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Prove by induction that 7^(8n+3) + 2 is divisible by 5, where n is a natural number.

We need to first consider the base case, n=0. (We consider the smallest possible value of n as the base case.)7^(8 0+3) + 2 = 343 + 2 = 345 = 69 * 5, so the statement is true for n=0. Assume true for n = k, ...
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Answered by Mingke P. • Maths tutor
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How many ways is indirect statement expressed in Greek?

There are three different ways to express indirect statement:ὄτι and ὡς where the verb of the indirect statement is in the indicative but remains in the tense of the original speaker.The infinitive construct...
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Amber has an unfair coin. The probability of throwing a tail is p. Amber throws the coin twice and the probability of throwing a head and then a tail is 6/25. Heads are more likely than tails. Show that 25p^2-25p+6=0 and find the value of p.

Tree diagramP(Head then tail) = p(1-p)=6/25Solve above equationp=2/5 as heads are more likely than tails.
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Answered by Muhammed S. • Maths tutor
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Foundation role-play

Estás hablando con tu amigo colombiano/tu amiga colombiana. Yo soy tu amigo/tu amiga.1 Ask the candidate to give his/her opinion of school. ¿Cuál es tu opinión sobre el colegio? 2 Allow the candidate to give...
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Answered by Ana V. • Spanish tutor
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What are the main features of the genetic code and can you explain them to me?

A sequence of three DNA nucleotide bases makes up a triplet. This triplet codes for one of 20 specific amino acids. The genetic code is universal because it is the same in all living organisms. For example, ...
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Answered by Amy D. • Biology tutor
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