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Misha Larkins [42]

3 years ago

15

The half-life a particular radioactive substance is 6 seconds. If you started with 50 grams of this substance, how much of it wo

uld remain after 30 seconds?

1 answer:

AleksandrR [38]3 years ago

7 0

Answer:

1.5625g would remain after 30 seconds

Step-by-step explanation:

When we talk about half life, we are talking about the time taken for exactly half of the mass of the radioactive mass in question to have disintegrated.

More like, the amount of time it takes for the radioactive mass to have lost exactly half of its mass

Now, the half life of the substance in question is 6 seconds and we have to calculate the mass that would remain after 30 seconds. What this means is that we would have a disintegration of 5 times, meaning 5 half lives.

Since it is just 5 half lives, we can proceed manually

In the first, we shall have 25g left

in the second, we shall have 12.5g left

In the third, we shall have 6.25g left

In fourth, we shall have have 3.125g left

and finally, in the fifth, we shall have 1.5625g

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Answer:

1) $x=\dfrac12$

2) $n = -3 \ \ \textsf{and} \ \ m = -4$

3) see below

4) A: 0 = 1

Step-by-step explanation:

<u>Question 1</u>

$15-0.5(4x-2)+4x=17$

$\implies 15-2x+1+4x=17$

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<u>Question 2</u>

$\textsf{rearrange} \ n=m+1 :$

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$\textsf{add equations} \ -m=-n+1 \ \textsf{and} \ m=2n+2:\\$

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$\implies n=-3$

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<u>Question 3</u>

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<u>Question 4</u>

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$\textsf{rearrange} \ 3j=k :$

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