Answer:
3/8
Step-by-step explanation:
it is greater than 2/8
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:
,
Step-by-step explanation:
The function of the graph can be written in the vertex form as
, where V(h,k)=V(2,4) is the vertex of the quadratic function.
We substitute the value to obtain;
,
The point (5,1) lies on the graph so we use it to determine the value of a.
,
,
,
The required equation is
,
Answer:
0.002M
Step-by-step explanation:
2.7= -log(H^+)
-2.7=log(H^+)
10^-2.7 M=H^+
0.0002M=H^+
The correct works are:
.
<h3>Function Notation</h3>
The function is given as:
The interpretation when Steven is asked to calculate Blue(s + h) is that:
Steven is asked to find the output of the function Blue, when the input is s + h
So, we have:
Evaluate the exponent
Expand the bracket
So, the correct work is:
<h3>Simplifying Difference Quotient</h3>
In (a), we have:
The difference quotient is represented as:
So, we have:
Evaluate the like terms
Evaluate the quotient
Hence, the correct work is:
Read more about function notations at:
brainly.com/question/13136492
