the pressure p of a given gas in inversely proportional to the cube root of its volume, V at a constant temperature, When V is 64, p=6 . calculate (a) p when v=27 (d) v when f= 2

see explanation

Step-by-step explanation:

Given that p is inversely proportional to then the equation relating them is

p = ← k is the constant of proportion

To find k use the condition when V = 64, p = 6 , thus

6 = = ( multiply both sides by 4 )

24 = k

p = ← equation of proportion

(a)

When V = 27, then

p = = = 8

(b)

When p = 2, then

2 = ( multiply both sides by )

2 = 24 ( divide both sides by 2 )

= 12 ( cube both sides )

V = 12³ = 1728

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

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step-by-step explanation: