<span>32 mph
First, let's calculate the location of the particle at t=1, and t=4
t=1
s = 6*t^2 + 2*t
s = 6*1^2 + 2*1
s = 6 + 2
s = 8
t = 4
s = 6*t^2 + 2*t
s = 6*4^2 + 2*4
s = 6*16 + 8
s = 96 + 8
s = 104
So the particle moved from 8 to 104 over the time period of 1 to 4 hours. And the average velocity is simply the distance moved over the time spent. So:
avg_vel = (104-8)/(4-1) = 96/3 = 32
And since the units were miles and hours, that means that the average speed of the particle over the interval [1,4] was 32 miles/hour, or 32 mph.</span>
Answer:
Most of materia isnt life.
Explanation:
The living organisms (life) aren't the most abundant thing in universe.
Hydrogen and helium are present in everywhere, but life isn't.
There is no reason to think because we have a lot of a thing, the life must be made for this thing.
The organic life just can exists because some mysterious properties about carbon, that is the basic foundation of life, carbon is a special element, why? We don't know, actually, it's a huge problem for science discover why the carbon can makes life be possible and other elements can't. But we know is this element that makes life possible.
So, note there isn't relation about the quantity of a material in Universe and the life constituition. In addition, look around, organic materials are very rare in Universe, Earth is one in lots of places and in most of this places there isn't sign of life.
Even in Earth the life looks abundant, in Universe it isn't, the same way in Universe the Hydrogen and Helium are abudant, in Earth isn't soo.
Answer:
The Height is H = 70.02 m
Explanation:
We are given that the
Initial length is =
= 
from what we are told in the question the circumference of the circle is =
This means that the Radius would be :
Let C denote the circumference
So

=> 

We are told that 1-meter bar of steel that increases its temperature by 1 degree C will expand
meters
Hence
The final length would be

Where T is the change in temperature
is the Coefficient of linear expansion for steel
let
denote the final length
So
![L_{final} =40000*10^{6} *[1+ 11*10^{-6}]](https://tex.z-dn.net/?f=L_%7Bfinal%7D%20%3D40000%2A10%5E%7B6%7D%20%2A%5B1%2B%2011%2A10%5E%7B-6%7D%5D)

Now the Height is mathematically represented as



The electrostatic energy stored in a capacitor with capacitance

, with a voltage difference V applied to it, and without dielectric, is given by

Now let's assume we fill the space between the two plates of the capacitor with a dielectric with constant k. The new capacitance of the capacitor is

So, the energy stored now is

Therefore, the ratio between the energies stored in the capacitor before and after the introduction of the dielectric is