Answer:
Time to land on 11ft is 4.25 seconds
Step-by-step explanation:
Given
![y = 300 - 16t^2](https://tex.z-dn.net/?f=y%20%3D%20300%20-%2016t%5E2)
Required
Solve for t when height is 11ft
This implies that ![y = 11](https://tex.z-dn.net/?f=y%20%3D%2011)
So: substitute 11 for y in ![y = 300 - 16t^2](https://tex.z-dn.net/?f=y%20%3D%20300%20-%2016t%5E2)
![11 = 300 - 16t^2](https://tex.z-dn.net/?f=11%20%3D%20300%20-%2016t%5E2)
Collect Like Terms
![16t^2 = 300 - 11](https://tex.z-dn.net/?f=16t%5E2%20%3D%20300%20-%2011)
![16t^2 = 289](https://tex.z-dn.net/?f=16t%5E2%20%3D%20289)
Express both sides as squares
![4^2 * t^2 = 17^2](https://tex.z-dn.net/?f=4%5E2%20%2A%20t%5E2%20%3D%2017%5E2)
![(4t)^2 = 17^2](https://tex.z-dn.net/?f=%284t%29%5E2%20%3D%2017%5E2)
Take square roots of both sides (ignore negative)
![4t = 17](https://tex.z-dn.net/?f=4t%20%3D%2017)
Solve for t
![t = \frac{17}{4}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B17%7D%7B4%7D)
![t = 4.25](https://tex.z-dn.net/?f=t%20%3D%204.25)
Hence, time to land on 11ft is 4.25 seconds
Answer:
Yes
Step-by-step explanation:
Answer:
first number is 4
second number is 0
Step-by-step explanation:
y = 1st number
x = 2nd number
system of equations:
5y + 4x = 20
4y + 2x = 16
I multiplied the second equation by -2 to eliminate the 'x-values'
-2(4y + 2x = 16) = -8y - 4x = -32
now add to 1st equation: <u>5y + 4x = 20</u>
-3y = -12
y = 4
solve for 'x':
5(4) + 4x = 20
20 + 4x = 20
4x = 0
x = 0
Answer:
2801 boxes
Step-by-step explanation:
You have 1 red box
You have 7 blue boxes, so far 8 boxes
There are 49 total black boxes (7*7), making 57 total boxes
There are 49*7 = 343 yellow boxes, making 400 boxes
There are 343*7 = 2401 gold boxes, making for a total of 2801 boxes.