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Juli2301 [7.4K]
3 years ago
7

The doctor's office where you work needs to store eight filing cabinets with patient information in one of three secure storage

rooms. The filing cabinets need a total of 55 square feet of space. The doctor has asked you to identify in which room the filing cabinets will fit. There are 3 offices and each office is as follows square A is 8 x 5 square B 9 x 7.5 square C 5 x 10
Mathematics
1 answer:
ikadub [295]3 years ago
8 0

Answer:

9 x 7.5

Step-by-step explanation:

Just 9 x 7 = 63 > 55

8 x 5 = 40 < 55

5 x 10 = 50 < 55

Please mark brainliest

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Answer:

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Between 600 and 700 years (B)

Step-by-step explanation:

At a constant decay rate, the half-life of a radioactive substance is the time taken for the substance to decay to half of its original mass. The formula for radioactive exponential decay is given by:

A(t) = A_0 e^{(kt)}\\where:\\A(t) = Amount\ left\ at\ time\ (t) = 75\ grams\\A_0 = initial\ amount = 1000\ grams\\k = decay\ constant\\t = time\ of\ decay = 2500\ years

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75 = 1000 e^{(k2500)}\\dividing\ both\ sides\ by\ 1000\\0.075 = e^{(2500k)}\\taking\ natural\ logarithm\ of\ both\ sides\\In 0.075 = In (e^{2500k})\\In 0.075 = 2500k\\k = \frac{In0.075}{2500}\\ k = \frac{-2.5903}{2500} \\k = - 0.001036

Next, let us calculate the half-life as follows:

\frac{1}{2} A_0 = A_0 e^{(-0.001036t)}\\Dividing\ both\ sides\ by\ A_0\\ \frac{1}{2} = e^{-0.001036t}\\taking\ natural\ logarithm\ of\ both\ sides\\In(0.5) = In (e^{-0.001036t})\\-0.6931 = -0.001036t\\t = \frac{-0.6931}{-0.001036} \\t = 669.02 years\\\therefore t\frac{1}{2}  \approx 669\ years

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