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Ed has 4 cards. There is a number on each card. Three of the numbers are 12, 6 and 15. The mean of the numbers is 10. What is the fourth number?

To find the mean you add all the numbers together and divide by the number of numbers. Call the fourth number x. Then we know that (12+6+15+x)/4 =10. then multiply both sides by 4 to get 12+6+15+x=40 which i...
SP
Answered by Sarah P. • Maths tutor
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Explain the key features of conservative nationalism.

Conservative nationalism is a form of nationalism which places a great emphasis on social cohesion and public order, rooted in cultural uniformity and shared tradition.Conservatives endorse an organic societ...
GF
Answered by Giulia F. • Politics tutor
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Integrate x/((1-x^2)^0.5) with respect to x

x = sin(u), dx/du = cos(u), dx = cos(u) * du,[x/(1-x^2)^0.5)] * dx = [sin(u)/((1-(sin(u)^2))^0.5] * cos(u) * du = [sin(u)/(cos(u)^2)^0.5] * cos(u) * du = sin(u) * duIntegral of sin(u) * du = -cos(u) = -(1-si...
AP
Answered by Andrew P. • Maths tutor
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‘People will do anything, no matter how foolish, to get what they want’ - In the light of this view, discuss ways in which Webster represents ambition in The Duchess of Malfi.

The character Bosola is a man who has suffered unfairly at the hands of those he has worked for, leading him to become a man who can no longer trust those around him and leaving him with very little compassi...
AC
Answered by Arthur C. • Music tutor
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Express 5/[(x-1)(3x+2)] as partial fractions.

5 = a(3x+2) + b(x-1), x = 1, 5 = a(3+2) +b (1-1), 5 = a(5) + b(0), 5 = 5a, a = 1, x = -2/3, 5 = a(-2+2) + b(-(2/3)-1), 5 = a(0) + b(-5/3), 5 = -5b/3, b = -3, Therefore: 5/[(x-1)(3x+2)] = 1/(x-1) -3/(3x+2)
AP
Answered by Andrew P. • Maths tutor
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