Answer:
<em>Proof below</em>
Step-by-step explanation:
<u>Exponential Grow Model</u>
The equation to model some time dependant event as an exponential is
Where Ao is the initial value, k is a constant and t is the time. With the value of Ao and k, we can compute the value of A for any time
We are required to find the time when the population being modeled doubles from Ao to 2 Ao. We need to solve the equation
Simplifying by Ao
Taking logarithms in both sides
By properties of logarithms and since lne=1
Solving for t
Hence proven
1. you do 7×---=21 next you do not what the answer was to 7×---=21 times 3
2. go back to 1.( what you did to 1. )
3. go back to 1. ( what you did to 1.)
We know that the number of workers doubles every week.
This implies that the number of workers of the previous week is exactly half of the current one's.
So, it took 11 weeks for the factory to be at half capacity.
The inscribed angle theorem says that
Triangle AOC is isosceles because both AO and CO are radii of the circle and have the same length. This means angles CAO and ACO have the same measure and are congruent.
Angles ACO and COD are congruent because they form an alternating interior pair between the parallel lines AC and OD.
Taking all these facts together, we have
and since angle COB is made up of angles COD and DOB, these angles must be congruent, and so the arcs they subtend (CD and DB, respectively) must also congruent.
Y=kx^2 (k being a constant)
72=k (3^2)
k=8
y=8x^2
