Answer:
The Tenth Amendment helps to define the concept of federalism, the relationship between Federal and state governments. As Federal activity has increased, so too has the problem of reconciling state and national interests as they apply to the Federal powers to tax, to police, and to regulations such as wage and hour laws, disclosure of personal information in recordkeeping systems, and laws related to strip-mining.
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
Answer:
Farrah: 5 pieces of (3/4) blue yarn, 1 piece of (1 3/5) red yarn, and 1 piece of (2 1/2) green yard
Alice: 3 pieces of (3/4) blue yarn, 2 pieces of (1 3/5) red yarn, and 1 piece of (2 1/2) green yard
Pia: 9 pieces of (3/4) blue yarn
Explanation: Farrah: (0.75*5)+1 3/5+2.5 = 7.85 ft
Alice: (0.75*3)+(1 3/5*2)+2.5= 7.95 ft
Pia: 0.75*9 = 6.75 ft
