Answer:
- KEi = 2.256×10^5 J
- KEf = 9.023×10^5 J
- 4 times as much work
Step-by-step explanation:
The kinetic energy for a given mass and velocity is ...
KE = (1/2)mv^2 . . . . . m is mass
At its initial speed, the kinetic energy of the car is ...
KEi = (1/2)(810 kg)(23.6 m/s)^2 ≈ 2.256×10^5 J . . . . . m is meters
At its final speed, the kinetic energy of the car is ...
KEf = (1/2)(810 kg)(47.2 m/s)^2 ≈ 9.023×10^5 J
The ratio of final to initial kinetic energy is ...
(9.023×10^5)/(2.256×10^5) = 4
4 times as much work must be done to stop the car.
_____
You know this without computing the kinetic energy. KE is proportional to the square of speed, so when the speed doubles, the KE is multiplied by 2^2 = 4.
If a company changes from full-cost pricing to variable cost pricing but retains the same markup percentage, their net income will likely increase. Although variable cost pricing is risky since the price will be dependent on the other factors of the product.
<span>y=-3x-4
slope = 3
perpendicular to line then slope = 1/3
answer
</span>slope of a line perpendicular to <span>y=-3x-4
</span><span>=
1/3
</span>
Answer:
= 2x²( 2x+ 1) + 2x
or
= 2x (2x² + x + 1)
Step-by-step explanation:
Given in the question two functions,
f ( x ) = 9x³ + 2x² − 5x + 4
g ( x ) = 5x³ − 7 x + 4
To find,
f ( x ) − g ( x )
Substitute each functions
= 9x³ + 2x² − 5x + 4 - ( 5x³ − 7 x + 4 )
Remove parentheses
= 9x³ + 2x² − 5x + 4 - 5x³ + 7 x - 4
Combine like terms and add them up
= 4x³ + 2x² + 2x
Factorise
= 2x²( 2x+ 1) + 2x
or
= 2x (2x² + x + 1)
So the final answer in factored form is 2x²( 2x+ 1) + 2x or 2x (2x² + x + 1)
This can't be further factorise because answer will be in complex numbers
