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Write the following in their simplest form: a) 8^0 b) 64^(2/3) c) 0.54545454...

a) 8⁰= 1b) 64^2/3 = (64^1/3)² = 4² =16c) 0.54545454... = x 100x = 54.545454.... 100x-x = 54 99x = 54 x = 54/99 x = 6/11...

Answered by Emmanuel S. • Maths tutor

3200 Views

You're on a game show and have a choice of three boxes, in one box is £10, 000 in the other two are nothing. You pick one box, the host then opens one of the other boxes showing it's empty, should you stick or switch?

At the moment of your first choice you have a 1/3 chance of picking the box with the prize and a 2/3 chance of getting nothing. After your choice those probabilities remain locked in and do not change as ...

Answered by Jonathan B. • Maths tutor

7003 Views

You are sitting in a boat on a lake, you have with you in the boat a large rock. You throw the rock out of the boat and it sinks to the bottom of the lake, does the water level of the lake go up, down or stay the same?

Whilst in the boat the rock (and you) are floating, this means that the amount of water displaced by the rock is the mass of the rock. When the rock sinks to the bottom of the lake the amount of water dis...

Answered by Jonathan B. • Physics tutor

8597 Views

Qu'est ce qu'on peut faire chez nous pour protéger la planète?

Aujourd'hui il est maintenant absolument primordial qu'on essaie de protéger la planète plus que jamais. A mon avis, la question de l'environnement m'inquiète énormément et il me semble que la réponse doi...

Answered by Christian G. • French tutor

2498 Views

Solve the simultaneous equations: 5x+5y = 6 7x+3y = 6

Label the equations 1) 5x+5y = 6 and 2) 7x+3y = 6 . Then rearrange equation 1 to make x the subject of the equation: 5x = 6-5y. You would then simplify this equation to find the equation for x: x = 6/5 - ...

Answered by Isobel B. • Maths tutor

3377 Views