The general case when G₁⊕G₂⊕G₃...⊕Gₙ is cyclic generated by (g₁, g₂, g₃,...,gₙ) is that the subgroups G₁, G₂, G₃,...., Gₙ are cyclic generated by g₁, g₂, g₃, ..., gₙ respectively.
G⊕H is cyclic
That is G⊕H = <(g, h)>
Let us choose an arbitrary element g₁ ∈ G, then as G⊕H is cyclic
(g₁, h₁) ∈ G⊕H = <( g, h)>
This means that there exists an integer x such that
(g₁, h₁) = (g, h)ˣ
(g₁, h₁) = (gˣ, hˣ)
that is g₁ = gˣ
implies g₁ ∈ <g>
that is G ⊆ <g> as g₁ is an arbitrary element belonging to G
But we know <g> ⊆ G
Hence G = <g>
Thus G is a cyclic group generated by g.
Similarly we can prove that H group is cyclic generated by h, that is H = <h>
So the general case is that G₁⊕G₂⊕G₃...⊕Gₙ is cyclic generated by (g₁, g₂, g₃,...,gₙ), then the subgroups G₁, G₂, G₃,...., Gₙ are cyclic generated by g₁, g₂, g₃, ..., gₙ respectively.
To know more on cyclic groups
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The perimiter of a rectangle is 128 inches. The width of the rectangle is 4y inches. Find the length of the rectangle in terms of y.
PLEASE HELP!
I will give brainiest if it is correct
Answer:
The perimeter of a rectangle is 2W + 2L.
P = 2W + 2L
128 = 2(4y) + 2L = 8y + 2L
2L = 128 - 8y
L = 64 - 4y (this is the answer
Step-by-step explanation:
A car traveled 25 miles in 1/5 of an
hour. At the same speed, how many
miles will the car travel in 1 hour?
Answer:
in 1 hour it can travel 5(25)= 125 miles
Answer:
125 miles
Step-by-step explanation:
1/5 of a n hour = [tex]\frac{1}{5}*60[/tex] = 12 minutes
Distance traveled in 12 minutes (1/5 of an hour) = 25 miles
Distance traveled in 1 minutes = 25 ÷ 12 = [tex]\frac{25}{12}[/tex]
Distance traveled in 1 hour (60 minutes) = [tex]\frac{25}{12}*60 = 25*5 = 125 miles[/tex]
A farmer sells 7.1 kilograms of pears and apples at the farmer's market. 1/4 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:
your answer gonna be 4 1/10 that's your answer
AYUDAAAAA!!!
Partes de una cantidad
Es para hoy en la tarde porfis:-|
Answer:
I don't speak Spanish sorry༼ つ ◕_◕ ༽つ/_ \
write a propotion that can be obtained from the given figures. PLEAS ANSWER SENSIBLY
Answer:
1.
(p+m)/m=(c+o)/o
or
m/(p+m)=o/(c+o)
2.a/v=s/i
or
v/a=i/s
Word Problem #2
On one night, a scientist needs to determine the
distance she is away from the International Space
Station. At the specific time she is determining this the
space station distance they are both on the same line of
longitude 77' E. Furthermore, she is on a latitude of 29°
N and the space station is orbiting just above a latitude
of 61.4° N. In short, the central angle between the two
is 32.4°. If the Earth's radius is 3959 miles and the
space station orbits 205 miles above the surface of the
Earth, then how far is the scientist away from the space
station?
205 mi
3959 miles
324 CE
A
3959 miles
Can someone please help me please I really need help please help me.
Answer:
Step-by-step explanation:
I can't get to act correctly either.
The answer is 1 day and 7 items.
Ariana
y = 5x + 2
Julie
y = 7x
The ys have to be the same so equate the right hand side.
7x = 5x + 2 Subtract 5x from both sides.
7x - 5x = 5x - 5x + 2
2x = 2 Divide by 2
2x/2 = 2/2
x = 1
1 day
7 items
pleas help meeeeeeeee !!
The quotient of a number and -6 decreased by 2, is 10. FInd the number
Answer:
[tex]x = 48[/tex]
Step-by-step explanation:
Quotient means what you get when you divide a number by another number.
What we can do is make an equation using the information given, which turns out to be this:
[tex](\frac{x}{6}) - 2 = 10[/tex]
Add 2.
[tex]\frac{x}{6} = 8[/tex]
Multiply by 6.
[tex]x = 48[/tex]
A nursery owner buys 7 panes of glass to fix some damage to her greenhouse. The 7 panes cost
$15.05. Unfortunately, she bredks 3 more panes while repairing the damage. What is the cost of
another 3 panes of glass?
Answer:
Its 6.45
Step-by-step explanation:
we first need to know how much is one pane of glass so i divide
15.05÷ 7 and got $2.15
so each one pane of glass is $2.15
than i multiply 2.15 x 3 and got 6.45
So the cost is 6.45
25% of what number is 9
Answer:
36
Step-by-step explanation:
The Raidius of a spherical globe is 9 inches what is the volume of the globe?
Gary is a regular customer at a coffee shop. The probablity that Gary orders a bagel is 85% . If Gary goes to the coffee shop 500 times, which is the best estimate for the number of times Gary will NOT order a bagel?
The answer will be 425................
Wich measurement is the closest to the area of the triangle in square centimeters???? :(
what is the formula to find the vertex of an exponential function?
Answer:
formula: x = -b/2a
Step-by-step explanation:
What is the measure in degrees of an angle that is supplementary to a 98
degree angle?
Answer:
82°Explanation:
180 - 98 = 82°
Anybody please help me
I will mark brainliest if you help me out and give me the correct awnser! Please help me with dot plotting.
20. 64% of the people at the movie theater bought popcorn in one weekend. For the next weekend, if the movie theater expects 125 people, then how many should be expected to buy popcorn?
Answer:
26
Step-by-step explanation:
20.64 divided by 100 then multiplied by 125 which will result in you receiving the answer 25.8 but I rounded it off to 26
Hamburger Heaven is having a lunch special where customers buy one 1/4 pound cheeseburger and get one free. If they set aside 114 2/3 pounds of meat, how many -pound cheeseburgers can they make?
Answer: 459 cheeseburgers
Step-by-step explanation:
To find out the number of cheeseburgers that can be made, divide the amount of meat set aside by the amount of meat it takes to make one cheeseburger.
The amount of meat they have is:
= 114²/₃
= 344/3
Number of cheeseburgers is:
= 344/3 ÷ 1/4
= 344/3 * 4/1
= 1,376 / 3
= 458.67
= 459 cheeseburgers
The table shows a students results from spinning the pointer 30 times. Find the experimental probability that the pointer lands in a section with a number greater than or equal to 3.
Answer:
The answer is 8/15
hope it helps you
No links! Please!!
Factor 28x+12y using the GFC
Answer:
4(7x + 3y)
Step-by-step explanation:
28x+12y using GCF(greatest common factor)
gcf = 4
4(7x + 3y)
Answer:
4(7x+3y)
Step-by-step explanation:
28x+12y
Factor out the greatest commom factor "4"
4(7x+3y) is the answer
How many grams is 3200 milligrams? A. 2.5 g B. 3 g C. 3.2 g D. 3.5 g
Answer:
C. 3.2g
Step-by-step explanation:
Mark Me Brainliest?
Answer:
3200mg is C; 3.2g
How can you convince someone that 8^0=1?
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{Fun fact: ANY NUMBER that is raised to the power of 0 is automatically}\\\large\textsf{equal to 1.. because the number to the 0 power is not a product of any}\\\large\textsf{number whatsoever, which why it has an understanding its recognition is 1. }[/tex]
[tex]\large\text{So, you can briefly tell them that for better understanding of exponents of}\\\large\text{0 that equals to 1}\uparrow[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
find the value of each variable
Answer:
x=12.124
y=14
Step-by-step explanation:
tan(30)= 7/x
x= 7/tan(30)
sin(30)= 7/y
y= 7/sin(30)
!!!!!Please do step by step when answering!!!!!
Answer:
surface area =0.1357
Step-by-step explanation:
first, find the triangle area
to find use triangle area= base x height divided by 2
so .18 x .23
=0.0414
divided by 2
= .0207
multiplty 0.0414 by 4 because theres a total of 4 triangle sides
.0207 x 4 = 0.0828
now find the area of the square on the bottom
area= base x height
.23 x .23 = 0.0529
now add the two areas together
0.0529 + 0.0828= 0.1357
What theorem shows ACE = BCD
Answer:
SAS
Step-by-step explanation:
in two triangles
if EC=DC
AC =BC
M<ECA =M<DCB "V.O.A"
THEN triangle ACE = triangle BCD
How much should Josea leave for the tip?
Reminder: The total bill was $38. She wanted to leave
a 15% tip.
Answer: soo if the bill is $38
then 15% times 100 = 0.15
38.00 x 0.15 = $5.7
Step-by-step explanation:
Answer:
$5.7 as a tip
What are the zeros for 3x^2 - 17x = -10? Below, you need to choose the correct factors and the correct zeros.
Answer:
Step-by-step explanation:
3x²-17x=-10
3x²-17x+10=0
3x²-2x-15x+10=0
x(3x-2)-5(3x-2)=0
(3x-2)(x-5)=0
3x-2=0,x=2/3
x-5=0,x=5
Question Help
In the figure to the right, lines that appear to be tangent are tangent, and is the center of the circle.
What is the value of x?
Answer:
sorry
where is the figure