Answer:
Step-by-step explanation:
3 ln(2x) + 7 = 15 Subtract 7 from both sides
3 ln(2x) = 15 - 7 Combine
3 ln(2x) = 8 Divide by 3
ln(2x) = 8/3 Do the division. Take the antilog of both sides.
e^ln(2x) = e^(8/3)
2x = 14.392 Divide by 2
x = 14.392
x = 7. 196
Answer:
<h2>The right answer is 415.4 cubic feet.</h2>
Step-by-step explanation:
As you can observe in the image attached, the composite figure is formed by a square prism and a pyramid on top.
We need to find the volum of each part separately.
<h3> Square prism.</h3>
<h3>Square pyramid.</h3>
First, we need to find the height of the pyramid. We already know the height of each triangular face of the pyramid, which divides equally the side.
Let's use Pythagorean's Theorem to find the height of the pyramid.
The height is 4.3 feet, approximately.
Now, we find the volume of the pyramid
The sum of both figures represents the total volume of the composite figure
Therefore, the right answer is 415.4 cubic feet.
Solve the first equation for y.
3x+y=2
y=2-3x
Substitute
4x+(2-3x)=20
4x+2-3x=20
x=18
Answer:
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Step-by-step explanation: