a mihute of losing some air the pump runs its second cycle. Find the volume immediately following the second pump cycle.. (Report to 0.1 place with NO labels, please!) V2 = 13.5 cubic feet. b) Then, after another minute of losing air the pump runs its third cycle. Find the volume immediately following the third pump cycle. (Report to 0.1 place with NO labels, please!) V3 = 12.2
a mihute of losing some air the pump runs its second cycle. Find the volume immediately following the second pump cycle.. (Report to 0.1 place with NO labels, please!) V2 = 13.5 cubic feet. b) Then, after another minute of losing air the pump runs its third cycle. Find the volume immediately following the third pump cycle. (Report to 0.1 place with NO labels, please!) V3 = 12.2
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Question
![**Educational Text Transcription:**
---
**(Report to 0.1 place with NO labels, please!)**
\( V_3 = \)
\[ 12.2 \]
cubic feet.
c) Find the volume immediately following the 30th pump cycle.
**(Report to 0.1 place with NO labels, please!)**
\( V_{30} = \)
\[ 0.7 \]
cubic feet.
In the long run, as this process continues indefinitely, determine the volume that the bouncy house will stabilize at:
**(Hint: This is a whole number; still NO labels, please!)**
\[ \_\_\_\_\_\_ \]
cubic feet.
---](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F322ab9b5-8b73-42ca-a79a-5c7ee3611144%2F8d3c61cb-5bb4-4eab-bffe-55b4fc07ceb9%2Fufpt3w9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Text Transcription:**
---
**(Report to 0.1 place with NO labels, please!)**
\( V_3 = \)
\[ 12.2 \]
cubic feet.
c) Find the volume immediately following the 30th pump cycle.
**(Report to 0.1 place with NO labels, please!)**
\( V_{30} = \)
\[ 0.7 \]
cubic feet.
In the long run, as this process continues indefinitely, determine the volume that the bouncy house will stabilize at:
**(Hint: This is a whole number; still NO labels, please!)**
\[ \_\_\_\_\_\_ \]
cubic feet.
---
![**Volume Calculation in a Bouncy House**
A large air pump injects 15 cubic feet of air into a bouncy house for each cycle. The bouncy house is designed to lose 10% (maintaining 90%) of its air volume through vents and seams each minute thereafter.
**Initial Volume:**
- After the first pump cycle, the bouncy house has a volume \( V_1 = 15 \) cubic feet momentarily.
**Exercise:**
a) **Second Pump Cycle:**
- After a minute of losing some air, the pump begins its second cycle. Calculate the volume immediately following this cycle.
\[ V_2 = \]
- Answer: 13.5 cubic feet.
b) **Third Pump Cycle:**
- After another minute of losing air, the pump begins its third cycle. Calculate the volume immediately following this cycle.
\[ V_3 = \]
- Answer: 12.2 cubic feet.
**Note:** Report to one decimal place without labels.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F322ab9b5-8b73-42ca-a79a-5c7ee3611144%2F8d3c61cb-5bb4-4eab-bffe-55b4fc07ceb9%2Fy90l4l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Volume Calculation in a Bouncy House**
A large air pump injects 15 cubic feet of air into a bouncy house for each cycle. The bouncy house is designed to lose 10% (maintaining 90%) of its air volume through vents and seams each minute thereafter.
**Initial Volume:**
- After the first pump cycle, the bouncy house has a volume \( V_1 = 15 \) cubic feet momentarily.
**Exercise:**
a) **Second Pump Cycle:**
- After a minute of losing some air, the pump begins its second cycle. Calculate the volume immediately following this cycle.
\[ V_2 = \]
- Answer: 13.5 cubic feet.
b) **Third Pump Cycle:**
- After another minute of losing air, the pump begins its third cycle. Calculate the volume immediately following this cycle.
\[ V_3 = \]
- Answer: 12.2 cubic feet.
**Note:** Report to one decimal place without labels.
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