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DENIUS [597]
3 years ago
14

PLEASE HELP!!!! MATH QUESTION!!!!

Mathematics
1 answer:
bogdanovich [222]3 years ago
7 0
Sorry i would help but don’t know that! hope you get it right
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3 years ago
In the equation (x^2+y)^5, what is the coefficient of the term x^4y^3? what is the coefficient of the same term in the expansion
lys-0071 [83]

\displaystyle&#10;(x+y)^n=\sum_{k=0}^n\binom{n}{k}x^{n-k}y^k

<em>-------------------------------------------------------------</em>


\displaystyle&#10;(x^2+y)^n=\sum_{k=0}^n\binom{n}{k}x^{2n-2k}y^k\\&#10;n=5\\&#10;k=3\\\\\binom{5}{3}=\dfrac{5!}{3!2!}=\dfrac{4\cdor5}{2}=10

<u>It's 10.</u>

----------------------------------------------------

\displaystyle&#10;(3x^2+y)^n=\sum_{k=0}^n\binom{n}{k}(3x)^{2n-2k}y^k=\sum_{k=0}^n\binom{n}{k}\cdot 3^{2n-2k}\cdot x^{2n-2k}y^k\\\\&#10;n=5\\&#10;k=4\\\\&#10;\binom{5}{3}\cdot3^{2\cdot5-2\cdot4}=10\cdot3^{2}=10\cdot9=90

<u>It's 90</u>

6 0
3 years ago
A person drinks 1 pint of milk a day. At this rate how many gallons will a person drink in a leap year (366 days)?
Diano4ka-milaya [45]
OK. SO first you need to know how many pints are in a gallon.  ( one gallon = 8 quarts ) 

One day = one pint. So we want to find what 366 days equals. 1*366=366 pints in 366 days. We now have 366 pints. We need to convert that to gallons. One gallon equals 8 quarts, so we divide 366 by 8. 366/8= 45.75

So in one leap year a person drinks 45.75 gallons of milk

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3 0
3 years ago
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3 years ago
12x+3=15x<br><br> show how u got the answer
elixir [45]

Answer:

x = 1

Step-by-step explanation:

Given

12x + 3 = 15x ( subtract 12x from both sides )

3 = 3x ( divide both sides by 3 )

1 = x

7 0
2 years ago
Read 2 more answers
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