Answer:
Step-by-step explanation:
We can write this rate as an ordinary differential equation.
Where a is proportional constant, P the population variable, and t the time.
Integrating each side of the equation.
To find C we need to use the initial condiction, it means evaluae P at t=0.
Now, we use the sentence the population has doubled in 5 years.
We can find "a" in this condition.
Finally, let's find how long will it take to triple.
I hope it helps you!
We need to know some log properties
1. when the base is not stated, assume that it is base 10 or log₁₀
2.
-log(10^-1)=
answer is D. -1
Answer:
18
Step-by-step explanation:
use the distance forumla to detwemine the distance between the points.
43+57+30+18+26+12=186
divide 186 by the number of healing spells (6)
which = 176
<h3>
Answer: Choice A</h3>
Domain = (a,b]
Range = [mc + n,md + n)
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Explanation:
The domain stays the same because we still have to go through f(x) as our first hurdle in order to get g(x).
Think of it like having 2 doors. The first door is f(x) and the second is g(x). The fact g(x) is dependent on f(x) means that whatever input restrictions are on f, also apply on g as well. So going back to the "2 doors" example, we could have a problem like trying to move a piece of furniture through them and we'd have to be concerned about the f(x) door.
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The range will be different however. The smallest value in the range of f(x) is y = c as it is the left endpoint. So the smallest f(x) can be is c. This means the smallest g(x) can be is...
g(x) = m*f(x) + n
g(x) = m*c + n
All we're doing is replacing f with c.
So that means mc+n is the starting point of the range for g(x).
The ending point of the range is md+n for similar reasons. Instead of 'c', we're dealing with 'd' this time. The curved parenthesis says we don't actually include this value in the range. A square bracket means include that value.
