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

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.

these sign is used to tell weather the number is greater or less than the number   <   or >     but this sign means its equal =    

hope this you and

step-by-step explanation: