Explanation:
The total resistance used to calculate the total resistance of the two parallel resistor is given by :

Taking reciprocal of the above equation.

We can also write the above equation as :

On simplification of above equation,

or

Hence, proved.
When an object moves its length contracts in the direction of motion. The faster it moves the shorter it gets in the direction of motion.
The object in this question moves and then stops moving. So it's length first contracts and then expands to its original length when the motion stops.
The speed doesn't have to be anywhere near the speed of light. When the object moves its length contracts no matter how fast or slow it's moving.
Answer:
The Electric flux will be 
Explanation:
Given
Strength of the Electric Field at a distance of 0.158 m from the point charge is

We know that the flux of the Electric Field can be calculated by using Gauss Law which is given by

Let consider a sphere of radius 0.158 m as Gaussian Surface at a distance of 0.158 m from the point charge and Let
be the flux of the Electric Field coming out\passing through it which is given by

It can be observed that same amount of flux which is passing through the Gaussian sphere of radius 0.158 is also passing through the Gaussian sphere of radius 0.142 m at a distance of 0.142 m from its centre.
Also it can be observed that the charge inside the two Gaussian Sphere mentioned have same value so the Flux of electric field through them will also be same.
So the electric flux through the surface of sphere that has given charge at its centre and that has radius 0.142 m is 
Answer:
The original dimensions of the building is 95 ft × 38 ft.
Explanation:
Let the original length be 'l' and original width be 'w'.
Given:
Original length (l) = 
Original width = 'w'.
So, 
Now, as per question:
Length and width is increased by 7 ft.
So, new length (l') = 
New width (w') = 
New perimeter (P) = 266 ft
Perimeter is given as:

Therefore, original width = 38 ft.
Original length is, 
Hence, the original dimensions of the building is 95 ft × 38 ft.
Answer:
a = -2.4 m/s²
Explanation:
Given,
The initial speed of the bus, u = 24 m/s
The final speed of bus, v = 12 m/s
Time taken to reach final speed is, t = 5.0 s
The acceleration of the body is given by the change in velocity by time
a = (v - u) / t
= (12 - 24) / 5
= -2.4 m/s²
The negative sign in the acceleration indicates that the bus is decelerating.
Therefore, the acceleration of the bus is, a = -2.4 m/s²