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Triss [41]
3 years ago
13

A warehouse has three shelves that can hold 8, 12, or 16 skateboards. Each shelf has sections holding the same number of skatebo

ards. what is the greatest number of skateboards that can be put in a section?
Mathematics
1 answer:
Aliun [14]3 years ago
8 0
The greatest number of skateboards that can be stored would be the number that is the highest common factor of 8, 12, and 16

Factors of 8 = 1, 2, 4, 8
Factors of 12 = 1, 2, 3, 4, 6, 12
Factors of 16 = 1, 2, 4, 8, 16

The highest common factor  = 4

Hence, the greatest numbers of skateboard that can be stored in each section is 4 
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Answer:

the answer is incomplete, below is the complete question

"Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t. (Enter your answer in terms of s.) r(t) = 3ti + (1 - 4t)j + (1 + 2t)k r(t(s)) ="

answer

r(t(s)) = \frac{3s}{\sqrt{29} } i + (1 -\frac{4s}{\sqrt{29} }t)j + (1 + \frac{2s}{\sqrt{29} })k

Step-by-step explanation:

The step by step procedure is to first determine the differentiate the given vector function

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s(t)=\int\limits^t_ 0{\sqrt{29} } \, dx\\\\s(t)=\sqrt{29} t\\hence \\t(s)=\frac{s}{\sqrt{29} }

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r(t(s)) = \frac{3s}{\sqrt{29} } i + (1 -\frac{4s}{\sqrt{29} }t)j + (1 + \frac{2s}{\sqrt{29} })k

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