Answer:
X=4, y=1
Step-by-step explanation:
A spinner has 6 numbers on it, from 1-6, all with equally spaced area. Find the probability of spinning a
1 answer:
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Answer:
a) The length of segment AC is approximately 5.83 centimeters.
b) The angle ACD is approximately 34.5º.
Step-by-step explanation:
a) Since , the length of segment
is determined by Pythagorean Theorem, that is:
The length of segment AC is approximately 5.831 centimeters.
b) Since , the length of segment
is determined by this Pythagorean identity:
The angle ACD is determined by the following trigonometric expression:
The angle ACD is approximately 34.448º.
The dP/dt of the adiabatic expansion is -42/11 kPa/min
<h3>How to calculate dP/dt in an adiabatic expansion?</h3>An adiabatic process is a process in which there is no exchange of heat from the system to its surrounding neither during expansion nor during compression
Given b=1.5, P=7 kPa, V=110 cm³, and dV/dt=40 cm³/min
PVᵇ = C
Taking logs of both sides gives:
ln P + b ln V = ln C
Taking partial derivatives gives:
Substitutituting the values b, P, V and dV/dt into the derivative above:
1/7 x dP/dt + 1.5/110 x 40 = 0
1/7 x dP/dt + 6/11 = 0
1/7 x dP/dt = - 6/11
dP/dt = - 6/11 x 7
dP/dt = -42/11 kPa/min
Therefore, the value of dP/dt is -42/11 kPa/min
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