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#6026 2015-09-15 11:39:18

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: 10 second questions

Hi zetafunc and bobbym,

The solution #5499 is correct! Excellent, zetafunc and bobbym!

#5500. For what value of 'x' will the points (x,-1), (2,1), and (4,5) lie on a line?


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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#6027 2015-09-15 11:41:51

zetafunc
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Re: 10 second questions

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#6028 2015-09-15 13:02:42

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: 10 second questions

Hi zetafunc,

The solution #5500 is correct! Excellent!

#5501. A letter is chosen at random from the letters of the word 'ASSASSINATION' . Find the probability that the letter chosen is a
(i) vowel
(ii) consonant


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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#6029 2015-09-15 13:08:00

zetafunc
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Re: 10 second questions

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#6030 2015-09-15 14:27:26

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: 10 second questions

Hi zetafunc,

The solution #5501 is correct! Good work!

#5502. Given sin A = 2/3, find the values of cos A, tan A, and cot A.


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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#6031 2015-09-15 15:52:20

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#6032 2015-09-15 16:04:13

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: 10 second questions

Hi bobbym,

The solutions #5502 (all three parts) are correct! Marvelous, bobbym!

#5503. Find the descriminant of the following quadratic equation :

.


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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#6033 2015-09-15 23:39:48

zetafunc
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Registered: 2014-05-21
Posts: 2,436
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Re: 10 second questions

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#6034 2015-09-16 01:29:44

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#6035 2015-09-16 07:37:31

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: 10 second questions

Hi zetafunc and bobbym,

The solution #5503 is correct! Neat work!
(I have edited a part of the question. Thanks, bobbym!)

#5504. Find the value of 'x' for which the quadratic equation has real and equal roots:

.


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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#6036 2015-09-16 15:11:50

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#6037 2015-09-16 15:31:47

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: 10 second questions

Hi bobbym,

The solution is correct! Good work!

#5505. One year ago, a man was 8 times as old as hs son. Now, his age is equal to the square of his son's age. Find their present ages.


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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#6038 2015-09-16 21:41:07

zetafunc
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Posts: 2,436
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Re: 10 second questions

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#6039 2015-09-17 00:26:56

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#6040 2015-09-17 07:03:10

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: 10 second questions

Hi zetafunc and bobbym,

The soluton #5505 is correct! Good work, zetafunc and bobbym!

#5506. If

, find the value  of
.


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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#6041 2015-09-17 07:19:28

zetafunc
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Registered: 2014-05-21
Posts: 2,436
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Re: 10 second questions

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#6042 2015-09-17 11:28:39

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: 10 second questions

Hi zetafunc,

The solution #5506 is correct! Excellent!

#5507. It

, find the value of
.


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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#6043 2015-09-17 11:32:15

zetafunc
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Registered: 2014-05-21
Posts: 2,436
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Re: 10 second questions

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#6044 2015-09-17 11:55:05

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: 10 second questions

Hi zetafunc,

The solution #5507 is corret! Splendid, zetafunc!

#5508. Solve :

.


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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#6045 2015-09-17 11:57:10

zetafunc
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Posts: 2,436
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Re: 10 second questions

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#6046 2015-09-17 14:23:50

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: 10 second questions

Hi zetafunc,

The solution #5508 is correct! Neat work!

#5509. The difference of the squares of two numbers is 45. The square of the smaller number is 4 times the larger number. Determine the numbers.


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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#6047 2015-09-17 19:53:48

zetafunc
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Registered: 2014-05-21
Posts: 2,436
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Re: 10 second questions

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#6048 2015-09-17 23:14:12

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: 10 second questions

Hi zetafunc,

The solution(s) #5509 is correct! Marvelous!

#5510. The denominator of a fraction is one more than twice the numerator. If the sum of the fraction and its reciprocal is

, find the fraction.


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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#6049 2015-09-17 23:18:08

zetafunc
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Registered: 2014-05-21
Posts: 2,436
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Re: 10 second questions

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#6050 2015-09-17 23:56:54

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: 10 second questions

Hi zetafunc,

The solution #5510 is perfect! Remarkable, zetafunc!

#5511. Find two consecutive odd positive integers, the sum of whose squares is 290.


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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