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).
<span>"5th root of x^4" hoil
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Answer:
-2/3x
Step-by-step explanation:
To find the slope, you would do rise/run.
To get to one point to the other, you move 2 units down and 3 to the right.
Hope this helps!
Answer:
<em>3y+5x=6</em>
Step-by-step explanation:
<u>Equation of the Line</u>
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

The line passes through the points (6,-8) and (-3,7), thus:


Simplifying:

Multiplying by 3:


Moving all the variables to the left side:
3y + 5x = 30 - 24
3y + 5x = 6
There are 37 balloons total and there are 7 orange balloons. Therefore, the probability is 7/37.