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likoan [24]
3 years ago
8

If an atom had a nucleus one foot in diameter, what would be the diameter of the atom in miles?

Mathematics
1 answer:
LiRa [457]3 years ago
8 0
If we take hydrogen as an example, the size of hydrogen is about 25000 times larger than that of its proton. 1 Mile is roughly <span>5280 ft, which means that the size of the entire hydrogen atom would be </span>4.73 miles in diameter.
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Element X is a radioactive isotope such that its mass decreases by 59% every day. If an experiment starts out with 390 grams of
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Answer:

The function that represents the mass of the sample after t days is A(t) = 390(0.41)^t.

The percentage rate of change per hour is of -2.46%.

Step-by-step explanation:

Exponential amount of decay:

The exponential amount of decay for an amount of a substance after t days is given by:

A(t) = A(0)(1-r)^t

In which A(0) is the initial amount, and r is the decay rate, as a decimal.

Element X is a radioactive isotope such that its mass decreases by 59% every day. The experiments starts out with 390 grams of Element X.

This means, respectively, that r = 0.59, A(0) = 390

So

A(t) = A(0)(1-r)^t

A(t) = 390(1-0.59)^t

A(t) = 390(0.41)^t

The function that represents the mass of the sample after t days is A(t) = 390(0.41)^t.

Hourly rate of change:

Decreases by 59% every day, which means that for 24 hours, the rate of change is of -59%. So

-59%/24 = -2.46%

The percentage rate of change per hour is of -2.46%.

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Step-by-step explanation:

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