
<em>We should ISOLATE x</em>
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<em>Find the Natural Log of Both Sides to Make the Left Side "y"</em>
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<em>Now, FIND THE DERIVATIVE Using Chain Rule!!!</em>
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6/11 = 0.54_54 . . . . . the digits 54 are repeated indefinitely
You can arrive at the digits 54 by multiplying the numerator (6) by 9. This will be the case for any proper fraction with 11 as a denominator.
Set up a porportion,
3/5 hours / 2/5 square yards
1 hour / x square yards
simplify by cross multiplying
3/5x <span>= 2/5(1).
</span>3/5x <span>= 2/5.
</span> 3/5/3/5x = <span>2/5/3/5
x </span><span>= 10/15
</span>x <span>= 2/3
</span><span>
so she can paint </span><span>2/3 square yards in 1 hour. hope this helps!</span><span>
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Volume of a cylinder= (height) x area of the base (circle)
We know the height = 160 cm (given), let's find the radius of the base.
The circumference of the base = 87.92 = 2πR==> R=87.92/(2π) =13.993 cm
Area of circle = πR²=π(13.993)² = 615.128 cm²
Hence the volume of the cylinder = 615.128 x 160 = 92,420.48 cm³