Assume that the volume of air in an average adult’s lung follows a transformed sine
function, as function of time t in seconds,
V (t) = A + B sin(ωt)
Below is a table of measurements of the volume. Identify constants A, B, and ω so
that the function above fits these measurements. After 12 seconds, the measurements
will repeat.
t 0 3 6 9 12
V (t) 7 9 7 5 7

A = 7

B = 2

ω = π/6

Full Equation: V(t) = 7 + 2sin((π/6)t)

Step-by-step explanation:

For this question, you simply have to acquire all the information necessary in order to construct a sine equation. You can easily do this by looking at your table of values (I would recommend graphing it for a visual aid).

From there you can observe that the graph is shifted up by 7 units (here is where we get the A value of 7).

The amplitude of the graph is 2 units (we can see this by comparing the highest point of the graph to its horizontal center line).

Finally, the period of the graph is obtained by setting 2π/ω equal to 12 (12 being the time it takes for the graph to do a full period). Here we get a value of π/6.

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation:

are you an artist's daughter? cuz dang you a fine piece of art, girl.