago
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A fabric store sells close-out fabrics for $2.14 a yard. A customer buys 8 yards of fabric. How much does the customer pay for t
blsea [12.9K]

Answer:

$17.12

Step-by-step explanation:

2.14 · 8 = 17.12

8 0
3 years ago
BRAINLIEST AND 60 POINTS!!!!!!!
PIT_PIT [208]

Answer:

1.  P ( tails) = 1/2

2.P (number greater than 4)   = 1/3

3.  P (2 die sum to 8) = 5/36

Step-by-step explanation:

A coin only has 2 possibilities, head or tails, and they are equally likely

So the probability of getting a tails is 1/2

P ( tails) = 1/2


A die has the numbers 1,2,3,4,5,6 .  There are 2 numbers greater than 4.  They are 5 and 6.  So there are 2 of the 6 choices that work.

P (number greater than 4)  = 2/6  = 1/3


See the dice chart

There are 36 possibilities when you roll the die.

There are 5 that sum to 8

P (2 die sum to 8) = 5/36

7 0
3 years ago
The human population doubles approximately every 50 years if there were 2.5 million people in 1950 how many people are forecaste
Margarita [4]
The equation that would let us determine the number of people or population at a certain year is calculated through the equation,

    A(t) = A(o)(2^(t - 1950)/50)

Substituting the known values,

   A(t) = (2.5 million people)(2^(2100 - 1950)/50))

   A(t) = 20 million 

<em>Answer: 20 million people</em>
3 0
3 years ago
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