The rate of change of a given function is given by f'(x)=dy/dx
given that the function is:
f(x)=12+2^(-2x)
f'(x)=2*(-2)e^(-2x)
f'(x)=-4e^(-2x)
the relative rate of change will be the ratio of the derivative to the original function:
f'(x)/f(x)
=(12+2^(-2x))/(-4e^(-2x))
4b+24=7b-8
32=3b
b=32/3
hope this helps!
Answer:
where 
denote arc lengths of two circles
Step-by-step explanation:
Let denote arc lengths of two circles, 
denote corresponding radii and
denote the corresponding central angles.
So,
and 
This implies 
and 
As each circle has an arc where the measures of the corresponding central angles are the same, 
As radius of one circle is twice the radius of the other circle,
Answer: Yes it is reasonable.
Step-by-step explanation:
If all the numbers are rounded, 79 will be rounded to 80
12 to 10
and 11 to 10
If there are about 80 kids in 3rd grade, and about 20 kids in Mrs. Henry's class (because 10 girls plus 10 boys)
That means that 80-20
about 60 kids are not in Mrs. Henry's class
Hope this helped!
The answer is 1A definitely
