Answer:
4/12 which reduces to 1/3
Step-by-step explanation:
4 out of 12 months have 30 days.
Answer:
298
Step-by-step explanation:
Answer:105
Step-by-step explanation:55-66=74 74times
ANSWER
![=102 \sqrt{ 17}](https://tex.z-dn.net/?f=%20%3D102%20%5Csqrt%7B%2017%7D)
EXPLANATION
The equation of the curve is:
![x = 9 + 9 {t}^{2}](https://tex.z-dn.net/?f=x%20%3D%209%20%2B%209%20%7Bt%7D%5E%7B2%7D%20)
![y = 6 + 6 {t}^{3}](https://tex.z-dn.net/?f=y%20%3D%206%20%2B%206%20%7Bt%7D%5E%7B3%7D%20)
We differentiate to obtain:
![\frac{dx}{dt} = 18t](https://tex.z-dn.net/?f=%20%5Cfrac%7Bdx%7D%7Bdt%7D%20%20%3D%2018t)
![\frac{dy}{dt} = 18t](https://tex.z-dn.net/?f=%20%5Cfrac%7Bdy%7D%7Bdt%7D%20%20%3D%2018t)
The length of the arc
![l = \int _0 ^{4} \sqrt{ {( \frac{dx}{dt} )}^{2} + {( \frac{dy}{dt} )}^{2} } dt](https://tex.z-dn.net/?f=l%20%3D%20%20%5Cint%20_0%20%5E%7B4%7D%20%20%5Csqrt%7B%20%20%7B%28%20%5Cfrac%7Bdx%7D%7Bdt%7D%20%29%7D%5E%7B2%7D%20%2B%20%7B%28%20%5Cfrac%7Bdy%7D%7Bdt%7D%20%29%7D%5E%7B2%7D%20%7D%20dt)
This implies that:
![= \int _0 ^{4} \sqrt{ {( 18t )}^{2} + {( {18 {t}^{2} } )}^{2} } dt](https://tex.z-dn.net/?f=%20%3D%20%20%5Cint%20_0%20%5E%7B4%7D%20%20%5Csqrt%7B%20%20%7B%28%2018t%20%29%7D%5E%7B2%7D%20%2B%20%7B%28%20%20%7B18%20%7Bt%7D%5E%7B2%7D%20%7D%20%29%7D%5E%7B2%7D%20%7D%20dt)
![= \int _0 ^{4} 18t \sqrt{ 1+ { {18 {t}^{2} } }} dt](https://tex.z-dn.net/?f=%20%3D%20%5Cint%20_0%20%5E%7B4%7D%2018t%20%5Csqrt%7B%20%201%2B%20%7B%20%7B18%20%7Bt%7D%5E%7B2%7D%20%7D%20%7D%7D%20dt)
![=102 \sqrt{ 17}](https://tex.z-dn.net/?f=%20%3D102%20%5Csqrt%7B%2017%7D)
On Saturday Nikki and Tyler walked to the local farmers market Nikki bought 8 apples for $6 dollars and Tyler brought 3 fewer apples than Nikki. How much did Tyler spend on apples?
Tyler brought 8 apples - 3 apples = 5 apples.
To calculate the price of 5 apples we have to establish a proportion :
If 8 apples cost $6
Then 5 apples will cost $X
X = 5apples * $6/8apples = $3.75
Answer : Tyler spent on apples $3.75
Hope this helps!