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kupik [55]
3 years ago
13

Question 3

Mathematics
1 answer:
tino4ka555 [31]3 years ago
8 0

Answer:

it is 8.39. hope this helps.

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The half-life of the isotope Osmium-183 is 12 hours. Choose the equation below that gives the remaining mass of Osmium-183 in gr
raketka [301]

The given equations are incomprehensible, I'm afraid...

You're given that osmium-183 has a half-life of 12 hours, so for some initial mass <em>M</em>₀, the mass after 12 hours is half that:

1/2 <em>M</em>₀ = <em>M</em>₀ exp(12<em>k</em>)

for some decay constant <em>k</em>. Solve for this <em>k</em> :

1/2 = exp(12<em>k</em>)

ln(1/2) = 12<em>k</em>

<em>k</em> = 1/12 ln(1/2) = - ln(2)/12

Now for some starting mass <em>M</em>₀, the mass <em>M</em> remaining after time <em>t</em> is given by

<em>M</em> = <em>M</em>₀ exp(<em>kt </em>)

So if <em>M</em>₀ = 590 g and <em>t</em> = 36 h, plugging these into the equation with the previously determined value of <em>k</em> gives

<em>M</em> = 590 exp(36<em>k</em>) = 73.75

so 73.75 ≈ 74 g of Os-183 are left.

Alternatively, notice that the given time period of 36 hours is simply 3 times the half-life of 12 hours, so 1/2³ = 1/8 of the starting amount of Os-183 is left:

590/8 = 73.75 ≈ 74

6 0
3 years ago
How do I write an algebraic expression for the amount of money (in dollars) in N nickels minus 7 dollars?
Dominik [7]
Nickels are only worth $0.05 so:

m=0.05n-7
8 0
3 years ago
Read 2 more answers
total of 78 baseball and football cards in a box. ratio of baseball to football cards is 8 to 5. how many baseball cards are in
Katen [24]
The best way to work this to add the two numbers of the ratio together (8+5), giving you 13. You should then divide the total number of cards (78), by this, giving you 6. This means that each part of the ratio is worth 6. The first ratio is 8, meaning that you will have 6x8 baseball cards. There will be 48 baseball cards. The second ratio is 5, meaning that you will have 6x5 football cards. There will be 30 football cards.
In the box, there are 48 baseball cards
4 0
3 years ago
Helppppppppppppppppppppppppppppppppp
seraphim [82]

Answer:

b. (1, 13).

Step-by-step explanation:

Here's a pic of my work. You can put either equation on the other side of the equal sign, because they both equal Y. therefore, they equal each other.

5 0
3 years ago
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Given: 4x - 7 = 2x + 9 Prove: x = 9 What is the missing reason? 1. 4x - 7 = 2x + 9 ------------- 1. Given 2. 2x - 7 = 9 --------
sdas [7]
Lol have fun on thos
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3 years ago
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