A community for students.
Here's the question you clicked on:
 0 viewing
help_people
 one year ago
Please check if this is right???
help_people
 one year ago
Please check if this is right???

This Question is Closed

help_people
 one year ago
Best ResponseYou've already chosen the best response.1A bucket of paint has spilled on a tile floor. The paint flow can be expressed with the function r(t) = 3t, where t represents time in minutes and r represents how far the paint is spreading. The flowing paint is creating a circular pattern on the tile. The area of the pattern can be expressed as A(r) = πr2. Part A: Find the area of the circle of spilled paint as a function of time, or A[r(t)]. Show your work. Part B: How large is the area of spilled paint after 10 minutes? You may use 3.14 to approximate π in this problem.

help_people
 one year ago
Best ResponseYou've already chosen the best response.1Part A: You will plug in 3t to A(r) = pir^2 When you plug in the 3t you get: A[r(t)]= pi(3t)^2 =pi * (3t)^2 =pi * (3t * 3t) =28.274334t^2 ( I was just simplifying). Part B: 30 is r, because 30 is the radius after 10 minutes: π(30)2=900π = 900 x 3.14=2826

hartnn
 one year ago
Best ResponseYou've already chosen the best response.2part A, don't simplify, write \(9\pi t^2\) as the answer. part B, writing units would be better 2826 sq. units

help_people
 one year ago
Best ResponseYou've already chosen the best response.1it also says show your work for part a so what would i put and ok for part b

hartnn
 one year ago
Best ResponseYou've already chosen the best response.2you did show your work for part A properly, just keep the final answer as 9pi t^2 and instead of writing answer for part B as 2826 write 2826 sq. units

hartnn
 one year ago
Best ResponseYou've already chosen the best response.2Part B: 10 is r, because 10 is the radius after 10 minutes: 9π(10^2)=900π = 900 x 3.14=2826 sq units. ^^^

hartnn
 one year ago
Best ResponseYou've already chosen the best response.2Part B: 10 is t, because we need area after 10 minutes: 9π(10^2)=900π = 900 x 3.14=2826 sq units.  t =10, 10 is actually time :P

help_people
 one year ago
Best ResponseYou've already chosen the best response.1Is this what you would like me to do with Part A? : Part A: You will plug in 3t to A(r) = pir^2 When you plug in the 3t you get: A[r(t)]= pi(3t)^2 =pi * (3t)^2 =pi * (3t * 3t) =9pit^2

help_people
 one year ago
Best ResponseYou've already chosen the best response.1ok so is 30 still radius or ?

help_people
 one year ago
Best ResponseYou've already chosen the best response.1(just out of curiosity)

hartnn
 one year ago
Best ResponseYou've already chosen the best response.2where did you get 30 from?? i don't even see 30 in the question :P

hartnn
 one year ago
Best ResponseYou've already chosen the best response.2but yes, 30 will be the radius after 10 minutes :)

help_people
 one year ago
Best ResponseYou've already chosen the best response.1I believe i multiplied 10 x 3 in 3(t) to get 30 and called it radius. To think about it that was stupid.

triciaal
 one year ago
Best ResponseYou've already chosen the best response.0@hartnn r(t) = 3t and 10 = 10 so r = 30

help_people
 one year ago
Best ResponseYou've already chosen the best response.1Is this what you wanted me to do with part a: Part A: You will plug in 3t to A(r) = pir^2 When you plug in the 3t you get: A[r(t)]= pi(3t)^2 =pi * (3t)^2 =pi * (3t * 3t) =9pit^2

help_people
 one year ago
Best ResponseYou've already chosen the best response.1wait so what about pt b?

help_people
 one year ago
Best ResponseYou've already chosen the best response.1Part B: 10 is t, because we need area after 10 minutes: 9π(10^2)=900π = 900 x 3.14=2826 So, the answer is 2826 sq. units.

hartnn
 one year ago
Best ResponseYou've already chosen the best response.2Part B: 10 is t, because we need area after 10 minutes: 9π(10^2)=900π = 900 x 3.14=2826 sq units. yesss

help_people
 one year ago
Best ResponseYou've already chosen the best response.1ok so everything is bueno?

hartnn
 one year ago
Best ResponseYou've already chosen the best response.2bueno? yes, everything is okay :)
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.