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:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
we have the point (-30,18)
so
x=-30, y=18
Find the value of k
substitute
Simplify
Divide by 6 both numerator and denominator
(-19,55) x is equal to -19 and y is equal to 55
<span> three-dimensional figure has length, width, and height. A face is a flat </span>side<span>. A vertex is .... Describe the faces edges and vertices of </span>each<span> three dimensional ... Vera's closet is </span>in the shape of<span> a </span>rectangular prism<span>. ... You </span>can<span> draw different views of three-dimensional figures. .... How </span>many square<span> millimeters of</span>wrapping paper<span>.</span>he amount of wrapping paper needed<span> to </span>cover<span> the figure represents its surface area. To find the surface area, you calculate the area of </span>each<span> face or </span>side<span> ... where SA = surface area, </span>l<span> = length, </span>w<span> = width, and </span>h<span> = height. ... the surface area of this </span>prism<span> is 158 </span>square inches<span>.
</span>
The answer to this is question is gonna be True!
