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OLEGan [10]
3 years ago
10

3

Mathematics
1 answer:
sweet [91]3 years ago
3 0

Answer:

The variable Y represents the number of meters of string in the third yoyo

Step-by-step explanation:

In this equation y stands for the unknown variable. The equation tell you that hope made 3 different yo-yos so the number of yo-yos hope made isn't unknown, meaning, it cant be the first answer. The problem also tells you that hope used a total of 4 meters of string which means that the total number of string used isn't the unknown variable. The number of meters of string in the third yo-yo is the only number that isn't. This makes the number of sting used in the third yo-yo the unknown variable, making it y.

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(a+b)^{n}

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t_{p+1}=\dbinom{n}{p}\,a^{n-p}\,b^{p}
__________________________

We want the 7th term. Hence, we set p+1 to be 7:

p+1=7~~\Rightarrow~~p=6


Then, the 7th term is

t_{7}=\dbinom{8}{6}\,x^{8-6}\,4^{6}\\\\\\ t_{7}=\dfrac{8!}{6!\cdot (8-6)!}\cdot x^{8-6}\cdot 4^{6}\\\\\\ t_{7}=\dfrac{8\cdot 7\cdot \diagup\!\!\!\! 6!}{\diagup\!\!\!\! 6!\cdot 2!}\cdot x^{2}\cdot 4^{6}\\\\\\ t_{7}=\dfrac{8\cdot 7}{2\cdot 1}\cdot x^{2}\cdot 4^{6}\\\\\\ t_{7}=28\cdot x^{2}\cdot 4,096\\\\ \boxed{\begin{array}{c} t_{7}=114,688\,x^{2} \end{array}}


Correct answer: \text{A. }114,688\,x^{2}.

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Line Segment LM is the midsegment of the isosceles trapezoid ABCD. Find
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Step-by-step explanation:

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5 0
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