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<h2>Half Life</h2>
The half life period is the time in which only half of the given population remains. It can be represented through this equation:
- <em>t</em> = time passed
- <em>a</em> = y-intercept
- <em>h</em> = half life
We're given:
- <em>h</em> = 28 million years
- <em>a</em> = 184 grams (this is the initial mass, after 0 time has passed)
For most questions like this, we would have to plug these values into the equation mentioned above. However, this question asks for the time elapsed after 3 half-lives.
This can be calculated simply by multiplying the given half-life by 3:
28 million years x 3
= 84 million years
<h2>Answer</h2>84 million years
Answer:
Hence, the average rate of change is:
Step-by-step explanation:
We are asked to calculate the average value of the function:
in 2 ≤ x ≤ 6
The average rate of change of the function f(x) in the interval 2 ≤ x ≤ 6 is given as:
Now,
Hence, the average rate of change is:
Hence, the average rate of change is:
Answer:
<h2>The area of the base is 144 square inches.</h2><h2>The area of each triangular face is 66 square inches.</h2><h2>Grabiel needs 408 square inches of paint.</h2>Step-by-step explanation:
The complete problem is attached.
Notice that the figure is a square pyramid, where its base dimensions are 12 inches by 12 inches, which represents an area of
The slant height of the pyramid is 11 inches, which allow us to find the area of each triangle face
But there are four triangle faces, so .
Therefore, the area of each triangular face is 66 square inches.
So, the total surface area would be the sum
Therefore, Gabriel needs 408 square inches to paint the whole model.
