So, I came up with something like this. I didn't find the final equation algebraically, but simply "figured it out". And I'm not sure how much "correct" this solution is, but it seems to work.
![f(x)=\sin(\omega(x))\\\\f(\pi^n)=\sin(\omega(\pi^n))=0, n\in\mathbb{N}\\\\\\\sin x=0 \implies x=k\pi,k\in\mathbb{Z}\\\Downarrow\\\omega(\pi^n)=k\pi\\\\\boxed{\omega(x)=k\sqrt[\log_{\pi} x]{x},k\in\mathbb{Z}}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csin%28%5Comega%28x%29%29%5C%5C%5C%5Cf%28%5Cpi%5En%29%3D%5Csin%28%5Comega%28%5Cpi%5En%29%29%3D0%2C%20n%5Cin%5Cmathbb%7BN%7D%5C%5C%5C%5C%5C%5C%5Csin%20x%3D0%20%5Cimplies%20x%3Dk%5Cpi%2Ck%5Cin%5Cmathbb%7BZ%7D%5C%5C%5CDownarrow%5C%5C%5Comega%28%5Cpi%5En%29%3Dk%5Cpi%5C%5C%5C%5C%5Cboxed%7B%5Comega%28x%29%3Dk%5Csqrt%5B%5Clog_%7B%5Cpi%7D%20x%5D%7Bx%7D%2Ck%5Cin%5Cmathbb%7BZ%7D%7D)
If there are 5 people, they get 3 cans.
We want to give the same amount of soup to everyone, so if there are twice as many people, we're going to need twice as much soup.
(10 people, 6 cans)
Now say we had 20 people. (4 times as many)
We'd use 4 times as many cans soup, which would be 3×4 = 12 cans.
So it seems tht both B and D are correct.
Answer:
x ≈ 1.28
Step-by-step explanation:
I just took the exam:
Area of rectangle =(3x-1)(x+6), Area of circle = PI(x+1)^2. If you graph these and find where they intersect, you will get x ≈ 1.28.
I hope this helped! :)
The function that models the growth of the population is P = 276.6e^0.009t
<h3>What is the function?</h3>
We can see that the table shows the increase in population over time. We know that population growth is an example of exponential function. We have to apply the formula of exponential function.
Let us now obtain the function that could show the population at each time;
Given that;
Po = initial population
P = population at time t
r = rate of population growth
P = Poe^rt
P = 305.9
r = ?
t = 10
Po = 276.6
Substituting values;
305.9 = 276.6e^10r
305.9/276.6 = e^10r
1.1 = e^10r
ln 1.1 = 10r
r = ln1.1/10
r = 0.009
Thus the function is;
P = 276.6e^0.009t
Learn more about population growth:brainly.com/question/18415071
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