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Verizon [17]
3 years ago
14

Find a normal subgroup of v which is not normal in a4.

Mathematics
1 answer:
Tpy6a [65]3 years ago
6 0

he elements of the Klein <span>44</span>-group sitting inside <span><span>A4</span><span>A4</span></span> are precisely the identity, and all elements of <span><span>A4</span><span>A4</span></span>of the form <span><span>(ij)(kℓ)</span><span>(ij)(kℓ)</span></span> (the product of two disjoint transpositions).

Since conjugation in <span><span>Sn</span><span>Sn</span></span> (and therefore in <span><span>An</span><span>An</span></span>) does not change the cycle structure, it follows that this subgroup is a union of conjugacy classes, and therefore is normal.

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C, D, B

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5 0
3 years ago
Please help me- thank you
Kruka [31]

Answer:

a) The profit will be: Profit=y^2-99500

b) Since the profit is -9500 (negative) so, company will not gain any profit if they produce 300 bicycles.

Step-by-step explanation:

Cost of Bicycles= y^2+10y+100,000

Revenue generated = 2y^2+10y+500

Find a polynomial that represent profits

The formula used for finding profit is:

Profit = Total \ Revenue - Total \ Cost\\Profit=  2y^2+10y+500 - (y^2+10y+100,000)\\Profit=  2y^2+10y+500 - y^2-10y-100,000\\Profit=2y^2-y^2+10y-10y+500-100,000\\Profit=y^2-99500

So, the profit will be: Profit=y^2-99500

If the company can produce bicycles y= 300

The profit will be:

Profit=y^2-99500\\Profit=(300)^2-99500\\Profit=90000-99500\\Profit=-9500

Since the profit is -9500 (negative) so, company will not gain any profit if they produce 300 bicycles.

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3 years ago
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