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grigory [225]
3 years ago
11

I have 30 ones 2 thousamds,4 hundred thousands 60 tens, and 100 hundreds

Mathematics
1 answer:
kaheart [24]3 years ago
3 0

Answer:

52630

Step-by-step explanation:

Simplify all the words into numbers.

30 + 2000 + 40000 + 600 + 10000

Add.

52630

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Water is leaking out of an inverted conical tank at a rate of 6800 cubic centimeters per min at the same time that water is bein
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Answer:

1508527.582 cm³/min

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Now, by similar triangles, h/r = h'/r'

r' = h'r/h = 3.5 m × 1.5 m/12 m = 5.25 m²/12 m = 2.625 m = 262.5 cm

Since the rate at which the water level is rising is dh/dt = 21 cm/min, and the radius at that point is r' = 262.5 cm.

The net rate of increase of water is dV/dt = (πr'²dh/dt)/3

dV/dt = (π(262.5 cm)² × 21 cm/min)/3

dV/dt = (π(68906.25 cm²) × 21 cm/min)/3

dV/dt = 1447031.25π/3 cm³

dV/dt = 4545982.745/3 cm³

dV/dt = 1515327.582 cm³/min

Since dV/dt = k - 6800 cm³/min

k = dV/dt - 6800 cm³/min

k = 1515327.582 cm³/min - 6800 cm³/min

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So, the rate at which water is pumped in is 1508527.582 cm³/min

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