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1 year ago

Situation:

Mathematics

1 answer:

omeli [17]1 year ago

4 0

The half life of the substance is 6.92 days.

Half life can be defined as the time required to reduce the concentration to half of its initial value.

Here the equation given is

$\rm N = N_o e^{-kt}$

The concentration will reduce to half therefore

$\rm N= \dfrac{N_o}{2}$

so,

$\rm 39/2 = 39 e^{- 0.1001 * t_{1/2}}$

ln 0.5 = - 0.1001 * t(1/2)

-0.693 = -.1001 * t(1/2)

t(1/2) = 6.92 days.

Therefore the half life of the substance is 6.92 days.

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28. The ratio of games they won to total games played = 12: 14 = 6: 7.

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Step-by-step explanation:

Step 1; Heather's team won 12 games out of 14. To find the ratio of games won to the total number of games we divide the number of games won to the number of games played.

The ratio of games won to games played = 12: 14, dividing both sides by 2 we simplify the ratio. So the simplified ratio is 6: 7.

Step 2; Max earns $380 for working 40 hours. So to find how much he earns an hour we divide the total money earned in n hours divided by n number of hours.

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