I think is a because if you see and do it you could see
Answer:
Step-by-step explanation:
7 x 6 x 4 x 4 x 3= 2016
Answer:
Step-by-step explanation:
This is good! The length of the metal is 20 inches longer than the width. But we fold up 4-inch flaps on each side, so the height of the box is 4 inches, and the length and width will each decrease by 8 inches (4 inches on each side). Since the length and width decrease by the same amount, the length will still be 20 inches longer than the width. So the equations would be:
l = w + 20
vol = l x w x h = 1716 in3
1716 = (w + 20)(w)(4)
1716 = 4w2 + 80w
4w2 + 80w - 1716 = 0
4(w2 + 20w - 429) = 0
4(w + 33)(w - 13) = 0
w + 33 = 0, so w = -33
w - 13 = 0, so w = 13
Since the width can't be negative, the width of the box is 13 and the length is 33 (13 + 20).
But remember, the length and width of the piece of metal are each 8 inches longer than the box, so it was 41 inches by 21 inches.
Answer:
(a) 0 s
(b) 4.00 m
(c) -0.76 s
(d) +0.76 s
Step-by-step explanation:
![x=4.00-7.00t^2](https://tex.z-dn.net/?f=x%3D4.00-7.00t%5E2)
It stops momentarily when the velocity,
is 0.
is the derivate of
.
(a) ![v=\frac{dx}{dt}=-14.00t](https://tex.z-dn.net/?f=v%3D%5Cfrac%7Bdx%7D%7Bdt%7D%3D-14.00t)
Setting this to 0,
![-14.00t=0](https://tex.z-dn.net/?f=-14.00t%3D0)
![t=0](https://tex.z-dn.net/?f=t%3D0)
(b) Substitute this value for
in
to get its position.
m
It passes the origin when ![x=0](https://tex.z-dn.net/?f=x%3D0)
![4.00-7.00t^2=0](https://tex.z-dn.net/?f=4.00-7.00t%5E2%3D0)
![7.00t^2=4](https://tex.z-dn.net/?f=7.00t%5E2%3D4)
![t^2=\frac{4}{7}](https://tex.z-dn.net/?f=t%5E2%3D%5Cfrac%7B4%7D%7B7%7D)
![t=\pm\sqrt{\frac{4}{7}}](https://tex.z-dn.net/?f=t%3D%5Cpm%5Csqrt%7B%5Cfrac%7B4%7D%7B7%7D%7D)
(c) The negative time is ![t=-\sqrt{\frac{4}{7}} =-0.76 s](https://tex.z-dn.net/?f=t%3D-%5Csqrt%7B%5Cfrac%7B4%7D%7B7%7D%7D%20%3D-0.76%20s)
(d) The positive time is ![t=+\sqrt{\frac{4}{7}} =+0.76 s](https://tex.z-dn.net/?f=t%3D%2B%5Csqrt%7B%5Cfrac%7B4%7D%7B7%7D%7D%20%3D%2B0.76%20s)