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The time, T seconds, it takes a water heater to boil a constant mass of water is inversely proportional to the power, P watts, of the water heater. When P is 300, T is 20. What is T when P is 400?

This is a question regarding inverse proportion. This is when one value increases as the other decreases. For this question, the equation can be written as: T ∝ 1/P The directly proportional sign (∝) can be ...
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Answered by Scott A. • Maths tutor
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A block of ice slides down the full height from one side of a 1m high bowl and up the other side. Assuming frictionless motion and taking g as 9.81ms-2, find the speed of the block at the bottom of the bowl and the height it reaches on the the other side.

Using the law of conservation of energy, the potential energy of the block is transferred to kinetic energy as it slides down. KE [0.5mv 2 ] = PE [mgh], v = √2gh v = √2 9.81 1 = 4.43 ms -1 The block's KE wil...
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How does vaccination provide immunity?

Pathogens are microorganisms that can cause disease. If they enter the body, they can start an immune response. On their surface, they have antigens, which are substances that start that immune response. Ant...
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Answered by Lana F. • Biology tutor
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How is information passed across a synapse?

A synapse is a junction between neurons. For neurons to communicate signals to each other, it is vital that information can cross the synapse when appropriate. The neuron before the synapse (the presynaptic ...
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Answered by Alex T. • Biology tutor
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What is the factor theorem?

The factor theorem helps us to find factors of polynomial equations, by substituting in number values for x to see whether the equation equals zero. For any polynomial P(x), the factor theorem would state th...
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Answered by Alex T. • Maths tutor
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