Answer: It might be a no answer. I don't know which one. I'm so sorry if I'm wrong.
Answer: 0.87400mg of caffeine.
Step-by-step explanation:
You have
N(t)=N0(e^−rt)(1)
as a general Exponential decay equation where N0 is the amount at t=0, N(t) is the amount remaining at time t and r is the exponential decay constant. You're specifically given that after 10 hours, the decay factor is 0.2601, i.e.,
N(10)/N(0)=N0(e^−10r)/N0(e^0)= e^−10r=0.2601 . .(2)
Taking the last 2 parts of (2) to the power of 0.1t gives
e^−rt=0.2601^.1t . .(3)
This means that
N(t)=N0(e^−rt)=N0(0.2601^.1t). .(4)
Also,
N(2.56)N(1.56)=N0(0.2601.1(2.56))N0(0.2601.1(1.56))=0.2601.1(2.56−1.56)=0.2601^.1
= 0.87400mg of caffeine.
No because to get a proportional relationship you have to add the same number to all x to get y
Answer:

Step-by-step explanation:
you use the distributive property to multiply these together
so its x times 5x plus x times -2 plus 1 times 5x plus 1 times -2
Answer: jackson is 12
explanation:
let the age be represented by x
jackson is 2 times older than shelly so
2x is jackson’s age and x is shelly’s age
since the sum of their ages is 18 then:
2x + x = 18
solve:
3x = 18 ➔ divide by 3 on both sides
x = 6
so now we know shelly is 6
jackson is 2 times older than her so:
2(6) = 12