Answer:
611.73
Step-by-step explanation:
90 divided by 19 is 4.73 then add 607 which adds up to 611.73 then divide by 1 which is 611.73
Answer:
to gain upper- body strength
Step-by-step explanation:
Answer:
90.5
Step-by-step explanation:
Velocity is a time-derivative of displacement or the height, in this case.
![s(t)=-16t^2+v_0t](https://tex.z-dn.net/?f=s%28t%29%3D-16t%5E2%2Bv_0t)
![v(t) = -32t+v_0](https://tex.z-dn.net/?f=v%28t%29%20%3D%20-32t%2Bv_0)
At maximum height, the velocity is 0 and the height is 128.
Substitute these values into both equations above,
![0 = -32t+v_0](https://tex.z-dn.net/?f=0%20%3D%20-32t%2Bv_0)
![t=\dfrac{v_0}{32}](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7Bv_0%7D%7B32%7D)
From the first equation,
![128 = -16t^2 + v_0t](https://tex.z-dn.net/?f=128%20%3D%20-16t%5E2%20%2B%20v_0t)
Substitute for
.
![128 = -16(\dfrac{v_0}{32})^2 + v_0\times\dfrac{v_0}{32}](https://tex.z-dn.net/?f=128%20%3D%20-16%28%5Cdfrac%7Bv_0%7D%7B32%7D%29%5E2%20%2B%20v_0%5Ctimes%5Cdfrac%7Bv_0%7D%7B32%7D)
![128 = -v_0^2/64 + v_0^2/32](https://tex.z-dn.net/?f=128%20%3D%20-v_0%5E2%2F64%20%2B%20v_0%5E2%2F32)
![128=\dfrac{v_0^2}{64}](https://tex.z-dn.net/?f=128%3D%5Cdfrac%7Bv_0%5E2%7D%7B64%7D)
![v_0^2=8192](https://tex.z-dn.net/?f=v_0%5E2%3D8192)
![v_0=64\sqrt{2}=90.5](https://tex.z-dn.net/?f=v_0%3D64%5Csqrt%7B2%7D%3D90.5)
Answer:
n = 20
Step-by-step explanation:
Add 7n to both sides.
-5n + 7n - 12 = 2n - 12.
-7n + 7n + 28 = 28.
Now the equation is 2n - 12 = 28.
Add 12 to both sides to isolate the variable.
2n - 12 + 12 = 2n.
28 + 12 = 40.
Now the equation is 2n = 40. Divide both sides by 2.
n = 20.