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Entropy is a concept borrowed from thermodynamics and information theory. In communication, it measures the degree of uncertainty or unpredictability in a message system. The greater the number of possible messages a source could send, the higher the entropy โ because the receiver cannot predict with confidence what will arrive next. Consider a coin toss (low entropy, only two outcomes) versus selecting one square on a 64-square chessboard (high entropy, 64 possible outcomes). High entropy means more information value per message received, because the message resolves greater uncertainty. However, very high entropy also makes communication more difficult because there is little predictability to guide decoding. This is why communication systems balance entropy with redundancy โ repeating or reinforcing elements that the receiver can use to reconstruct meaning even under noisy conditions.
The optimum pH for pancreatic lipase is approximately:
Pancreatic lipase works in the small intestine at a slightly alkaline pH (around 8) due to bicarbonate secretion from pancreas. Gastric lipase works at acidic pH.
The Soviet Theory of the press emerged from Marxist-Leninist ideology after the 1917 Russian Revolution. Its key features are:
- Closely tied to communist ideology โ media is an instrument of the state/party
- Media functions as a collective agitator, propagandist, and educator in building communism (Lenin's phrase)
- No private ownership of media โ all media belongs to the state or party
- The government is superior to media institutions
- Media is expected to be serious and purposeful
Full editorial autonomy for journalists is a feature of the Libertarian Theory, which is the direct opposite of the Soviet approach. Under Soviet theory, media professionals are instruments of the state's ideological goals โ they have no independent editorial authority. The Soviet Theory does, however, propose a positive role for media: not merely reinforcing authority (as in Authoritarianism), but actively building a new communist society.
Given that $st = \sqrt{10}$, compare:
Quantity A: $s^2$
Quantity B: $\dfrac{10}{t^2}$
From $st = \sqrt{10}$, squaring both sides: $(st)^2 = 10$, so $s^2 t^2 = 10$.
Therefore $s^2 = \dfrac{10}{t^2}$.
Quantity A $= s^2 = \dfrac{10}{t^2} =$ Quantity B.
The two quantities are equal.
Sales ledger control account balance at end of July: $20,000. During August: Credit sales $150,000; Receipts from customers $135,000; Returned (dishonoured) cheques $5,000; Returns inwards $11,000. What was the closing balance?
Option C ($29,000) is correct.
Opening $20,000 + Credit sales $150,000 + Returned cheques $5,000 − Receipts $135,000 − Returns inwards $11,000 = $29,000
Dishonoured cheques are added back as the debt is reinstated.
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