Answer:
w = V/lh
Step-by-step explanation:
The volume of a rectangular prism is calculated using the formula V = lwh, where V is the volume of the prism, l and w are the length and width of the base of the prism, respectively, and h is the height of the prism.
Rewrite the formula to find the width of the base of the prism if the volume, length of the base, and height of the prism are already known.
volume of a rectangular prism,V = lwh
Where,
l = length of the base of the prism
w = width of the base of the prism
h = height of the prism
Rewrite the formula to find w
V = lwh
w = V/lh
That is,
width of the base of the prism = volume of the prism divided by length of the base of the prism multiplied by height of the prism
Answer:
6:8
Step-by-step explanation:
6 is the ratio of glass bottles and 8 is the plastic or you can put 3:4 because you divide the number b 2
The solution of the given logarithmic equation is x = 28.1
<h3>
How to solve the logarithmic equation?</h3>
Here we have the logarithmic equation:
4*ln(x - 8) = 12
And we want to solve this for x.
Remember the relations:
![ln(e^x) = x\\e^{ln(x)} = x](https://tex.z-dn.net/?f=ln%28e%5Ex%29%20%3D%20x%5C%5Ce%5E%7Bln%28x%29%7D%20%3D%20x)
First, we divide both sides by 4:
![ln(x - 8) = 12/4 = 3](https://tex.z-dn.net/?f=ln%28x%20-%208%29%20%3D%2012%2F4%20%3D%203)
Then, if we apply the exponential equation to both sides of our equation, we get:
![e^{ln(x - 8)} = e^{3}\\\\x - 8 = e^3\\\\x = e^3 + 8 = 28.1](https://tex.z-dn.net/?f=e%5E%7Bln%28x%20-%208%29%7D%20%3D%20e%5E%7B3%7D%5C%5C%5C%5Cx%20-%208%20%3D%20e%5E3%5C%5C%5C%5Cx%20%3D%20e%5E3%20%2B%208%20%3D%2028.1)
If you want to learn more about logarithmic equations:
brainly.com/question/236421
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