Answer:
e^-4t e^-5t
Explanation:
solving s²+9s+20 quadratically we have (s+4)(s+5)
x(s) can be written as x(s) =(1/s+4)(1/s+5)
if we take the laplace inversve
L-¹ (s)=L-1(1/s+4) L-1(1/s+5)
we have e^-4t e^-5t
Answer:
a The velocity of the third particle is 
b The total kinetic energy increase 
Explanation:
To solve this question we are going to be using the concept of conservation of momentum which is mathematically represented as

From the question
Mass of unstable atomic nucleus 
Mass of x-axis particle 
Velocity of x-axis particle 
Mass of y-axis particle 
Velocity of y-axis particle 
Since the initial mass is known we can obtain the mass of the third particle
Using the conservation of mass mathematical expression



Using the mathematical expression above for conservation of momentum


The above is the vector solution now to obtain the value in numeric form we evaluate the magnitude of the vector


To obtain the total increase in kinetic energy which is mathematically represented as

![E =\frac{1}{2} [(5.20*10^{-27})(6.0*0^{6})^2 + (8.44*10^{-27})(4.00*10^6)^2+\\\\(2.16*10^{-27})(21.285*10^6)^2]](https://tex.z-dn.net/?f=E%20%3D%5Cfrac%7B1%7D%7B2%7D%20%5B%285.20%2A10%5E%7B-27%7D%29%286.0%2A0%5E%7B6%7D%29%5E2%20%2B%20%288.44%2A10%5E%7B-27%7D%29%284.00%2A10%5E6%29%5E2%2B%5C%5C%5C%5C%282.16%2A10%5E%7B-27%7D%29%2821.285%2A10%5E6%29%5E2%5D)

Answer:
The drawing is attached below.
Explanation:
According to the drawing, we can see that the point "0" marked on the mirror, is the point that allows the formation of an angle between Vittorio's eyes and the place where his shirt logo is. In summary, the point on the mirror that needs to be cleaned, so that Vittorio can see only the logo of his shirt, is the point that represents equal vertical distances between Vittorio's eyes and the shirt's logo, since these distances present the same angle.
Electrons are located outside the nucleus