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denpristay [2]
3 years ago
13

Elaine has a piece of wire that is 2.16 m long. John has a piece of wire that is 2.061 m long. Who is piece of wire is longer? H

ow can you tell?
Mathematics
1 answer:
lesya [120]3 years ago
4 0
Elaine's would be because.16 is closer to being a whole than .016
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Expand (2 + a)9 using Pascal’s triangle.
Natalija [7]

Answer:

Step-by-step explanation:

The Pascal triangle is used to determine the coefficients of the terms when we expand the expression.

                                             1                                (A + B) ^ 0 = 1

                                         1       1                            (A +B ) ^ 1 = 1A + 1B

                                   1          2        1          (A+ B) ^ 2 = 1A^2 + 2 AB + 1B^2

By extending the triangle, you will get the 9th row, which is your expression, of the coefficients. that is

1          9       36    84    126    126    84    36    9    1

Now, fill in AB in the gaps.

1AB + 9 AB + 36AB + 84AB + 126AB + 126AB +84AB + 36AB + 9AB + 1AB

Next, you need to go from the left to fill out the exponent of A and it will go down from 9 (the exponent of the whole thing) . That is

1A^9B+9A^8B+36A^7B+84A^6B+126A^5B+126A^4B+84A^3B+36A^2B+9A^1B+1A^0B

Next will be the exponent of B. this time, you go from the right and do the same with A. You can go from the left also, but go up from 0 to 9 for the exponent of B

1A^9B^0+9A^8B^1+36A^7B^2+84A^6B^3+126A^5B^4+126A^4B^5+84A^3B^6+36A^2B^7+9A^1B^8+1A^0B^9

The last step is just to simplify the A^0=1 and B^0 =1 at the first and the last terms.

A^9+9A^8B^1+36A^7B^2+84A^6B^3+126A^5B^4+126A^4B^5+84A^3B^6+36A^2B^7+9A^1B^8+B^9

Hope you can learn the method

5 0
2 years ago
This is the question ​
AnnZ [28]

Answer:

cool question I love it

3 0
2 years ago
Read 2 more answers
A = kr²<br><br>choices:<br>direct<br>inverse<br>joint<br>combined<br>​
Lina20 [59]

Answer:

Direct.

Step-by-step explanation:

A varies directly as the square of r.

6 0
3 years ago
Read 2 more answers
Answer 1,2 and 3 and challenge thank you
Nadusha1986 [10]
NUMBER 2 is 240 because 6 times 4 times 10 is equal to 240. I am still working on the others
7 0
3 years ago
Camden has an action figure collection of 380 action figures. He keeps 55% of the action figures on his wall. How many action fi
svet-max [94.6K]
209 action figures on his wall

380/100 = 3.8
so there would be 3.8 action figures per 1%
then 3.8*55 =209
6 0
2 years ago
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