$\dfrac{e^x-e^{-x}}{e^x+e^{-x}}=t\\\\
\dfrac{e^{2x}-1}{e^{2x}+1}=t\\\\
e^{2x}-1=t(e^{2x}+1)\\\\
e^{2x}-1=e^{2x}t+t\\\\
e^{2x}-e^{2x}t=t+1\\\\
e^{2x}(1-t)=t+1\\\\
e^{2x}=\dfrac{t+1}{1-t}\\\\
e^{2x}=-\dfrac{t+1}{t-1}\\\\
2x=\ln\left(-\dfrac{t+1}{t-1}\right)\\\\
x=\dfrac{\ln\left(-\dfrac{t+1}{t-1}\right)}{2}\qquad t\in(-1,1)



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8 0

3 years ago

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Triangle PQR is formed by the three squares A, B, and C:

Levart [38]

The first choice if ()2 means to the power of two if not then it is none of them.

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3 years ago

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What is the circumference of the given circle in terms of pi

Nezavi [6.7K]

The formula for finding the circumference is pi times the diameter so If your giving it in terms of pi then you're just finding the diameter which is 15

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3 years ago

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Which data set has an outlier?

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The answer to your question is: D it has 3

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