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baherus [9]
4 years ago
6

The larger of to numbers is 12 more than the smaller. Their sum is 84. What are the two numbers?

Mathematics
1 answer:
Nataly_w [17]4 years ago
3 0
36 and 48

a = b+12
a+b = 84

(b+12) + b =84
2b +12 = 84
2b = 72
b= 36

a = b + 12
a = 36 + 12
a = 48
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3 years ago
A 48 gram sample of a substance that’s used for drug research has a k value of 0.1325
Lyrx [107]

Using an exponential function, it is found that the half-life of the substance is of 5.23 units of time.

<h3>What is the exponential function for the amount of a substance?</h3>

The function is given by:

A(t) = A(0)e^{-kt}

In which:

  • A(0) is the initial value.
  • k is the exponential decay rate.

The parameters are given by:

A(0) = 48,  k = 0.1325.

Hence the equation is:

A(t) = 48e^{-0.1325t}

The half-life is the amount of time for which A(t) = 0.5A(0) = 24, hence:

A(t) = 48e^{-0.1325t}

24 = 48e^{-0.1325t}

e^{-0.1325t} = 0.5

\ln{e^{-0.1325t}} = \ln{0.5}

0.1325t = -\ln{0.5}

t = -\frac{\ln{0.5}}{0.1325}

t = 5.23.

More can be learned about exponential functions at brainly.com/question/25537936

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3 0
2 years ago
Keiko bought 13 pounds of sugar for $6. How many dollars did she pay per pound of sugar?
stich3 [128]

Step-by-step explanation:

13 pounds of sugar for $6.

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1 pound cost then 6/13 = 0.461538462... ≈ $0.46

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2 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

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cause 16+20+13=49

4 0
4 years ago
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