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:
1/3
Step-by-step explanation:
It is 2 4/5, 2 4/5 is 2.8, 4/5 is greater than 3/4
You could solve this using a proportion or just by common sense.
Proportion: 8/12 = x/126
Cross multiply: 12x = 1008
1008/12 = 84
Or the common sense route is just dividing 12 by 8 then multiplying the answer by 126. Either way, you get the same answer. Hope this helps! :)
~Ash
5 of the 6 exits were men, so the experimental probability that a man exits the room is 5/6.
