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: 21
Step-by-step explanation:
k(x) =x^3-2x
k(3) =3^3-2*(3)
k(3) =27-6
k(3) = 21
Answer:1010 adult tickets and 640 child tickets were sold
Step-by-step explanation:
Let x represent the number of adult tickets that were sold.
Let y represent the number of child tickets that were sold.
The total number of tickets sold was 1650. This means that
x + y = 1650
Tickets to a Broadway show cost $35 for adults and $10 for children. The total receipts for 1650 tickets at one performance were $41,750. This means that
35x + 10y = 41750 - - - - - - - - - -1
Substituting x = 1650 - y into equation 1, it becomes
35(1650 - y) + 10y = 41750
57750 - 35y + 10y = 41750
- 35y + 10y = 41750 - 57750
- 25y = - 16000
y = - 16000/-25
y = 640
x = 1650 - y = 1650 - 640
x = 1010
If y equals 2x - 3 in the second equation, than subsitute it in for y in the first.
2x + 2x - 3 = 5
4x - 3 = 5
4x = 8
x=2
2(2) + y = 5
x = 2 and y = 1
Answer: C: The triangles are reflected across the line y = x.
Step-by-step explanation: I got right on edge.