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help-1
8592a2e58c01476ca5721e30f91b1ede
414,557,649,045,159,940
Somalian Space Pirate
01/23/2022 10:27:15
I think my teacher just gave us a matrix with random numbers as an example of a question we might get tomorrow
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8592a2e58c01476ca5721e30f91b1ede
414,557,649,045,159,940
Somalian Space Pirate
01/23/2022 10:27:27
That's the most logical reason it's a bad solution
1
0
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help-1
8592a2e58c01476ca5721e30f91b1ede
321,445,119,171,756,000
Shuri2060
01/23/2022 10:27:30
#linear-algebra you can try here
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help-1
8592a2e58c01476ca5721e30f91b1ede
414,557,649,045,159,940
Somalian Space Pirate
01/23/2022 10:29:09
Anyways, thanks for the attempt lol
1
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help-1
8592a2e58c01476ca5721e30f91b1ede
414,557,649,045,159,940
Somalian Space Pirate
01/23/2022 10:29:15
Mystery uncovered
1
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help-1
8592a2e58c01476ca5721e30f91b1ede
414,557,649,045,159,940
Somalian Space Pirate
01/23/2022 10:29:18
.close
1
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help-1
8c995228b1694d88803af25a351f0a9d
638,437,422,807,384,000
du
01/23/2022 10:32:41
In a geometric sequence, the second term is equal to the square of the fifth term. The third term is 32. How many terms should be taken starting from rhe first term for the sum to be 255 1/2
1
0
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205,607
help-1
8c995228b1694d88803af25a351f0a9d
909,773,741,196,730,400
bayka
01/23/2022 10:32:54
thanks!
0
1
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help-1
8c995228b1694d88803af25a351f0a9d
348,696,743,388,381,200
A Lonely Bean
01/23/2022 10:40:08
So let's say $b_n$ is the sequence and since it's geometric one we can express every term as $b_1q^{n - 1}$, since second term is square of the fifth term we say that $b_2 = b_5^2$, which is equivalent to $b_1q = (b_1q^4)^2$, so $b_1q = b_1^2q^8$. $b_1$ can't be zero (because then every term would basically be 0, contr...
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205,607
help-1
8c995228b1694d88803af25a351f0a9d
510,789,298,321,096,700
TeXit
01/23/2022 10:40:42
**Beans**
https://cdn.discordapp.c…743388381195.png
348696743388381195.png
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help-1
8c995228b1694d88803af25a351f0a9d
348,696,743,388,381,200
A Lonely Bean
01/23/2022 10:41:32
We can now also use the fact that the third term ($b_1q^2$) is equal to $32$, so $1 = b_1q^7 = b_1q^2q^5 = 32q^5$
0
1
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null
null
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205,607
help-1
8c995228b1694d88803af25a351f0a9d
510,789,298,321,096,700
TeXit
01/23/2022 10:41:35
**Beans**
https://cdn.discordapp.c…743388381195.png
348696743388381195.png
0
1
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null
null
null
null
205,607
help-1
8c995228b1694d88803af25a351f0a9d
348,696,743,388,381,200
A Lonely Bean
01/23/2022 10:41:48
$1 = (2q)^5$
0
1
null
null
null
null
null
205,607
help-1
8c995228b1694d88803af25a351f0a9d
510,789,298,321,096,700
TeXit
01/23/2022 10:41:51
**Beans**
https://cdn.discordapp.c…743388381195.png
348696743388381195.png
0
1
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null
null
null
null
205,607
help-1
8c995228b1694d88803af25a351f0a9d
348,696,743,388,381,200
A Lonely Bean
01/23/2022 10:42:01
$2q = 1$, $q = \frac{1}{2}$
0
1
null
null
null
null
null
205,607
help-1
8c995228b1694d88803af25a351f0a9d
510,789,298,321,096,700
TeXit
01/23/2022 10:42:04
**Beans**
https://cdn.discordapp.c…743388381195.png
348696743388381195.png
0
1
null
null
null
null
null
205,607
help-1
8c995228b1694d88803af25a351f0a9d
348,696,743,388,381,200
A Lonely Bean
01/23/2022 10:42:42
Now that we know q, we can easily solve for $b_1$ by plugging the value into $b_1q^2 = 32$ equation, so we get $\frac{b_1}{4} = 32$. And $b_1 = 128$
0
1
null
null
null
null
null
205,607
help-1
8c995228b1694d88803af25a351f0a9d
510,789,298,321,096,700
TeXit
01/23/2022 10:43:06
**Beans**
https://cdn.discordapp.c…743388381195.png
348696743388381195.png
0
1
null
null
null
null
null
205,607
help-1
8c995228b1694d88803af25a351f0a9d
348,696,743,388,381,200
A Lonely Bean
01/23/2022 10:45:01
Now, are you familiar with the formula of geometric sum?
0
1
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null
null
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205,607
help-1
8c995228b1694d88803af25a351f0a9d
638,437,422,807,384,000
du
01/23/2022 10:46:21
No
1
0
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null
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205,607
help-1
8c995228b1694d88803af25a351f0a9d
348,696,743,388,381,200
A Lonely Bean
01/23/2022 10:49:24
I don't think you'd be given this problem without that formula but here it is
0
1
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null
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205,607
help-1
8c995228b1694d88803af25a351f0a9d
348,696,743,388,381,200
A Lonely Bean
01/23/2022 10:49:54
$S_n = b_1\frac{1 - q^n}{1 - q}$
0
1
null
null
null
null
null
205,607
help-1
8c995228b1694d88803af25a351f0a9d
510,789,298,321,096,700
TeXit
01/23/2022 10:49:57
**Beans**
https://cdn.discordapp.c…743388381195.png
348696743388381195.png
0
1
null
null
null
null
null
205,607
help-1
8c995228b1694d88803af25a351f0a9d
348,696,743,388,381,200
A Lonely Bean
01/23/2022 10:50:23
So we now have to set this equal to 255.5
0
1
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null
null
null
null
205,607
help-1
8c995228b1694d88803af25a351f0a9d
348,696,743,388,381,200
A Lonely Bean
01/23/2022 10:50:33
And also plug in the value of q and b_1
0
1
null
null
null
null
null
205,607
help-1
8c995228b1694d88803af25a351f0a9d
348,696,743,388,381,200
A Lonely Bean
01/23/2022 10:50:55
So we have $128\frac{1 - \frac{1}{2^n}}{1 - \frac{1}{2}} = 255.5$
0
1
null
null
null
null
null
205,607
help-1
8c995228b1694d88803af25a351f0a9d
510,789,298,321,096,700
TeXit
01/23/2022 10:51:11
**Beans**
https://cdn.discordapp.c…743388381195.png
348696743388381195.png
0
1
null
null
null
null
null
205,607
help-1
8c995228b1694d88803af25a351f0a9d
348,696,743,388,381,200
A Lonely Bean
01/23/2022 10:51:50
1 - 1/2 is just 1/2
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205,607
help-1
8c995228b1694d88803af25a351f0a9d
348,696,743,388,381,200
A Lonely Bean
01/23/2022 10:52:41
$128\frac{1 - \frac{1}{2^n}}{\frac{1}{2}} = 256(1 - \frac{1}{2^n}) = 255.5$
0
1
null
null
null
null
null
205,607
help-1
8c995228b1694d88803af25a351f0a9d
510,789,298,321,096,700
TeXit
01/23/2022 10:52:44
**Beans**
https://cdn.discordapp.c…743388381195.png
348696743388381195.png
0
1
null
null
null
null
null
205,607
help-1
8c995228b1694d88803af25a351f0a9d
348,696,743,388,381,200
A Lonely Bean
01/23/2022 10:53:14
$1 - \frac{1}{2^n} = \frac{256 - 0.5}{256}$
0
1
null
null
null
null
null
205,607
help-1
8c995228b1694d88803af25a351f0a9d
510,789,298,321,096,700
TeXit
01/23/2022 10:53:16
**Beans**
https://cdn.discordapp.c…743388381195.png
348696743388381195.png
0
1
null
null
null
null
null
205,607
help-1
8c995228b1694d88803af25a351f0a9d
348,696,743,388,381,200
A Lonely Bean
01/23/2022 10:53:21
(here I rewrote 255.5)
0
1
null
null
null
null
null
205,607
help-1
8c995228b1694d88803af25a351f0a9d
348,696,743,388,381,200
A Lonely Bean
01/23/2022 10:53:58
$1 - \frac{1}{2^n} = 1 - \frac{0.5}{256}$, $\frac{1}{2^n} = \frac{0.5}{256}$
0
1
null
null
null
null
null
205,607
help-1
8c995228b1694d88803af25a351f0a9d
510,789,298,321,096,700
TeXit
01/23/2022 10:54:00
**Beans**
https://cdn.discordapp.c…743388381195.png
348696743388381195.png
0
1
null
null
null
null
null
205,607
help-1
8c995228b1694d88803af25a351f0a9d
348,696,743,388,381,200
A Lonely Bean
01/23/2022 10:54:11
$2^n = 2\cdot{256}$
0
1
null
null
null
null
null
205,607
help-1
8c995228b1694d88803af25a351f0a9d
510,789,298,321,096,700
TeXit
01/23/2022 10:54:14
**Beans**
https://cdn.discordapp.c…743388381195.png
348696743388381195.png
0
1
null
null
null
null
null
205,607
help-1
8c995228b1694d88803af25a351f0a9d
348,696,743,388,381,200
A Lonely Bean
01/23/2022 10:54:33
$2^n = 512 = 2^9$
0
1
null
null
null
null
null
205,607
help-1
8c995228b1694d88803af25a351f0a9d
348,696,743,388,381,200
A Lonely Bean
01/23/2022 10:54:35
So n = 9
0
1
null
null
null
null
null
205,607
help-1
8c995228b1694d88803af25a351f0a9d
510,789,298,321,096,700
TeXit
01/23/2022 10:54:36
**Beans**
https://cdn.discordapp.c…743388381195.png
348696743388381195.png
0
1
null
null
null
null
null
205,607
help-1
8c995228b1694d88803af25a351f0a9d
348,696,743,388,381,200
A Lonely Bean
01/23/2022 10:54:53
So 9 terms should be taken for the sum to be 255.5
0
1
null
null
null
null
null
205,608
help-1
98a25d598bcd44e69934b93a11f3dded
504,278,422,521,118,700
kasperky
01/23/2022 11:21:16
hello
1
0
null
null
null
null
null
205,608
help-1
98a25d598bcd44e69934b93a11f3dded
504,278,422,521,118,700
kasperky
01/23/2022 11:25:35
how to calculate this?
1
0
null
null
null
null
null
205,608
help-1
98a25d598bcd44e69934b93a11f3dded
504,278,422,521,118,700
kasperky
01/23/2022 11:25:37
https://cdn.discordapp.c…2424/unknown.png
unknown.png
1
0
null
null
null
null
null
205,608
help-1
98a25d598bcd44e69934b93a11f3dded
504,278,422,521,118,700
kasperky
01/23/2022 11:26:05
Trying to solve A and B
1
0
null
null
null
null
null
205,608
help-1
98a25d598bcd44e69934b93a11f3dded
348,696,743,388,381,200
A Lonely Bean
01/23/2022 11:27:01
What have you tried so far?
0
1
null
null
null
null
null
205,608
help-1
98a25d598bcd44e69934b93a11f3dded
504,278,422,521,118,700
kasperky
01/23/2022 11:27:33
$y(1)=A*1^2+B*1?3=3$
1
0
null
null
null
null
null
205,608
help-1
98a25d598bcd44e69934b93a11f3dded
510,789,298,321,096,700
TeXit
01/23/2022 11:27:36
**cakeee**
https://cdn.discordapp.c…422521118721.png
504278422521118721.png
0
1
null
null
null
null
null
205,608
help-1
98a25d598bcd44e69934b93a11f3dded
485,903,210,272,391,200
dldh06
01/23/2022 11:27:39
If you plug in each point, you'll end up with two equations, two unknowns
0
1
null
null
null
null
null
205,608
help-1
98a25d598bcd44e69934b93a11f3dded
348,696,743,388,381,200
A Lonely Bean
01/23/2022 11:27:57
I hope you meant A + B + 3 = 3 there
0
1
null
null
null
null
null
205,608
help-1
98a25d598bcd44e69934b93a11f3dded
348,696,743,388,381,200
A Lonely Bean
01/23/2022 11:28:14
Which implies that A + B = 0
0
1
null
null
null
null
null
205,608
help-1
98a25d598bcd44e69934b93a11f3dded
504,278,422,521,118,700
kasperky
01/23/2022 11:28:23
y(-1)=A*(.1)^2+B*(-1)+3=9
1
0
null
null
null
null
null
205,608
help-1
98a25d598bcd44e69934b93a11f3dded
348,696,743,388,381,200
A Lonely Bean
01/23/2022 11:28:25
Now do the same with the other equation, as dldh06 said
0
1
null
null
null
null
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205,608
help-1
98a25d598bcd44e69934b93a11f3dded
348,696,743,388,381,200
A Lonely Bean
01/23/2022 11:28:43
Yeah so you get A - B = 6
0
1
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null
null
null
null
205,608
help-1
98a25d598bcd44e69934b93a11f3dded
504,278,422,521,118,700
kasperky
01/23/2022 11:28:50
A+B=0 and A-B=6
1
0
null
null
null
null
null
205,608
help-1
98a25d598bcd44e69934b93a11f3dded
504,278,422,521,118,700
kasperky
01/23/2022 11:28:52
Yep
1
0
null
null
null
null
null
205,608
help-1
98a25d598bcd44e69934b93a11f3dded
348,696,743,388,381,200
A Lonely Bean
01/23/2022 11:28:56
This is just a set of 2 linear equations in A and B
0
1
null
null
null
null
null
205,608
help-1
98a25d598bcd44e69934b93a11f3dded
504,278,422,521,118,700
kasperky
01/23/2022 11:28:58
And now what?
1
0
706,934,233,012,371,600
Ansh_
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Arya
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205,608
help-1
98a25d598bcd44e69934b93a11f3dded
348,696,743,388,381,200
A Lonely Bean
01/23/2022 11:29:01
Should be easy to solve
0
1
null
null
null
null
null
205,608
help-1
98a25d598bcd44e69934b93a11f3dded
348,696,743,388,381,200
A Lonely Bean
01/23/2022 11:29:11
By summing the equations
0
1
null
null
null
null
null
205,608
help-1
98a25d598bcd44e69934b93a11f3dded
348,696,743,388,381,200
A Lonely Bean
01/23/2022 11:29:15
That's what you could do
0
1
null
null
null
null
null
205,608
help-1
98a25d598bcd44e69934b93a11f3dded
504,278,422,521,118,700
kasperky
01/23/2022 11:29:31
Can you show?
1
0
null
null
null
null
null
205,608
help-1
98a25d598bcd44e69934b93a11f3dded
348,696,743,388,381,200
A Lonely Bean
01/23/2022 11:30:02
A + B = 0 A - B = 6 (A + B) + (A - B) = 0 + 6
0
1
null
null
null
null
null
205,608
help-1
98a25d598bcd44e69934b93a11f3dded
485,903,210,272,391,200
dldh06
01/23/2022 11:30:06
You can do either elimination or substitution
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205,608
help-1
98a25d598bcd44e69934b93a11f3dded
348,696,743,388,381,200
A Lonely Bean
01/23/2022 11:30:32
I don't think you'd be given this problem if you can't solve a set of linear equations :thonk:
0
1
null
null
null
null
null
205,608
help-1
98a25d598bcd44e69934b93a11f3dded
504,278,422,521,118,700
kasperky
01/23/2022 11:34:12
A=3, B=-3
1
0
null
null
null
null
null
205,608
help-1
98a25d598bcd44e69934b93a11f3dded
504,278,422,521,118,700
kasperky
01/23/2022 11:34:16
Yeah 😄
1
0
null
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null
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205,608
help-1
98a25d598bcd44e69934b93a11f3dded
504,278,422,521,118,700
kasperky
01/23/2022 11:34:18
Thanks
1
0
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null
null
null
null
205,609
help-1
49034a9025834c70bdb827ff2bf2cb18
753,933,776,018,604,000
dumpling
12/22/2021 02:28:58
https://cdn.discordapp.c…7272/unknown.png
unknown.png
1
0
null
null
null
null
null
205,609
help-1
49034a9025834c70bdb827ff2bf2cb18
753,933,776,018,604,000
dumpling
12/22/2021 02:29:06
hi could someone explain this part
1
0
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null
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205,609
help-1
49034a9025834c70bdb827ff2bf2cb18
799,900,545,384,316,900
Harshit Chitkara
12/22/2021 02:55:42
https://cdn.discordapp.c…1288/unknown.png
unknown.png
0
1
null
null
null
null
null
205,609
help-1
49034a9025834c70bdb827ff2bf2cb18
799,900,545,384,316,900
Harshit Chitkara
12/22/2021 02:55:45
https://cdn.discordapp.c…0922/unknown.png
unknown.png
0
1
null
null
null
null
null
205,609
help-1
49034a9025834c70bdb827ff2bf2cb18
799,900,545,384,316,900
Harshit Chitkara
12/22/2021 02:55:53
can somebody help me with these
0
1
null
null
null
null
null
205,609
help-1
49034a9025834c70bdb827ff2bf2cb18
799,900,545,384,316,900
Harshit Chitkara
12/22/2021 02:56:00
it would be a gr8 help
0
1
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null
null
null
null
205,609
help-1
49034a9025834c70bdb827ff2bf2cb18
799,900,545,384,316,900
Harshit Chitkara
12/22/2021 02:56:12
and this
https://cdn.discordapp.c…8810/unknown.png
unknown.png
0
1
null
null
null
null
null
205,609
help-1
49034a9025834c70bdb827ff2bf2cb18
753,933,776,018,604,000
dumpling
12/22/2021 02:56:56
this channel is still occupied.
1
0
null
null
null
null
null
205,609
help-1
49034a9025834c70bdb827ff2bf2cb18
753,933,776,018,604,000
dumpling
12/22/2021 02:57:00
^
https://cdn.discordapp.c…7322/unknown.png
unknown.png
1
0
null
null
null
null
null
205,609
help-1
49034a9025834c70bdb827ff2bf2cb18
197,677,205,382,365,200
.nai
12/22/2021 03:07:18
You are told that m is a constant. For that to be true you need make it independant of n. In your case, the terms that are dependant on n is the 3^{3n}/3^{nk}. So you find value for k such that that term (refering to the 3^blabla) never changes which implies that m would never change. You solve 3n-nk=0 and find a value...
0
1
null
null
null
null
null
205,609
help-1
49034a9025834c70bdb827ff2bf2cb18
197,677,205,382,365,200
.nai
12/22/2021 03:09:34
I should mention that you find values when 3^{3n}/3^{nk}=1 because 1m is equal to that expression above (the one after if in first row)
0
1
null
null
null
null
null
205,610
help-1
f31eba03b81d4711bacaf57e894ddc41
705,960,295,809,417,300
not a robot
01/23/2022 11:57:13
Here is a right triangle with 3 sectors at each vertex. How is it that the angle of sector 2 is pi/2 - theta ? I can't figure that out
https://cdn.discordapp.c…20123_085445.jpg
20220123_085445.jpg
1
0
396,018,393,452,642,300
Wumpie
8322
Wumpie
false
205,610
help-1
f31eba03b81d4711bacaf57e894ddc41
348,696,743,388,381,200
A Lonely Bean
01/23/2022 11:58:23
What's theta? Is it angle of sector 1?
0
1
328,019,240,898,789,400
dino dik
9674
dino
false
205,610
help-1
f31eba03b81d4711bacaf57e894ddc41
348,696,743,388,381,200
A Lonely Bean
01/23/2022 11:59:07
If so, then yes, the angle of sector 2 must be pi/2 - theta because sum of acute angles in a right triangle is always pi/2
0
1
null
null
null
null
null
205,610
help-1
f31eba03b81d4711bacaf57e894ddc41
705,960,295,809,417,300
not a robot
01/23/2022 11:59:39
ohhh i see
1
0
null
null
null
null
null
205,610
help-1
f31eba03b81d4711bacaf57e894ddc41
705,960,295,809,417,300
not a robot
01/23/2022 11:59:46
thanks
1
0
null
null
null
null
null
205,610
help-1
f31eba03b81d4711bacaf57e894ddc41
705,960,295,809,417,300
not a robot
01/23/2022 11:59:59
.close
1
0
null
null
null
null
null
205,611
help-1
232c5ac5ac29477c9cd00cb045a01900
806,268,973,100,433,500
lebedevhh
01/23/2022 12:08:34
$$\frac{3}{2}$$
1
0
null
null
null
null
null
205,611
help-1
232c5ac5ac29477c9cd00cb045a01900
510,789,298,321,096,700
TeXit
01/23/2022 12:08:37
**𝓁𝑒𝒷𝑒𝒹𝑒𝓋𝒽𝒽⸕**
https://cdn.discordapp.c…973100433499.png
806268973100433499.png
0
1
null
null
null
null
null
205,611
help-1
232c5ac5ac29477c9cd00cb045a01900
348,696,743,388,381,200
A Lonely Bean
01/23/2022 12:10:56
Post the question if you have one
0
1
null
null
null
null
null
205,611
help-1
232c5ac5ac29477c9cd00cb045a01900
348,696,743,388,381,200
A Lonely Bean
01/23/2022 12:11:18
If you want to practice LaTeX, consider visiting #latex-testing
0
1
null
null
null
null
null
205,612
help-1
671abcf34d9c4b71a202ebbc6ac72792
456,226,577,798,135,800
Deleted User
01/23/2022 12:31:31
https://cdn.discordapp.c…719976/image.png
image.png
1
0
null
null
null
null
null
205,612
help-1
671abcf34d9c4b71a202ebbc6ac72792
456,226,577,798,135,800
Deleted User
01/23/2022 12:32:23
Anyone?
1
0
null
null
null
null
null
205,612
help-1
671abcf34d9c4b71a202ebbc6ac72792
456,226,577,798,135,800
Deleted User
01/23/2022 12:44:24
https://cdn.discordapp.c…626655/image.png
image.png
1
0
null
null
null
null
null
205,612
help-1
671abcf34d9c4b71a202ebbc6ac72792
456,226,577,798,135,800
Deleted User
01/23/2022 12:46:03
How is v1=v2
1
0
null
null
null
null
null
205,613
help-1
f935180b041e4129a89572ad1e820584
535,142,622,113,562,600
Singularity2024
01/23/2022 14:15:11
In mechanics do i take gravity as -9.81 or 9.81 and if so if the calculation also includes s do i take a downwards displacement as negative for example using s=ut +1/2at<squared> i got a quadratic with no real roots as ended up with the equation 4.905t<squared>+6.4(height in the question)
1
0
null
null
null
null
null
205,613
help-1
f935180b041e4129a89572ad1e820584
321,445,119,171,756,000
Shuri2060
01/23/2022 14:17:00
all depends on context I think
0
1
null
null
null
null
null
205,613
help-1
f935180b041e4129a89572ad1e820584
321,445,119,171,756,000
Shuri2060
01/23/2022 14:17:12
if ur measuring height from the ground upwards
0
1
null
null
null
null
null
205,613
help-1
f935180b041e4129a89572ad1e820584
321,445,119,171,756,000
Shuri2060
01/23/2022 14:17:22
then clearly gravitational acceleration is negative
0
1
null
null
null
null
null
205,613
help-1
f935180b041e4129a89572ad1e820584
328,662,734,008,746,000
Geopchad
01/23/2022 14:17:38
yeah gravitational acceleration pulls the object down
0
1
null
null
null
null
null
205,613
help-1
f935180b041e4129a89572ad1e820584
328,662,734,008,746,000
Geopchad
01/23/2022 14:17:43
so it would be negative like shuri said
0
1
null
null
null
null
null
205,613
help-1
f935180b041e4129a89572ad1e820584
328,662,734,008,746,000
Geopchad
01/23/2022 14:18:06
but if you are dealing with like circular motion then it would be accelerating towards the center of the circle
0
1
null
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