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You are not logged in. #51 20090108 17:02:58
Re: 5 Star QuestionsAnswer to #24: Character is who you are when no one is looking. #52 20090108 17:14:48
Re: 5 Star Questions#26. What is the value of #27. What is the value of log tan1° + log tan2° + log tan3° + log tan4° + ....log tan 89° #28. What is the value of ? Character is who you are when no one is looking. #53 20090108 19:05:23
Re: 5 Star Questions#29. Decompose into partial fractions: #30. If p and q are the roots of the equation x²+8x = 15, form the equation whose roots are (p+q) and 3pq. Character is who you are when no one is looking. #54 20090109 00:51:47#55 20090109 01:22:14
Re: 5 Star QuestionsAnswer to #30: Character is who you are when no one is looking. #56 20090109 01:26:23
Re: 5 Star QuestionsJaneFairfax, Character is who you are when no one is looking. #57 20090109 01:42:31
Re: 5 Star QuestionsWhen you worked out the area of the parallelogram, you use its slant height instead of its perpendicular height and so your answer is larger than the actual area. Why did the vector cross the road? It wanted to be normal. #58 20090109 01:55:54
Re: 5 Star QuestionsOops! Character is who you are when no one is looking. #59 20090109 02:14:00#60 20090109 16:03:25
Re: 5 Star QuestionsAnswer to #27: Character is who you are when no one is looking. #61 20090110 00:41:17
Re: 5 Star Questions#31. A person covers the distance from P to Q at the speed of 3 kilometers per hour. From Q to P, he covers the distance at 6 kilometers per hour. What is the average speed per hour? Character is who you are when no one is looking. #62 20090110 07:50:00
Re: 5 Star Questions
Last edited by JaneFairfax (20090110 07:52:38) #63 20090110 16:59:25
Re: 5 Star QuestionsAnswer to #31: Character is who you are when no one is looking. #64 20090111 02:30:40
Re: 5 Star Questions#32. Find the value of #33. Find the value of x if . Character is who you are when no one is looking. #65 20090111 02:46:16#66 20090111 16:22:17
Re: 5 Star QuestionsAnswer to #33: Character is who you are when no one is looking. #67 20090111 17:06:55
Re: 5 Star Questions#34. Which is the largest number each number of the sequence is divisible by? Why? Character is who you are when no one is looking. #68 20090111 22:35:09#69 20090111 23:12:32
Re: 5 Star QuestionsAnswer to #34: I wanted to know if I am right. This product is certainly divisible by 6. For proving that is always divisible by 5, I use this logic. Last digit of 0 0 1 1 2 6 3 1 4 6 5 5 6 6 7 1 8 6 9 1 It can be seen that the last digit of is always 0 or 5, which means it is a multiple of 5. I hope my reasoning is acceptable! Character is who you are when no one is looking. #70 20090112 00:03:03
Re: 5 Star Questions
NO!! If is divisible by 5 then is NOT difvisible by 5. You do it this way. Either or . If then clearly . If , then by Fermat’s little theorem. In that case, . Hence in every case. #71 20090112 00:10:35
Re: 5 Star QuestionsThanks, JaneFairfax! Character is who you are when no one is looking. #72 20090112 00:49:33
Re: 5 Star Questions#35. What is the value of xyz if #36. What is the value of z if and . Character is who you are when no one is looking. #73 20090112 11:24:18#74 20090112 19:52:19
Re: 5 Star QuestionsAnswer to #35: Character is who you are when no one is looking. #75 20090112 19:59:57
Re: 5 Star QuestionsTo JaneFairfax: That isn't going to affect the proof. The idea is to prove that is divisible by 30, hence, if isn't divisible by 5, n would be. We already know that is divisible by 2 and 3 (because (n1)(n)(n+1) is a factor). Now that is has been shown that it is also divisible by 5, can we say decisively that a number of the form (n>0, n is a Natural number) is divisible by 30 with the help of posts #69 and #75 alone, without the help of Fermat's little theorem? Am I right? Character is who you are when no one is looking. 