Answer:
The amount of the supplement in Niklas' body immediately after the 12th dose is 4.30 micrograms.
Step-by-step explanation:
Half life is the time required for an element to decay into half of its initial size. The supplement has a half life of 4 hours means that it decay to half of its size every 4 hours. Therefore there are 6 stages of division in a day.
i.e 
× × × × × = 
The amount of the supplement in Niklas' body after the first dose (first day) can be determined by;
= × 25
= 0.390625 micrograms
He used the supplement daily for 12 days (12th dose), but the amount of the supplement in his body immediately after the 12th dose would be;
amount in his body per day × number of period for complete decay
= 0.390625 × 11
= 4.296875
The amount of the supplement in Niklas' body immediately after the 12th dose is 4.30 micrograms. This is because immediately after the 12th dose, the supplement has not reach its half life.
The distance between -2 1/2 - (-3)
-2 1/2 + 3
1/2
______________________
Answer
1/2
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
Let w be the width
Then the length is 2w - 2
We also know that the perimeter is 62 cm. The perimeter is the distance around the rectangle, or 2w + 2(2w - 2).
So, 2w + 2(2w - 2) = 62
2w + 4w - 4 = 62
6w = 66
w = 11
So, the length is 2w - 2 = 2(11) - 2 = 22 - 2 = 20
Length = 20 cm
Width = 11 cm
Answer:
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Step-by-step explanation:
