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Find the value of x in the equation 3x + 5 = 11

x is a positive number - the question for us is what the value of x is. To find this, we will have to rearrange the equation given. There are multiple ways of doing this. Firstly, we can make the equation si...
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Answered by Rory C. • Maths tutor
15562 Views

Explain the difference between elastic and inelastic collisions.

In all collisions, provided there are no external forces, momentum is conserved. This is the law of conservation of momentum. However, kinetic energy is not conserved in all collisions. An inelastic collisio...
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Answered by Ellie E. • Physics tutor
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What harmonic, melodic and rhythmic elements are common in 20th Century Music?

The harmonic elements that are common in 20th century music are the regular use of dissonance, and a lack of classical chord progressions. This dissonance is also unlikely to be prepared as seen with music o...
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Answered by Seb M. • Music tutor
6114 Views

A sequence of numbers have the property that x, 12, y, where x > 0, y > 0, form a geometric sequence while 12, x, 3y form an arithmetic sequence. A)If xy = k, find k. B)Find the value of x and y.

A) Since x, 12, y form a geometric sequence, we know that there exists some real number "r" (common ratio) such that 12=x r and y=12 r. Hence, r= 12/x =y/12 => xy=144 => k=144 (cross multiply...
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Answered by Stamatis S. • Maths tutor
1890 Views

If the probability of picking a red ball out of bag A is 2/5 and the probability of picking a red ball out of bag B is 3/7, what is the chance that you will pick exactly 2 red balls if you pick 2 balls from A and 1 ball from B? The balls are not replaced.

Draw a tree diagram. Recognise that the second ball selected from bag A is dependent on the outcome of the first ball. The outcome of the ball selected from B is independent. There are 3 orders that 2 red ba...
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Answered by Nicky M. • Maths tutor
5005 Views