Answer:
Step-by-step explanation:
x=0.6121212... (1)
10x=6.121212... (2)
1000 x=612.121212... (3)
(3)-(2) gives
990 x=606
330x=202
165x=101
x=(101)/165
The diameter of the sphere is 60 mm which means its radius is 30mm. <span>The radius of a sphere is increasing at a rate of 5 mm/s.
The formula for the radius when the time is x second would be:
</span>r(t)<span>= 30+ 5x
dr/dt= 5
The speed of </span><span>volume increase </span><span>of the sphere volume would be derived from sphere volume:
</span>V(r)=4/3* pi * r^3<span>
dV/dt= 4/3 * pi * 3r^2 * (dr/dt) =4/3* pi * 3(30)^2 * 5 = 18000 pi= 56571 mm^3/s</span>
Answer:
3 peanut cookies
Step-by-step explanation:
Given that :
Plate 1:
Number of chocolate chip = 4
Number of peanut butter cookies = 1
Probability of drawing chocolate chip cookies from plate 1 :
Probability =( number of required outcome / Total possible outcomes)
P(chocolate chip) = 4 / 5
Plate 2:
Number of chocolate chip = 2
Number of peanut butter cookies = p
P(chocolate chip) = 2 / (2 + p)
Probability of drawing chocolate chip from plate 1 and then plate 2 = 8/ 25
(4/5) * 2/(2+p) = 8/ 25
8 / (10 + 5p) = 8/ 25
8(10 + 5p) = 8 * 25
80 + 40p = 200
40p = 200 - 80
40p = 120
p = 3
