The temperature of a chemical reaction ranges between −10 degrees celsius and 50 degrees celsius. the temperature is at its lowest point when t = 0, and the reaction completes 1 cycle during a 6-hour period. what is a cosine function that models this reaction?
f(t) = −30 cos (pi/3) t + 20

f(t) = −60 cos (pi/3) t + 30

f(t) = 30 cos (6t) + 20

f(t) = 60 cos (6t) + 30

Option 1 -

Step-by-step explanation:

Given : The temperature of a chemical reaction ranges between −10 degrees Celsius and 50 degrees Celsius. The temperature is at its lowest point when t = 0, and the reaction completes 1 cycle during a 6-hour period.

To find : What is a cosine function that models this reaction?

Solution :

General form of cosine function is

Where A is the amplitude

C is the midline    

Now, We have given

The temperature of a chemical reaction ranges between −10 degrees Celsius and 50 degrees Celsius.

A is the average of temperature,

i.e,

Period of 1 cycle is 6 hour

So,

The temperature is at its lowest point when t = 0 and we know lowest point is -10

So,

Substituting the values we get,

The cosine function is  

Therefore, Option 1 is correct.

12m

step-by-step explanation:

square root means have of a number so have of 3 is 1.5 then multiply it by 8 and you get your answer!

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