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Prove that n is a prime number greater than 5 then n^4 has final digit 1

Last digit of n determines last digit of n^4. All even numbers divide by 2, so are not prime. Any number ending in 5 is a multiple of 5 so is not prime. Primes > 5 end in 1, 3, 7 or 9. If n ends in 1, ...

Answered by Aristomenis-Dionysios P. Maths tutor
9260 Views

Solve the inequality 4m +3 > 15

4m +3 >15 -3 from each side 4m >12 divide each side by 4 to get m on its own m>3

Answered by Alice N. Maths tutor
2085 Views

how to turn a fraction in the form of (x + a)/(x + b)^2 into partial fractions?

Many students at first will incorrectly separate the fraction into two fractions in the form of A/(x + b) + B/(x + b). If we then multiplied the two back together we will find that it does not equate to t...

Answered by Isla C. Maths tutor
2264 Views

A train travels for 240 minutes to travel a distance of 220 miles. Assuming the trains speed is constant, what is the train's speed in miles per hour?

For this we require the distance-speed-time triangle which is defined as follows:speed = distance/time.However for the we need to convert the time into hours as that's what the question requires.there is ...

Answered by Cameron D. Maths tutor
2339 Views

Prove that (root)2 is irrational

The part of syllabus covered by this question is proof by contradiction. Consequently, in order to achieve a contradiction, you can assume that root2 is rational and thus expressed as a/b where a and b ar...

Answered by Wynn T. Maths tutor
4172 Views

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