Answer:
Step-by-step explanation:
Given that acceleration of an object is

is the solution to the differential equation
Since v(0) =7
we get ln 7 = C
Hence 
since velocity is rate of change of distance s we have
![v=\frac{ds}{dt} =7e^{-2t}\\s= [tex]s(t) =\frac{-7}{2} (e^{-2t})+C)[](https://tex.z-dn.net/?f=v%3D%5Cfrac%7Bds%7D%7Bdt%7D%20%3D7e%5E%7B-2t%7D%5C%5Cs%3D%20%5Btex%5Ds%28t%29%20%3D%5Cfrac%7B-7%7D%7B2%7D%20%28e%5E%7B-2t%7D%29%2BC%29%5B)
substitute t=0 and s=0

So solution for distance is

Answer:
Marco- 10 is the starting value of the population. 2 is the growth rate of "double each day" with d as an exponent.
Isabella- 1 is the starting population. 1+0.2=1.2 is the rate at which it grows each day.
Step-by-step explanation:
Marco's equation should be
since the bacteria double each day. 10 is the starting value of the population. 2 is the growth rate of "double each day" with d as an exponent. This will double each day because:
Day 1 is 
Day 2 is 
Day 3 is 
Day 4 is 
You'll notice the value doubles each day.
Isabella has a different equation because her population increases by a percentage. We use the simple interest formula to calculate the bacteria's daily increase or interest.
1(1+0.2)d
1 is the starting population.
1+0.2=1.2 is the rate at which it grows each day.
9514 1404 393
Answer:
30°, 150°
Step-by-step explanation:
You know the answer to this because you have memorized the short table of trig function values.
sin(θ) = 1/2 for θ = 30° and θ = 150°
I will assume you want it in the form of y>mx+b
0.5x-2y>3
0.5x-3>2y
0.25x-1.5>y
Answer:
try x equals nine I am sure