The radius of the balloon given the information in the question is 8.98cm.
<h3>What is the radius of the balloon?</h3>
The first step is to determine the volum of the balloon.
Volume = 81π cm^3 x 12 = 972π cm^3
Now, determine the radius using this formula:
∛[Volume / (4/3π )]
∛[972π cm^3/ (4/3π )] = 8.98cm
Here is the complete question:
Andy is blowing up a spherically shaped balloon. If he is able to blow 81π cm^3 of air with every breath, it takes him 12 breaths to fully inflate the balloon. What is the radius of the balloon?
To learn more about the volume of a sphere, please check: brainly.com/question/13705125
Answer:
Simplified form is 
.
Step-by-step explanation:
The given expression is 
We can rewrite the given expression as 
Further simplification of the expression gives 
So the simplified of the given expression is ![=[tex]-(\frac{8x^{3}}{3x-2})](https://tex.z-dn.net/?f=%3D%5Btex%5D-%28%5Cfrac%7B8x%5E%7B3%7D%7D%7B3x-2%7D%29)
Answer:
choice. c.) (5, 1/2)
Step-by-step explanation:
(5, 4) and (5, -3)
Use midpoint formula ( (a + x)/2 , (b + y)/2) for (a,b), (x,y)
midpoint = ( (5+5)/2, (4+- 3)/2) = (5, 1/2)
Answer:
x = 0.1, y = 0.075
Step-by-step explanation:
Given the 2 equations
27x + 24y = 4.5 → (1)
1.5x + y = 0.225 → (2)
Multiplying (2) by - 24 and adding to (1) will eliminate the y- term
- 36x - 24y = - 5.4 → (3)
Add (1) and (3) term by term to eliminate y
- 9x = - 0.9 ( divide both sides by - 9 )
x = 0.1
Substitute x = 0.1 into either of the 2 equations and solve for y
Substituting into (2)
1.5(0.1) + y = 0.225
0.15 + y = 0.225 ( subtract 0.15 from both sides )
y = 0.075
The correct answer for this question is: The <span>period(s) of time where the average rate of changes to zero is </span>"b.The average rate of change of temperature is 0 from 2 PM to 4 PM and also from 10 AM to 8 PM; Nothing can be concluded about the actual temperature fluctuation."
