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romanna [79]
3 years ago
14

1.6 liters of drink were equally distributed into 20 cups how many liters of drink would be in each cup

Mathematics
1 answer:
zimovet [89]3 years ago
6 0

Answer:

0.08

Step-by-step explanation:

1.6 liters of the drink was distributed in 20 cups

The litres of drink in each cup can be calculated as follows

= 1.6/20

= 0.08

Hence 0.08 liters of drink would be in each cup

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Step-by-step explanation:

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N(t) is the amount after the time t, N_0 `is the initial amount, t_{h} is the half-life

We know that after half-life there will be twice less the initial quantity:

N(t_{h})=\frac{N_{0} }{2}=N_{0}e^{kt_{h} }.

Simplifying gives \frac{1}{2} =e^{-kt_h} or k = -\frac{In(\frac{1}{2}) }{t_{h} }  .

Plugging this into the initial equation, we obtain that N(t)=N_{0}e^\frac{In(\frac{1}{2}) }{t_{h} }or N(t)= N_{0} (\frac{1}{2})^\frac{t}{t_h}.

Finally, just plug in the given values and find the unknown one.

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So you should get: t_{h} =\frac{25 In (2)}{2 In (32)\\}=2.5.

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