3 years ago

What is 26/48 simplest form

Mathematics

1 answer:

Phoenix [80]3 years ago

5 0

Answer:

13/14

Step-by-step explanation:

The GCF between 26 and 48 is 2. So divide 26/2=12 and 48/2=13 13/14. And after that you can not simplify anymore so 13/14 is 26/48 in it's simplest form.

Hope it helps!

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The half life of silicone-32 is 710 years. If 30 grams is present now, how much will be present in 300 years?

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Answer:

22.38 g of silicone-32 will be present in 300 years.

Step-by-step explanation:

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay and its given by

$N(t)=N_0(\frac{1}{2})^{\frac{t}{t_{1/2}}$

where,

$N(t)$ = quantity of the substance remaining

$N_0$ = initial quantity of the substance

$t$ = time elapsed

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From the information given we know:

The initial quantity of silicone-32 is 30 g.
The time elapsed is 300 years.
The half life of silicone-32 is 710 years.

So, to find the quantity of silicone-32 remaining we apply the above equation

$N(t)=30\left(\frac{1}{2}\right)^{\frac{300}{710}}=30\left(\frac{1}{2}\right)^{\frac{30}{71}}\approx22.38 \:g$

22.38 g of silicone-32 will be present in 300 years.

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