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Solve 5 < x² + 1 < 10

We can take 1 away from all elements to obtain 4 &lt; x² &lt; 9. Now, it's important to notice that when we square a negative, it gives us a positive, so when we take a square root to get 2 &lt; x &lt; 3 we ...
MO
Answered by Mateusz O. • Maths tutor
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Solve the complex equation z^3 + 32 + 32i(sqrt(3)) = 0

First thing to observe here, is that this equation is somewhat different to what you would find normally. This is a complex equation. How can you tell? The third term, ie 32i(sqrt(3)) contains the symbol for...
SP
Answered by Savvas P. • Maths tutor
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Solve x^2 - 7x > -6

We want to find the values of x for which this inequality is 0. Let's first fine the values of x for which x 2 - 7x = -6.Rearranging, x 2 - 7x + 6 = 0. Now we're looking for the values of x for which x 2 - 7...
LG
Answered by Lucas G. • Maths tutor
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Describe what an action potential is and how is it transmitted. Refer to the action of stimuli and neurons in your answer.

An action potential is when a neuron sends an electrical signal down an axon, away from the cell body (soma). A stimulus is detected by a motor neuron e.g. through mechanoreceptors that detect touch on the s...
ES
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What is the volume of a gas in a closed system working under ideal conditions at r.t.p of 1.5 moles of gas?

PV = nRTP =101 kPa = 101 000 PaV =?T= 298 KR = 8.314 J K -1 mol -1 n = 1.5 molV = nRT / P = 1.5 mol x 8.314 J K -1 mol -1 x 298 K / 101 000 Pa = 0.0368 m 3
TB
Answered by Theo B. • Chemistry tutor
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