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Joan cycles from her house to a shop 900 m away. She then cycles to her friends' house 700 m away. The average speed for the first part of her journey is 2 m/s. The second part takes her 16 mins. What is the average speed for her entire journey?

S: 900 700D: 2 m/sT: 960s Need to find speed in seconds so convert 16 mins to seconds. To find average, we must find time for the first part. Using the basic D/S, the time is 900/2 = 450 s.Speed for the seco...
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Answered by Aisha R. • Maths tutor
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Differentiate with respect to x: (6x + 7)e^x

Product Rule: dy/dx (uv) = u'v + uv' Let u = 6x+7 and v = e^x. Using simple disintegartion, u' is 6 and v' is e^x. Therefore, answer is: 6e^x + (6x +7)e^x
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Answered by Aisha R. • Maths tutor
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How do you write an effective and concise introduction to a history essay in an exam?

The purpose of an introduction is to show the examiner that you: understand the question being asked, can outline the various ways of approaching said question and that you have a clear argument. To do this,...
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Answered by Toby P. • History tutor
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In a triangle ABC, side BC = 8.1 cm, side AC = 7 cm, and angle ACB = 30 degrees. What is the area of the triangle?

Initially, one might think to use area = 1/2 x base x height, however drawing the triangle immediately shows that this is not possible here. We then think to use the formula for area using two adjacent sides...
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Answered by Ellie B. • Maths tutor
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What should I focus on specifically when analysing a play or dramatic text?

It is important to remember that any play or dramatic text will have 'non-physical' or 'literary' aspects that refer to the literature as something to be read by a reader, as well as 'physical' aspects which...
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