Answer:
Equilibrium quantity = 5
Equilibrium price = 40
Explanation:
given:
p = -x²-3x+80
p = 7x+5
For the equilibrium quantity the price from both the functions will be equal
thus, we have
-x² - 3x + 80 = 7x+5
⇒ x² +3x + 7x + 5 - 80 = 0
⇒x² + 10x - 75 = 0
now solving for x
x²- 5x + 15x -75 = 0
x(x-5) + 15(x-5) = 0
therefore, the two roots of the equation are
x = 5 and x = -15
since the quantity cannot be in negative
therefore, the equilibrium quantity will be = 5
now the equilibrium price can be found out by substituting the equilibrium quantity in any of the equation
thus,
p = -(5)² -3(5) + 80 = 40
or
p = 7(5) + 5 = 40
Answer:
1500 m/s
Explanation:
Recall that for a wave,
Speed = frequency x wavelength
here we are given frequency = 500 Hz and wavelength = 3m
simply substitute into above equation
Speed = 500 Hz x 3m
= 1500 m/s
The input work = Force x distance
So I/P = 45 x 1.5 = 67.5 N.m
The output work = Force x distance
So, O/P = 87.6 x 0.4 = 35.04 N.m
Efficiency = (output work / Inputwork) x 100
= ( 35.04/67.5) x100
Efficiency = 51.91 %
Answer:
No it will not make to the top of the hill
Explanation:
From the question we are told that
The velocity is 
The height of the hill is 
Generally from the law of energy conservation we have that
The kinetic energy of the pluck at the level position = The potential energy of the pluck at the maximum height the pluck can get to
So
=> 
=> 
=> 
Given that the maximum height which the pluck can get to at this speed given in the question is less than the height of the hill then conclusion will be that the pluck will not make it to the top of the hill
Explanation:
Metals get charged by induction ,the charges are transferred from the electroscope causing earthing: Charges on the electroscope induce opposite charges on the conductor.
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