Based on the weight and the model that is given, it should be noted that W(t) in radians will be W(t) = 0.9cos(2πt/366) + 8.2.
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How to calculate the radian.</h3>
From the information, W(t) = a cos(bt) + d. Firstly, calculate the phase shift, b. At t= 0, the dog is at maximum weight, so the cosine function is also at a maximum. The cosine function is not shifted, so b = 1.
Then calculate d. The dog's average weight is 8.2 kg, so the mid-line d = 8.2. W(t) = a cos t + 8.2. Then calculate a, the dog's maximum weight is 9.1 kg. The deviation from the average is 9.1 kg - 8.2 kg = 0.9 kg. W(t) = 0.9cost + 8.2
Lastly, calculate t. The period p = 2π/b = 2π/1 = 2π. The conversion factor is 1 da =2π/365 rad. Therefore, the function with t in radians is W(t) = 0.9cos(2πt/365) + 8.2.
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Step-by-step explanation:
A number line consists only of one axis, conventionally a horizontal axis. Just create a line, and scale it according to practicality and your preference. Usually, it has an interval of 1 unit. But for this case, since it is in fraction form, the interval should be smaller so that you can see clearly where it is located.
In decimal form, 13/17 is equal to 0.7647058824. Let's just round this off to 0.764, that can suffice already. So, you would expect it to be between 0.7 and 0.8 on the number line. Just estimate visually where it is located. Since, it is more than 0.75, the dot would be just slightly closer to 0.8 than 0.7. The exact location is shown in the attached picture.
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Step-by-step explanation:j
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relate the values and find the correct answer