A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
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 12hour period. What is a cosine function that models this reaction?
f(t) = 70 cos 12t + 110
f(t) = 110 cos 12t + 70
f(t) = −70 cos pi over 6t + 110
f(t) = −110 cos pi over 6t + 70
anonymous
 one year ago
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 12hour period. What is a cosine function that models this reaction? f(t) = 70 cos 12t + 110 f(t) = 110 cos 12t + 70 f(t) = −70 cos pi over 6t + 110 f(t) = −110 cos pi over 6t + 70

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Jacob902 @pooja195 @Hero

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Michele_Laino @dan815

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1the amplitude A of your function is: \[\Large A = \frac{{180  40}}{2} = ...?\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1no, since the period of our function is 12 hours, so the shape og our function has to be this: \[\Large \cos \left( {\frac{{2\pi }}{{12}}t} \right)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It's really hard so I don't really know what to plug in for the shape of function

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1since at t=0, the value is 40, then we have this drawing: dw:1436896425801:dw

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1now, if I set t=0 into the first option I get: f(0)= 180 so the first option is not the right option

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh okay so what is next? @Michele_Laino

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1please substitute t=0 into the third option, what do you get? f(0)=...?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1we have: \[\Large  70\left( {\cos 0} \right) + 110 =  70 \times 1 + 110 = 40\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1so, what can you conclude?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I can conclude the answer is C.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.