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Prove algebraically that the sum of the squares of two consecutive multiples of 5 is not a multiple of 10.

First let’s break this statement down. At the core of this sentence are two consecutive multiples of 5. How can we represent these using algebra? Let’s use 5a where “a” is an integer. A consecutive multiple ...
DS
Answered by Daniel S. Maths tutor
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Describe and explain the process of insulin secretion

Beta cells store insulin in vesiclesAt normal blood glucose concentration (BGC), K+ channels are open, so K+ can diffuse out of the cell to maintain the potential difference (PD) at -70mVWhen the BGC rises, ...
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Answered by Summia H. Biology tutor
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Why is gravitational potential energy negative?

While on the Earth's surface, you need to put in energy to move upwards, due to the force of gravity from the Earth's mass acting on you - eg jumping upwards requires energy. The force of gravity is stronges...
Answered by Physics tutor
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When do I use it and how do I use the past perfect?

The past perfect is used to describe a past action that happened before another past action.It expresses the anteriority of a past action, compared to another past action expressed by the simple past, the pr...
Answered by French tutor
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A medical test will be positive for 0.05% of people and negative for everyone else. Suppose a hospital will test 4000 patients each day. Use an appropriate approximation to find the probability that 5 people test positive tomorrow. (5SF)

Note that we have a constant probability, fixed number of tests, independent patients and only two outcomes, so we can write a binomial distribution X~Bin(4000,0.0005) where X is the random variable represen...
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Answered by John M. Maths tutor
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