Answer:
Step-by-step explanation:
Answer:
6*8=48 groups with elements of order 7
Step-by-step explanation:
For this case the first step is discompose the number 168 in factors like this:
And for this case we can use the Sylow theorems, given by:
Let G a group of order where p is a prime number, with and p not divide m then:
1)
2) All sylow p subgroups are conjugate in G
3) Any p subgroup of G is contained in a Sylow p subgroup
4) n(G) =1 mod p
Using these theorems we can see that 7 = 1 (mod7)
By the theorem we can't have on one Sylow 7 subgroup so then we need to have 8 of them.
Every each 2 subgroups intersect in a subgroup with a order that divides 7. And analyzing the intersection we can see that we can have 6 of these subgroups.
So then based on the information we can have 6*8=48 groups with elements of order 7 in G of size 168
Answer:
20 45¢ stamps
Step-by-step explanation:
Since 100¢ = $1,
you have to convert $9 into 900¢
900 ÷ 45 = 20
So you can buy 20 stamps
Hope this helps! :)
Answer:
This answer is A
Step-by-step explanation:
your welcome, im fast to answer
We will use the following coordinates (4,4) and (5.5,3.5) these two are closest to the line.
Then we will do the following to find the gradient (slope)
(3.5-4)/(5.5-4) = - 1/3
rounded to 3 decimal places would give us -0.333