Answer: x = 1.1968729357 ; or, round to: 1.2 .
____________________________________________ You would take the "ln" (that is, "natural logarithm") of EACH side of the equation:
ln (e^4x) = ln (120);
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Then continue:
4x ln e = ln 120
4x = ln 120 ; (since "ln e = 1")
then divide EACH side of the equation by "4", to isolate "x" on one side of the equation; and to solve for "x" ;
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4x / 4 = (ln 120) / 4 ;
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x = (ln 120) / 4 ;
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Using a calculator:
_________________________________________________________
x = (ln 120) / 4 = (4.78749174278) / 4 = 1.1968729357
Answer: x = 1.1968729357 ; or, round to: 1.2 .
____________________________________________
Answer:
Area: 200.96 cm
Circumference: 50.24 cm
Explanation: I recently just learned this. The area of a circle is Pi times radius squared which makes. 3.14 x 8^2 = 3.14 x 64 = 200.96. SInce none of the original measurements are squared it will be 200.96 cm
The circumference of a circle is diameter times pi which makes 3.14 x (8 x 2) = 3.14 x 16 = 50.24. Since none of the original measurements are squared it will be 50.24 cm
I hope this helps! pls mark brainliest if it helps!
Answer:
Yes, y varies directly with x, and the equation is 
.
Step-by-step explanation:
To check where there is a direct relationship between x and y, we need to check whether all the x,y pairs we have fit some rule:
.
For the first pair (x=4, y=6.4),
Therefore 
.
For the second pair (x=7, y=11.2),
Therefore .
For the third pair (x=10, y=16),
Therefore .
For the second pair (x=13, y=20.8),
Therefore .
So x does directly vary with y, and we have found out that 
.
