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katen-ka-za [31]

2 years ago

9

The difference in elevation of a helicopter and a submarineis 18 1 / 2 meters. the elevation of the submarine is -7 3 /4 meters.

what is the elevation of the helicopter?

1 answer:

kogti [31]2 years ago

7 0

The difference of the helicopter and the submarine being 18.5 meters makes 18.5+-7.75=10.75

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X+1 ^ 16 what is the coefficient of x^5

kirza4 [7]

Binomial theorem:

$(x+1)^{16}=\displaystyle\sum_{k=0}^{16}\dbinom{16}kx^{16-k}1^k=\sum_{k=0}^{16}\dbinom{16}kx^{16-k}$

The $x^5$ term corresponds with the term in the sum for which $16-k=5\implies k=11$ . For this $k$ , we get

$\dbinom{16}{11}x^{16-11}=\dbinom{16}{11}x^5$

So the coefficient you want to find is

$\dbinom{16}{11}=\dfrac{16!}{11!(16-11)!}=4368$

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