The temperature, H, in °F, of a cup of coffee t hours after it is set out to cool is given by the equation: °(²) ²³ (a) What is the coffee's temperature initially (that is, at time t = 0)? Initially, the coffee's temperature is i (b) What is the coffee's temperature after 1 hour? Enter the exact answer. H = 70+ 120 After 1 hour the coffee's temperature is i (c) How long does it take the coffee to cool down to 90°F? Round your answers to three decimal places. The coffee temperature reaches 90°F after i °F. °F. hours.
The temperature, H, in °F, of a cup of coffee t hours after it is set out to cool is given by the equation: °(²) ²³ (a) What is the coffee's temperature initially (that is, at time t = 0)? Initially, the coffee's temperature is i (b) What is the coffee's temperature after 1 hour? Enter the exact answer. H = 70+ 120 After 1 hour the coffee's temperature is i (c) How long does it take the coffee to cool down to 90°F? Round your answers to three decimal places. The coffee temperature reaches 90°F after i °F. °F. hours.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![The temperature, \( H \), in °F, of a cup of coffee \( t \) hours after it is set out to cool is given by the equation:
\[ H = 70 + 120 \left( \frac{1}{4} \right)^t \]
**(a)** What is the coffee's temperature initially (that is, at time \( t = 0 \))?
Initially, the coffee's temperature is \(\boxed{\phantom{00}}\) °F.
**(b)** What is the coffee's temperature after 1 hour?
Enter the exact answer.
After 1 hour the coffee's temperature is \(\boxed{\phantom{00}}\) °F.
**(c)** How long does it take the coffee to cool down to 90°F?
Round your answers to three decimal places.
The coffee temperature reaches 90°F after \(\boxed{\phantom{00}}\) hours.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F92ab3c20-a3cd-4c1e-8775-52ac5ed4d4cf%2Fea6403cc-33e9-4cce-b572-1ebc329516e7%2Fxvjpsu_processed.png&w=3840&q=75)
Transcribed Image Text:The temperature, \( H \), in °F, of a cup of coffee \( t \) hours after it is set out to cool is given by the equation:
\[ H = 70 + 120 \left( \frac{1}{4} \right)^t \]
**(a)** What is the coffee's temperature initially (that is, at time \( t = 0 \))?
Initially, the coffee's temperature is \(\boxed{\phantom{00}}\) °F.
**(b)** What is the coffee's temperature after 1 hour?
Enter the exact answer.
After 1 hour the coffee's temperature is \(\boxed{\phantom{00}}\) °F.
**(c)** How long does it take the coffee to cool down to 90°F?
Round your answers to three decimal places.
The coffee temperature reaches 90°F after \(\boxed{\phantom{00}}\) hours.
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