The temperature of a chemical reaction ranges between 20 degrees celsius and 160 degrees celsius. the temperature is at its lowest point when t = 0, and the reaction completes 1 cycle during an 8-hour period. what is a cosine function that models this reaction?

The cosine function that models this reaction is:

Step-by-step explanation:

The general cosine function has the following form

Where A is the amplitude: half the vertical distance between the highest peak and the lowest peak of the wave.

is the period: time it takes the wave to complete a cycle.

k is the vertical displacement.

The maximum temperature is 160 and the minimum is 20. Then the amplitude A is:

The reaction completes a cycle in 8 hours

Then the period is 8 hours.

Thus:

The function is:

when y is minumum therefore

So

Now we substitute in the function and solve for k

Finally

answer: the answer is 5/22

step-by-step explanation: if you subtract 17 from 22 the answer is 5 therefore the remainder of students are female

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i