MHB Finding Temperature of Hot Sandwich: Equation & Answers

  • Thread starter Thread starter arroww
  • Start date Start date
  • Tags Tags
    Temperature
AI Thread Summary
The discussion revolves around calculating the temperature of a hot sandwich using the equation T(t) = 63(0.5)^(t/10) + 19. To find the initial temperature when recording begins, substitute t = 0 into the equation, resulting in T(0) = 63 + 19 = 82 degrees Celsius. For part b, substituting t = 20 into the equation gives T(20) = 63(0.5)^(2) + 19, which simplifies to approximately 54.75 degrees Celsius. Participants seek clarification on how to properly substitute values into the equation to find the temperatures. Understanding the substitution process is crucial for solving similar problems.
arroww
Messages
16
Reaction score
0
9) A student records the internal temperature of a hot sandwich that has been left to cool on a kitchen counter. The room temperature is 19 degrees Celsius. An equation that models this situation is $$T(t) = 63(0.5)^\frac{t}{10} + 19$$ where $$T$$ is the temperature in degrees Celsius and $$t$$ is the time in minutes.

a) What was the temperature of the sandwich when she began to record its temperature?
b) Determine the temperature of the sandwich after 20 min.I don't really understand what to do..help would be appreciated. Thanks!
 
Mathematics news on Phys.org
The equation you are given tells you the temperature of the sandwich at time $t$. So, you need to substitute for $t$ and then evaluate the resulting expression on the right side of the equation. What is the value of $t$ for part a)? And for part b)?
 

Thread 'Non-orthogonal bases'

Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
View full post »

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Similar threads

MHB Is my answer correct? (Exponential Functions)
Replies
1
Views
1K
MHB Sammy's question at Yahoo Answers regarding Newton's Law of Cooling
Replies
1
Views
2K
Answer: Terminal Temperature of Water with Ice Cube
Replies
6
Views
3K
MHB 3.1.5 AP Calculus Exam average temperature
Replies
3
Views
2K
What was the temperature of the object?
Replies
4
Views
2K
Find the temperature of Liquid A after 12 minutes
Replies
13
Views
2K
How Hot Was the Campfire's Aluminum Can Before Cooling in Water?
Replies
2
Views
2K
Hot Air Balloon: Find inside temperature given size, load
Replies
10
Views
7K
Heat required to increase the temperature
Replies
4
Views
2K
MHB Differential Equations of Calculus Problems- Calc I course
Replies
4
Views
3K

Hot Threads

Recent Insights

Back
Top