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MA_775_DIABLO [31]
3 years ago
5

Expanding Logarithmic Expressions In Exercise, use the properties of logarithms to rewrite the expression as the sum, difference

, or multiple of logarithms.
In(1 - x/3x)^3
Mathematics
1 answer:
tester [92]3 years ago
4 0

Answer:

3 ln(1-x) - 3 ln3 - 3 ln x

Step-by-step explanation:

We have the following logarithmic expression.

ln(1-x/3x)³

We apply the logarithm power rule.

3 ln(1-x/3x)

We apply the logarithm quotient rule.

3. [ln(1-x) - ln 3x]

We apply the logarithm product rule.

3. [ln(1-x) - (ln3 + ln x)]

3. [ln(1-x) - ln3 - ln x]

We apply the distributive property.

3 ln(1-x) - 3 ln3 - 3 ln x

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Solve each equation y-6.72=253
diamong [38]
You just need to have the variable by itself, so move the -6.72 to the other side (that will make it +6.72)
So you should have this equation now: y = 253+6.72
Then just add them and you have this: y = 259.72
And that is your answer!

Hope I helped! <3
7 0
3 years ago
Read 2 more answers
Simply by using rationalize denominators.<br><br> 2a^-1/2
Advocard [28]
Pemdas, so exponent before multiply
so do a^-1/2 then multiply it by 2

remember that x^ \frac{m}{n}= \sqrt[n]{x^m} and
x^{-m}= \frac{1}{x^m}
therefor, a^ \frac{-1}{2}= \frac{1}{a^ \frac{1}{2} } = \frac{1}{ \sqrt{a} }
the we multiply by 2

\frac{2}{ \sqrt{a} }

8 0
3 years ago
HELP ME PLEASE!!!!!
son4ous [18]

Answer:

I think the answer (-2, 6)

8 0
3 years ago
4(2x - 2) + 2 = 4(x - 2)
andreev551 [17]

Answer:

X=-1/2

Step-by-step explanation:

Hope this helps. Plz give brainliest.

8 0
3 years ago
Read 2 more answers
7.1.35-T Question Help You are the operations manager for an airline and you are considering a higher fare level for passengers
shusha [124]

Answer:

You must survey 784 air passengers.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Assume that nothing is known about the percentage of passengers who prefer aisle seats.

This means that \pi = 0.5, which is when the largest sample size will be needed.

Within 3.5 percentage points of the true population percentage.

We have to find n for which M = 0.035. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.035 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.035\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.035}

(\sqrt{n})^2 = (\frac{1.96*0.5}{0.035})^2

n = 784

You must survey 784 air passengers.

6 0
2 years ago
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