Answer:
1. V = πr²h
2. dv/dt = πr²dh/dt
3. dv/dt = 113.04
Step-by-step explanation:
We have these information
Radius R = 3cm
Height = h
Volume = V
We have been given dh/dt = 4cm
1.
An equation relating V, r, h
Volume of cylinder = πr²h
2.
The related rates equation
dv/dt = πr²dh/dt
dv/dt = π3²dh/dt
3. Continuing from number 2 above, we have
dv/dt = π3²dh/dt
= π9x4
= 3.14x9x4
= 113.04
These are the answers to the questions
X-2=10
or
10=x-2
this is because it says "2 less than a number is 10" so we can infer that 2 is less than a number (x) so knowing that less than means subtract x-2=10 or you can put it as 10=x-2
Answer:
15% of 20 is 3
Step-by-step explanation:
because 15/100 can be reduced if you divide by 5 which will be 3/20. After you multiply 3/20 by 20/1. So 20*3 is 60 divided by 20 because 20*1 equals 20 you get 3.
Answer:
0.1569 = 15.69%
Step-by-step explanation:
If eight calls were placed, and we need to know the probability of exactly two calls were occupied, we need to calculate a combination of 8 choose 2 (all the combinations of 2 occupied calls in the 8 total calls), and multiply by the probability of each case in the 8 calls (2 cases occupied and 6 cases not occupied):
P(8,2) = C(8,2) * p(occupied)^2 * p(not_occupied)^6
P(8,2) = (8*7/2) * (0.45)^2 * (0.55)^6
P(8,2) = 28 * 0.2025 * 0.02768 = 0.1569 = 15.69%
Answer: 19,461
Step-by-step explanation:
Add 19,000+400 get 19,400
Add 19,400+60 and get 19,460 add 1 and get 19,461
