The mass of cesium left afer 120 years if the original mass of cesium is 8640 with an half-life of 30 years, is 540 grams.
<h3>What is half-life?</h3>
This can be defined as the time taken for half the amount of a radioactive substance to decay.
To calculate the amount of cesium left after 120 years, we use the formua below.
Formula:
- R' = R/(
)............. Equation 1
Where:
- R = Original amount of Cesium
- R' = New amount of cesium
- T = Total time
- t = Half-life
From the question,
Given:
- R = 8640
- T = 120 years
- t = 30 years
Substitute these values into equation 1
- R' = 8640/(
) - R' = 8640/
- R' = 8640/16
- R' = 540 grams.
Hence, The mass of cesium left afer 120 years is 540 grams.
Learn more about half-life here: brainly.com/question/25750315
Answer:
32 ÷ 8 + 1 __IS NOT EQUAL TO__ 3² - 1
4² __IS NOT EQUAL TO__ 4 • 2
3(x - 4 + x) __IS EQUAL__ 3x - 4 + x
when x = 4
15 ÷ (1 + 2) ___IS NOT EQUAL TO_ 15 ÷ 1 + 2
3(x - 4 + x) __IS NOT EQUAL TO__ 3x - 4 + x
when x = 2
Answer:
Triangle
Step-by-step explanation:
all of them have parallel sides except triangle
Every possible combination of the letters SURE are going to be listed in alphabetical order. The permutation we want is RUSE which begins with the letter R and will come after every permutation that begins with E since it is the next alphabetically. We can first determine how many permutations begin with E.
Since we start with E, there are only three letters left to form the rest of the permutation. So 3! = 3*2*1 = 6 states that there are 6 permutations that can be made from the remaining three letters. So there will be 6 permutations that begin with E.
Using this same logic, we now know that there are 6 permutations that begin with the letter R. The letters USE are in reverse alphabetical order, which means that the word RUSE will appear as the last permutation that begins with R.
We know there are 6 permutations that begin with E, followed by 6 permutations that begin with R, making 12 total at this point. And since RUSE appears as the last permutation beginning we R, we know that RUSE shows up 12th.
Find the multiples of each number
6: 2, 3
8: 2,2,2
-----------------------------
So the LCM would be 2,2,2, and 3
2x2x2x3=24
Hope that helps!
