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Make F the subject of the formula: C= 5(F-32) / 9

The first step to making F the subject of this formula is multiplying both sides by 9 to get rid of the denominator on the right hand side. Therefore, 9C= 5(F-32) 2. Secondly, we have to divide both sides by...
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Answered by Sofia H. Maths tutor
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A cylindrical specimen of material with diameter 1.5x10^-4 has a breaking stress of 1.3GPa. Calculate the tensile force acting on the specimen at breaking point.

We first need to remember that stress is force over area. We can calculate the area using the diameter as the specimen is told to be cylindrical (circular cross-section). The area can be calculated using 0.2...
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Answered by Richard M. Physics tutor
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A 1000kg car accelerates from 0 to 20 m/s in 15 seconds. Calculate the acceleration of the car, the force required for this acceleration and the momentum of the car at 20 m/s.

The first part of the question, calculating the acceleration, uses the fact that acceleration equals the change in velocity divided by the time. In this case, the change in velocity is 20-0 and the time is 1...
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Answered by Richard M. Physics tutor
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The polynomial p(x) is given by p(x)=x^3 - 5x^2 - 8x + 48. Given (x+3) is a factor of p(x), express p(x) as a product of 3 linear factors.

This answer is easiest explained using the whiteboard in the interview. The question is basically asking for algebraic long division, we know (x+3) is a factor and are tasked with finding the other 2. We can...
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Answered by Richard M. Maths tutor
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Expand and simplify the following: (2x+3)(2x+5)

Expanding this expression means multiplying the contents of the first bracket by the contents of the second. An easy way to remember this is using the FOIL method. FOIL stands for First, Outside, Inside, Las...
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Answered by Richard M. Maths tutor
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