G=Z6×Z2G=Z6×Z2 will do (where ZnZn denotes the cyclic group of order nn). As a direct product of cyclic (so abelian) groups, GG is again abelian. Given any element (x,y)∈G(x,y)∈G, the order of (x,y)(x,y) will be the least common multiple of the orders of x,y.x,y.
The order of xx must divide 66 and the order of yy must divide 2,2, so the order of (x,y)(x,y) is at most lcm(6,2)=6.lcm(6,2)=6. But |G|=|Z6|⋅|Z2|=6⋅2=12.|G|=|Z6|⋅|Z2|=6⋅2=12. Since no element of GG has order 12,12, then GG is not cyclic.
Stanley runs, swims, and bikes every day. During these workouts, he runs at 9 mph, bikes at 16 mph, and swims at 2.5 mph. Yesterday, he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?
Chapter Reference
e
What distance did Stanley cover while biking?
The time spent for each activity can be found writing an equation based on
the known parameters.
The duration of the time Stanley spent running is 1.5 hoursThe duration of the time Stanley spent swimming is 1 hourThe duration of the time Stanley spent Biking is 3 hoursThe distance Stanley cover while biking is 48 milesReasons:
The running speed = 9 mph
The biking speed = 16 mph
Swimming speed = 2.5 mph
The time spent running = 0.5 hour + Time spent swimming
Biking time = 2 × Running time
The total distance covered = 64 miles
Required:
Time spent running, swimming, and biking
Solution:
Let t represent the time Stanley spent swimming, we have;
(t + 0.5)·9 + 2.5·t + 2×(t + 0.5)×16 = 64
43.5·t + 20.5 = 64
43.5·t = 64 - 20.5 = 43.5
[tex]t = \dfrac{43.5}{43.5} = 1[/tex]
The time Stanley spent swimming, t = 1 hourThe time Stanley spent running = 0.5 + t
Therefore;
The time spent running = 0.5 hour + 1 hour = 1.5 hour
Time spent running = 1.5 hoursTime spent biking = 2 × Running time
Therefore;
Time spent biking = 2 × 1.5 hours = 3 hoursThe distance Stanley cover while biking, d = 3 × 16 mph = 48 milesLearn more here:
https://brainly.com/question/23206880
Estimate the product 2.1 x 0.9
Answer:
2.0 estimated product
1.89 Actual product
Step-by-step explanation:
2.0*1.0=2.0
2.1*1.0=1.89
The product of 2.1 x 0.9 = 1.89
What is Product?A product is something that has been multiplied one or more times. For instance, the mathematical formula "times equals" would be written with the terms "times," "multiplicand," and "product," respectively.
Given:
2.1 x 0.9
Now, Multiplying
2 . 1
x 0 . 9
_________
1 8 9
0 0 x
__________
1 . 8 9
Hence, the product of 2.1 x 0.9 = 1.89
Learn more about product here:
https://brainly.com/question/624355
#SPJ2
Which equation represents the line that passes through C(2,4) and is perpendicular to the graph of y=1/3x-1?
Answer:
Step-by-step explanation:
y=-3x + b the slope is the negative inverse of 1/3
4=3(2) + b
b =-2
the equation is
y=-3x - 2
slope is the negative inverse. You find the y intercept, b, by plugging in the point (2,4) to get 4=3(2)+b
2 (b) The line, L4, passes through the point (0,3)and is parallel to the line y - x + 3 = 0, find the equation of L4 -
Answer:
y = x + 3
Step-by-step explanation:
→ Rewrite y - x + 3 = 0 in y = mx + c format
y = x - 3
→ Find the gradient of L4
1
→ Rewrite into y = mx + c format
y = x + c
→ Substitute in ( 0 , 3 )
3 = 0 + c
→ Find c
c = 3
→ Rewrite into y = mx + c
y = x + 3
Can someone pls help me I really need help in here.. PLS…
And if u can explain how you make it I will appreciate it,. Thank u:(((
Answer:
So, "Compare the following rational numbers," its asking which of them is greater, or if there equal to each other.
So for 3.25 and 3 1/2
3 1/2 is greater
3.25 < 3 1/2 (so it should look like this when the symbol on that side)
and for -4.5 and -4.05
-4.05 is greater.
-4.5 < -4.05 (so the symbol is also on that side.)
solve pls brainliest
Answer:
Step-by-step explanation:
3.92,
Please help me with this question❤️ thanks
Answer:
70
Step-by-step explanation:
that can be 30 ft
Why is it more difficult to get out of debt when only paying the minimum payment?
Your entire minimum payment goes toward principal and the interest continues to compound.
The majority of your minimum payment is going toward interest and finance charges and only a small amount toward the principal.
Your credit limit always resets, so you have a lot of spending power each month.
Answer:
The majority of your minimum payment is going toward interest and finance charges and only a small amount toward the principal.
Step-by-step explanation:
I need help in learning how to solve this equation using substitution:
-x -y -z = -8
-4x + 4y + 5z = 7
2x + 2z = 4
Answer:
x=3, z=-1, y=6
Step-by-step explanation:
you need to make the coefficients of each variable equal to each other then subtract 2 equations.
this one: multiply -4 in 1st
4x+4y+4z=32
-4x+4y+5z=7
_____________
8x+0-z=25
we have 2 equations with 2 variables now
2x+2z=4
8x-z=25
what is the midpoint of-2,2 4,-1
−2/9−(−1/3÷3/5)
PLZZZZ ANSWER TEST
Answer:
The answer should be 1/3 Also known as 0.3333
Solve for me please
Answer:
[tex]{ \rm{10x + 5y + 2z = 5}} \\ { \rm{4x - 5y - 5z = 8}} \\ { \rm{3x + 5y + 4z = 1}}[/tex]
• First find x
[tex]{ \rm{10x = 5 - 5y - 2z - - - (i)}}[/tex]
• Find y
[tex]{ \rm{4x = 8 + 5y + 5z - - - (ii)}}[/tex]
• Find z
[tex]{ \rm{3x = 1 - 5y - 4z - - - (iii)}}[/tex]
equate the three equations:
[tex]{ \rm{0z - 10= 2y}} \\ \\ { \boxed{ \bf{y = - 5}}}[/tex]
Find z
[tex]{ \rm{z = ( - 1 \times - 5)}} \\ \\ { \boxed{ \bf{z = 5}}}[/tex]
Find x
[tex]{ \rm{3x + 5y + 4z = 1}} \\ \\ { \rm{3x - 25 + 20 = 1}} \\ \\ { \rm{3x = 6}} \\ \\ { \boxed{ \bf{x = 2}}}[/tex]
list five rational numbers between -4/5 and -2/3 . Please tell by step by step explaintion
9514 1404 393
Answer:
-0.67, -0.68, -0.69, -0.70, -0.71
Step-by-step explanation:
There are an infinite number of ways to do this.
Perhaps the simplest is to do it in decimal.
-4/5 = -0.8
-2/3 = -0.666... (repeating 6)
Any negative decimal number between these values will do. For example, ...
-0.67, -0.68, -0.69, -0.70, -0.71
__
If you want to choose fractions that are evenly spaced between the given values, you can find their difference, then divide that difference into 6 parts (1 more than the number of numbers you need).
-2/3 -(-4/5) = 4/5 -2/3 = (12 -10)/(5·3) = 2/15 . . . . length of interval
1/6 of this difference is ...
(1/6)(2/15) = 2/90 = 1/45
The interval end point nearest 0 is ...
-2/3 = -30/45
so the 5 intermediate values will be that value with -1/45 repeatedly added:
-31/45, -32/45, -33/45 = -11/15, -34/45, -35/45 = -7/9
_____
Additional comment
The fractions we came up with could be referred to as "5 arithmetic means between -2/3 and -4/5." There is nothing in the problem statement suggesting the values need to be evenly spaced.
When doing this in decimal, you can obtain a new value simply by adding more digits to the decimal fraction:
-0.68, -0.685, -0.6853, -0.68531, -0.799
8 + (-7) - (7) = 8 + 7 + (-4)
Answer:
The inequality is false and equals -14=3
Step-by-step explanation:
You want to start by cancelling equal terms on both sides of the equation which means getting rid of both 8's. You are left with (-7)-(7)=7+(-4).
From here you want to solve both sides meaning adding -7-7 because both terms are negative they will combine, and the other side which is -7+4. They are opposite terms so you will subtract. This leaves you with -14=3 which is false.
HELP LAST ATTEMPT!! marking as brainliest!
Answer:
i m not sure... whether it's correct or not......
bt I tried my best
Does anyone have the answer key for this assignment?
Answer:
try searching it up
Step-by-step explanation:
I need to know if 3750 is right or wrong cause I think that’s the answer
What are the coordinates of the point?
(3,6)
(6, – 3)
(-3, -6)
(-3,6)
Answer:
The answer is D ( the last option in your list of possible answers. -3,6)
Answer:
(-3,6)
Step-by-step explanation:
It goes backwards 3 units to the left meaning the x value is negative 3. It goes up 6 meaning the y value is 6. Plug the values into (x,y) and you get (-3,6)
Mikey is reading a 604-page book. He read 148 pages last week. If he reads for x hours at 19 pages per hour, which equation represents how long it will take him to finish the book?
A.
148x + 19 = 604
B.
19x + 604 = 148
C.
19x + 148 = 604
D.
19x - 148 = 604
Answer:
C
Step-by-step explanation:
first take off the 148 of the 604 page book then divide the rest by 19 ,
it should be 24 hours - 1-day .
it is c because it shows my explination because 19x + 148 is equal to 604 first take the 148 and 19 and x means multiplication so 19 times 24 = 456.
Simplify this please: ^4√y^20
Answer: y^5
Step-by-step explanation:
In the picture
Help help please please
Answer:
165km
Step-by-step explanation:
if 1cm on the map = 15km,
then since 11cm is 11x 1, we multiply the kilometers by 11, getting 165km.
In one season a basketball player missed 45% of her free throws. How many free throws did she attempt if she made 176 free throws?
Step-by-step explanation:
she missed 45%, so that means she made 55% of her free throws.
and these 55% correlate to the absolute number of 176 successful throws.
so,
55% = 176
1% = 55%/55 = 176/55
100% = 1%×100 = 176×100/55 = 320
so, she attempted 320 free throws in total.
Im stuck on this anyone know it?
Answer:
The first one is correct
Step-by-step explanation:
Find the difference. Simplify the
answer if possible.
15 9/15 - 11 1/3
A) 26 10/18
B) 4 4/15
C) -4 4/15
D) 4 8/12
D
Step-by-step explanation:
you subtract 15 and 11 = 4 then subtract 9-1 is 8 and then you find the common denominator
Rhombus PQRS with vertices P(-1,-3), Q(3,-4), R(4,-8) and S(0,-7)
A)Translation along the vector (4,10)
B) 90 (degrees) counterclockwise rotation about the origin.
NEED HELP ASAP WILL GIVE BRAINLIEST
Find the quotient: 11.28 divided by 4.7
Answer:
11.28 Divided by 4.7 equals 2.4.
Step-by-step explanation:
It's just simple division. Glad I could help though!
Answer:
2.4
Step-by-step explanation:
what is the most you would pay today for a promise to repay you $6,000 at the end of 6 years if your opportunity is 12%
Answer:
i need 9it
Step-by-step explanation:
ndbwsjl
At a comic book convention vendor I was selling a set of 5 comics for $38.70.
Vendor 2 was selling a set of 4 comics for $30.76. Which vendor has the higher
unit price?
Answer:
Vendor I sells more by 0.05
Step-by-step explanation:
First, you do Vendor I, divide 38.70/5, which gives you $7.74.
Then, you go to Vendor 2, divide 30.76/4 and that makes the answer $7.69.
7.74 - 7.69 = 0.05
Vendor 1 has more then Vendor 2 by 5 cents.
Suzy can type 85 words in 2 minutes. How many minutes will it take her to type her to type 500 word paper?
Answer:
11,765
Step-by-step explanation: 1 word make up 0,024 minute so 500 words 500.0,024 = 11,765 minutes
P Simplify using
E
order of operations.
MD
AS
14 + 6 x 2 - 16 : 8
-
Enter
math
Answer:
Answer’s 43
Step-by-step explanation:
6+3=9
7(9)-4x5
63-4x5
63-20
Answer: 43