Answer:
193 mg
Step-by-step explanation:
Exponential decay formula:
- where Aₜ = mass at time t, A₀ = mass at time 0, r = decay constant (rate), t = time
Our known variables are:
- 1998 to the year 2004 is a total of t = 6 years.
- The sample of radioactive isotope has an initial mass of A₀ = 360 mg at time 0 and a mass of Aₜ = 270 mg at time t.
Let's solve for the decay constant of this sample.
Using our new variables, we can now solve for Aₜ at t = 7 years, since we go from 2004 to 2011.
Our new initial mass is A₀ = 270 mg. We solved for the decay constant, r = 0.04794701.
The expected mass of the sample in the year 2011 would be 193 mg.
The first step, would be to make the percent a fraction. 15%=15/100.
So, if they played 60 games, and you want to find how many they lost, you would write x/60, when x=games lost.
15 x
___=___
100 60
Simplify the fraction on the left. Divide the numerator (top) and the denominator (bottom) by 5, leaving you with 3/20.
3/20=x/60
Make the denominators (bottom) similar
9/60=x/60
x=9
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Step-by-step explanation:
a=60°{vertically opposite angles}
b=180°-(52+110)°=18°
c=180°-(60+18)°=102°
d=180°-102°=78°
e=180°-(78+51)°=51°
Answer:
The least possible number of people in the family is 8.
Step-by-step explanation:
To determine the minimum number of people that make up the family, knowing that 0.83 of the children are boys, the following logical reasoning must be carried out:
Given that 0.83 is the result of 5/6, it can be said that 5 of the 6 children of the couple are boys. These 6 children must be added to the 2 fathers of the family, with which the total number of family members is 8.
Well -12 * i is equal to -12 √-1
