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What is the gradient of a line with the equation y=4x+5?

The Gradient is 4, this is because this is a straight line graph and it is in the form of y=mx+c, with m being the gradient and c being the y intercept. If the equation was y=6x+3, the gradient would be 6. W...
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Answered by Tom M. • Maths tutor
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A circuit with a voltage source of 18V, has 3 resistors all connected on parallel, values at 2ohms, 6ohms and 7.5ohms. Find the total circuit resistance, and then subsequently, the total current supplied and power dissipated in the curcuit.

The total resistance is found by the addition of resistors in parallel, in the equation (1/R T )=(1/R 1 )+(1/R 2 )+(1/R 3 ), therefore the total resistance is 1.25ohms. Therefore the current is simply I T =V...
HM
Answered by Harrison M. • Physics tutor
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30% of a population lacks the ability to taste the chemical PTC. Non-tasters are homozygouse recessive for this tasting gene. What percentage of the population are tasters and what percentage of the population are NOT heterozygous for this trait?

This question requires the knowledge of two equations from the Hardy-Weinberg Principle. p + q = 1 and p 2 + 2pq + q 2 = 1 where p = dominant allele, and q = recessive allele. Firstly we know from the questi...
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Answered by Fergal H. • Biology tutor
6112 Views

Differentiate y=ln(x)+5x^2, and give the equation of the tangent at the point x=1

First differentiate the equation, giving you, y'=(1/x)+10x. To get the gradient at this point of the curve, plug in x=1, to get a y' value of 11, and a y value of 5. From there you can plug these three numbe...
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Answered by Harrison M. • Maths tutor
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'Conservative governments in the year 1951 to 1964 were successful in their imperial policy’. Assess the validity of this view.

Agree: Macmillan accepted the ‘Winds of Change’ 1960, recognised independence movements and carried out decolonisation 1957-1968 in an effective wayPolicy carried out with support of world leaders and public...
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Answered by Yazmin T. • History tutor
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