Answer:
the answer is D (5/3,-5/3)
Step-by-step explanation:
Answer:
The ordered pair that describes the location of K' is (5,4).
Step-by-step explanation:
Reflection over the x-axis:
When a point is reflected over the x-axis, it's x-coordinate stays the same, while the signal of the y-coordinate is changed. So
(x,y) -> (x,-y)
In this question:
Point K(5,-4)
Reflection over the x-axis:
(5,-4) -> (5,-(-4)) -> (5,4)
The ordered pair that describes the location of K' is (5,4).
<span>So there
are 33 boys who tried out for track. And this is 27.5 % of the total boys. And there
15% of the girls who tried out for the track. And in total 22.5 % of the total
population tried out for track</span>
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:
0.8522727 miles
Step-by-step explanation: