Answer:
Step-by-step explanation:
Acceleration is second derivative of distance and are related as:
Integrating both sides w.r.to t
Using initial value
We have to calculate the distance covered in time interval [0,5], so:
![\int\limits^5_0 \frac{ds}{dt}=\int\limits^5_0 {\frac{1}{t+2}} \, dt\\\\s(t)=[ln|t+2|]^5_0\\\\s(t)=ln|5+2|+ln|0+2|\\\\s(t)=(ln|7|+ln|2|)\,ft](https://tex.z-dn.net/?f=%5Cint%5Climits%5E5_0%20%5Cfrac%7Bds%7D%7Bdt%7D%3D%5Cint%5Climits%5E5_0%20%7B%5Cfrac%7B1%7D%7Bt%2B2%7D%7D%20%5C%2C%20dt%5C%5C%5C%5Cs%28t%29%3D%5Bln%7Ct%2B2%7C%5D%5E5_0%5C%5C%5C%5Cs%28t%29%3Dln%7C5%2B2%7C%2Bln%7C0%2B2%7C%5C%5C%5C%5Cs%28t%29%3D%28ln%7C7%7C%2Bln%7C2%7C%29%5C%2Cft)
Total angles on a straight line
(9x + 8) + 37 = 180
9x + 45 = 180
9x = 180 - 45
9x = 135
Divide through by 9
x = 15
Ok that is nice sir 8 is a equal number
Of purse you have to use the length and then the radius to find it out I haven’t really study this that much tho! It’s better to ask someone more knowledgeable then me
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Answer:
- Age (decreasing): Jason, Tim, Michael, Nick
- Height: (decreasing): Tim, Michael, Nick, Jason
- Weight: (decreasing): Nick, Jason, Tim, Michael
Step-by-step explanation:
The given tallest, oldest, lightest, and heaviest are easy to fill in.
Michael is already 4th in weight, so cannot be 1st or 4th in age. If Tim is older, then the age rank must be Jason, Tim, Michael, Nick.
Michael cannot be 1st, 3rd, or 4th in height, so must be second. If Jason is shorter than Nick, then the 3rd and 4th in height must be Nick and Jason.
The only remaining possibilities for weight are that Tim is 3rd (cannot be 2nd), so Jason is 2nd.
