I think it’s Decreased productivity but I might be wrong.
Answer: The 3 in the new number is in the hundreds place
Explanation:
Stay on task, late work stacks up fast. Don't be afraid to ask questions. Don't wait to study until right before the test, spread out studying throughout the unit. From someone taking two AP classes, they aren't easy but with hard work, they are worth it in the end.
A. You should cross the answer out so you remember what you have used it is so easy to forget what you have used.
Answer:
0.027 cubic ft/min
Explanation:
Volume of water is V=V(t) Depth of water is h=h(t)
The relationship between V and h is
V=π/3.r2.h
Let
h0= the height of the cylinder = 24ft, r0= the radius of the opening = 10ft.
Since water level (h) rise with respect to flow rate we find an expression for r and substitute into V
r/h = r0/h0= 10/24 = 5/12
r = (5/12) h,
Substitute for r in V
so,
V=1/3.π.(h2)square = 1/3.π. 25/144.(h3)
When
h= 16ft
and dV/dt = 20ft3/min
,
dV/dt =1/3*π*25/144*h3*(dh/dt)
20ft3/min= 1/3*π* 25/144*h3*(dh/dt)
20 = 1/3*π*(16)3.(dh/dt)
Make dh/DT subject of formula
dh/dt=(20*3*144)/(25*π*4096) = 8640/321740.8
=
dh/dt= 0.027 ft3/min
