Answer:
2599.50
Step-by-step explanation:
7500 - 2(2450.25) = 2599.50
Answer:$1.25
Step-by-step explanation:
2 divided by 1.60=$1.25
3 divided by 2.40= $1.25
5 divided by 4.00= $1.25
8 divided by 6.40 = $1.25
Answer: 8.73 ft/s
Step-by-step explanation:
We have the following equation that models the motion of the rock:
![h(t)=-16t^{2}+64t+180](https://tex.z-dn.net/?f=h%28t%29%3D-16t%5E%7B2%7D%2B64t%2B180)
Where
is the height of the rock at a time
.
Now, if
we can find
and then the velocity of the rock at that height:
![48=-16t^{2}+64t+180](https://tex.z-dn.net/?f=48%3D-16t%5E%7B2%7D%2B64t%2B180)
Rearranging the equation:
![-16t^{2}+64t+132=0](https://tex.z-dn.net/?f=-16t%5E%7B2%7D%2B64t%2B132%3D0)
Multiplying the equation by -1:
![16t^{2}-64t-132=0](https://tex.z-dn.net/?f=16t%5E%7B2%7D-64t-132%3D0)
Solving with the quadratic formula
, where
,
,
.
![t=\frac{-(-64)\pm\sqrt{(-64)^{2}-4(16)(-132)}}{2(16)}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-%28-64%29%5Cpm%5Csqrt%7B%28-64%29%5E%7B2%7D-4%2816%29%28-132%29%7D%7D%7B2%2816%29%7D)
Choosing the positive result of the equation:
Since velocity
is defined as the traveled distance
in a given time
, we have:
![V=\frac{h(t)}{t}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7Bh%28t%29%7D%7Bt%7D)
![V=\frac{48 ft}{5.5 s}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B48%20ft%7D%7B5.5%20s%7D)
This is the velocity of the rock at the height of 48 feet
Answer:
60 yards
Step-by-step explanation:
300 = 2(30 + w) + 2(w)
300 = 60 +2w + 2w
300 = 60 + 4w
240 = 4w
60 = w
Answer:
y=-7
Step-by-step explanation:
when it is hohorizontal lile this it is y=-7