Answer:
A) A(t)  =  4500*π  -  1600*t 
B) A(4)  =  7730 in³
C) t  =  8,8 sec
Step-by-step explanation:
The volume of the sphere is:
d max  =  30   r max  =  15 in
V(s) =  (4/3)*π*r³      V(s)  =   (4/3)*π* (15)³
V(s) = 4500*π
A)  Amount of air needed to fill the ball A(t)
A(t)  = Total max. volume of the sphere - rate of flux of air * time
A(t)  =  4500*π  -  1600*t    in³
B) After 4 minutes
A(4)  =  4500*π  - 6400 
A(4)  =  14130 - 6400
A(4)  =  7730 in³
C)  A(t)  =  4500*π  -  1600*t  
when  A(t) = 0   the ball got its maximum volume then:
4500*π -  1600*t  =  0
t  =   14130/1600
t  =  8,8 sec
 
        
             
        
        
        
Answer:
looks like D...............
 
        
             
        
        
        
Answer:
0.24 its opposite value is - 0.24
 1/4 its opposite value is -1/4
0
 -5 its opposite value is 5
240 which is positive and its opposite value is -240
Step-by-step explanation:
hey
from the given statement we can see that question demand is about the opposite values. so
as our first value is 0.24 its opposite value is - 0.24
then move on next value is 1/4
its opposite value is -1/4
0 is a neutral value it neither positive or negative
move on to the next value which is -5 who is already negative
so we take a positive value that is 5
again move to 240 which is positive and its opposite value is -240
Hope it will be brainliest to you
 
        
             
        
        
        
Answer:
b = 10
Step-by-step explanation:
The area (A) of a triangle is calculated as
A =  bh ( b is the base and h the height )
 bh ( b is the base and h the height )
Here h = 3x + 15 and A = 15x + 75, thus
 × b × (3x + 15) = 15x + 75
 × b × (3x + 15) = 15x + 75
Multiply both sides by 2 to clear the fraction
b(3x + 15) = 30x + 150
Divide both sides by (3x + 15)
b =  ← factor numerator and denominator
 ← factor numerator and denominator
   =  ← cancel the factor (x + 5) on numerator/denominator
 ← cancel the factor (x + 5) on numerator/denominator
   = 
   = 10