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densk [106]
3 years ago
8

Wren and Jenni are reading the same book. Wren is on page 12 and reads 4 pages every night. Jenni is on page 4 and reads 5 pages

every night. After how many nights will they have read the same number of pages? How many pages will that be? Graph the system
Mathematics
1 answer:
sergejj [24]3 years ago
3 0
Night 1-
               Wren 12
               Jenni 4
Night 2-
               Wren 16
               Jenni 9
Night 3-
               Wren 20
               Jenni 14
Night 4-
               Wren 24
               Jenni 19
Night 5-
               Wren 28
               Jenni 24
Night 6-
               Wren 32
               Jenni 29
Night 7-
               Wren 36
               Jenni 34
Night 8-
               Wren 40
               Jenni 39
Night 9-
               Wren 44
               Jenni 44
It would be 9 nights.
Graph using (x) and (y), Wren being (x) and Jenni being (y)
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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:

\left | a \right | = Amplitude

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c = The phase shift

d = The vertical shift

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x = The time duration of motion of the wave, t

The given data are;

The amplitude \left | a \right | = 2 feet

Time for the wave to pass the dock

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Therefore;

The time for each complete cycle = 2 × 30 seconds  = 60 seconds

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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)

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