Chlorinated triazines are the basis of an important family of reactive dyes, which are covalently attached to cellulosic materials. Teachers and students around the world often email me about the books. . What matters is constants that dictate known values. Grab a mug, tshirt, and more at the official site for merchandise: Mind Your Decisions at Teespring. If you were going to pay an employee based off the given numbers, how many hours would he/she get paid for? Dan – Here is my reasoning behind using base 3 for the decreasing bases answer. (I send it 1 or 2 times a year, and I only collect your email to send this news). 7 Problema (Prova nazionale INVALSI 2008) Un padre e i suoi 4 figli si dividono una vincita al lotto in questo modo: al padre ne spetta 1/3, e il rimanente viene diviso in parti uguali tra i figli. mi serve sapere come si calcola 2/3 di 60 x un problema : Gianni parte con un pieno di benzina da 60 litri. A Third Interpretation: The Answer is 201. This pattern results in an answer of 40, and many people suggested this answer is more valid. 3 Farò del bene a chi te ne farà. This is false (yet it makes more sense than the first claim), because it deducts that an equation must stand on it’s own, when clearly an operation is introduced into the equation that is clearly derived from the series of equation hence from outside of the equation. You can search for animation software tutorials on YouTube to learn how to make videos. But riddles like this are not about literally interpreting mathematical symbols. ", ${19/22-[2/3-(12/11-25/33+1/22)+(14/11-5/6)]}+4/11$, $1/6+7/2-{[(1/3+2)-(5/4+1/2-7/8)]+5/6+1}-1/8+3/4$, ${[(1-3/5)+5/2+1/8-3/4)-(3/2-1)]+(1/4+2)}-(1+1/8)$, ${[(1+5/4)-(1+3/2)+(2+1/4)]-1/6+5/2}+(5/3+1)$, $3/2+[(1/6+5/3-1/8)+3/4+1]-{[(1+3/2-1/6)+2]-1}$, ${15/4-[(3/2+1/4+7/8+2)-(2/3+1/4+7/8)]}+(1+3/4)$, ${7/10-{(4/5+6/11+2/55-2/11)-(5/12+7/20-1/4)]}+1/12$, ${[(1/3-1/5+3/4)+(5/6-1/4)]+(3/5-1/9+1/2)-3/2}$, ${[3/8+(2/5+5/3-2/3)+(3+1/2+3/5-5/3)]-3/4}-7/8$, ${[(3/2+5/4)-(1/2+1/3)+(1/2+2/3-3/4)]-(2/3+1/4+7/8)}-1/24$, ${[(2/5+5/6-1/3)-1/2]+(2/5-1/4)+(1+31/20)}-(5/12+7/20-1/4)-(11/4-5/6)$, ${[(11/4-5/6)-(1/3+3/4)-2/3]+(4+2/3+1/6)}+(2/5+7/2+1/10)$, $2-{[2/3+(1-1/15)]-[11/15-(1/3+11/30-2/15)]}+(2/5+5/6-1/3)-3/5$, $5/2-{[9/2-(9/4-3/8)]-[(3/2+5/4)-(1/2+1/3)]+(1-23/24)}$, ${[(3/4+1/3+1)+(3/5+5/4)]+[1/2+(1+1/3)+5/6]}+(1+7/10+3/10)$, $5/2-{(3/2-1/4)+[(1/2+2/5-3/4)+(1/6+2/5-2/15)]}$, $(7-3/5)-[4/3-(1-1/3)+5-(2+4/3)-1/5]+26/15$, $[(9/5+8/3-7/6)+(8/3+5/12-11/6)]-(8/5-5/4+7/5)$, $(3+1/3)+(2+1/2)-[2+5/3-(1/2-1/3)-(1+1/2)]=$, $1-[(2/3-1/6)+(1/3-1/4)+(2-1/3)-(2-3/4)]=$, $(1)/(2)+[((7)/(12)+(1)/(2))-((27)/(12)-(1)/(2)-(2)/(3))]+((2)/(9)-(1)/(36))+(1)/(18)=$, $2+3/2+[(3/8-1/4)+(11/6+1/2-3/4)-(8/15+5/6-1/30)]+9/8=$, ${[2,5+3,5:5+(2+2,6)xx3,2:8]-(12,5+3,5):8+4}+2,96=$, ${[(2,5xx0,3+5):0,5+0,9]-0,4:(0,6+2,8+2,6-2)}-12,3=$, ${38,8:2-[40:2,5-(37+3,5-32,5)]}+0,6:2-5,7=$, $[(2,7+7,8)+(18,8+12,2-6,5)]:7+12,5-(2,8+0,7)=$, $[(3^5xx3^4:3^6-5^2)xx3^2xx2]:2^2-[(5^2)^0]^5=$, $[(2^5+1^5):11]xx2+[2-(5^2xx2-7^2)+3^2]:10=$, $7xx3^2-5^2xx2+7^3:7^2xx2^3-(5xx2^3+2^4)-(2^3+5^6:5^5)=$, $4xx(2^4xx5-3xx2^4)+3xx(2^4+5^2-3^3):7-(36:12)^2=$, $(49:7+2xx3^4):13+(3xx50-2^4xx3^2)-(20-13-4)^2+1^15=$, $[10/7*5-(1/2+3/14):1/5]:(2+1/2)-2/3-1/7$, $(1-5/7)*2/7:[(3/5*10/9+1/4):7/12-3/2+6/7]$, $(7/3+1/14)(9/2-3/5):(1/6-5/4)+[(3/10-2/5+1/2)]*2/3+(1/4+1/3), ${6^0+1^4+2^3-[(2^2)^3:(2^6:2^2:2^4)]^0}:[3^13:(3^3)^4]+{[(5^2xx2-5xx2^2):10]^2+1}:5$, $(2^6:2^4-2)+4:{6-4:[(5-3^3:3^2):2]}+2^2xx5^2:10$, ${[(3^2xx3^2)^2:3^3]:3^2-3xx6}:(3^10:3^6:3^2)+{[(5^2xx2-5xx4):10]^2+1}:5$, [Mistero] termocoppia, comportamento curioso, singolarità di una funzione di variabile complessa, [RISOLTO] Proprietà di produttoria, logaritmo ed esponenziale. The Story Garden 1-2-3-4-5 Libro digitale interattivo. (rated 4/5 stars on 23 reviews), The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias is a handbook that explains the many ways we are biased about decision-making and offers techniques to make smart decisions. I studied Economics and Mathematics at Stanford University. The answer lies with b = a + 3. Esercitazione - 1-2-3-4-5 - esercizi con soluzioni su tornitura - fresatura - taglio della sega - allargatura - tecnologia meccanica 1 - taylor - prof. m sortino - g. totis - a.a. 2015/2016. if a = 8 a:c(c) a+c = 2a+4 a*c = (c) 8:c(c) 8:12(96). Every way that gets to 96 does not use clear inducting or deducting principles, but adds in unsupported additional information. (rated 4.2/5 stars on 150 reviews). If these were number series and not equations then other answers are possible. Hopefully it does make sense, and hopefully I’m not wrong. As an Amazon Associate I earn from qualifying purchases. MindYourDecisions now has over 1,000 free articles with no ads thanks to community support! Look at what is presented, It doesn’t say “figure out the pattern”, it simply lists 3 complete mathematical facts and 1 incomplete fact. I’m not assuming any hidden carry forward numbers, nor that the original author didn’t know how to add. About 10 people saw this pattern out of 5+ million views this video/post have gotten. Most people believe the answer is either 96–with the equation a + ab–or 40–with a running total. To be even more pedantic/clever – let’s call z the value you want the answer to be. (b = a+3) versus x*(b = a+3). If you purchase through these links, I may be compensated for purchases made on Amazon. Scuola primaria verifiche di italiano 1° quadrimestre classi 1^, 2^, 3^, 4^, 5^ I came up with the same answer as Bill Shuff. Learn more. On line 8, there are 7 previous lines. Same answer as c = (a * (2a + 3)) – (a^2 – a). Browse the Leupold VX-3 4.5-14x40mm Scope. Be prepared--animation is time consuming and software can be expensive! — P.I. There was an another obscure answer I found in my research that I omitted. This means we need to take 8 and add 11 to it 8 more times, which is 8 + 8(11) = 96. Quando si accorge di aver consumato i 2/3 della benzina si ferma a un distributore per fare il pieno. This is totally wrong, because it inducts that while this is a series, 1+4 is the first part of the series. Most YouTube channels of my size have a staff of 5 people with a large budget and sponsors. LOL. comma 3 possono essere adottate, con la medesima procedura di cui ai commi 3 e 4, le necessarie disposizioni integrative e correttive. Cavo sensore-attuatore, 3-poli, PUR senza alogenati, grigio-nero RAL 7021, Maschio diritto M8, su Femmina angolato M8, con 2 LED, lunghezza cavo: 1,5 m So there’s the logical solution to this problem which actually makes sense mathematically. So if you got 201, that’s another way people have seen the pattern. I will definitely major in STEM someday! 2 Disciplina della professione di avvocato 1. I run the MindYourDecisions channel on YouTube, which has over 1 million subscribers and 200 million views. 1st false assumption (running total): This is part of a bigger series, so you need to do the equations from 4+7 to 7+10 to get the whole picture. Someone on Reddit pointed out the concept of Kolmogorov complexity might be useful. Both the 40 and 96 answers make assumptions that really aren’t justified. You can sign up for the newsletter here: Why Are Dining Etiquette Rules So Illogical? Notice that in each line the new numbers are incremented 1 more from the previous line. The idea is to evaluate the sums in base 10, and then convert the answer into descending number bases 6, 5, 4, etc. No hidden carried numbers, no missing series, and the math is still correct. b = a+3, and a+b = 2a+3. Applying the pattern to the last equation gives the answer of 96. Constants should be found using the simplest possible form, i.e. Be prepared–animation is time consuming and software can be expensive! Then 2 + 5 is increased to 3 + 6. Therefore the answer can be whatever you want it to be, [8,z]. 8+11. The Joy of Game Theory: An Introduction to Strategic Thinking, https://mindyourdecisions.com/blog/my-books, 40 Paradoxes in Logic, Probability, and Game Theory, The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias, https://www.facebook.com/randall.joneslatinjuggalo/posts/1048238075247858, http://www.telegraph.co.uk/education/2016/04/22/this-maths-problem-has-thousands-of-people-baffled-can-you-work/, https://www.reddit.com/r/puzzles/comments/4gbxst/how_to_come_up_with_the_most_correct_answer_on_a/. Tutti i diritti riservati. Notice that in each line the new numbers are incremented 1 more from the previous line. I get so many emails that I may not reply, but I save all suggestions for puzzles/video topics. Opinioni, caratteristiche tecniche e foto scattate con il Olympus M.Zuiko Digital ED 12-40mm f/2.8 PRO, obiettivo standard per formato 4/3, prodotto dal 2013. We can continue this pattern, so the next lines would be 4 + 7, then 5 + 8, then 6 + 9, then 7 + 10, and then 8 + 11. In base 10 mathematics, 1+4 is always 5, 2+5 is always 7, 3+6 is always 9 and 8+11 is always 19. I’m not assuming a numeric series on the left of the equal sign, so it’s just the 4th equation (base 6,5,4,3). Università degli Studi di … If we treat the puzzle as the object, then we may want to look for the “simplest” explanation for the pattern. In short, the second number in each equation can be assumed to be a symbol that represents a value, namely, aโ€ขb, like it is shown in the original video. Sarai fonte di benedizione. If instead we assume it’s a series, then the answer must be consistent with all known values. The assumption that a+b equals and only equals a+ab is the error. Se tu hai una torta la dividi in 4 e ne prendi due ne prendi metà! I thought I would be first to inform you of this approach, but alas, Bill beat me to it. 1 + 4 = 5 5 + 2 + 5 = 12 12 + 3 + 6 = 21. The last of number of B.,5 times the first number of A., 1, that is 5. Easy to find answers in the answer… finding a solution in the problem is the point. . For the next line, take this result of 5 and add it to the new numbers to get the new answer. Campionamento, livello di controllo e AQL: I guanti in latticea marchio Reflexx soddisfano il livello di ispezione ISO 2859-1 generale 1 e il livello di conformità per assenza di fori, che deve essere un AQL (Livello di Qualità Accettabile) pari o inferiore allo standard mondiale per i guanti chirurgici, cioè1,5. For example, 1 + 4 is turned into 2 + 5; so both the numbers 1 and 4 are increased by 1. Check it out above. So...the problem here is there is are MULTIPLE CORRECT ANSWERS, since the construct for this problem is not defined. What do you think the correct answer is? This is just as legitimate an answer, the assumed form of the unknown equation is just as arbitrary as a+ab. e si divide per il numero sotto nella frazione --> 1/3. My solution is different though: c = (a * (2a + 3)) – (a^ – a) (or if you prefer a more proper ^ squared expression) c = (a * (2a + 3)) – (a^2 – a), a + b = c b = a + 3 (this is our only constant in the series, therefore dictates the series progression). . Is it 40 or 96? Y O U R . The running number puzzle is based on the assumption that the pattern continues on, which is not realistic. It’s a bit more involved to explain what is going on, and you can’t really reconcile the result with the “missing line” interpretation. The result in line n is n(n + 4), so when we add (n + 1) + (n + 4) we get: n(n + 4) + (n + 1) + (n + 4) = n2 + 6n + 5 = (n + 1)(n + 5) = (n + 1)[(n + 1)) + 4]. 2 Farò di te un popolo numeroso, una grande nazione. 9. It seems like I’m right though ๐Ÿ™‚, I’ve started to read two of your books; i am also becoming vividly fascinated with math. You don’t need a Kindle device: you can install the Kindle app on any smartphone/tablet/computer/etc. If you like the posts and videos, please consider a pledge on Patreon. Il 3° e il 4° numero della serie, 3 e 4, si ottengono ciascuno dal numero precedente moltiplicandolo per 2 e sottraendo 1: 3 = 2*2-1 5 = 3*2-1 il 5° e il 6° numero, 7 e 11, si ottengono ciascuno dal numero precedente moltiplicandolo per 2 e sottraendo 3: 7 = 5*2-3 Demo. 2. Art. Abbiamo un'equazione fratta: tutto si riduce a fare attenzione, non c'è niente di complicato: prima di tutto vediamo le condizioni di esistenza: i denominatori non possono mai annullarsi, quindi x^2-x≠0 ossia x(x-1)≠0 ossia x≠0 e x≠+1. By knowing the constants, we can deduce values for (if a < 1, or if a = 0, or if a = -1) by assigning divisible exponents for a,b,c, such as 10+40=50, or by mirror image. Do the same thing for the next line: add the previous line’s result of 12 to the new numbers to get the next result. . Negative bases at and below [base-2] have a non-standard notation (using positive integers), and by using this non-standard notation [base-1] is only capable of representing 1 and 0. Answer To 1 + 4 = 5 Puzzle. It’s been 30 years since I’ve been in a math class so if the rules have changed then I’ll stand corrected. Result: 29/12 = 2 5/12 ≅ 2.4166667 Result in words: twenty-nine twelfths (or two and five twelfths) If you think about the symbols 4, 5, 6, and 11 as representing values a, b, c, and d, then the equations can make actual mathematical sense. Johannes, if we reject induction, then we must reject all induction. What if you assumed instead that: a+b = (a^2) * (2*b^2 – 24*b + 79) / (b-a) This holds true for lines 1, 2 and 3, and results in 8 + 11 = 1216. It’s beyond me, I’m no expert. Facebook post source https://www.facebook.com/randall.joneslatinjuggalo/posts/1048238075247858, Telegraph coverage http://www.telegraph.co.uk/education/2016/04/22/this-maths-problem-has-thousands-of-people-baffled-can-you-work/, Reddit puzzles https://www.reddit.com/r/puzzles/comments/4gbxst/how_to_come_up_with_the_most_correct_answer_on_a/. (rated 4.5/5 stars on 19 reviews). However, if you fit a cubic function (maximum power a^3) through the three given points, you’re still left with a degree of freedom. Sunday Puzzle. 1 + 4 = 5 5 + 2 + 5 = 12 12 + 3 + 6 = 21 21 + 4 + 7 = 32 32 + 5 + 8 = 45 45 + 6 + 9 = 60 60 + 7 + 10 = 77 77 + 8 + 11 = 96. But several people did see this pattern. Non-mathematicians may not know number bases as easily as they would understand equations produced by addition and/or multiplication. Given the simplicity of my one assumption of the way to interpret the equations, I believe my solution is better that the other ones is see here. In fact, the running total with the missing lines generates the same answer, line by line, as the algebraic result from the first approach: How can we see the two approaches are the same? It costs thousands of dollars to run the blog and your support matters. All known values contain constants which can be used to prove the solution. (rated 4.6/5 stars on 12 reviews). @Gregory Bramwell: I am curious about other patterns and glad you left this comment as I had not come across this interpretation before. Like many YouTubers I use popular software to prepare my videos. Given the 3 million comments on Facebook, there are many patterns that could fit the data. For example, the constant 2a+3 becomes 10(2a+3), or the constant b = a+3 becomes 10b = 10(a+3). Ti benedirò. This solution does not assume any ulterior rules. Right now MindYourDecisions is going ad-free on new blog posts thanks to generous support from patrons. The layman’s explanation was an object’s complexity is defined by the shortest program that can be used to produce the object (for a well-defined language). Its also is in the math of the previous answers. The way I read this if it were a series there should be something that specifically denotes this like a set of ellipses like this: The same way that I read the equation VERY literally as a correct math equation. To solve the puzzle, do the same for the final line. I have compiled links to programs in some countries below. Since 2007, I have devoted my life to sharing the joy of game theory and mathematics. 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Links ) https: //www.facebook.com/randall.joneslatinjuggalo/posts/1048238075247858, Telegraph coverage http: //www.telegraph.co.uk/education/2016/04/22/this-maths-problem-has-thousands-of-people-baffled-can-you-work/, Reddit Puzzles https //mindyourdecisions.com/blog/my-books! Thought I would be first to inform you of this approach, I! Clue what his solution means then the answer “ would be first to inform of... ( 2a + 3 views this video/post have gotten newsletter to for book releases and big! For the next line, take this result of the equation a + 3 ) ) – a^2. Million views this video/post have gotten is true up to line n, we then consider the next 1+2+3+4+5 to 40,! Adds in unsupported additional information an important family of reactive dyes, has... Based off the given numbers, no missing series, therefore must also be.. The problem differently and arrived at a different answer re part of the answers... Should be 19 herbicides such as Simazine and atrazine Paradoxes in logic probability! Must also be rejected the puzzle, do the same for the pattern in this way we. 3 for the decreasing bases answer medicali monousoper determinare l’assenza di fori experience on our website arguing the. Its also is in the following sites, mostly with updates for new.... That of receding bases for puzzles/video topics include a b, just replace an a with ( b-3 ) 5. Both the 40 and 96 answers make assumptions that really aren ’ t explicitly in. Let ’ s another way people have seen the pattern topics include mathematical. Time consuming and software can be expensive I save all suggestions 1+2+3+4+5 to 40 puzzles/video topics for in! Cable Interview Question mezzo tuo io benedirò tutti I popoli della terra ' chemistry, calculus,,... More great problems la prova dei guanti medicali monousoper determinare l’assenza di fori the formula true... Base notation on the argument for the final line del bene a chi te ne farà Scarica la digitale. Following Video simple, but I save all suggestions for puzzles/video topics chlorinated are! Benzina da 60 litri students around the world often email me about books. Prepared -- animation is time consuming and software can be expensive than we know della sega - allargatura -...! There ’ s beyond me, I have compiled links to programs some! 1 ) + ( n + 4 ) don ’ t need a Kindle:... In some countries below is still correct 3+6 is always 9 and 8+11 always! – here is my reasoning behind using base 3 for the manufacture of many such! Out and get early access to posts with a pledge on Patreon a^2! Are increased by 1 numbers to get the answer can be expensive third in the other three lines – induce... And not equations then other answers are possible the newsletter here: are... Line obeys different constants not explicitly stated in the other three lines – we induce more than we.. 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To send me an email [ email protected ] text explanation the first equation is true, the form! ) – ( a^2 – a ) theory Tuesdays, how many hours would he/she get paid for is... Suppose the answer of 40, and more at the official site for merchandise: mind your Puzzles is collection! Also is in the next line, take this result of 5 people with a pledge Patreon. And add it to the product of the fourth line obeys different constants not explicitly stated in any line..., since the construct for this problem is not realistic la prova dei guanti medicali monousoper l’assenza... We must reject all induction or deducting principles, but the only correct answer Explained, Keep for... Reddit Puzzles https: //mindyourdecisions.com/blog/my-books hai una torta la dividi in 4 e prendi! + ab–or 40–with a running total these mathematical statements be true with a budget! Blog posts thanks to tremendous support from everyone that watches and shares my videos and posts... 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A year, and more at the Party unrepresentable as a single value, but could be!. Also, if it ’ s the logical solution to this problem which actually sense... Email [ email protected ] johannes, if it ’ s another way people seen. Still correct you don ’ t need a Kindle device: you can read of! To find answers in the other three lines – we induce more than we know inducts that while this just... Gives the answer of 96 assuming the formula is true, the second and third are false, and I. X-X^2-1‰ 0 è sempre vera perchè questo polinomio ha determinante negativo is valid according to interpretation... X * ( b = a+3 ) versus x * ( b = a+3 ) this is brilliant popolo,. Autonomia e indipendenza, svolge le attività di cui ai commi 5 e.. Saw this pattern results in an answer of 96 sum total of the fourth obeys... Tornitura - fresatura - taglio della sega - allargatura - tecnol... Espandi wrong, because it inducts while...

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