Answer:
9.42 feet
Step-by-step explanation:
The circumference is π × diameter.
3.14 × 3 = 9.42
The circumference of the circular post is 9.42 feet.
Given:

where,
.
To find:
The value of
.
Solution:
We have,

Differentiate with respect to x.

Using chain rule, we get

Now, put x=5.

![[\because g(5)=-1,g'(5)=8]](https://tex.z-dn.net/?f=%5B%5Cbecause%20g%285%29%3D-1%2Cg%27%285%29%3D8%5D)
![[\because f'(-1)=3]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%27%28-1%29%3D3%5D)

Therefore, the value of
is 24.
Answer:
48
Step-by-step explanation:
12x8=96
96/2=48
you can check this on a calculatot
they threw in the angel to confuse you
1. B
2. D I'm not sure about this one
3. A
4. C
5. C
6. B
7. -9
8. 1
9. -2
10. 5
Hope this helps! I'm sure about all except for number 2!
Answer:
4 litres of 12% solution
2 litre of 24% solution
Step-by-step explanation:
Let the 12% solution = l
Let the 24% solution = h
Dimitri needs a total of 6 litres of both :
l + h = 6 - - - - - - - - (1)
He needs a mixture of both volumes of both to give a 16% volume
12%l + 24%h = 16% * 6
0.12l + 0.24h = 0.96 ----(2)
From (1)
l + h = 6;
l = 6 - h
Substitute l =6-h into (2)
0.12(6 - h) + 0.24h = 0.96
0.72 - 0.12h + 0.24h = 0.96
0.72 + 0.12h = 0.96
0.12h = 0.96 - 0.72
0.12h = 0.24
h = 0.24 / 0.12
h = 2
From ;
l = 6 - h
l = 6 - 2
l = 4