Answer:
greater
Step-by-step explanation:
if you add them and do the multiplication it is greater
Answer:
A
Step-by-step explanation:
A: This is the best choice. She will get a survey sample of many students from different grades and the sample will be random. This will give accurate and unbiased results.
B: This would only give results of students in a math class, so the results would be biased.
C: This would only be surveying seventh grade students, when there are also other grades in the middle school. This would not give accurate results.
D. The question states that Nicole is surveying opinions of students. Asking the teachers, especially only the teachers in one hallway, will definitely not help to find the opinions of students.
Therefore, the correct choice is A: Random students as they enter school
It looks like the limit you want to compute is
![\displaystyle \lim_{x\to4} \frac{f(g(x)) - f(4)}{x-4}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clim_%7Bx%5Cto4%7D%20%5Cfrac%7Bf%28g%28x%29%29%20-%20f%284%29%7D%7Bx-4%7D)
Since
, this limit corresponds exactly to the derivative of
at
. Recall that
![f'(a) = \displaystyle \lim_{x\to a} \frac{f(x) - f(a)}{x - a}](https://tex.z-dn.net/?f=f%27%28a%29%20%3D%20%5Cdisplaystyle%20%5Clim_%7Bx%5Cto%20a%7D%20%5Cfrac%7Bf%28x%29%20-%20f%28a%29%7D%7Bx%20-%20a%7D)
By the chain rule,
![(f\circ g)'(4) = f'(g(4)) \times g'(4) = f'(4) \times g'(4) = 3\times7 = \boxed{21}](https://tex.z-dn.net/?f=%28f%5Ccirc%20g%29%27%284%29%20%3D%20f%27%28g%284%29%29%20%5Ctimes%20g%27%284%29%20%3D%20f%27%284%29%20%5Ctimes%20g%27%284%29%20%3D%203%5Ctimes7%20%3D%20%5Cboxed%7B21%7D)
Since
exists,
is differentiable at
so it must be continuous.
Answer:
7959.83
Step-by-step explanation:
A = P ( 1+r/n)^ nt
Where A is the amount in the account
P is the principal
r is the rate
n is the number of compoundings per year
t is the years
A =3000 ( 1+.10/2)^ 2*10
A =3000 ( 1+.05)^ 20
=7959.83
Answer:
b
Step-by-step explanation:
hail can occur at temperatures not too cold and not too hot. since he checked his thermometer and it was warm, it is certainly possible that he saw hail