Move the decimal places, the answer is 6.7 x 10^6
The initial age of 10 years and the spaceship speed of 0.60•c, gives the Andrea's age at the end of the trip as 18 years.
<h3>How can Andrea's new age be calculated?</h3>
The time dilation using the Lorentz transformation formula is presented as follows;

From the question, we have;
The spaceship's speed, <em>v</em> = 0.6•c
∆t = Rest frame, Courtney's time, change = 10 years
Therefore;

The time that elapses as measured by Andrea = 8 years
Andrea's age, <em>A</em>, at the end of the trip is therefore;
A = 10 years + 8 years = 18 years
Learn more about the Lorentz transformation formula here:
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Answer:
The cosine function to model the height of a water particle above and below the mean water line is h = 2·cos((π/30)·t)
Step-by-step explanation:
The cosine function equation is given as follows h = d + a·cos(b(x - c))
Where:
= Amplitude
2·π/b = The period
c = The phase shift
d = The vertical shift
h = Height of the function
x = The time duration of motion of the wave, t
The given data are;
The amplitude
= 2 feet
Time for the wave to pass the dock
The number of times the wave passes a point in each cycle = 2 times
Therefore;
The time for each complete cycle = 2 × 30 seconds = 60 seconds
The time for each complete cycle = Period = 2·π/b = 60
b = π/30 =
Taking the phase shift as zero, (moving wave) and the vertical shift as zero (movement about the mean water line), we have
h = 0 + 2·cos(π/30(t - 0)) = 2·cos((π/30)·t)
The cosine function is h = 2·cos((π/30)·t).
No, A and B are not independent events
Step-by-step explanation:
Let us study the meaning independent probability
- Two events are independent if the result of the second event is not affected by the result of the first event
- If A and B are independent events, the probability of both events is the product of the probabilities of the both events P (A and B) = P(A) · P(B)
∵ P(A) = 
∵ P(B) = 
∴ P(A) . P(B) =
× 
∴ P(A) . P(B) = 
∴ P(A) . P(B) = 
∵ P(A and B) = 
∵ P(A) . P(B) = 
- The two answers are not equal
∴ P (A and B) ≠ P(A) · P(B)
- In independent events P (A and B) = P(A) · P(B)
∴ A and B are not independent events
No, A and B are not independent events
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Answer:
X+y=180, Y=Z, X+Z=180
Step-by-step explanation:
Hope this helps, i remember doing this lesson.