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))
Answer:
31 (i.e 3 tens and 1 unit)
Step-by-step explanation:
217 can be split up as,
2 hundreds, 1 tens, and 7 units.
186 can be split up as,
1 hundred, 8 tens and 6 units
If we solve straight we'll have
(2-1)hundreds + (1-8)tens + (7-6)units.
(1-8)tens will give a negative value, complicating the operation.
To make our operation easier we can use the fact that 1 hundred is equal to 10 ten to further split the 217, and it becomes
1 hundred, 11 tens and 7 units.
The operation becomes
(1-1)hundreds + (11 - 8)tens + (7-6)units
= 0 hundred + 3tens + 1 unit
= 3 tens + 1unit
= (3 x 10) + 1 = 31
Answer:
1 - a/variable
2 - d/statistic
3 - b/population
4 - c/data
5 - e/parameter
6 - f/sample
I did comment asking if the two you'd already selected were definitely correct, but no answer was given, so I apologise if this is wrong. This is what I would put.
30/150 = 80/x
Reduce the fraction:
1/5 = 80/x
Cross multiply:
x = 5 x 80
x= 400
Answer: 400 zebras.
