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leonid [27]
3 years ago
13

Use natural logarithms to solve the equation. Round to the nearest thousandth. 6e4x - 2 = 3

Mathematics
1 answer:
frosja888 [35]3 years ago
6 0
6 · e^(4x - 2) = 3
     e^(4x - 2) = .5
 ln e^(4x - 2) = ln (.5)
          4x - 2 = ln (.5)
               4x  = ln (.5) + 2
                 x  = (ln (.5) + 2)/4
                 x = 0.3267
                 x ≈ 0.327

Answer: B

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6 0
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6 0
4 years ago
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7nadin3 [17]

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Step-by-step explanation:

The volume of the pyramid is given by:

V=\frac{A_{b}h}{3}

where A_{b} is the area of the base and h is the height.

We know that the height is:

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Thus we need to find the area of the square at the base.

The perimeter of the square is:

p=8.2cm

this means that the length of the sides of the square is :

l=\frac{p}{4}\\ \\l=\frac{8.2cm}{4}\\ \\l=2.05cm

Now we can find the area of the base which the area of the square:

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and finally we find the volume:

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Which rounded to the nearest tenth of a cubic centimeter is: V=18.2cm^3

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