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A cycle race across Hungary is 392,5 miles long. Bob is a contestant in this race, he can go as fast as 13.48 miles per hour and can pedal 6 hours a day. Work out in how many days will Bob complete this race.

First we need to list what we know from the text. Bob's speed : 13,48 mph and 6hour a day. The distance is 392,5 miles. How do we get the number of hours? Distance/Speed = 392,5/13,48 = 29,1172~ 29,12hour...

Answered by Adam V. • Maths tutor

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Draw a graph of x = (y + 4)/4

step 1: re-arrange the function in a nicer wayx = (y + 4)/44x = y + 4y = 4x - 4step 2: draw the graphthis is a stright line going through y axis at -4 and x axis at 1, with gradient of 4

Answered by Rimantas K. • Maths tutor

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Integrate (x+2)^2 dx

There are multiple methods that be applied here to reach a solution, integration by substitution or by applying the basic rules of integration. The first step would be to expand the expression within the ...

Answered by • Maths tutor

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Write 3a - a x 4a + 2a in its simplest form.

= 5a - 4a^2The rules of BODMAS (brackets, Orders, Division, Addition, Subtraction) applies. Times the "a" with "-4a" first, forming 4a squared (4a^2). Then group the "3a" and...

Answered by Rachel K. • Maths tutor

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Integrate (tanx)^2

Method:We use the trigonometric identity (tanx)^2 +1 = (secx)^2 to understand that (tanx)^2 can be written as (secx)^2-1.We then use the formula booklet to identify that (secx)^2 i...

Answered by Alex Z. • Maths tutor

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