Answer:
Your answer is y.
Step-by-step explanation:
4y+2y-5y given
=6y-5y add
=y subtract
Laying linoleum tile on a rectangular floor.
We are given with the following given
dV/dt = 35 m3/min
h = (3/2)D
What is asked is
dr/dt at t = 7 min
The volume of a cone is
V = (1/3)πr²h
From the given
h = (3/2)D
since D = 2r
h = 3r
Subsituting
V = πr³
At t = 7 min, the volume is
V = 35(7)
V = 245
and the radius is
245 = πr³
r = 4.27
Differentiating the volume
dV/dt = 3πr² dr/dt
From the given
dV/dt = 35
Subsituting
35 = 3πr² dr/dt
So,
dr/dt = 0.20 m/s
and
dh/dt = 0.60 m/s
Answer:
1534 pudding cups
Step-by-step explanation:
The volume of the tub with dimensions 5 ft × 5 ft × 2.5 inches is ...
(5×12 in)×(5×12 in)×(2.5 in) = 9000 in³
The volume of 3.25 fluid ounces is (231/128)×3.25 in³, so the number of pudding cups required to fill the "hot tub" is ...
(9000 in³)/(231/128×3.25 in³) ≈ 1534.47 . . . pudding cups
_____
If the tub is 2.5 ft deep, not 2.5 inches, then the number of pudding cups required is 12 times this amount, or ...
12×1534.47 ≈ 18,413.59 ≈ 18,414 . . . pudding cups
This is because the tub volume is not 9000 in³, but is 12 times that amount, or 108,000 in³.