Answer: No, 1/3 is equal to 2/6
Step-by-step explanation: If you multiply the bottom number, the denominator, and the top number, the numerator, by 2, you will get 2/6 which is equal to 1/3.
Answer:
q + 7
Step-by-step explanation:
(q² + 4q − 21) / (q − 3)
Factor the numerator:
(q + 7) (q − 3) / (q − 3)
Divide:
q + 7
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
