Answer: Level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.
Step-by-step explanation:
Since we have given that
Height = 9 inches
Diameter = 6 inches
Radius = 3 inches
So, 
Volume of cone is given by

By differentiating with respect to time t, we get that

Now, the liquid drips out the bottom of the filter at the constant rate of 4 cubic inches per second, ie 
and h = 2 inches deep.

Hence, level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.
3(2x+8)=8x+46
6x+24=8x+46
-2x+24=46
-2x=22
x=-11
3(2(-11)+8)=8(-11)+46
3(-22+8)=-88+46
3(-14)=-42
-42=-42
Hope I didn't mess up for your sake
Answer: The probablty is is 41221/26 or 0.00669%
Step-by-step explanation:
Drawing tiles from the bag at one time is mathematically equivalent to drawing one tile 4 times inculding the vowel, without replacement.
If we get one of these 4 letters on draw 1, then on draw 2, we'll have 3 possible successful draws out of the 25 tiles left.
This pattern continues down to draw 4. Since each draw is independent, we just multiply the probabilities together:
Answer:
4
a=k/b squared when a=1,b=4 k=16
When b=4 a=1