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lbvjy [14]
3 years ago
15

Brainliest! Correct answer! Need to pass...

Mathematics
1 answer:
iren2701 [21]3 years ago
6 0

Answer:

it is the 3rd one

Step-by-step explanation:

I think it is

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The amount y ( in grams) of a radioactive isotope phosphorus-32 remaining after t days is y=a(0.5)^t/14, where a is the initial
Neko [114]

Answer:

Step-by-step explanation:

The way I figured this out is to just pick some starting values for the grams of this element and plug them into the formula using t = 1 day and seeing how much is left.  I chose 2 different starting amounts and came up with the same percentage each time, so it must be correct!  Here's what I did:

First I chose a starting amount, a, of 10 grams.  Plugging into the formula:

y=10(.5)^{\frac{1}{14} }

and got that the amount LEFT was 9.5 grams

Then I chose a starting amount, a, of 20 grams.  Plugging into the formula:

y=20(.5)^{\frac{1}{14}}

and got that the amount LEFT was 19 grams.

I then asked the algebraic question,"What percent of 10 is 9.5?" which translates to

x% * 10 = 9.5 and

x = 95%  (that's the amount left as a percentage).

and

x% * 20 = 19 and

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Since both of those came out the same, that tells me that after 1 day there is still 95% of the element remaining, so 5% decays each day.

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8i and -8i

Step-by-step explanation:

Move everything into the left-hand side to get a quadratic equation:

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Solve for x using the quadratic formula:

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The two imaginary solutions for the equation are 8i and -8i.

3 0
3 years ago
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