Answer:
, ![v(15\,s) = -11\,\frac{ft}{s}](https://tex.z-dn.net/?f=v%2815%5C%2Cs%29%20%3D%20-11%5C%2C%5Cfrac%7Bft%7D%7Bs%7D)
Step-by-step explanation:
The velocity function of the projectile is obtained by deriving the position function:
![v(t) = -9.8\cdot t + 136](https://tex.z-dn.net/?f=v%28t%29%20%3D%20-9.8%5Ccdot%20t%20%2B%20136)
Now, the velocities after 3 and 15 seconds are, respectively:
![v(3\,s) = -9.8\cdot (3) + 136](https://tex.z-dn.net/?f=v%283%5C%2Cs%29%20%3D%20-9.8%5Ccdot%20%283%29%20%2B%20136)
![v(3\,s) = 106.6\,\frac{ft}{s}](https://tex.z-dn.net/?f=v%283%5C%2Cs%29%20%3D%20106.6%5C%2C%5Cfrac%7Bft%7D%7Bs%7D)
![v(15\,s) = -9.8\cdot (15) + 136](https://tex.z-dn.net/?f=v%2815%5C%2Cs%29%20%3D%20-9.8%5Ccdot%20%2815%29%20%2B%20136)
![v(15\,s) = -11\,\frac{ft}{s}](https://tex.z-dn.net/?f=v%2815%5C%2Cs%29%20%3D%20-11%5C%2C%5Cfrac%7Bft%7D%7Bs%7D)
1/7 of 42 is smaller. 47/7= 6 < 18 = 36/2
Answer:
Step-by-step explanation: 11^9 -11^8 + 11^7 = 2163075981
2163075981/3 = 721025327
2163075981/37 = 58461513
Yes it is divisible by both 3 and 37
Answer:
12.124-3![\sqrt{22}](https://tex.z-dn.net/?f=%5Csqrt%7B22%7D)
Step-by-step explanation:
![\sqrt{75} = \sqrt{5^{2}*3} \\](https://tex.z-dn.net/?f=%5Csqrt%7B75%7D%20%3D%20%5Csqrt%7B5%5E%7B2%7D%2A3%7D%20%5C%5C)
![\sqrt{48}= \sqrt{2^{2}*2^{2}*3} \\](https://tex.z-dn.net/?f=%5Csqrt%7B48%7D%3D%20%5Csqrt%7B2%5E%7B2%7D%2A2%5E%7B2%7D%2A3%7D%20%5C%5C)
![\sqrt{198} =\sqrt{3^{2}*2*11} \\](https://tex.z-dn.net/?f=%5Csqrt%7B198%7D%20%3D%5Csqrt%7B3%5E%7B2%7D%2A2%2A11%7D%20%5C%5C)
![\sqrt{75} +\frac{1}{2} *\sqrt{48} - \sqrt{198} \\\\\sqrt{5^{2}*3} +\frac{1}{2} *\sqrt{2^{2}*2^{2}*3} - \sqrt{3^{2}*2*11} \\\\5\sqrt{3} +\frac{1}{2} *4 \sqrt{3} - 3 \sqrt{2*11} \\\\5\sqrt{3} +2 \sqrt{3} - 3 \sqrt{22} \\\\5*1.732 +2*1.732 - 3 \sqrt{22} \\\\8.66 + 3.464 - 3 \sqrt{22}\\\\12.124- 3 \sqrt{22}](https://tex.z-dn.net/?f=%5Csqrt%7B75%7D%20%2B%5Cfrac%7B1%7D%7B2%7D%20%2A%5Csqrt%7B48%7D%20-%20%5Csqrt%7B198%7D%20%5C%5C%5C%5C%5Csqrt%7B5%5E%7B2%7D%2A3%7D%20%2B%5Cfrac%7B1%7D%7B2%7D%20%2A%5Csqrt%7B2%5E%7B2%7D%2A2%5E%7B2%7D%2A3%7D%20-%20%5Csqrt%7B3%5E%7B2%7D%2A2%2A11%7D%20%5C%5C%5C%5C5%5Csqrt%7B3%7D%20%2B%5Cfrac%7B1%7D%7B2%7D%20%2A4%20%5Csqrt%7B3%7D%20-%203%20%5Csqrt%7B2%2A11%7D%20%5C%5C%5C%5C5%5Csqrt%7B3%7D%20%2B2%20%5Csqrt%7B3%7D%20-%203%20%5Csqrt%7B22%7D%20%5C%5C%5C%5C5%2A1.732%20%2B2%2A1.732%20-%203%20%5Csqrt%7B22%7D%20%5C%5C%5C%5C8.66%20%2B%203.464%20-%203%20%5Csqrt%7B22%7D%5C%5C%5C%5C12.124-%203%20%5Csqrt%7B22%7D)
Y= 21 so HQE = 42 and AQG= 21