Answer:
b = -2c ± [√(4π²c² + πA)]/π
Step-by-step explanation:
A = 4πbc + πb^2
A = 4πbc + πb²
πb² + 4πbc - A = 0
Using the quadratic formula to solve this quadratic equation.
The quadratic formula for the quadratic equation, pb² + qb + r = 0, is given as
b = [-q ± √(q² - 4pr)] ÷ 2p
Comparing
πb² + 4πbc - A = 0 with pb² + qb + r = 0,
p = π
q = 4πc
r = -A
b = [-q ± √(q² - 4pr)] ÷ 2p
b = {-4πc ± √[(4πc)² - 4(π)(-A)]} ÷ 2π
b = {-4πc ± √[16π²c² + 4πA]} ÷ 2π
b = (-4πc/2π) ± {√[16π²c² + 4πA] ÷ 2π}
b = -2c ± [√(4π²c² + πA)]/π
Hope this Helps!!!
Answer:
The change in temperature per minute for the sample, dT/dt is 71.
°C/min
Step-by-step explanation:
The given parameters of the question are;
The specific heat capacity for glass, dQ/dT = 0.18 (kcal/°C)
The heat transfer rate for 1 kg of glass at 20.0 °C, dQ/dt = 12.9 kcal/min
Given that both dQ/dT and dQ/dt are known, we have;


Therefore, we get;


For the sample, we have the change in temperature per minute, dT/dt, presented as follows;

Function and its inverse was graphed.
<u>Step-by-step explanation:</u>
y = -4x²- 2
To find the inverse function of y = -4x²- 2 we have to transform the formula to calculate x in terms of y.
y = -4x²- 2
-4x² = y - 2
x = √(y-2) / -4
Now we can change the letters to follow the convention that x is the independent variable and y is the function's value:
y = √(x-2) / -4
Now we have to draw the graph as,
It was side by side that is LHS is the function and the RHS is its inverse.
<span>(x + 3)(x² – 6x + 5)= x³-6x²+5x+3x²-18x+15 =x³ -3x²-13x+15 Answer B</span>
Answer:
y = 1/2x + 3
O f(x)= 1/2x+3
Step-by-step explanation:
f(x) = 2x - 6
y = 2x - 6
x = 2y - 6
2y = x + 6
y = (x + 6)/2
y = 1/2x + 3