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Express root(125^x)/5^(2x-1) in terms of 5^a where a is an expression in terms of x.

root(125^x) = 125^(x/2) = 5^(3x/2)
5^(3x/2) / 5^(2x-1) = 5^(3x/2 - 2x +1) = 5^(-x/2 + 1)

SN
Answered by Sophie N. Maths tutor
3636 Views

Find the cross product between two unit vectors a and b.

First write out the unit vectors in I, j, and k form. Then put these values into a matrix. Then find the determinant of the matrix. Then you will have reached your answer. I couldn't figure out how to sho...

NL
Answered by Nicholas L. Maths tutor
1500 Views

Tom has a circular garden of radius 30m and he wishes to cover it with fertiliser. Boxes of fertiliser cover 28m^2 of garden. How many boxes will Tom need to cover his entire garden?

Area of a Circle = πradius2 Area of Garden = π30*30 = 2827.43 m2Boxes needed = 2827.43/28 = 101

OR
Answered by Oliver R. Maths tutor
2666 Views

How do I find the coordinates of the turning point of the graph: y=3x^2-6x+7 ?

Our first step here is to differentiate the equation of the graph. To do this we will differentiate each of the three parts in the equation, as follows: To differentiate 3x^2, we first multpily the 3 in f...

JD
Answered by Joshua D. Maths tutor
6244 Views

Show that the recurring decimal 0.13636... can be written as the fraction 3/22

First of all, identify how many digits are recurring in the decimal, in this case it's two: 0.13636...Let x = 0.1363636...Since there are two digits recurring we use 100x = 13.6363...

VC
Answered by Vanessa C. Maths tutor
13602 Views

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