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help-10
187bdbb3c0e1456da83e633c17c322e3
665,511,201,928,773,600
b0a
03/14/2022 16:40:06
How would you draw the point of, on a graph, something like.. Y is bigger than or equal to -2 × > 3 Y > 3x + 1
1
0
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1,249
help-10
187bdbb3c0e1456da83e633c17c322e3
193,942,262,336,454,660
KurtDee
03/14/2022 16:44:15
It’s not a point l
0
1
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null
null
null
1,249
help-10
187bdbb3c0e1456da83e633c17c322e3
193,942,262,336,454,660
KurtDee
03/14/2022 16:44:17
It’s an area
0
1
null
null
null
null
null
1,249
help-10
187bdbb3c0e1456da83e633c17c322e3
193,942,262,336,454,660
KurtDee
03/14/2022 16:44:25
Draw a line and shade the inequality
0
1
null
null
null
null
null
1,249
help-10
187bdbb3c0e1456da83e633c17c322e3
392,341,051,794,391,040
Navix
03/14/2022 16:46:34
Also, because x > 3 and y > 3x + 1, you automatically get y > 10, which makes the y >= -2 condition redundant
0
1
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1,249
help-10
187bdbb3c0e1456da83e633c17c322e3
665,511,201,928,773,600
b0a
03/14/2022 16:56:38
I'm confused lol
1
0
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null
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1,249
help-10
187bdbb3c0e1456da83e633c17c322e3
665,511,201,928,773,600
b0a
03/14/2022 16:56:49
I think I get it nvm
1
0
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1,250
help-10
638ebe68a32a4d3e9eb8221005250368
403,868,346,455,556,100
ChuFta
03/14/2022 17:15:37
Find solutions for 11x+7y=200 in set of natural numbers, i got: (x,y)=(400+7k,-600-11k);keZ but how do i make it be in set of natural numbers
1
0
null
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null
null
null
1,250
help-10
638ebe68a32a4d3e9eb8221005250368
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 17:23:48
11 and 7 are coprime
0
1
null
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null
null
null
1,250
help-10
638ebe68a32a4d3e9eb8221005250368
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 17:24:00
There is a result about solutions of ax+by=c where a and b are relatively prime
0
1
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null
1,250
help-10
638ebe68a32a4d3e9eb8221005250368
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 17:24:07
if you find one solution (x_0,y_0) then all solutions are (x_0+bt,y_0-at) for all integers t. Use this
0
1
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null
1,250
help-10
638ebe68a32a4d3e9eb8221005250368
403,868,346,455,556,100
ChuFta
03/14/2022 17:24:11
yes
1
0
null
null
null
null
null
1,250
help-10
638ebe68a32a4d3e9eb8221005250368
403,868,346,455,556,100
ChuFta
03/14/2022 17:24:13
i did that
1
0
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null
null
null
null
1,250
help-10
638ebe68a32a4d3e9eb8221005250368
403,868,346,455,556,100
ChuFta
03/14/2022 17:24:25
but for just natural numbers/ whole numbers >0
1
0
null
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null
null
1,250
help-10
638ebe68a32a4d3e9eb8221005250368
403,868,346,455,556,100
ChuFta
03/14/2022 17:24:28
i tried this
1
0
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1,250
help-10
638ebe68a32a4d3e9eb8221005250368
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 17:24:31
Just solve range of t then
0
1
null
null
null
null
null
1,250
help-10
638ebe68a32a4d3e9eb8221005250368
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 17:24:36
k
0
1
null
null
null
null
null
1,250
help-10
638ebe68a32a4d3e9eb8221005250368
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 17:24:39
You used k
0
1
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null
null
null
null
1,250
help-10
638ebe68a32a4d3e9eb8221005250368
403,868,346,455,556,100
ChuFta
03/14/2022 17:25:08
400+7k>0 => k>-57 -600-11k>0 => k<-54 k e {-56,-55}
1
0
null
null
null
null
null
1,250
help-10
638ebe68a32a4d3e9eb8221005250368
403,868,346,455,556,100
ChuFta
03/14/2022 17:25:12
is that correct
1
0
null
null
null
null
null
1,250
help-10
638ebe68a32a4d3e9eb8221005250368
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 17:25:15
400+k>=0,-600-11k>=0
0
1
null
null
null
null
null
1,250
help-10
638ebe68a32a4d3e9eb8221005250368
403,868,346,455,556,100
ChuFta
03/14/2022 17:25:27
no just >0
1
0
null
null
null
null
null
1,250
help-10
638ebe68a32a4d3e9eb8221005250368
403,868,346,455,556,100
ChuFta
03/14/2022 17:25:32
0 isnt a natural number
1
0
392,341,051,794,391,040
Navix
0001
nvx
false
1,250
help-10
638ebe68a32a4d3e9eb8221005250368
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 17:25:59
I see, so 0 isn’t in your version
0
1
null
null
null
null
null
1,250
help-10
638ebe68a32a4d3e9eb8221005250368
403,868,346,455,556,100
ChuFta
03/14/2022 17:26:13
wdym my version?
1
0
null
null
null
null
null
1,250
help-10
638ebe68a32a4d3e9eb8221005250368
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 17:26:42
Wrong, k>=-57
0
1
null
null
null
null
null
1,250
help-10
638ebe68a32a4d3e9eb8221005250368
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 17:27:13
k>-57,1428… right? So k>=-57
0
1
null
null
null
null
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1,250
help-10
638ebe68a32a4d3e9eb8221005250368
403,868,346,455,556,100
ChuFta
03/14/2022 17:27:41
oh yes correct, i tought that it was -7k my bad
1
0
null
null
null
null
null
1,250
help-10
638ebe68a32a4d3e9eb8221005250368
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 17:27:51
So -57,-56,-55
0
1
null
null
null
null
null
1,250
help-10
638ebe68a32a4d3e9eb8221005250368
403,868,346,455,556,100
ChuFta
03/14/2022 17:27:51
so that it would be negative
1
0
null
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1,250
help-10
638ebe68a32a4d3e9eb8221005250368
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 17:27:58
Yeah negative
0
1
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null
null
null
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1,250
help-10
638ebe68a32a4d3e9eb8221005250368
403,868,346,455,556,100
ChuFta
03/14/2022 17:28:18
thanks
1
0
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1,250
help-10
638ebe68a32a4d3e9eb8221005250368
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 17:30:37
Np
0
1
null
null
null
null
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1,250
help-10
638ebe68a32a4d3e9eb8221005250368
403,868,346,455,556,100
ChuFta
03/14/2022 17:33:17
could you also help me with this (4x+10y)(8x+7y)=86, i have no idea how to do it
1
0
null
null
null
null
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1,250
help-10
638ebe68a32a4d3e9eb8221005250368
403,868,346,455,556,100
ChuFta
03/14/2022 17:33:40
i can only think of writing 86 as a product of whole numbers
1
0
null
null
null
null
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1,250
help-10
638ebe68a32a4d3e9eb8221005250368
403,868,346,455,556,100
ChuFta
03/14/2022 17:34:12
but thats too much work, there has to be a "smarter" way to do it
1
0
null
null
null
null
null
1,250
help-10
638ebe68a32a4d3e9eb8221005250368
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 17:38:07
Thought the same
0
1
null
null
null
null
null
1,250
help-10
638ebe68a32a4d3e9eb8221005250368
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 17:39:00
But don’t worry for each linear system there will be only one solution (x,y)
0
1
null
null
null
null
null
1,250
help-10
638ebe68a32a4d3e9eb8221005250368
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 17:39:25
Because (4 10 8 7) is invertible
0
1
null
null
null
null
null
1,250
help-10
638ebe68a32a4d3e9eb8221005250368
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 17:39:46
But yeah.,, still so much work😂
0
1
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1,250
help-10
638ebe68a32a4d3e9eb8221005250368
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 17:42:19
So 4 solutions
0
1
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null
null
null
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1,250
help-10
638ebe68a32a4d3e9eb8221005250368
403,868,346,455,556,100
ChuFta
03/14/2022 17:47:27
i solved it, you get 8 systems of equations but since its a diophantine equation only 2 valid solutions, rest arent integers
1
0
null
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null
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1,250
help-10
638ebe68a32a4d3e9eb8221005250368
403,868,346,455,556,100
ChuFta
03/14/2022 17:48:03
https://cdn.discordapp.c…3710/unknown.png
unknown.png
1
0
403,868,346,455,556,100
ChuFta
9335
ChuFta
false
1,250
help-10
638ebe68a32a4d3e9eb8221005250368
403,868,346,455,556,100
ChuFta
03/14/2022 17:48:05
i wrote it in paint
1
0
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1,251
help-10
28f1be460e6440f89794a268c828eb48
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 18:26:50
You know sum of C(n,k) k from 0 to n is 2^n right?
1
0
null
null
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null
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1,251
help-10
28f1be460e6440f89794a268c828eb48
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 18:27:11
The first equation, the left hand side, is half of the total sum
1
0
null
null
null
null
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1,251
help-10
28f1be460e6440f89794a268c828eb48
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 18:27:21
2) is trivially just solve it
1
0
null
null
null
null
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1,251
help-10
28f1be460e6440f89794a268c828eb48
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 18:30:49
No
1
0
null
null
null
null
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1,251
help-10
28f1be460e6440f89794a268c828eb48
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 18:30:53
2^26
1
0
null
null
null
null
null
1,251
help-10
28f1be460e6440f89794a268c828eb48
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 18:31:20
(1+x)^n=ΣC(n,k)x^k we just let x=1
1
0
null
null
null
null
null
1,251
help-10
28f1be460e6440f89794a268c828eb48
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 18:33:21
Yeah
1
0
null
null
null
null
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1,251
help-10
28f1be460e6440f89794a268c828eb48
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 18:46:27
Just by definition I think, it holds for any c actually
1
0
null
null
null
null
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1,251
help-10
28f1be460e6440f89794a268c828eb48
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 18:51:46
d>=x^2+42-c right
1
0
null
null
null
null
null
1,251
help-10
28f1be460e6440f89794a268c828eb48
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 18:52:12
You can always find such d, no matter what x and c are
1
0
403,868,346,455,556,100
ChuFta
9335
ChuFta
false
1,251
help-10
28f1be460e6440f89794a268c828eb48
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 18:56:01
Make d larger than the right hand side
1
0
null
null
null
null
null
1,251
help-10
28f1be460e6440f89794a268c828eb48
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 18:56:03
Yeah
1
0
null
null
null
null
null
1,251
help-10
28f1be460e6440f89794a268c828eb48
826,318,983,413,366,800
Cogwheels of the mind
03/14/2022 19:01:23
👍
1
0
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1,252
help-10
c5be3166bd4246d2a5b9469e1ff60802
268,789,506,663,120,900
verιғιed 𝓒𝓸м𝓫Ø
03/14/2022 19:43:30
Just wanted to check my method and answer
https://cdn.discordapp.c…6680/unknown.png
unknown.png
1
0
null
null
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null
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1,252
help-10
c5be3166bd4246d2a5b9469e1ff60802
268,789,506,663,120,900
verιғιed 𝓒𝓸м𝓫Ø
03/14/2022 19:43:45
I've calculated the perpendicular distance to be 4sin(3) x 80N
1
0
null
null
null
null
null
1,252
help-10
c5be3166bd4246d2a5b9469e1ff60802
268,789,506,663,120,900
verιғιed 𝓒𝓸м𝓫Ø
03/14/2022 19:44:04
and the other force should just be x100N
1
0
null
null
null
null
null
1,252
help-10
c5be3166bd4246d2a5b9469e1ff60802
268,789,506,663,120,900
verιғιed 𝓒𝓸м𝓫Ø
03/14/2022 19:44:20
and equating the two together
1
0
null
null
null
null
null
1,252
help-10
c5be3166bd4246d2a5b9469e1ff60802
268,789,506,663,120,900
verιғιed 𝓒𝓸м𝓫Ø
03/14/2022 19:44:24
I have x = 1.6
1
0
null
null
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null
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1,252
help-10
c5be3166bd4246d2a5b9469e1ff60802
268,789,506,663,120,900
verιғιed 𝓒𝓸м𝓫Ø
03/14/2022 19:44:53
am I missing something?, and also which distance have I just calculated?, the distance from wall to x or from x to the point at the end of the rod
1
0
null
null
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null
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1,252
help-10
c5be3166bd4246d2a5b9469e1ff60802
268,789,506,663,120,900
verιғιed 𝓒𝓸м𝓫Ø
03/14/2022 19:47:28
seems to simple to be true 🚟
1
0
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null
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1,252
help-10
c5be3166bd4246d2a5b9469e1ff60802
356,908,116,429,897,700
Kaynex
03/14/2022 19:52:10
Perpendicular distance? Perpendicular to what?
0
1
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1,252
help-10
c5be3166bd4246d2a5b9469e1ff60802
356,908,116,429,897,700
Kaynex
03/14/2022 19:52:19
There's an N in your distance
0
1
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null
null
null
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1,252
help-10
c5be3166bd4246d2a5b9469e1ff60802
356,908,116,429,897,700
Kaynex
03/14/2022 19:56:11
You are confused about whether your equation represents a force, or a distance. 4sin(30) is the height of the wall section, why are we multiplying that by 80N?
0
1
null
null
null
null
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1,252
help-10
c5be3166bd4246d2a5b9469e1ff60802
356,908,116,429,897,700
Kaynex
03/14/2022 19:57:17
Wait, no it isn't even that. What is 4sin(30) here?
0
1
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1,252
help-10
c5be3166bd4246d2a5b9469e1ff60802
356,908,116,429,897,700
Kaynex
03/14/2022 19:58:16
Make sure to draw an FBD and split it into components
0
1
null
null
null
null
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1,252
help-10
c5be3166bd4246d2a5b9469e1ff60802
268,789,506,663,120,900
verιғιed 𝓒𝓸м𝓫Ø
03/14/2022 20:04:01
Sorry should have clarified
1
0
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1,252
help-10
c5be3166bd4246d2a5b9469e1ff60802
268,789,506,663,120,900
verιғιed 𝓒𝓸м𝓫Ø
03/14/2022 20:04:37
The moment of the tension force is perpendicular distance x force
1
0
null
null
null
null
null
1,252
help-10
c5be3166bd4246d2a5b9469e1ff60802
268,789,506,663,120,900
verιғιed 𝓒𝓸м𝓫Ø
03/14/2022 20:04:53
Distance is 4sin(30) and force is 80N
1
0
null
null
null
null
null
1,252
help-10
c5be3166bd4246d2a5b9469e1ff60802
268,789,506,663,120,900
verιғιed 𝓒𝓸м𝓫Ø
03/14/2022 20:05:53
The 4sin(30) is also the perpendicular distance if you make another triangle
1
0
null
null
null
null
null
1,252
help-10
c5be3166bd4246d2a5b9469e1ff60802
268,789,506,663,120,900
verιғιed 𝓒𝓸м𝓫Ø
03/14/2022 20:06:02
Sorry im on phone but I'll try to draw it
1
0
null
null
null
null
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1,252
help-10
c5be3166bd4246d2a5b9469e1ff60802
268,789,506,663,120,900
verιғιed 𝓒𝓸м𝓫Ø
03/14/2022 20:06:46
https://cdn.discordapp.c…20315-000618.jpg
Screenshot_20220315-000618.jpg
1
0
null
null
null
null
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1,252
help-10
c5be3166bd4246d2a5b9469e1ff60802
356,908,116,429,897,700
Kaynex
03/14/2022 20:08:35
That blue line is 4sin(30) indeed
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c5be3166bd4246d2a5b9469e1ff60802
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verιғιed 𝓒𝓸м𝓫Ø
03/14/2022 20:08:41
Mhm
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c5be3166bd4246d2a5b9469e1ff60802
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verιғιed 𝓒𝓸м𝓫Ø
03/14/2022 20:08:55
Aka, the perpendicular distance to the tension
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Kaynex
03/14/2022 20:18:32
Why is that important?
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Kaynex
03/14/2022 20:19:49
Seeing as gravity acts directly downward, I don't see what you gain from picking a weird frame of reference
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c5be3166bd4246d2a5b9469e1ff60802
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verιғιed 𝓒𝓸м𝓫Ø
03/14/2022 20:21:39
Its about the tension... When I'm resolving forces tension acts anti clockwise while gravity acts clockwise
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c5be3166bd4246d2a5b9469e1ff60802
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verιғιed 𝓒𝓸м𝓫Ø
03/14/2022 20:21:51
And it says they are in equilibrium
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verιғιed 𝓒𝓸м𝓫Ø
03/14/2022 20:22:24
How would you solve it?
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Kaynex
03/14/2022 20:30:43
There's forces holding up the left and right side of the rod. Having the tension of the cable is enough to get the force on the right using an FBD. Then check the moment at the left side.
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nix
03/14/2022 21:28:53
suppose you have n dice. every time you roll all of them, you remove every die that shows a 6. for example, if 2 show up as 6s, you remove them and then roll n-2 dice, etc. (the original problem was with 25 dice) what is the probability that it will take N rolls to eliminate all the dice?
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nix
03/14/2022 21:43:47
i started by just looking at n=2 but i wasnt able to figure out a pattern
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demaw
03/14/2022 21:45:51
well maybe the first step to solving this problem could be observing each individual probability in the first trial/roll. let's say you roll all N dice, with an even 1/6 chance of rolling a six for each individual die. Then the probability of rolling x sixes is equal to the binomial pdf of x, given that p=1/6 and n=N
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demaw
03/14/2022 21:48:08
in the second trial, the probability of rolling x sixes is equal to the binomial pdf of x, given that p=1/6 and n= the amount of dice remaining from the first trial
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demaw
03/14/2022 21:50:25
i can't think of where to go from here though; my method might lead to nowhere. i'm thinking about it
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frownyfrog
03/14/2022 22:03:20
it's that thing where you go in circles
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demaw
03/14/2022 22:03:26
?
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frownyfrog
03/14/2022 22:03:39
what if n = 1
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demaw
03/14/2022 22:04:05
then P=1-(5/6)^N), where N is the amount of trials/rolls
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help-10
ee448639576c4143891f4790ad67b2df
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frownyfrog
03/14/2022 22:04:46
but what is the probability
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ee448639576c4143891f4790ad67b2df
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frownyfrog
03/14/2022 22:04:49
N = 10, n = 1
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demaw
03/14/2022 22:04:58
yea sorry for the confusing variables im tired
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frownyfrog
03/14/2022 22:05:26
it's 5/6 × [same problem with N = 9]
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demaw
03/14/2022 22:05:27
probability is equal to 1-(5/6)^N, N rolls for n=1 die
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frownyfrog
03/14/2022 22:06:30
we're probably not seeing the same problem
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demaw
03/14/2022 22:06:35
how so
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