Question
Problem 5. Use the fundamental theorem of arithmetic to prove that if p is & prime and 0 < m <n, then p/n cannot be fraction; i.e., pr/n 4 0
Problem 5. Use the fundamental theorem of arithmetic to prove that if p is & prime and 0 < m <n, then p/n cannot be fraction; i.e., pr/n 4 0


Answers
Show that any rational number $p / q$, for which the prime factorization of $q$ consists entirely of 2 s and 5 s, has a terminating decimal expansion.
Similar Solved Questions
5 answers
Point) Two forces, represented by Ine vectors F; = (4,0, staticnary:and Fz = (-2,3, 3) . are acting on an object Give vecioi F representing the force tnat must be applied the objeci Eremain<-6,3,1>
point) Two forces, represented by Ine vectors F; = (4,0, staticnary: and Fz = (-2,3, 3) . are acting on an object Give vecioi F representing the force tnat must be applied the objeci E remain <-6,3,1>...
5 answers
The resultsnationj Eumue showed that on average Joue sleep 6.5 noursnight: Suppose that the standard deviation 16 hoursChebyshev s theoremculate the minimumrcentage individualssleep betweenhoursChebyshev' s theoremculate the minimumrcentage individualssleep betweenand 10. noumsAssume that the number of hours of sleep follows bell-shaped dlstribution Use the empirical rulecalculate the percentage of individuals who sleep betweenand 9.7 hoursday:How does this result comparethe value that You
The results nationj Eumue showed that on average Joue sleep 6.5 nours night: Suppose that the standard deviation 16 hours Chebyshev s theorem culate the minimum rcentage individuals sleep between hours Chebyshev' s theorem culate the minimum rcentage individuals sleep between and 10. noums Assu...
5 answers
DNA ReplicationBelow portion of eukaryotic chromosome with an origin of replication (arrow) in the middle: The dotted lines represent the continuation of the chromosome: replication bubble with two replication forks is about to form here_AGATCTATTTATTTAGAGATCTGTTCTATTGTGATCTCTTA TCTAGATAAATAAATCTCTAGACAAGATAACACTAGAGAATThe DNA below is shown after the separation of the double helix, in preparation for replication of the chromosome_ The first step is the synthesis of RNA primers: Place two 10-bp
DNA Replication Below portion of eukaryotic chromosome with an origin of replication (arrow) in the middle: The dotted lines represent the continuation of the chromosome: replication bubble with two replication forks is about to form here_ AGATCTATTTATTTAGAGATCTGTTCTATTGTGATCTCTTA TCTAGATAAATAAATCT...
5 answers
Sagittaria Lemna snuojv Chloranthus Nelumbo Trochodendron Aquilegia Lactons Saruma Houttuynia Saururus Piper Canella Drimys Calycanthus Idlospermum Hodycarya Hemandla Degeneria Magnolla Eupomatia Annona Austroballeya Nymphaea Cabombacoae AMBORELLA8081 99893100 h00}1009666100 5110010083 86 85750 I> 092 I> A100100S. Mathews M. J Donoghue: The root of angiosperm phylogeny inferred from duplicate phytochrome genes: Science 286, 947 (1999).The figure above shows the phylogeny estimated for a s
Sagittaria Lemna snuojv Chloranthus Nelumbo Trochodendron Aquilegia Lactons Saruma Houttuynia Saururus Piper Canella Drimys Calycanthus Idlospermum Hodycarya Hemandla Degeneria Magnolla Eupomatia Annona Austroballeya Nymphaea Cabombacoae AMBORELLA 80 81 9 98 93 100 h00} 100 96 66 100 51 100 100 83 8...
5 answers
Hw03 1.2: Problem 7PreviousProblem ListNextpoint) Getnelp enteringznswveiaSee similar example ( PDFIThe length of the rectangular tennis court at Wimbledon is feet longer Ihan twice the width If the court's perimeter iS 248 feet, what are the court's dimensions?The length isfeetThe width I5feet.Note: You can earn partial credit on this problemPreview My AnswersSubmit AnswersShow me anotnerYou have attempted this problem times: You have 12 attempts remainingPaqa gencraled 0940470|7 05 |
Hw03 1.2: Problem 7 Previous Problem List Next point) Getnelp enteringznswveia See similar example ( PDFI The length of the rectangular tennis court at Wimbledon is feet longer Ihan twice the width If the court's perimeter iS 248 feet, what are the court's dimensions? The length is feet Th...
5 answers
70. f(r; >) = (sin x)cos y)eVr+r. 0 54650, 0 =7 sSt, P(4n. 4r)
70. f(r; >) = (sin x)cos y)eVr+r. 0 54650, 0 =7 sSt, P(4n. 4r)...
5 answers
Get help askraring Holecular Drauutg questl the curvtd Jlows below Intcludt Ione nimsanO cnaiyes Your structurc . Make sure KlniDraw thc resulting rosonancncumhnn thatriahtside (ta tusclince JmoundiculedCH;CHzCHyCH;HC
Get help askraring Holecular Drauutg questl the curvtd Jlows below Intcludt Ione nimsanO cnaiyes Your structurc . Make sure Klni Draw thc resulting rosonancncumhnn thatriahtside (ta tusclince Jmo undiculed CH; CHz CHy CH; HC...
5 answers
Consider the cylinder D? 42 36 and the plane %y - r = 6 in Tyz-space Find parametrisation of the cylinder. Find pAranctrisation of tue curFe ohtainexl by intersecting the cylinder and the plane: Calculate the unit tangeut to tle CuTVe at the point P (I.Va (0,2,0)
Consider the cylinder D? 42 36 and the plane %y - r = 6 in Tyz-space Find parametrisation of the cylinder. Find pAranctrisation of tue curFe ohtainexl by intersecting the cylinder and the plane: Calculate the unit tangeut to tle CuTVe at the point P (I.Va (0,2,0)...
5 answers
In a convex hexagon $A B C D E F, hat{A}+hat{C}+hat{E}=360^{circ}$ and$$A B cdot C D cdot E F=B C cdot D E cdot F A .$$Prove that $A B cdot F C cdot E C=B F cdot D E cdot C A$.
In a convex hexagon $A B C D E F, hat{A}+hat{C}+hat{E}=360^{circ}$ and $$ A B cdot C D cdot E F=B C cdot D E cdot F A . $$ Prove that $A B cdot F C cdot E C=B F cdot D E cdot C A$....
1 answers
Use Formula (23) in Section 12.7 and refer to Table 12.7 .1 to find the escape speed (in $\mathrm{km} / \mathrm{s}$ ) for a space probe $600 \mathrm{km}$ above the surface of the Earth.
Use Formula (23) in Section 12.7 and refer to Table 12.7 .1 to find the escape speed (in $\mathrm{km} / \mathrm{s}$ ) for a space probe $600 \mathrm{km}$ above the surface of the Earth....
5 answers
Answerand (ji)_OHHNO:: H,So4F + GSuggest how you could convert 1-phenylethanol Into isopropylbenzene; More than one step required Reaction mechanisms are not required [5 marks]
Answer and (ji)_ OH HNO:: H,So4 F + G Suggest how you could convert 1-phenylethanol Into isopropylbenzene; More than one step required Reaction mechanisms are not required [5 marks]...
5 answers
For an ohmic conductor, doubling the voltage without changing the resistance will cause the current to(A) decrease by a factor of 4(B) decrease by a factor of 2(C) increase by a factor of 2(D) increase by a factor of 4
For an ohmic conductor, doubling the voltage without changing the resistance will cause the current to (A) decrease by a factor of 4 (B) decrease by a factor of 2 (C) increase by a factor of 2 (D) increase by a factor of 4...
5 answers
Planaria are flatworms that live in fresh water. Their excretory system, or protonephridia, consists of two tubules connected to a highly branched tube system. The intake end of the tubes contain cilia that propel waste matter down the tubules and out of the body through excretory pores that open on the body surface. Cilia also draw water from the interstitial fluid, allowing for filtration. Any valuable metabolites are recovered by reabsorption. What structure in the human kidneys most closely
Planaria are flatworms that live in fresh water. Their excretory system, or protonephridia, consists of two tubules connected to a highly branched tube system. The intake end of the tubes contain cilia that propel waste matter down the tubules and out of the body through excretory pores that open on...
5 answers
3/3 poinisDevoreStat9 E.054.KY NotlKck Hollcenetcrparticula tennis racke: coies Jnann thrcr cedmal places )Mdai vceiorrcone nnrtine Ovenite Vere Du [RetneineimonormamycuslorneMaratneEnranlnalenneenMameanA17onarndonifncketcantHher(c)T ston Fttent Irom cutten tock?TacentappropriataNeed Hulp?Vdo>
3/3 poinis DevoreStat9 E.054. KY Notl Kck Hollcenetcr particula tennis racke: coies Jnann thrcr cedmal places ) Mdai vceior rcone nnrtine Ovenite Vere Du [Retneine imono rmamy cuslorne Maratne Enranlnalenneen Mamean A17ona rndoni fncket cantHher (c)T ston Fttent Irom cutten tock? Tacent appropriata ...
5 answers
FrozemulSci Istn Ht_rutc 'Elc_GerE uItrtlt DEuMc IALE ulutex LE1Lo MEVE E0kta rlulberC kaluta MLlzt "ulec dirun LcldFuuuuluAlec [Ceuunliace DL "LcEeLur ul ueue hpathali tetTnnilegomeennhatne 4nft pAJu # IaandAASmeetrhe nalcnnul 1p JuzAeneeedeHieIcC AicMM4u4(Ch"a co0 nde #ur huan Hsler %uh ec diseus Acre)ses the nl Hnie Iae -u Patuan (ior Uulbz_ Lul 84u4l ? W[nuunt Tnhatncnaner Itp- Alu #laasenIncenetnn nalCEEll- He Jua? DEeeede 1A-Ju:n5r42 421< Ea &e 1 Wa ccnclutc th
Frozem ulSci Istn Ht_rutc 'Elc_GerE uItrtlt DEuMc IALE ulutex LE1Lo MEVE E0kta rlulberC kaluta MLlzt "ulec dirun LcldFuuuulu Alec [Ceuunliace DL "LcEeLur ul ueue hpathali tet Tnnilegomeennhatne 4nft pAJu # Iaan dAASmeetrhe nal cnnul 1p Juz Aeneeede HieIcC AicM M4u4 (Ch"a co0 nde...
5 answers
Problem 26.45A4.0-MQ resistor is connected in series with a 0. .50-uF capacitor The capacitor initially uncharged. The RC combination is charged by a 9.0-V battery:What is the change in voltage between t = RC and t = 3RC?7.6 V5.7V2.9V15 V11 V
Problem 26.45 A4.0-MQ resistor is connected in series with a 0. .50-uF capacitor The capacitor initially uncharged. The RC combination is charged by a 9.0-V battery: What is the change in voltage between t = RC and t = 3RC? 7.6 V 5.7V 2.9V 15 V 11 V...
2 answers
Nat rte (m/min} In & device Used for Ir-quallty measurcment depends on the pressurc drop water} ecross thc device' fillter. Supposc that for values between 20, the two varlables are related accordlng to the slmple linear regression model wIth true regresslon Ilne ~0.13 095x.USE SALTWhat Is thc expected change now rate assoclated KIthIncreastpressure drop?(m"/min)Explain.Wle expect the change flow rate () to be the slope of the regression Ilne. We expect the change in flow rate (x)
nat rte (m/min} In & device Used for Ir-quallty measurcment depends on the pressurc drop water} ecross thc device' fillter. Supposc that for values between 20, the two varlables are related accordlng to the slmple linear regression model wIth true regresslon Ilne ~0.13 095x. USE SALT What I...
5 answers
Find the pH, POH ad [OH] ofa 2.234 10 FM solution of hydrochloric acid, strong acid.window cleaning solution is found to have [OH-| = 0.245M. Calculate the pH, pOH and hydronium ion concentrationsA0.0B4M solution ol acetic acid_ weak acid. Is 1% dissociated. Calculate Ihe hydrogen ion concentralion, the hydroxide ion concentration, the pH and the pOH
Find the pH, POH ad [OH] ofa 2.234 10 FM solution of hydrochloric acid, strong acid. window cleaning solution is found to have [OH-| = 0.245M. Calculate the pH, pOH and hydronium ion concentrations A0.0B4M solution ol acetic acid_ weak acid. Is 1% dissociated. Calculate Ihe hydrogen ion concentralio...