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ludmilkaskok [199]
3 years ago
12

How to simplify this expression

Mathematics
1 answer:
Yakvenalex [24]3 years ago
5 0

\bf -\sqrt{\cfrac{1-\frac{2}{\sqrt{11}}}{11}}\implies -\sqrt{\cfrac{~~\frac{\sqrt{11}-2}{\sqrt{11}}~~}{\frac{11}{1}}}\implies -\sqrt{\cfrac{\sqrt{11}-2}{11\sqrt{11}}}

I don't see it simplifying further, there are other ways that can change it to \bf -\sqrt{\cfrac{7}{121+22\sqrt{11}}} , but that won't really be that simplified per se.

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Answer:

The equation that represents the relationship between the number of bounces and the height is H = 204\cdot 0.72^{n}.

Step-by-step explanation:

According to this exercise, we notice that maximum height of the ball (H), measured in centimeters, is reduced at geometric rate and as a function of the number of bounces (n), with no unit, which is defined by geometric progression:

H = H_{o}\cdot r^{n} (1)

Where:

H_{o} - Initial height of the ball, measured in centimeters.

r - Bounce factor, no unit.

If we know that H_{o} = 204\,cm and r = 0.72, then the equation that represents the relationship between the number of bounces and the height is:

H = 204\cdot 0.72^{n} (2)

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3 years ago
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we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=kx

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Step-by-step explanation:

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4 years ago
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