Answer:
If you have a quantity X of a substance, with a decay constant r, then the equation that tells you the amount of substance that you have, at a time t, is:
C(t) = X*e^(-r*t)
Now, we know that:
We have 2000g of substance A, and it has a decay constant of 0.03 (i assume that is in 1/year because the question asks in years)
And we have 3000 grams of substance B, with a decay constant of 0.05.
Then the equations for both of them will be:
Ca = 2000g*e^(-0.03*t)
Cb = 3000g*e^(-0.05*t)
Where t is in years.
We want to find the value of t such that Ca = Cb.
So we need to solve:
2000g*e^(-0.03*t) = 3000g*e^(-0.05*t)
e^(-0.03*t) = (3/2)e^(-0.05*t)
e^(-0.03*t)/e^(-0.05*t) = 3/2
e^(t*(0.05 - 0.03)) = 3/2
e^(t*0.02) = 3/2
Now we can apply Ln(x) to both sides, and get:
Ln(e^(t*0.02)) = Ln(3/2)
t*0.02 = Ln(3/2)
t = Ln(3/2)/0.02 = 20.3
Then after 20.3 years, both substances will have the same mass.
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➷ Improper fractions are sometimes called 'top heavy fractions'
You'll see why below
Multiply 6 by 4:
6 x 4 = 24
Add 3 :
24 + 3 = 27
The improper fraction would be 27/4
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Answer:
a) We conclude that the menager use the hypergeometric distribution.
b) We conclude that the menager use the binomial distribution.
Step-by-step explanation:
a) We know that in probability theory, the hypergeometric distribution is a discrete probability distribution that describes the probability of k successes in n draws, without replacement.
We conclude that the menager use the hypergeometric distribution.
b) We know that the binomial distribution describes the probability of k successes in n draws with replacement.
We conclude that the menager use the binomial distribution.
Answer:
If they are not parallel they will cross.
The angle types that are still congruent are the angles that are the same size.
Step-by-step explanation:
Parallel lines never cross but non parallel lines cross.
<h2><u><em>
Could I please have BRAINLIEST?</em></u></h2>
Answer:
Step-by-step explanation:
You need to use the quadratic equation
x = 
Givens
x = 
x =( 5 +/- sqrt(25 - 12) ) / 2
x = (5 +/- sqrt(13) )/2
x = (5 + sqrt(13) / 2
x = 4.303 rounded
x = (5 - sqrt(13) ) /2
x = .6972
