Answer: D-by decomposing it.
The organic matter present in the soil is decomposed by enzymatic biochemical reactions through the bacteria, microbes and worms present in the soil. The soil organic matter constitutes mostly animal and plant residues.
Majority of the organic matter is broken down by microbes or bacteria through enzymatic biochemical chemical reactions into CO2, water and heat.
The nitrogen, phosphorus and sulphur are mineralised and liberated into the air by several reactions.
Compounds which are resistant to the microbial reactions are modified into various componds or synthesized into new compounds by the microbes to form humus.
Answer:
The function is x = e^(-t/2) * (0.792*sin12t + 5cos12t)
Explanation:
we have to:
m = mass = 4 kg
k = spring constant = 577 N/m
c = damping constant = 4 N*s/m
The differential equation of motion is equal to:
m(d^2x/dt^2) + c(dx/dt) + k*x = 0
Replacing values:
4(d^2x/dt^2) + 4(dx/dt) + 577*x = 0
Thus, we have:
4*x^2 + 4*x + 577 = 0
we will use the quadratic equation to solve the expression:
x = (-4 ± (4^2 - (4*4*577))^1/2)/(2*4) = (-4 ± (-9216))/8 = (1/2) ± 12i
The solution is equal to:
x = e^(1/2) * (c1*sin12t + c2*cos12t)
x´ = (-1/2)*e^(1/2) * (c1*sin12t + c2*cos12t) + e^(-t/2) * (12*c1*cos12t - 12*c2*sin12t)
We have the follow:
x(0) = 5
e^0(0*c1 + c2) = 5
c2 = 5
x´(0) = 7
(-1/2)*e^0 * (0*c1 + c2) + e^0 * (12*c1 - 0*c2) = 7
(-1/2)*(5) + 12*c1 = 7
Clearing c1:
c1 = 0.792
The function is equal to:
x = e^(-t/2) * (0.792*sin12t + 5cos12t)
Answer:
B
Explanation:
Let m be mass of the object and v be speed of object b.
Kinetic Energy of B = 1/2 mv^2
Kinetic Energy of A = 1/2 m(2v)^2
= 2 mv^2
= 4 (1/2 mv^2)
= 4 × Kinetic Energy of B
Hence Object A has four times the kinetic energy of object B (<em>A</em><em>n</em><em>s</em><em> </em><em>B</em><em>)</em>
When light strikes a red object, the light waves of all colors except red are <em>absorbed</em> into the object, and never heard from again. <em> (B)</em>
The only thing left to bounce off of the object into anyone's eye is the waves of red.