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Express 9^(3x+)1 in the form 3^y giving y in the form of ax+b where a and b are constants.

Fistly show that: 9 3 x +1 =3 y To find x we need to get the left hand side of the equation to be 3 m (3 x +1) where 3 m =9. I know that 3 2 =9 (but if you don't you can use m=log 3 (9)=2) This gets us: 3 2(...
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Answered by Judy G. Maths tutor
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Give two reasons why cryolite is used in the electrolysis of aluminium oxide.

The mixture of cryolite and aluminium oxide has a lower melting point than pure aluminium oxide. This means a lower amount of energy is required to establish effective conditions for electrolysis and thus ma...
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Answered by Javier E. Chemistry tutor
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What is the Product Rule?

The product rule is used when differentiating two functions that are multiplied by eachother. The formula for the product rule is: U (dv/dx) + V (du/dx) where 'dv/dx' is the differential of the function, V. ...
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Answered by Abbie W. Maths tutor
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The lattice enthalpies of calcium oxide and magnesium oxide are different. Comment on this difference.

Differences in size of an ionic lattice are directly linked to differences in how exothermic the lattice enthalpy of a salt is. Mg 2+ has a smaller radius than Ca 2+ and thus a higher positive charge density...
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Answered by Javier E. Chemistry tutor
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How do I use Pythagoras?

Pythagoras theorum is used to identify the lengths of any side on a right angle triangle. The theorem is as follows: a 2 + b 2 = c 2 We assume that the hypotenuse (side opposite the right angle) is C. Theref...
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Answered by Abbie W. Maths tutor
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