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Category: Arithmetic

For-those-who-are-interested-in-cryptography-The-below-text-has-been-encrypted-using-Vigenere-cipher-such-that-numbers-punctuation-marks-and-the-letter-E-have-remained-the-same-A-keyword-of-

Question Number 218799 by depressiveshrek last updated on 15/Apr/25 $$\mathrm{For}\:\mathrm{those}\:\mathrm{who}\:\mathrm{are}\:\mathrm{interested}\:\mathrm{in}\:\mathrm{cryptography}. \\ $$$$\mathrm{The}\:\mathrm{below}\:\mathrm{text}\:\mathrm{has}\:\mathrm{been}\:\mathrm{encrypted}\:\mathrm{using} \\ $$$$\mathrm{Vigenere}\:\mathrm{cipher},\:\mathrm{such}\:\mathrm{that}\:\mathrm{numbers},\:\mathrm{punctuation} \\ $$$$\mathrm{marks}\:\mathrm{and}\:\mathrm{the}\:\mathrm{letter}\:\overset{..} {\mathrm{E}}\:\mathrm{have}\:\mathrm{remained}\:\mathrm{the}\:\mathrm{same}. \\ $$$$\mathrm{A}\:\mathrm{keyword}\:\mathrm{of}\:\mathrm{length}\:\mathrm{9}\:\mathrm{has}\:\mathrm{been}\:\mathrm{used},\:\mathrm{which} \\ $$$$\mathrm{starts}\:\mathrm{with}\:\mathrm{the}\:\mathrm{letter}\:\mathrm{K}.\:\mathrm{Decrypt}\:\mathrm{the}\:\mathrm{text}. \\ $$ Commented by…

Question-218675

Question Number 218675 by Spillover last updated on 14/Apr/25 Answered by Nicholas666 last updated on 14/Apr/25 $$ \\ $$$$\:\:\:\:\frac{\mathrm{2020}^{\mathrm{2}} +\mathrm{1}}{\mathrm{0}^{\mathrm{2}} +\mathrm{1}}\:=\:\frac{\mathrm{4080400}}{\mathrm{1}}\:=\mathrm{4080401}\:\checkmark \\ $$$$ \\ $$…

Question-218312

Question Number 218312 by Rojarani last updated on 06/Apr/25 Answered by mr W last updated on 07/Apr/25 $${say}\:{the}\:{time}\:{needed}\:{from}\:{house}\:{to}\: \\ $$$${station}\:{A}\:{is}\:{x},\:{and}\:{from}\:{house}\:{to} \\ $$$${station}\:{B}\:{is}\:{y}. \\ $$$${for}\:{up}\:{train}\:{it}\:{is}\:{given}: \\…

If-Alphaprime-borrows-25-from-LYCONTRIX-at-the-rzte-of-12-p-a-How-much-does-the-former-owe-to-the-other-in-a-span-of-8years-

Question Number 218066 by ajfour last updated on 28/Mar/25 $${If}\:{Alphaprime}\:{borrows}\:\mathrm{25\$}\:{from} \\ $$$${LYCONTRIX}\:{at}\:{the}\:{rzte}\:{of}\:\mathrm{12\%}\:{p}.{a}. \\ $$$${How}\:{much}\:{does}\:{the}\:{former}\:{owe}\:{to}\:{the} \\ $$$${other}\:{in}\:{a}\:{span}\:{of}\:\mathrm{8}{years}? \\ $$ Commented by Frix last updated on 28/Mar/25…

if-the-fraction-m-2-25m-m-1-is-reductible-how-many-values-does-m-take-if-is-a-2-digit-number-thanks-

Question Number 215999 by lmcp1203 last updated on 25/Jan/25 $${if}\:{the}\:{fraction}\:\frac{{m}^{\mathrm{2}} +\mathrm{25}{m}}{{m}+\mathrm{1}}\:\:{is}\:{reductible}.\:{how}\:{many}\:{values}\:{does}\:{m}\:\:{take}\:{if}\:{is}\:{a}\:\mathrm{2}\:{digit}\:\:{number}?\:{thanks} \\ $$ Answered by Rasheed.Sindhi last updated on 25/Jan/25 $$\frac{{m}^{\mathrm{2}} +\mathrm{25}{m}}{{m}+\mathrm{1}}={m}\left(\frac{{m}+\mathrm{25}}{{m}+\mathrm{1}}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:={m}\left(\frac{{m}+\mathrm{1}+\mathrm{24}}{{m}+\mathrm{1}}\right)={m}\left(\mathrm{1}+\frac{\mathrm{24}}{{m}+\mathrm{1}}\right) \\…

1-3-1-3-7-21-25-Next-three-terms-

Question Number 215845 by Tawa11 last updated on 19/Jan/25 $$\mathrm{1},\:\mathrm{3},\:−\:\mathrm{1},\:−\:\mathrm{3},\:−\:\mathrm{7},\:\:−\:\mathrm{21},\:\:−\:\mathrm{25},\:\:\:\:\:\_\_\_,\:\:\:\:\:\_\_\_,\:\:\:\:\:\_\_\_ \\ $$$$ \\ $$$$\mathrm{Next}\:\mathrm{three}\:\mathrm{terms}?? \\ $$ Commented by mr W last updated on 20/Jan/25 $${this}\:{is}\:{a}\:{game},\:{not}\:{mathematics}!!!…