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Juliette [100K]

4 years ago

11

Please help thank you.

1 answer:

777dan777 [17]4 years ago

4 0

If two similar figures have side lengths that differ by a factor of x, then their area will be different by a factor x².

The side length of Hunter's square of compost is 4 times larger than the 6 by 6 square. The area will be 4², or 16, times larger than the area of the 6 by 6 square.

Multiply 16 with 500 beetles.

$16 \times 500=8000$

Hunter can have 8000 beetles with his square of compost.

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Answer:

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Step-by-step explanation:

The equations are:

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The two graphs intersect when:

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To find the area under the curve for the first equation:

$A_{1} = \int\limits^3__-3}{x^{2} + 2x + 3} \, dx$

To find the area under the curve for the second equation:

$A_{2} = \int\limits^3__-3}{2x + 12} \, dx$

To find the total area:

$A = A_{2} -A_{1} = \int\limits^3__-3}{2x + 12} \, dx -\int\limits^3__-3}{x^{2} + 2x + 3} \, dx$

Simplifying the equation:

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Note: The reason the area is equal to the area two minus area one is that the line, area 2, is above the region of interest (see image).

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