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How would you solve (4y + 3)/5 + (3y+1)/2 = 4 for y?

The first step is to remove the fractions in the equation, as the equation is easier to solve when there are only whole numbers.To remove the first fraction we should times the entire equation by 5 ----&g...

Answered by Nima S. • Maths tutor

2520 Views

What is the difference between '<' and '≤'?

'x < 4' simply means that x is less than 4.2) However, x ≤ 4 means that it is less than or equal to 4. So if you have x = 3, 2, 1, 0 then the first term, 'x < 4' appliesbut if...

Answered by Tom H. • Maths tutor

3493 Views

As a director influenced by Brecht, what styles and conventions would you implement in your piece of theatre?

With Brecht being an abstract and absurd practitioner, I would keep in mind that his main philosophy was to use theatre not to entertain but to educate, and to always remind the audience that they are wat...

Answered by Jannat S. • Drama tutor

1944 Views

A kettle requires 2400 Coulombs of charge to pass through its heating element, with a resistance of 6 Ohms, in a time of 200 seconds in order to boil the water inside it. Calculate the current flowing and the power of the kettle.

I=Q/t=2400/200=12AP=IV=I^2R=12^2*6=864W
Of course, when discussing the answer with a student I would verbally explain each step in detail and add more drawings to my workings. Unfortunately,...

Answered by Sam L. • Physics tutor

6643 Views

Find the equation of the normal of the curve xy-x^2+xlog(y)=4 at the point (2,1) in the form ax+by+c=0

differentiating: xy'+y-2x+(x/y)y'+log(y)=0rearranging: y'=y(2x-y-log(y))/x(1+y)at (2,1): y'=3/4 so gradient of normal at (2,1) is -4/3so the equation of the normal is y-1=(-4/3)(x-2)which is equivalent to...

Answered by Sam L. • Maths tutor

3113 Views