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
As far as I can tell, that is as far as the expression can be simplified :)
Answer:
(5, infinitysymbol)
Step-by-step explanation:
First solve the inequality. Subtract 2 from both sides.
x + 2 > 7
x > 5
So that is one way of writing the answer and it is hopefully kind of understandable. X>5 means all the numbers greater (bigger) than 5, forever to infinity.
Interval notation is a way of writing a set or group of numbers. Interval notation uses ( ) parenthesis or [ ] square brackets. Then two numbers go inside with a comma in between. The first number is where the set of numbers start and the second number is where the set ends. You always put parenthesis around the infinity symbol or negative infinity symbol. You only use a square bracket if the inequality symbols have the "or equal to" underline under the > or <.
So x > 5 in interval notation is:
(5, infinitysymbol)
This shows that 5 is not included in the solution; and all the numbers forever bigger than five are solutions as well.
9514 1404 393
Answer:
right
Step-by-step explanation:
1.0 cm = 10. mm . . . . . . the decimal point is moved to the right
3.5 cm = 35. mm . . . . . . the decimal point is moved to the right
