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Pachacha [2.7K]
1 year ago
11

1.Arsenic-74 is used to locate brain tumors. It has a half-life of 17.5 days. 90 mg wereused in a procedure. Write an equation t

hat can be used to determine how much ofthe isotope is left after x number of half-lives.2. how much would be left after 70 days ?
Mathematics
1 answer:
Sophie [7]1 year ago
4 0

1)\text{   }N_t\text{ = 90\lparen}\frac{1}{2})^{\frac{t}{17.5}}

2) 5.625 mg will be left

Explanation:

1) Half-life = 17.5 days

initial amount of Arsenic-74 = 90 mg

To get the equation, we will use the equation of half-life:

\begin{gathered} N_t\text{ = N}_0(\frac{1}{2})^{\frac{t}{t_{\frac{1}{2}}}} \\ where\text{ N}_t\text{ = amount remaining} \\ N_0\text{ = initial amount} \\ t_{\frac{1}{2}\text{ }}\text{ = half-life} \end{gathered}N_t\text{ = 90\lparen}\frac{1}{2})^{\frac{t}{17.5}}

2) we need to find the remaining amount of Arsenic-74 after 70 days

t = 70

\begin{gathered} N_t=\text{ 90\lparen}\frac{1}{2})^{\frac{70}{17.5}} \\ N_t\text{ = 5.625 mg} \end{gathered}

So after 70 days, 5.625 mg will be left

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An ice-cream store sold 70 sundaes. The ratio of
elixir [45]

Answer:

30 strawberry sundaes.

Step-by-step explanation:

We know there is a total of 70 sundaes.

3 sundaes will be strawberry.

4 sundaes will be choclate.

When you add 3 and 4 together, you get 7. This is your total ratio.

So 3/7 of the sundaes are strawberry.

And 4/7 of sundaes are choclate.

We know there is a total of 70 sundaes.

The total ratio we figured out is 7.

If the total sundaes is 70, and the total ration is 7. Then the total sundaes is 10 times bigger than the ratio.

This means we need to multiply the 3 strawberry sundaes and 4 choclate sundaes by 10.

3*10=30

4*10=40

So there are 30 strawberry sundaes and 40 choclate sundaes.

We need to find the strawberry sundae amount, so the answer is 30.

Hope this helps!

3 0
2 years ago
If a price decreases by 20% I can calculate 20% of the price and subtract it from the original price or I can calculate it in on
Irina-Kira [14]

Answer:

both statements are fine

Step-by-step explanation:

To find the price of a product after decreasing it, they can be done in the two ways that the statement tells us,

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For example:

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in the first case it would be:

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in the second case it is:

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that is, the new price would be 0.8 * x

6 0
2 years ago
D
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That is true because the square root of 32 is about 5.66, so 4.65 IS less than it.
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3 years ago
Please someone help me!!
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Answer:

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Step-by-step explanation:

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3 years ago
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