The geometric mean of two numbers is the square root of their product:
So, if the product is 8, the geometric mean is
The degree of the sum of the expressions x⁴ +4y₂ -5xy and x₃ - y + 2xy
2 answers:
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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
Learn more about adiabatic expansion on:
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Answer:
A = $32,652.44
Step-by-step explanation:
Given: Principal (P) = 30,760.08, Annual Rate (R) = 12%, Time (t in years) = 0.5
To find: How much David needs to invest monthly
Formula:
Solution: To find, simply add principal + interest
First, convert R as a percent to r as a decimal
r = R/100
r = 12/100
r = 0.12 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 30,760.08(1 + 0.12/12)(12)(0.5)
A = 30,760.08(1 + 0.01)(6)
A = $32,652.44
Therefore;
The total amount David will obtain with 30,760.08 for 6 months, 12%is $32,652.44.