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Svetradugi [14.3K]
3 years ago
15

Solve the equation. Write the answer in terms of the natural logarithm. e^(9x+8)=14

Mathematics
1 answer:
Shtirlitz [24]3 years ago
8 0
e^{9x+8}=14\\
9x+8=\ln 14\\
9x=\ln 14-8\\ x=\frac{1}{9}(\ln 14-8)
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3 years ago
Find the surface area of each figure.
timurjin [86]

Answer:

For a cylinder of radius R and height H, the surface area is given by:

A = 4*pi*R^2 + H*(2*pi*R)

Where pi = 3.14

We can just use that formula for each one of the given cylinders.

1) We can see that the diameter is 10 yd, and the radius is half of the diameter, then the radius is:

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And the height is 3yd, then H = 3yd

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3) In this case we have a radius equal to 12 cm, and a height equal to 7 cm, then the area is:

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4) Here is hard to see the measures, I think that here we have:

diameter = 8m

Then R = 8m/2 = 4m

And the height is also 8m, H = 8m

Then the area is:

A = 4*3.14*(4 m)^2 + 8 m*(2*3.14*4m) =401.92 m^2

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If 1/6 of the pan was left and there were 2 pieces left you just need to set 1/6 equal to 2/some number, this allows you to say that 1/6=2/x --> x/6=2-->x=12. My explanation might be a little poor since this becomes fairly fundamental later on but hopefully it helps.
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3 years ago
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