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2 years ago

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An ancient calculator has faded etchings on its dials. Scientists used an x-ray scanner to decipher the etchings. A long x-ray h

as a wavelength of about 10 nanometers. How many meters is this? The prefix "nano" represents the exponent 1 x 10^-9

1 answer:

azamat2 years ago

7 0

Answer:

B)

Step-by-step explanation:

hope it helps an hope u got it

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Answer: 15

Step-by-step explanation:

(r+1)th term of $(a+b)^n$ is given by:-

$T_{r+1}=\ ^nC_r(a)^{n-r}b^r$

For $(a+b)^6$ , n= 6

$T_3=T_{2+1}=\ ^6C_2(a)^{6-2}(b)^2\\\\$

$=\ \dfrac{6!}{4!2!}a^4b^2\ \ \ [^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{6\times5\times4!}{4!\times2}a^4b^2\\\\=3\times5a^4b^2\\\\ =15a^4b^2$

Hence, the coefficient of the third term in the binomial expansion of $(a+b)^6$ is 15.

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Step-by-step explanation:

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