Answer:
1) 1.1 seconds
2) 13.5 feet
<h3>Part A</h3>
![\rightarrow \sf -16t^2 + 5t + 15 = 0](https://tex.z-dn.net/?f=%5Crightarrow%20%5Csf%20%20-16t%5E2%20%2B%205t%20%2B%2015%20%3D%200)
<u>Apply quadratic formula</u>:
![\rightarrow \sf t= \dfrac{-5\pm \sqrt{5^2-4\left(-16\right)\cdot \:15}}{2\left(-16\right)}](https://tex.z-dn.net/?f=%5Crightarrow%20%5Csf%20t%3D%20%20%20%5Cdfrac%7B-5%5Cpm%20%5Csqrt%7B5%5E2-4%5Cleft%28-16%5Cright%29%5Ccdot%20%5C%3A15%7D%7D%7B2%5Cleft%28-16%5Cright%29%7D)
<u>Simplify following</u>
![\rightarrow \sf t=-\dfrac{-5+\sqrt{985}}{32},\:t=\dfrac{5+\sqrt{985}}{32}](https://tex.z-dn.net/?f=%5Crightarrow%20%5Csf%20t%3D-%5Cdfrac%7B-5%2B%5Csqrt%7B985%7D%7D%7B32%7D%2C%5C%3At%3D%5Cdfrac%7B5%2B%5Csqrt%7B985%7D%7D%7B32%7D)
In decimal form:
![\rightarrow \sf t=-0.825 ,\:t=1.137](https://tex.z-dn.net/?f=%5Crightarrow%20%5Csf%20t%3D-0.825%20%2C%5C%3At%3D1.137)
Conclusion:
As time is be only positive: t = 1.1 seconds
<h3>Part B</h3>
![\rightarrow \sf h=-16t^2 + 5t + 15](https://tex.z-dn.net/?f=%5Crightarrow%20%5Csf%20%20h%3D-16t%5E2%20%2B%205t%20%2B%2015)
<u>insert t = 0.5</u>
![\rightarrow \sf h=-16(0.5)^2 + 5(0.5) + 15](https://tex.z-dn.net/?f=%5Crightarrow%20%5Csf%20%20h%3D-16%280.5%29%5E2%20%2B%205%280.5%29%20%2B%2015)
<u>simplify</u>
![\rightarrow \sf h=13.5](https://tex.z-dn.net/?f=%5Crightarrow%20%5Csf%20%20h%3D13.5)
your answer would be y=2/3x+1
Answer:
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He has 24 meals that use milk in 8 days. If he finished 2 gallons in 24 sittings, he uses 2/24 of a gallon a day which simplifies to 1/12 gallon a day.
Answer:
470,000
Step-by-step explanation:
since it is rounding, it would be to 470000.