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

a) 8 0 = 1 b) 64 2/3 = (64 1/3 ) 2 = 4 2 =16 c) 0.54545454... = x 100x = 54.545454.... 100x-x = 54 99x = 54 x = 54/99 x = 6/11
ES
Answered by Emmanuel S. • Maths tutor
3989 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 whe...
JB
Answered by Jonathan B. • Maths tutor
9090 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 - y. ...
IB
Answered by Isobel B. • Maths tutor
4097 Views

If a semi-circle has radius 4cm, work out the area of the semi-circle

The formula for the area of a circle is pi r 2 ,therefore for semi- circle, the formula becomes1/2 pi r 2 Using our known values this is 1/2 pi*16 (4 2 )Using a calculator this gives the value25.13 (2 d.p)
BS
Answered by Ben S. • Maths tutor
5690 Views

Plot out y= x^2 - x - 2 for values of x from -3 to +3 and label the turning point

x y-3 10-2 4-1 00 -21 -22 03 4 And then be able to plot out these points on a simple graph. The x-coordinate of the turning point is half way between the two points at which the curve crosses the x-axis. Ins...
TD
Answered by Tutor118205 D. • Maths tutor
3823 Views