We appreciate your visit to Select the correct answer Vint is testing ceiling fans in a factory For one of the tests he switches the fan on and after it. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To solve for the time it takes for the fan to completely stop spinning, we use the equation that models the fan's speed:
[tex]\[ y = -5x^2 + 100x \][/tex]
where [tex]\( y \)[/tex] is the speed in rotations per minute and [tex]\( x \)[/tex] is the time in seconds.
The fan stops spinning when the speed [tex]\( y \)[/tex] is 0. So, we need to find the value of [tex]\( x \)[/tex] when [tex]\( y = 0 \)[/tex].
1. Set the equation equal to zero:
[tex]\[ 0 = -5x^2 + 100x \][/tex]
2. Factor the equation:
[tex]\[ 0 = x(-5x + 100) \][/tex]
3. Solve for [tex]\( x \)[/tex] by setting each factor equal to zero:
- First factor: [tex]\( x = 0 \)[/tex]
- Second factor: [tex]\( -5x + 100 = 0 \)[/tex]
4. Solve [tex]\( -5x + 100 = 0 \)[/tex]:
- Subtract 100 from both sides:
[tex]\[ -5x = -100 \][/tex]
- Divide both sides by -5:
[tex]\[ x = 20 \][/tex]
Therefore, the fan stops completely after 20 seconds. The solutions are [tex]\( x = 0 \)[/tex] and [tex]\( x = 20 \)[/tex]. Since [tex]\( x = 0 \)[/tex] represents the starting point when the fan is turned on, [tex]\( x = 20 \)[/tex] seconds is when the fan stops.
[tex]\[ y = -5x^2 + 100x \][/tex]
where [tex]\( y \)[/tex] is the speed in rotations per minute and [tex]\( x \)[/tex] is the time in seconds.
The fan stops spinning when the speed [tex]\( y \)[/tex] is 0. So, we need to find the value of [tex]\( x \)[/tex] when [tex]\( y = 0 \)[/tex].
1. Set the equation equal to zero:
[tex]\[ 0 = -5x^2 + 100x \][/tex]
2. Factor the equation:
[tex]\[ 0 = x(-5x + 100) \][/tex]
3. Solve for [tex]\( x \)[/tex] by setting each factor equal to zero:
- First factor: [tex]\( x = 0 \)[/tex]
- Second factor: [tex]\( -5x + 100 = 0 \)[/tex]
4. Solve [tex]\( -5x + 100 = 0 \)[/tex]:
- Subtract 100 from both sides:
[tex]\[ -5x = -100 \][/tex]
- Divide both sides by -5:
[tex]\[ x = 20 \][/tex]
Therefore, the fan stops completely after 20 seconds. The solutions are [tex]\( x = 0 \)[/tex] and [tex]\( x = 20 \)[/tex]. Since [tex]\( x = 0 \)[/tex] represents the starting point when the fan is turned on, [tex]\( x = 20 \)[/tex] seconds is when the fan stops.
Thanks for taking the time to read Select the correct answer Vint is testing ceiling fans in a factory For one of the tests he switches the fan on and after it. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
