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Digiron [165]
2 years ago
12

Use the Distributive Property to find the missing factors. Enter your answers in the boxes. 6 × = (3 × 7) + ( × 7)

Mathematics
1 answer:
musickatia [10]2 years ago
5 0
The missing number is 3
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A drug used to relieve anxiety and nervousness has a half-life of 16 hours. if a doctor prescribes one 2.8-milligram every 24 ho
dlinn [17]

After 24 hours, 35.4% of the initial dosage remains on the body.

<h3>What percentage of the last dosage remains?</h3>

The exponential decay is written as:

f(x) = A*e^{-k*x}

Where A is the initial value, in this case 2.8mg.

k is the constant of decay, given by the logarithm of 2 over the half life, in this case, is:

k = ln(2)/16h

Replacing all that in the above formula, and evaluating in x = 24 hours we get:

f(24h) = 2.8mg*e^{-24h*ln(2)/16h} = 0.9899 mg

The percentage of the initial dosage that remains is:

P = \frac{0.9899mg}{2.8mg}*100\% = 35.4\%

If you want to learn more about exponential decays:

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8 0
2 years ago
decide if the following change is an increase or decrease. then determine the percent of change. senior citizen receive a 10% di
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The oldster got a discount, so the original price is higher; let's call it x;

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.9 x = 12.60

x = 12.60/0.9  = 14.00

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8 0
3 years ago
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