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An object's displacement, s metres, from a fixed point after t seconds is s=5t^3+t^2. Find expressions for the object's velocity and acceleration at time t seconds.

Differentiating gives the rate of change and velocity and acceleration are rates of change. Velocity is the rate of change of displacement compared to time and acceleration is the rate of change of velocity ...
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Answered by Seeitha S. • Maths tutor
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Annie, Brandon and Clara are buying pencils. Annie needs 5, Brandon needs 8 and Clara needs 13. Pencils only come in packs of 10. How many packs of pencils do they need to buy between them?

Since Annie needs 5 pencils, Brandon needs 8 pencils and Clara needs 13 pencils, the total number of pencils they need between them is 5 + 8 + 13 = 26. However, pencils only come in packs of 10, which means ...
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Answered by Kate P. • Maths tutor
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In a sale, an item originally worth £140 is reduced by 15%. What is the new price of the item ?

100-15=85 85/100 x 140 = 11900/100 = £ 119
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Answered by Harri S. • Maths tutor
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(2x+3)^2

=4x^2+12x+9
MA
Answered by Mohammed A. • Maths tutor
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Express 5/(2-sqrt(3)) in the form a + b*sqrt(3)

The first step that needs to be taken is to get rid of the square root from the denominator. This can be done by multiplying the top and bottom of the fraction by 2 + sqrt(3). This gives (10 + 5 sqrt(3))/(4-...
GV
Answered by Guy V. • Maths tutor
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