Answer:
i am not certain but i think i am correct
LA- 131.88
SA- 188.4
V- 197.82
Step-by-step explanation:
LA-
2×3.14= 6.28
6.28×3= 18.84
18.84×7= 131.88
SA-
2×3.14= 6.28
6.28×3= 18.84
18.84×7= 131.88
2×3.14= 6.28
6.28×3= 18.84
18.84×3= 56.52
56.52+131.88= 188.4
V-
3.14×3= 9.42
9.42×3= 28.26
28.26×7= 197.82
as i said i am not sure if this is right
Answer:

Step-by-step explanation:

1a) so for this problem, I took what they gave you, 637.5 and divided it by .75 and got 850
so .75 * 850 = the gallons, so just take the number of hours and multiply it by 850 to get your gallons
0.25 x 850 = 212.5
1.5 x 850 = 1,275
2.5 x 850 = 2,125
1b) the unit rate is 850
1c) 5.5 x 850 = 4,675 gallons
1d) So 850 gallons can be filled in an hour, you only need 100 gallons
850/100 = 17/2 (simplified)
17 gallons/hour 60 minutes
------------------------- x ---------------------
2 gallons 1 hour
the gallons cancel out and the hours cancel out which leaves us with:
17 x 60 = 1,020 / 2 = 510
510 minutes
2) I don't know how to do two sorry
Given:


To find:
Whether f(x) and g(x) are inverse of each other by using that f(g(x)) = x and g(f(x)) = x.
Solution:
We know that, two function are inverse of each other if:
and 
We have,


Now,
![[\because g(x)=\dfrac{8}{x}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20g%28x%29%3D%5Cdfrac%7B8%7D%7Bx%7D%5D)
![[\because f(x)=\dfrac{8}{x}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%28x%29%3D%5Cdfrac%7B8%7D%7Bx%7D%5D)


Similarly,
![[\because f(x)=\dfrac{8}{x}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%28x%29%3D%5Cdfrac%7B8%7D%7Bx%7D%5D)
![[\because g(x)=\dfrac{8}{x}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20g%28x%29%3D%5Cdfrac%7B8%7D%7Bx%7D%5D)


Since,
and
, therefore, f(x) and g(x) are inverse of each other.
The value of b is -6.
Explanation:
The expression is 
To determine the value of b, we shall solve the expression.
Applying exponent rule,
, we get,

Applying exponent rule,
, we have,

The expression is of the form,
then 
Applying this rule, we get,

Dividing both sides by 4, we have,

Hence, the value of b is -6.