ivanzud
  • ivanzud
Urgent:Action Required::: The temperature of a chemical reaction ranges between 40 degrees Celsius and 180 degrees Celsius. The temperature is at its lowest point when t = 0, and the reaction completes 1 cycle during a 12-hour period. What is a cosine function that models this reaction?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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ivanzud
  • ivanzud
help!
ivanzud
  • ivanzud
ivanzud
  • ivanzud
is it f(t) = 70 cos 12t + 110?

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More answers

anonymous
  • anonymous
C.
CBARREDO1
  • CBARREDO1
C
ivanzud
  • ivanzud
why C?
anonymous
  • anonymous
the amplitude A of your function is: \[\Large A = \frac{{180 - 40}}{2} = ...?\]
ivanzud
  • ivanzud
70
CBARREDO1
  • CBARREDO1
Yes
anonymous
  • anonymous
Corrcet
ivanzud
  • ivanzud
but c has -70
anonymous
  • anonymous
since the period of our function is 12 hours, so the shape og our function has to be this: \[\Large \cos \left( {\frac{{2\pi }}{{12}}t} \right)\]
ivanzud
  • ivanzud
but why -70 in the front?
anonymous
  • anonymous
since at t=0, the value is 40, then we have this drawing: |dw:1436896425801:dw| now, if I set t=0 into the first option I get: f(0)= 180 so the first option is not the right option
ivanzud
  • ivanzud
ok so it is C.
CBARREDO1
  • CBARREDO1
Yes C
anonymous
  • anonymous
please substitute t=0 into the third option, what do you get? f(0)=...? -70 cos + 110? we have: \[\Large - 70\left( {\cos 0} \right) + 110 = - 70 \times 1 + 110 = 40\] So da answer is C. U WELCOME IF ANY OF YALL NEED HELP IN MATH JUST ASK ME IM A LITTLE GOOD IN MATH k PEACE OUT SON

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