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Given that y=x/(2x+5) find dy/dx.

Using the quotient rule: Let u=x and v=2x+5 then du/dx= 1 and dv/dx=2 Hence dy/dx=[(2x+5)x1- (2x)]/(2x+5) 2 =5/(2x+5) 2
SB
Answered by Shayna B. • Maths tutor
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How is information contained in the nuclear DNA of a cell converted into proteins? Outline the role of each molecule and enzyme involved in the process.

DNA is a double-stranded nucleic acid that consists of four different bases (A, T, C, G) which make up the 'language' of the genome. Sets of three bases on the coding strand of DNA, known as a triplet codon,...
TL
Answered by Timothy L. • Biology tutor
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Sam takes out a £720 loan. Sam will have to pay back the £720 plus an interest rate of 15%. He will have to pay this back in 12 equal monthly instalments. How much must Sam pay monthly?

First, you must find out the total amount to pay back, this amount will be £720 + 15% of £720. To find 15% of £720, we first calculate 720/100 to find 1% and the multiply by 15: 720/100 = 7.2 *15 = 108. Now ...
SN
Answered by Samuel N. • Maths tutor
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Finding modulus and argument of complex number (x+iy)

Draw argand diagram Modulus=|z|= length of the line So |z|=(x 2 +y 2 ) 0.5 Argument=Angle between real (x axis) and line so arg(z)=arctan(y/x)
EF
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Explain the rising importance of PACs and Super-PACs

The “PAC” acronym stands for “Political Action Committee”, with PACs being significant aspects of the campaign finance aspects of the political system within the US. Regular PACs are subject to spending limi...
WH
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