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(a) Find the set of values of k that satisfy the inequality k^2 - k - 12 < 0. (b) We have a triangle ABC, of lengths AC = 4 and BC = 2. Given that cos B < 1/4 , find the range of possible values for AB:

Solution: Let us consider the function f(k) = k 2 - k -12. Firstly, we want to find out the roots of this function. We calculate the discriminant: Δ = b 2 – 4 a c = 49 hence we get the roots: k 1 = (1-7)/(2 ...
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Answered by Alexandru H. Maths tutor
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This question is on meiosis: Variation occurs during meiosis, give the two ways this happens (include the phases where it occurs) (4 marks)

During prophase 1, homologous chromosomes will pair up to form a bivalent, this is where crossing over can occur. Chromatids will twist around each other and will break and reform, resulting in crossing over...
Answered by Biology tutor
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Please expand (y+2)(y-3).

We will use the FOIL method. Here FOIL stands for: First, Outside, Inside, Last. This means we start by multiplying the first terms in each bracket together to get y 2 . Then we multiply the outside terms to...
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Answered by Mary B. Maths tutor
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Explain the importance of televised debates in US presidential elections.

Televised debates in US presidential elections has shaped not only the US political sphere but also that of most western democratic states. Previous to the 1960s, debates tended to be based in party ideology...
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Describe the process of a capacitor charging.

At first, there is a potential difference between the two plates of the capacitor equal to the potential difference between the two battery terminals. This causes electrons to build up on one of the plates m...
Answered by Physics tutor
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