Answer:
Enrollment at walnut junior = 142
Enrollment at walnut high = 710
Step-by-step explanation:
Let :
Enrollment at walnut junior = x
Enrollment at walnut high = 5x
Total enrollment in both schools = 852
Mathematically ;
x + 5x = 852
6x = 852
x = 142
5x = 142 * 5 = 710
Hence,
Enrollment at walnut junior = 142
Enrollment at walnut high = 710
The equation of the line through (0, 1) and (<em>c</em>, 0) is
<em>y</em> - 0 = (0 - 1)/(<em>c</em> - 0) (<em>x</em> - <em>c</em>) ==> <em>y</em> = 1 - <em>x</em>/<em>c</em>
Let <em>L</em> denote the given lamina,
<em>L</em> = {(<em>x</em>, <em>y</em>) : 0 ≤ <em>x</em> ≤ <em>c</em> and 0 ≤ <em>y</em> ≤ 1 - <em>x</em>/<em>c</em>}
Then the center of mass of <em>L</em> is the point with coordinates given by
where is the first moment of <em>L</em> about the <em>x</em>-axis, is the first moment about the <em>y</em>-axis, and <em>m</em> is the mass of <em>L</em>. We only care about the <em>y</em>-coordinate, of course.
Let <em>ρ</em> be the mass density of <em>L</em>. Then <em>L</em> has a mass of
Now we compute the first moment about the <em>y</em>-axis:
Then
but this clearly isn't independent of <em>c</em> ...
Maybe the <em>x</em>-coordinate was intended? Because we would have had
and we get
The answer is this
42%, 17/40, 0.43
The answer is: " 2x¹⁶ y " .
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This is the "most simplified" version of the expression given.
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Explanation:
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Given: "2xy (x⁵)³ " ; Simplify .
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Note: (x ⁵) ³ = x⁽ ⁵ * ³ ⁾ = x ⁽¹⁵⁾ ;
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Rewrite:
2xy (x⁵)³ = 2xy x⁽¹⁵⁾ ;
Rewrite:
2 * x * x⁽¹⁵⁾ * y ;
Note: "x * x⁽¹⁵⁾ = x¹ * x¹⁵ = x⁽¹ ⁺ ¹⁵⁾ = x¹⁶ ;
Rewrite: " 2x¹⁶ y " .
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