Answer:
137/(36π) ft/s
Step-by-step explanation:
The rate of change of volume will be the product of the rate of change of radius and the area of the sphere. The area of the sphere is ...
A = 4πr² = 4π(6 ft)² = 144π ft²
Then the relationship above is ...
dV/dt = A·dr/dt
548 ft³/s = (144π ft²)·dr/dt
dr/dt = (548 ft³/s)/(144π ft²) = 137/(36π) ft/s ≈ 1.2113 ft/s
Answer: 2/3
Step-by-step explanation:
3(y-1) = 2x + 2
Expand: 3y - 3 = 2x + 2
Isolate the y by adding 3 to both sides: 3y = 2x +5
Isolate the y by dividing 3 from both sides: y = 2/3x +5/3
Remember, in y = mx + b, m = slope.
So, 2/3 is the slope.
(p)=(333+114)•3
because 114 pages are already read and if he needs 333 pages to reach 1/3 of the book you add 114 and 333 so you can find out how much pages is 1/3 of the book. then you multiply that number by 3 because there are 3 sections of 333+114.
Answer:
v = 18
Step-by-step explanation:
8/3v = 48
were going to have to get 3 on the other side, so were going to cancel it out and multipliy it because it is a fraction
now we would have 8v = 48*3
48*3=144
now the equation looks like this 8v = 144
to isolate v we can divide 8 on both sides
which brings us to v = 18
High Hopes^^
Barry-
-10/40 = y / -5
cross multiply
(40)(y) = (-5)(-10)
40y = 50
y = 50/40
y = 5/4 <===
