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Show that (x+2)(x+3)(x+4) can be written in the form of ax^3+bx^2+cx+d where a, b, c and d are positive integers.

This is a 'show that' question which means that you need to prove that something is true. This question wants you to rewrite (x+2)(x+3)(x+4) into the form of ax^3+bx^2+cx+d. To do this, we have to expand ...

Answered by Alicia H. Maths tutor
5070 Views

In a bag of balls, 3 are red, 2 are blue and 5 are green. Two balls are selected from the bag. Calculate the probability that both are green.

Answer:2/9On the first pick of the bag, there are 10 balls in total. Out of these balls, 5 are green. Therefore the probability of picking a green ball will be 5/10 or 1/2. On the second pick of the bag, ...

Answered by Charlie H. Maths tutor
6641 Views

Using the principle of the conservation of energy, calculate the maximum speed of a ball of 5.0kg that has been dropped from a height of 20m. (Given that the gravitational field strength is equal to 9.8N/kg)

Answer: 20ms-1The gravitational potential energy before the ball is dropped is equal to mgh. This gives the ball a maximum gravitational potential energy of 5.0kg * 9.8N/kg 20m which is equ...

Answered by Charlie H. Physics tutor
2248 Views

Given that a light ray enters a glass prism at angle of 50 degrees from the normal and is refracted to an angle of 30 degrees from the normal, calculate the speed of light in glass.

Answer: 1.96108ms-1.Snell's law tells us that n1sin(x1)= n2 sin(x2) where x is the angle of a light ray from the normal. Air can be as...

Answered by Charlie H. Physics tutor
1312 Views

A right angled triangle has two short sides of lengths 5cm and 12cm respectively. What is the length of the third side?

13cm. Using Pythagoras theorem a^2 +b^2 =c^2 we substitute our two known lengths into the equation to get 5^2 + 12^2=c^2.
So now we have c^2= 25+144. So c^2 =169. So c=√169 = 13. Don't forget the un...

Answered by Niall C. Maths tutor
4459 Views

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