3 years ago

HELP , TIMES ALMOST UP!!!!!!

Mathematics

1 answer:

solong [7]3 years ago

6 0

Answer:

0.8660254 or √3/2

Step-by-step explanation:

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What is the coefficient of the third term in the binomial expansion of (a + b)6? 1 15 20 90

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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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A fireperson needs to use a ladder of 25 feet in length to rescue a cat that has become

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Financial planners recommend that families save about 5% of their take-home pay. Ed and Sherrie save $90 each pay period from th

Ratling [72]

Answer:

Ed and Sheerie save 7.5%.

Step-by-step explanation:

This question can be solved using a rule of three.

Ed and Sherrie save $90 each pay period from their combined paychecks, which total $1200. What percent do Ed and Sherrie save?

How much of $1200 is $90? $1200 is 100% = 1, $90 = x. So

$1200 - 1

$90 - x

$1200x = 90$

$x = \frac{90}{1200}$

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Ed and Sheerie save 7.5%.

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Step-by-step explanation: hope it helps

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