the measure of one of the angles of a triangle is 35 degrees, the sum of the measures of the other two angles is 145 degrees and
1 answer:
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Answer:
The piecewise functions accurately represents charges based on Ben's cell phone plan is :
Step-by-step explanation:
Let x be the minutes over cell phone
Let f(x) represents the piecewise function that represents the charges based on Ben's cell phone plan.
We are given that Ben has a cell phone plan that provides 200 free minutes each month for a flat rate of $39.
So,
We are also given that For any minutes over 200, Ben is charged $0.35 per minute.
So, Minutes over 200 = x-200
Hence the piecewise functions accurately represents charges based on Ben's cell phone plan is :
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).