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A block of mass 5kg is at rest on a smooth horizontal table, and connected to blocks of 3kg and 4kg which are hanging by strings via pulleys on either end of the table. Find the acceleration of the system and the tension in each string.

[would draw diagram to make easier].
We can use Newton's Second Law (F=ma) to resolve the forces acting on each of the blocks (label string on 3kg side T1 and on 4kg side T2, an...

Answered by Daniel O. Maths tutor
3125 Views

Factroise x^2+9x-22 inro its simplest form

This is a basic question that many GCSE student struggle with, the key way to answer this question is to develop a strong technique, understand the process and stick to it!What two number when timed toget...

Answered by Ifrah K. Maths tutor
2487 Views

What is a hypothesis test

A hypothesis test is used for deciding if something is statistically significant or not.You begin stating your two hypothesesH0: Null hypothesisH1: Alternative hypothesisFor example in a ...

Answered by David A. Maths tutor
3065 Views

Solve the inequality x^2 < -8x + 9

Notice that the inequality may be rearranged to give the quadratic x^2 + 8x - 9 < 0.Factorise the quadratic to give (x-1)(x+9) < 0.Treating the expression as an equality, recall that if the product ...

Answered by Isaac S. Maths tutor
3243 Views

For any given journey, ABC Taxis charge customers a base fare of £5 plus 80p per mile. XYZ Taxis charge a base fare of £3 plus £1.20 per mile. Find the number of miles, x, that must be traveled in order for ABC taxis to be the cheaper journey option.

This question can represented in algebraic form:
ABC Taxis = 0.8x + 5XYZ Taxis = 1.2x + 3
Noting that the units must be consistent throughout the question, so we have changed the pence into mile...

Answered by Euan M. Maths tutor
2586 Views

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