4 years ago

How do you solve square roots with fractions

1 answer:

3 0

First, you have to get rid of the square root and in order to do that you get rid of the radical by going to the power of 2 or "squared"

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a 23 gram sample of a substance thats a by-product of fireworks has a K-value of .13. whats the substances half life in days

nata0808 [166]

Given:
Initial mass, m₀ = 23 g
Decay constant, k = 0.13

Exponential decay obeys the equation
$m(t)=m_{0} e^{-kt}$
where t = time, days

For half life, the mass is m = m₀/2.
Therefore
$e^{-0.13t} = \frac{1}{2} \\ -0.13t = ln(0.5)\\t= \frac{ln(0.5)}{-0.13} =5.33$

Answer: The half life is 5.33 days

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3 years ago

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How many terms are there in a geometric series if the first terms is 2, the common ratio is 4, and the sum of the series is 2,73

arsen [322]

The sum of n terms of a geometric series is given by
$S_{n}=a_{1}\dfrac{r^{n}-1}{r-1}$

Substituting the given numbers, you have
$2730=2\dfrac{4^{n}-1}{4-1}\\\\2730\dfrac{3}{2}=4^{n}-1\\\\4096=4^{n}\\\\\dfrac{\log(4096)}{\log(4)}=n=6$

There are 6 terms in the series.

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3 years ago

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