The surface area of the sphere is:
A = 4 * pi * r ^ 2
Deriving we have:
A '= 8 * pi * r * r'
We clear the speed:
r '= A' / (8 * pi * r)
Substituting values:
r '= 24 / (8 * pi * 3)
r '= 1 / pi inch / sec
Then, the volume of the sphere is:
V = (4/3) * (pi) * (r ^ 3)
Deriving we have:
V '= (3) * (4/3) * (pi) * (r ^ 2) * (r')
Substituting values:
V '= (3) * (4/3) * (pi) * (3 ^ 2) * (1 / pi)
Rewriting:
V '= (4) * (9)
V '= 36 inch3 / sec
Answer:
the volume of the ice is changing at 36 inch3 / sec at that moment
Answer:
see explanation
Step-by-step explanation:
note that 3.28 = 2 × 1.64
This could be a geometric sequence with common ratio r = 2
To obtain the next term multiply the previous term by 2
3.28 × 2 = 6.56
6.56 × 2 = 13.12
1.64, 3.28, 6.56, 13.56 ← first 4 terms in sequence
Answer:
95% Confidence interval for the mean

Step-by-step explanation:
We have to calculate a 95% confidence interval for the mean of a finite population.
The error is multiplied by the following finite population correction factor:

The standard deviation can be estimated as

The 95% confidence interval has a z value of 1.96, so it becomes:

Answer:
Which school do you attend please and which grade are you in please
Answer:

Step-by-step explanation:
2x + 17.6 = 6
Subtracting both sides by 17.6
2x = 6 - 17.6
2x = -11.6
Dividing both sides by 2
x = -11.6 / 2
x = -5.8