Correct me if I'm wrong, but isn't it 1?
((1/5)/6)x6=1/5
Step-by-step explanation:
An exponentially decaying signal is of the form x(t) = Ce^(-αt) in terms of an initial value C and a decay rate α > 0. The signal equals a fraction 1/e of its initial value after the characteristic time scale t = 1/α.
Given
x(t) = 2e^(-t/3) + e^(-t) + 3e^(-t/2)
The decay rates are: 1/3, 1, and 1/2.
The slowest decay rate α is the minimum of {1/3, 1, 1/2} = 1/3.
The corresponding time scale
is only 2/3 times larger than the next faster decay rate 1/2, so the decay rates are NOT well separated. The slowest component is larger than 0.5 as long as t < (ln3)/0.5 ≈ 2.2.
The other two components add
up to more than the value of the slowest component. We conclude that the component with slowest decay rate dominates measurements on any interval even in the presence of noise.
Answer:
there are 0 solutions to the equation
Step-by-step explanation:
To know how many solutions are in the problem, we have to solve for x and see what result we have left. According to the result, we will know how many solutions there are
8x + 47 = 8(x + 5)
8x + 47 = 8*x + 8*5
8x + 47 = 8x + 40
8x - 8x = 40 - 47
0 = -7
As we can see we are left with an equality that is not fulfilled, this means that there is no solution to the problem, at least in the field of real numbers
Answer:
fifth graders= 93 shirts
sixth graders= 156 shirts
teachers= 51 shirts
Step-by-step explanation:
31% of 300 is 93
52% of 300 is 156
156+93= 249
300-249= 51
