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charle [14.2K]
3 years ago
14

Log(1+y) - log(1-y) = log x in 2 decimal places, express y in terms of x

Mathematics
2 answers:
Bond [772]3 years ago
7 0
Express y in terms of x.

Log (1+y) - Log (1-y) = Log x
GaryK [48]3 years ago
6 0

Answer: y = \frac{x-1}{x+1}

Step-by-step explanation:

log(1+y) - log(1-y) = log x \\log\frac{1+y}{1-y} =log x\\x = \frac{1+y}{1-y}\\x(1-y)=1+y\\x-xy=1+y\\x-1 = xy+y\\y(x+1)=x-1\\y=\frac{x-1}{x+1}

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Answer:

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Step-by-step explanation:

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2 years ago
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Circle towns limit form a perfectly circular shape that has a population of 20000 in the population density of 480 people per sq
Alex

Answer:

D =\frac{P}{\pi X^2}

And solving for the radius we got:

X = \sqrt{\frac{P}{\pi D}}

And replacing the data given we got:

X = \sqrt{\frac{480 \frac{people}{km^2}}{\pi *20000 people}}= 0.0874Km

And this value converted to meters is X = 87.40 m

Step-by-step explanation:

For this case we know the population size P = 20000 and we also know the population density D = 480 \frac{people}{km^2}

We can assume that the area is a circle. We also know that the formula for the population density is given by:

D= \frac{P}{A}

Where P represent the number of people and A the area. Since we are assuming a circle then the area is given by:

A = \pi X^2

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D =\frac{P}{\pi X^2}

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And replacing the data given we got:

X = \sqrt{\frac{480 \frac{people}{km^2}}{\pi *20000 people}}= 0.0874Km

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3 years ago
What's the inverse of a 2x4 matrix?
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<span>Wikipedia has a good article on Matrix inversion, take a look there for more information.</span>
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Answer:

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Step-by-step explanation:

Let me know if anything is unclear :)

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