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Rufina [12.5K]
3 years ago
10

Let G be a group with |G|=pk, where p is a prime and k≥1. Show that has a normal sub group of order for all 1 ≤ m ≤ k.

Mathematics
1 answer:
Novay_Z [31]3 years ago
8 0

Answer:

i think the answer is 40

Step-by-step explanation:

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Find slope and y-intercept<br> 5x+3y=-6
katen-ka-za [31]

Answer:

m=-\frac53; q=-2

Step-by-step explanation:

Let's bring the line in the classical y=mx+q form

3y= -5x-6\\y=-\frac53 x -2

At this point we have the two values -\frac53 for the slope and 2 for the intercept

6 0
2 years ago
Sophie went to the lake with her family. First, they spent 1 1/4 hours of fishing. Then, they spent twice as much time swimming.
Cloud [144]
Overall, they spent 3 3/4 hours fishing and swimming.
3 0
3 years ago
The vertex of this parabola is at (-2, -3). When the x-value is -1, the
valina [46]

Answer:

-2

Step-by-step explanation:

Start with the vertex form of the equation of a parabola:  y - k = a(x - h)^2

Here h = -2, k = -3, x = -1, y = -5.  Find a:

-5 - [-3] = a(-1 - [-2])^2, or

-5 + 3 = a(1)^2, or

-2 = a

The unknown coefficient is -2.

7 0
3 years ago
A license plate consists of two letters followed by two digits; for example, $MP78$. Neither the digits nor the letters may be r
alex41 [277]

If in a number plate two different alphabets need to be selected then there are 650 such number plates that can be formed in such a way that the alphabets come in increasing order.

Given that a number plate can be formed using 2 alphabets which must come in increasing order.

We are required to find the number of plates that can be formed.

Number of total alphabets=26.

The number of plates will be equal to the number of ways in which two alphabets can be arranged.

Combination is the number of ways in which some combinations can be formed. It is expressed as nC_{r}=n!/r!(n-r)!

Number of license plates=26C_{1}*25C_{1}

=26*25

=650 plates

Hence If in a number plate two different alphabets need to be selected then there are 650 such number plates that can be formed in such a way that the alphabets come in increasing order.

Learn more about combinations at brainly.com/question/11732255

#SPJ4

3 0
1 year ago
Help me please with math
koban [17]

Answer:

2) y = x - 4

   y = -x + 2

   => x - 4 = -x + 2

   => 2x = -6

   => x = -3

   => y = -3 - 4 = -7

3) y = 3x + 1

   y = 5x - 3

   => 3x + 1 = 5x - 3

   => 2x = 4

   => x = 2

   => y = 3(2) + 1 = 7

4) 2x + y = 8 => y = -2x + 8

   y = x - 7

   => -2x + 8 = x - 7

   => 3x = 15

   => x = 5

   => y = 5 - 7 = -2

7 0
2 years ago
Read 2 more answers
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