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MAVERICK [17]
3 years ago
10

Solve the logarithmic equation. When necessary, round answer to the nearest hundredth.

Mathematics
2 answers:
Nikitich [7]3 years ago
8 0

Answer:

Exact Form:

x=e^4

Decimal Form:

x=54.59815003

stiv31 [10]3 years ago
3 0

Answer:

The solution of the logarithmic equation is x=54.59  

Step-by-step explanation:

Given : Expression 4-3\ln x=-8        

To find : Solve the logarithmic equation?

Solution :    

Step 1 - Write the expression,

4-3\ln x=-8      

Step 2 - Subtract 4 both side,

4-4-3\ln x=-8-4      

-3\ln x=-12      

Step 3 - Divide by -3 both side,

\frac{-3\ln x}{-3}=\frac{-12}{-3}      

\ln x=4      

Step 4 - Taking exponential both side,

x=e^4  

x=54.59  

Therefore, The solution of the logarithmic equation is x=54.59  

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Answer:

C. 40π cm²

Explanation:

• The central angle of the sector = 225 degrees

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• The radius of the sector = 8cm

For a sector of radius r and central angle θ, we calculate the area using the formula below:

\text{Area}=\frac{\theta}{360\degree}\times\pi r^2

Substituting the given values, we have:

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1 year ago
Assume that the paired data came from a population that is normally distributed. using a 0.05 significance level and dequalsxmin
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"<span>Assume that the paired data came from a population that is normally distributed. Using a 0.05 significance level and d = (x - y), find \bar{d}, s_{d}, the t-test statistic, and the critical values to test the claim that \mu_{d} = 0"

You did not attach the data, therefore I can give you the general explanation on how to find the values required and an example of a random paired data.

For the example, please refer to the attached picture.

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\bar{d} =  \frac{\sum (x - y)}{n}

These are the steps to follow:
1) compute for each pair the difference d = (x - y)
2) sum all the differences
3) divide the sum by the number of pairs (n)

In our example: 
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B) Find <span>s_{d}
</span><span>You are asked to find the standard deviation, which is given by the formula:
</span>s_{d} =  \sqrt{ \frac{\sum(d - \bar{d}) }{n-1} }

These are the steps to follow:
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The pic is your answer.

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