Answer:
A. 3s
Step-by-step explanation:
The height of the object after t seconds is given by:
![h(t) = -16t^2 + 144](https://tex.z-dn.net/?f=h%28t%29%20%3D%20-16t%5E2%20%2B%20144)
When will the object hit the ground?
It hits the ground after t seconds, and t is found when
. So
![h(t) = -16t^2 + 144](https://tex.z-dn.net/?f=h%28t%29%20%3D%20-16t%5E2%20%2B%20144)
![0 = -16t^2 + 144](https://tex.z-dn.net/?f=0%20%3D%20-16t%5E2%20%2B%20144)
![16t^2 = 144](https://tex.z-dn.net/?f=16t%5E2%20%3D%20144)
![t^2 = \frac{144}{16}](https://tex.z-dn.net/?f=t%5E2%20%3D%20%5Cfrac%7B144%7D%7B16%7D)
![t^2 = 9](https://tex.z-dn.net/?f=t%5E2%20%3D%209)
![t = \sqrt{9}](https://tex.z-dn.net/?f=t%20%3D%20%5Csqrt%7B9%7D)
![t = 3](https://tex.z-dn.net/?f=t%20%3D%203)
3 seconds, so the correct answer is given by option a.
Answer:
Step-by-step explanation:
dy/dt=(y+1)(2√t)
separate the variables and integrating
![\int \frac{dy}{y+1} =\int\ {2\sqrt{t} } \, dt \\log(y+1)=2\frac{t^{\frac{3}{2} } }{\frac{3}{2} } +c\\y+1=e^{\frac{4}{3}t^{\frac{3}{2}+c } } =Ce^{t^{\frac{3}{2} }} \\y=Ce^{t^{\frac{3}{2} } } -1](https://tex.z-dn.net/?f=%5Cint%20%5Cfrac%7Bdy%7D%7By%2B1%7D%20%3D%5Cint%5C%20%7B2%5Csqrt%7Bt%7D%20%7D%20%5C%2C%20dt%20%5C%5Clog%28y%2B1%29%3D2%5Cfrac%7Bt%5E%7B%5Cfrac%7B3%7D%7B2%7D%20%7D%20%7D%7B%5Cfrac%7B3%7D%7B2%7D%20%7D%20%2Bc%5C%5Cy%2B1%3De%5E%7B%5Cfrac%7B4%7D%7B3%7Dt%5E%7B%5Cfrac%7B3%7D%7B2%7D%2Bc%20%7D%20%20%7D%20%3DCe%5E%7Bt%5E%7B%5Cfrac%7B3%7D%7B2%7D%20%7D%7D%20%5C%5Cy%3DCe%5E%7Bt%5E%7B%5Cfrac%7B3%7D%7B2%7D%20%7D%20%7D%20-1)
Answer:
This survey may be unfair because they are asking the question to a group of kids who are already biased because they all play a specific sport and are most likely going to chooses that sport. Therefore the answers will most likely be basketball because it is the basketball team taking the survey
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
add the like terms
3x - 9x + 7 - 3 = -8 ➡ -6x +4 = -8
-6x = -8 -4 ➡ 6x = 12 and x = 2
Answer:
= 14.7 percent
Step-by-step explanation:
= 100 - 85.3
= 14.7 percent