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.
Answer:
I believe that this is what you mean. (y^3+3y+7)*(8y^2+y+1)
Step-by-step explanation:
So your answer would be: 8y^5+y^4+25y^3+59y^2+10y+7
Have a nice day!
I really hope this helps!
<h2>
Explanation:</h2><h2 />
When we say "a is at most b" we mean that "a is less than or equal to b" or "a is not greater than b". So let's solve this problem as follows:
Step 1. Twice the difference of a number and 2
Let's call that unknown number as n. Then, twice the difference of a number and 2 is:
Step 2. Twice the difference of a number and 2 is at most -27
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So the mathematical form of the statement <em>twice the difference of a number and 2 is at most -27 </em>is:
Answer:
m<−8
Step-by-step explanation:
C, because everything inside the parenthesis is multiplied by -3.