A time of 40.7 minutes is taken for 170 grams of element X to decay to 5 grams.
<h3>How to analyze a radioactive decay case</h3>
Let suppose that element X experiments a <em>simple radioactive</em> decay, that is, that the element X becomes gradually into another less radioactive stable element in time.
We know that decay behaves exponentially and follows this model:
(1)
Where:
- - Initial mass, in grams
- <em>t</em> - Time, in minutes
- <em>τ</em> - Time constant, in minutes
- <em>m(t)</em> - Current mass, in grams
The time constant can be described in terms of half-life (), in minutes, through the following expression:
(2)
If we know that , and , then the time needed for the decay is:
<em>τ ≈ 11.541 min</em>
<em>t ≈ 40.698 min</em>
A time of 40.7 minutes is taken for 170 grams of element X to decay to 5 grams.
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For 80 guests you will need 80/10 = 8 times more than for 10 guests:
8*9.50 = $76
Refreshment for 80 guests costs $76.
Answer:
Step-by-step explanation:
550 48 6-0 3/16 3/16 800
1000 48 10-10 3/16 3/16 1300
1100 48 11-11 3/16 3/16 1400
1500 48 15-8 3/16 3/16 1650
65 9-0 3/16 3/16 1500
2000 65 11-10 3/16 3/16 2050
2500 65 14-10 3/16 3/16 2275
3000 65 17-8 3/16 3/16 2940
4000 65 23-8 3/16 3/16 3600
5000 72 23-8 1/4 1/4 5800
84 17-8 1/4 1/4 5400
7500 84 26-6 1/4 1/4 7150
96 19-8 1/4 1/4 6400
10000 96 26-6 1/4 5/16 8540
120 17-0 1/4 5/16 8100
12000 96 31-6 1/4 5/16 10500
120 20-8 1/4 5/16 9500
15000 108 31-6 5/16 5/16 13300
120 25-6 5/16 5/16 12150
20000 120 34-6 5/16 5/16 15500
25000 120 42-6 3/8 3/8 22300
30000 120 51-3 3/8 3/8 28000
Answer:
The width is
Step-by-step explanation:
The area of a rectangle is given as :
This implies that:
We have that the length is and the area is
We substitute to get:
We cancel out the common factors to get:
F-1(3) will equal two because its the inverse of the first function