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3 years ago

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

1 answer:

6 0

he elements of the Klein 44-group sitting inside A4A4 are precisely the identity, and all elements of A4A4of the form (ij)(kℓ)(ij)(kℓ) (the product of two disjoint transpositions).

Since conjugation in SnSn (and therefore in AnAn) 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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Composite function is the result of using one function as the input for another function.

ipn [44]

Answer:

True

Step-by-step explanation:

That is the definition of composite function

3 0

3 years ago

Sandra is 4 feet tall. Pablo is 10% taller than Sandra and Michaels is 8% taller than Pablo. What is Michael height in feet

taurus [48]

We first calculate Pablo's height .

4 = 100%

x = 1% (Where x is 1% of Sandra's height.)

cross multiplying the equation, we get:

100x = 4 → x = 4/100 → x = 0.04

If 1% = 0.04, then 10% will be 0.04 × 10 = 0.4

Pablo's height is 4 + 0.4 = 4.4 feet.

Now we repeat the above steps to get Michal's height from Pablo's height

4.4 = 100%

x = 1% so:

100x = 4.4 → x = 4.4/ 100 → x = 0.044

If 1% = 0.044, then 8% will be 0.044 × 8 = 0.35

Michael's height is 4.4 + 0.35 = 4.75 feet.

5 0

3 years ago

Show what is 12/36 as a simplified fraction

ZanzabumX [31]

The answer is 1/3 divide 12 by 12 and 36 by 12

7 0

3 years ago

Read 2 more answers

(x+3)^2 and x^2+9 is equivalent?

chubhunter [2.5K]

They are not equivalent, try adding in numerical values for x, both do not come out the same.

3 0

3 years ago

The area of triangle formed by points of intersection of parabola y=a(x−1)(x−4) with the coordinate axes is 3. Find a if it is k

n200080 [17]

Answer:

The value of a will be $a=-\frac{1}{2}$

Step-by-step explanation:

Start by graphing the parabola and the three points of the triangle. These points are at intersections of y=a(x-1)(x-4) and the axes

so the y = 0 points are (1,0) and (4,0).

The x = 0 intersection is when y=a(-1)(-4) or (0,4a)

The base and height of this triangle are

The base would be the distance between the y=0 intersections and the height would be the y value of the other vertex.

Hence, base=3 units and height = 4a units. Thus, area can be calculated as

$A = \frac{1}{2}\times b\times h =\frac{1}{2}\times 3\times 4a = 3$

$a=\frac{1}{2}$

∵ the parabola opens downward therefore a will be negative.

hence, $a=-\frac{1}{2}$

3 0

3 years ago