Answer:
0.0048cm/s
Step-by-step explanation:
Volume of the spherical balloon is expressed as;

dV/dt = dV/dr * dr/dt
Given
dV/dt = 5cm³/s
dV/dr = 4πr²
Since V = 972picm³
972π = 4/3πr³
972 = 4/3r³
4r³ = 972 * 3
r³ = (972 *3)/4
r³ = 729
r = ∛729
r = 9cm
dV/dr = 4π(9)²
dV/dr = 324π
dV/dt = dV/dr * dr/dt
5 = 324πdr/dt
dr/dt = 5/324π
dr/dt = 5/324(3.14)
dr/dt = 5/1017.36
dr/dt = 0.0048cm/s
 
        
             
        
        
        
Answer:
im confused?
Step-by-step explanation:
could you please rewrite this question? what are the numbers for?
 
        
             
        
        
        
Answer:
Step-by-step explanation:
(x-3)²-4=0
(x-3)²=4=2²
x-3=±2
x=3±2
x=3-2,3+2
x=1,5
it has two distinct roots and a vertex at x=3
 
        
             
        
        
        
Answer:
a) What is the amount off the original price? 
= $8.4
b) What is the new price for the pair of shoes?
= $33.6 
Step-by-step explanation:
a) What is the amount off the original price?
We are told that:
The sale price is 20% off the original price. 
 Original price = $42
Hence:
$42 × 20%
$42 × 20/100
= $8.4
b) What is the new price for the pair of shoes? 
The new price =
0riginal price - Amount off the original price
= $42 - $8.4
= $33.6
The original price = $33.6