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ladessa [460]
3 years ago
10

Is 2y-4=10 a function

Mathematics
2 answers:
Oksana_A [137]3 years ago
3 0
Yup yup yup. i think so
dedylja [7]3 years ago
3 0

Answer:

No, 2y-4=10 is not a function.

Step-by-step explanation:

To find : Is 2y-4=10 a function ?

Solution :

A function is defined as a relation between sets that associates to every element of a first set exactly one element of the second set.

or relation between input and output.

i.e. f(x)=2x

Where, x is the input and 2x is the output.

We have given, 2y-4=10 is not a function because it is not a representation of function.

The given expression is an equation as there is only one variable defined as a constant.

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Step-by-step explanation:

Given;

half-life of the given Dubnium = 34 s

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final mass of the element, mf = 1 g

The time taken for the radioactive element to decay to its final mass is calculated as follows;

1 = 500 (0.5)^{\frac{t}{34}} \\\\\frac{1}{500} =  (0.5)^{\frac{t}{34}}\\\\log(\frac{1}{500}) = log [(0.5)^{\frac{t}{34}}]\\\\log(\frac{1}{500})  = \frac{t}{34} log(0.5)\\\\-2.699 = \frac{t}{34} (-0.301)\\\\t = \frac{2.699 \times 34}{0.301} \\\\t = 304.8 \ s

Therefore, the time taken for the radioactive element to decay to 1 g is 304.8 s.

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Step-by-step explanation:

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