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Translate: Abydeni (citizens of Abydos) legatos ad regem de condicionibus tradendae urbis miserunt.

We are given that 'Abydeni' means 'citizens of Abydos'. This is the subject of the sentence; we now move to the verb, 'miserunt'. This is from the past tense of 'mittere', meaning 'to send'. So we know th...

Answered by Jake T. • Latin tutor

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Solve this simultaneous equation: 5n+t= 21 n-3t=9

5n+t= 21n-3t=9
n= 9+3t5(9+3t)+t= 2145+15t+t= 2145+16t= 2116t= -24t= -1.5
5n-1.5= 215n= 22.5n= 4.5

Answered by • Maths tutor

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Prove by induction that the sum from r=1 to n of (2r-1) is equal to n^2.

Firstly, we note that there are 4 key steps for any proof by induction. (1) Basis : check the statement works for n=1. (2) Assumption : assume the statement is true for n=k. (3) Induction : prove the stat...

Answered by Jasmine L. • Further Mathematics tutor

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There are 4 blue balls, 2 red balls, and 5 green balls in a bag. James removes one ball and does not replace it. James removes a second ball. What is the probability that both balls will be the same colour.

Total number of balls = 4 + 2 + 5 = 11 (this is our denominator for first draw)Numerator is the number of each colour. When we remove a ball the denominator and numerator for that colour decrease by 1. P(...

Answered by Caleb W. • Maths tutor

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