The decay constant is i 0.1155, and there would be 16 mg left after 24 hours.
The relationship between the half-life, T₀.₅, and the decay constant, λ, is given by
T₀.₅ = 0.693/λ.
Solving for λ, we will multiply both sides by λ first:
(T₀.₅)(λ) = 0.693
Since we know the half life is 6 hours, this gives us:
6λ = 0.693
Dividing by 6, we have
λ = 0.693/6 = 0.1155.
The decay constant will be k in our decay formula, and N₀, the original amount of substance, is 250:
N(24) = 250e^(-0.1155*24) = 15.6 ≈ 16
Answer:
50.77
Step-by-step explanation:
just subtract
Q=quarters, d=dimes
q+d=8
.25q+.1d=1.25
Let's set the first equation to equal d.
d=8-q
.25q+.1(8-q)=1.25
Distribute.
.25q+.8-.1q=1.25
Combine Like Terms
.15q+.8=1.25
Subtract .8
.15q=.45
Divide by .15
q=3
Now, let's solve for d in the first equation.
d+3=8
Subtract 3, and you get d=5
So, there are 5 dimes and 3 quarters in Maribel's pocket.
Check: .25(3)+.1(5)=1.25
.75+.5=1.25
1.25=1.25 which is true.
Answer: 
Step-by-step explanation:
Let we consider sales of home in January as first term for sequence, then sales in February will be 2nd term and so on.
According to the given information, we have
First term : 
Second term :
Third term : 
We can see that, Common difference = 7
Explicit rule for Arithmetic sequence :
Put and d=7
The required explicit rule that can be used to find the number of homes sold in the nth month of the year :
