By the recursive definition,




Given that the amount of time varies inversely with G.
It can be written as,

where K is the constant.
We need to determine the time it takes to put out the fire when 200 gallons of water are used.
<u>The value of constant:</u>
When
, we get;


Thus, the value of constant is 96.
<u>Time taken:</u>
Substituting
and
in the formula
, we get;

Thus, the time taken to put out the fire using 200 gallons of water is 48 minutes.
Hence, Option B is the correct answer.
Answer:
x = -8/3
y = 4
Step-by-step explanation:
I assume you want to solve for x and y.
The best way to do this with the two formulas given is elimination. This means add the two equations together.
6x + 5y = 4
-6x + y = 20
The 6 x and -6x will cancel each other. By adding the like terms of the two together you will come out with
6y = 24
Now solve for y by dividing both sides by the 6.
y = 24/6 = 4
Now that we have y, you can plug it into one of the equations and solve for x.
Let's use -6x + y =20.
So plug in the 4 for y to get -6x + 4 = 20
Subtract the 4 from both sides then solve for y by dividing both sides by the -6.
-6x = 16
x = -16/6
You can reduce that down so that x = -8/3.
Answer:
The hypotenuse is the longest side in a triangle.
a^2=b^2+c^2.
14^2=9^2+c^2.
c^2=196-81.
c^2=115.
c=√115.
c=10.72~11cm