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.
Answer:
12 cm = 21.62 miles
6 cm = 11.04 miles
Step-by-step explanation:
To find the distance, set up a proportion. A proportion is two equal ratios set equal to each other. We form the ratios by using corresponding values. We write a ratio of
and simplify.
We know
. We know the distance on the map is 12 cm and 6 cm whish converts to 4.7 inches and 2.4 inches. We can write
and
We set them equal.
and
To solve each proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

and

97% is greater than 0.097
Answer:
a15 = 50
t25 = 33554427
Step-by-step explanation:
<em>Insert/Substitute the number given in for n.</em>
a15 = 3(15) + 5
a15 = 45 + 5
a15 = 50
~
t25 = 2^25 - 5 <em>2 times itself 25 times. 25 is the exponent in this equation</em>
t25 = 33554432 - 5
t25 = 33554427