The mass of substance left after 7 days is 13.09 g
The mass of substance left, N is given by
N = N₀exp(-λt) where λ = decay constant and N₀ = initial mass of substance present = 24 g and t = time
Also, λ = 0.693/t' where t' = half-life of iodine = 8 days
So, λ = 0.693/t'
λ = 0.693/8
λ = 0.086625/day
Since the mass of substance left is N = N₀exp(-λt) and we require the mass of substance after t = 7 days,
N = N₀exp(-λt)
N = 24 gexp(-0.086625/day × 7 days)
N = 24 gexp(-0.606375)
N = 24 g × 0.5453
N = 13.09 g
So, the mass of substance left after 7 days is 13.09 g
Learn more about radioactive decay here:
brainly.com/question/23705307
Rounded to the nearest tenth would remain is 8.2 units is the answer. Just took the test.
9514 1404 393
Answer:
- 0.5
- 0.4444444... repeating
Step-by-step explanation:
Your calculator can do this for you.
1. 2/4 = 1/2 = 5/10 = 0.5
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2. The long division immediately becomes repetitive. The decimal equivalent is repeating 4s: 0.444...
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The long division is shown in the attachments. When the remainder is the same as the initial dividend, you know the quotient will repeat.
Answer:
12/7
Step-by-step explanation:
1 x 7= 7, then add 5 because of the denominator. 12/7
The work is easy. Most of the effort is in the reasoning.
Here's how I reasoned:
-- If the diameter of the sphere is bigger than the diameter of
the cylinder, then you'd have to mash the sphere somehow
in order to get it in there, and it wouldn't be a sphere anymore.
-- If the diameter of the sphere is bigger than the height of the
cylinder, then it would stick out of the ends, and it would not
"fit inside it".
-- So the diameter of the sphere can't be bigger than either
the diameter or the height of the cylinder.
-- The cylinder's diameter is 15" and its height is 12".
So the largest sphere that can completely fit inside it
is a sphere whose diameter is 12".
The volume of a sphere is (4/3) (pi) (radius³)
and the radius is (1/2 of the diameter) = 6 inches.
So the volume is (4/3) (pi) (6 inches)³ .
You can take it from here.
Use 3.14 for (pi) .
I got about 904 inches³.
But the answer is not important.
