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#2676 2023-07-11 15:06:50
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 52,745
Re: Compute the solution:
Hi,
1833.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#2677 2023-07-12 14:36:39
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 52,745
Re: Compute the solution:
Hi,
1834.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#2678 2023-07-13 00:06:33
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 52,745
Re: Compute the solution:
Hi,
1835.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#2679 2023-07-13 22:24:41
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 52,745
Re: Compute the solution:
Hi,
1836.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#2680 2023-07-14 14:09:06
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 52,745
Re: Compute the solution:
Hi,
1837.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#2681 2023-07-14 14:09:34
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 52,745
Re: Compute the solution:
Hi,
1837.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#2682 2023-07-15 00:16:52
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 52,745
Re: Compute the solution:
Hi,
1838.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#2683 2023-07-16 00:17:40
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 52,745
Re: Compute the solution:
Hi,
1839.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#2684 2023-07-16 17:54:21
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 52,745
Re: Compute the solution:
Hi,
1840.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#2685 2023-07-17 00:59:40
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 52,745
Re: Compute the solution:
Hi,
1841.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#2686 2023-07-17 21:20:28
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 52,745
Re: Compute the solution:
Hi,
1842.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#2687 2023-07-18 15:55:36
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 52,745
Re: Compute the solution:
Hi,
1843.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#2688 2023-07-19 14:28:30
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 52,745
Re: Compute the solution:
Hi,
1844.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#2689 2023-07-20 01:01:33
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 52,745
Re: Compute the solution:
Hi,
1845.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#2690 2023-07-21 00:16:35
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 52,745
Re: Compute the solution:
Hi,
1846.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#2691 2023-07-22 22:39:28
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 52,745
Re: Compute the solution:
Hi,
1847.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#2692 2023-07-23 16:06:24
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 52,745
Re: Compute the solution:
Hi,
1848.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#2693 2023-07-24 16:13:32
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 52,745
Re: Compute the solution:
Hi,
1849.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#2694 2023-07-25 15:05:58
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 52,745
Re: Compute the solution:
Hi,
1850.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#2695 2023-07-26 14:53:34
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 52,745
Re: Compute the solution:
Hi,
1851.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#2696 2023-07-27 00:06:05
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 52,745
Re: Compute the solution:
Hi,
1852.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#2697 2023-07-27 05:02:11
- cheetahflycello
- Novice
- Registered: 2023-04-19
- Posts: 6
Re: Compute the solution:
For the arithmetic progression problem, let's call the three terms a-d, a, and a+d (where 'd' is the common difference). We know their sum is -6, so we have: (a-d) + a + (a+d) = -6. Simplifying gives us 3a = -6, and therefore, a = -2. Now, let's find the common difference 'd': (-2) + a + (-2+d) = -6. Solving this gives us d = -2. Now we can find the three terms: -2-(-2) = -4, -2, -2+(-2) = -4. So the three terms are -4, -2, and -4.
For the cylindrical jar and leadshots problem, first, let's find the volume of the jar when it's half-full of water. The volume of a cylinder is V = π * r^2 * h, where 'r' is the radius and 'h' is the depth. The radius is half of the diameter, so r = 14 cm / 2 = 7 cm. When half-full, the water level is 20 cm / 2 = 10 cm. So, the volume of water in the jar is V_water = π * 7^2 * 10 = 490π cm³.
After dropping the 300 leadshots, the water level rises by 2.8 cm, so the new depth is 20 cm + 2.8 cm = 22.8 cm. Let's call the diameter of each leadshot 'd'. The volume of one leadshot is V_leadshot = (π * d^3) / 6. The total volume added by the 300 leadshots is 300 * V_leadshot. Since the total volume added equals the increase in water volume (490π cm³), we can set up the equation: 300 * (π * d^3) / 6 = 490π.
Now, we can solve for 'd': 300 * d^3 = 2940. Dividing both sides by 300 gives d^3 = 9.8. Finally, taking the cube root of both sides, we get d ≈ 2.15 cm (rounded to two decimal places).
So, the diameter of each leadshot is approximately 2.15 centimeters.
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#2698 2023-07-27 13:11:32
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 52,745
Re: Compute the solution:
Hi cheetahflycello,
Where are the problems?
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#2699 2023-07-27 15:08:14
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 52,745
Re: Compute the solution:
Hi,
1843.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
Offline
#2700 2023-07-28 14:20:37
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 52,745
Re: Compute the solution:
Hi,
1844.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
Offline