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velikii [3]
3 years ago
8

The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass

. Starting with 220 grams of a radioactive isotope, how much will be left after 5 half-lives?
Mathematics
1 answer:
Setler [38]3 years ago
7 0

Answer:

\boxed{6.875 \text{\: grams}}

Step-by-step explanation:

Half-lives are how long it takes for half of a substance to decay. If you start with a certain amount and it decays for a certain amount of half-lives, you are dividing by 2^{x}, where <em>x</em>  is equal to the amount of half-lives.

In order to solve this question, simply divide the starting value by 2 raised to the value of half-lives.

\large\boxed{\frac{220}{2^{5}}=6.875\text{\: grams}}

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Sindrei [870]
The answer is 10,167
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3 years ago
I NEED THE ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!<br><br><br><br><br> 1/7-3(3/7x-2/7)
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Step-by-step explanation:

x in (-oo:+oo)

1/7-(3*((3/7)*x-(2/7))) = 0

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(-3*7*(3/7*x-2/7))/7+1/7 = 0

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6 0
3 years ago
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irina [24]

Answer:

10.8 cm

Step-by-step explanation:

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5 0
3 years ago
Max has 5.50. He has eight more quarters than he does nickels. He had four times as many dimes as he has nickels. How many quart
Oliga [24]

Answer:

<h2>There are 13 quarters, 5 nickels and 20 dimes.</h2>

Step-by-step explanation:

Givens

  • Max has $5.50.
  • He has eight more quarters than he does nickels.
  • He had four times as many dimes as he has nickels.

From these statements, we can deduce algebraical expressions to solve the problem. Let's call q quarters, n nickels and d dimes.

q=n+8 (8 more quarters than nickels)

d=4n (he has four times as many dimes as he has nickels).

0.25q+0.05n+0.10d=5.50 (Max has a total of $5.50, one quartes is $0.25, one nickel is $0.05 and one dime is $0.10).

Let's replace the first two expressions into the third equation

0.25(n+8)+0.05n+0.10(4n)=5.50\\0.25n+2+0.05n+0.40n=5.50\\0.70n=5.50-2\\n=\frac{3.50}{0.70}\\ n=5

There are 5 nickels.

Now, we use this value to find the number of quarters

q=5+8=13

There are 13 quarters.

Also, d=4(5)=20

There are 20 dimes.

Therefore, there are 13 quarters, 5 nickels and 20 dimes.

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Answer:

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Step-by-step explanation:

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