Answer:
The water level is dropping at a rate of 0.24 ft/s
Step-by-step explanation:
Here, we simply want to calculate the change in depth (height of the cone) , given the volume change
Mathematically, we have the volume of a cone as;
V = 1/3 * π * r^2 * h
we are given dv/dt as 12 ft^3/m
dv/dh = 1/3 * π * r^2
Substituting the value for the radius, we have
dv/dh = 1/3 * 22/7 * 4^2 = 50.29
dh/dt = dh/dv * dv/dt
dh/dv = 1/(dv/dh) = 1/50.29
Thus,
dh/dt = 1/50.29 * 12
dh/dt = 0.24 ft/s
For parallel lines, slopes are equal.
5x - 3y = -10
3y = 5x + 10
y = 5/3 x + 10/3
Required slope = 5/3
316 divided by 13= 24.3 gallons of water per square foot
The order from the least to the greatest is 
, 
, 
, and 
.
Step-by-step explanation:
Step 1:
We must determine each of the individual values to be able to arrange the given numbers.
means that so 1 and 7 in the decimal keep repeating so,
and
Now that we have all the four values, we can arrange them in ascending order.
Step 2:
There are two negative numbers, the greater a negative number the lesser it is i.e. 
So the least value is which is followed by .
The other two are positive numbers. As 
so the highest number is .
So the order from the least to the greatest is , , , and .
Answer:
1/8 of an acre
Step-by-step explanation:
