We have been given volume of the cylinder which is 536.94 cubic inches. Now question says to find the radius of the cylinder.
Then we need to use formula of volume of cylinder which is given by :

We see that there are three unknown values in the formula: {volume, radius-r, height-h}
So to find any one of them we must know other two values.
Volume is given but height is missing. So just for explanation i'm going to use height of the cylinder h= 19 inches
Now plug the value of volume and height in above formula





take square root of both sides
3=r
Hence radius of the cylinder is 3 inches.
<em><u>(0.2)x = 2.</u></em>
<em><u>Taking log on both sides</u></em>
<em><u>log (0.2)x = log 2.</u></em>
<em><u>x</u></em><em><u> </u></em><em><u>log (0.2) = 0.3010, [since log 2 = 0.3010].</u></em>
<em><u>x</u></em><em><u> </u></em><em><u>log (2/10) = 0.3010.</u></em>
<em><u>x</u></em><em><u> </u></em><em><u>[log 2 - log 10] = 0.3010.</u></em>
<em><u>x</u></em><em><u> </u></em><em><u>[log 2 - 1] = 0.3010,[since log 10=1].</u></em>
<em><u>x[-0.699] = 0.3010.</u></em>
<em><u>x</u></em><em><u>=</u></em><em><u> </u></em><em><u>0.3010/-0.699.</u></em>
<em><u>x</u></em><em><u>=</u></em><em><u> </u></em><em><u>= -0.4306….</u></em>
<em><u>x</u></em><em><u>=</u></em><em><u> </u></em><em><u>= -0.4</u></em><em><u>.</u></em>
The ratio House blend/Organic Free Trade blend is the same and must remain the same.
So, the proportion is:

Where x is the unknown amount of the Organic Free Trade blend.
So, from the proportion, we have:

Answer: 156 pounds of Organic Free Trade blend
Answer:
C:
Step-by-step explanation:
In the attached file
Answer:
Step-by-step explanation:
f(x) = y = 4x + 7
Solve for "x"
4x + 7 = y ⇒ x =
y -
Exchange the places "x" and "y"
(x) =
x -
or
(x) =