Answer:
f(x) = 4(2/3)ˣ represents exponential decay.
Hence, option D is the correct function.
Step-by-step explanation:
The function of the form
where and
is called the exponential decay function.
If we replace base 'b' by 1 - r, then we get the decay function of the form
y = abˣ
where 0 < b < 1
- <em>Please note that an exponential function cannot have a base of 0, 1, or a negative value.</em>
Now, if we carefully observe, the function f(x) = 4(2/3)ˣ is the only option correct as
f(x) = 4(2/3)ˣ
here 0 < b < 1 and a > 0
Therefore, f(x) = 4(2/3)ˣ represents exponential decay.
Hence, option D is the correct function.
You can either do this on the calculator, or in your head. As its a larger number, it is worth doing it on the calculator.
413/14= 29.5
The alternative method is to list all of the tens multiples, and the smaller multiples when you're getting close to the answer, and this will be able to help you.
14x10= 140
14x20=280
14x30= 420 (which is slightly too big)
14x29= 406 (slightly too small)
14x29.5= 413
Hope this helps :)
Answer:
2.13% (rounded to nearest thousandth)
Step-by-step explanation:
You subtract 24 from 23.5 to get 0.5
Then you divide 0.5 by 23.5 to get 0.02127
Then you multiply that by 100 to get your percent error
E. 72
6 feet long cast shadow = 24 feet pole
18 feet long cast shadow = 72 feet pole
18/6=3
24x3=72