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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Solution:
The permutation formula is expressed as
The combination formula is expressed as
where
Given that 6 objects are taken at a time from 8, this implies that
Thus,
Number of permuations:
Number of combinations:
Hence, there are 28 combinations and 20160 permutations.
Answer:
Anita Bath's home was worth $ 593,195.62 in 2007.
Step-by-step explanation:
Given that from 1992 to 2007 the average home price increased by 8% per year, and in 1992 Anita Bath bought a house for $ 187,000, to determine what was it worth in 2007 the following calculation must be performed:
2007 - 1992 = 15
187000 x 1.08 ^ 15 = X
187000 x 3.172 = X
593,195.62 = X
Therefore, Anita Bath's home was worth $ 593,195.62 in 2007.
The slope formula is y2-y1 divided by x2- x1 so -8-6=-14 and -1+3=2
-14/2 =-7
Answer:
9(2p-18) and 2(9p-18)
Step-by-step explanation:
