Answer:
![d(t) = -20t - 260](https://tex.z-dn.net/?f=d%28t%29%20%3D%20-20t%20-%20260)
Step-by-step explanation:
The depth function is:
![d(t) = mt + b](https://tex.z-dn.net/?f=d%28t%29%20%3D%20mt%20%2B%20b)
After 3 minutes, a submarine had descended to −320 feet.
This means that
. So
![d(t) = mt + b](https://tex.z-dn.net/?f=d%28t%29%20%3D%20mt%20%2B%20b)
![-320 = 3m + b](https://tex.z-dn.net/?f=-320%20%3D%203m%20%2B%20b)
After 8 minutes, the submarine had descended to −420 feet.
This means that
. So
![d(t) = mt + b](https://tex.z-dn.net/?f=d%28t%29%20%3D%20mt%20%2B%20b)
![-420 = 8m + b](https://tex.z-dn.net/?f=-420%20%3D%208m%20%2B%20b)
From the first equation:
![b = -320 - 3m](https://tex.z-dn.net/?f=b%20%3D%20-320%20-%203m)
So
![-420 = 8m + b](https://tex.z-dn.net/?f=-420%20%3D%208m%20%2B%20b)
![-420 = 8m - 320 - 3m](https://tex.z-dn.net/?f=-420%20%3D%208m%20-%20320%20-%203m)
![5m = -100](https://tex.z-dn.net/?f=5m%20%3D%20-100)
![m = \frac{-100}{5}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-100%7D%7B5%7D)
![m = -20](https://tex.z-dn.net/?f=m%20%3D%20-20)
And
![b = -320 - 3*(-20) = -260](https://tex.z-dn.net/?f=b%20%3D%20-320%20-%203%2A%28-20%29%20%3D%20-260)
So
![d(t) = -20t - 260](https://tex.z-dn.net/?f=d%28t%29%20%3D%20-20t%20-%20260)
U have a right triangle...so one angle is 90%......and the second angle is 35%...keep in mind, the angles of a triangle = 180%
so the measure of the third angle is : 180 - 90 - 35 = 55%
Sorry I'm in high school.. but according to my physics class, the instantaneous speed is when t (time) is 0, or whatever you'd use (like x).. anyways, when t=0, the instantaneous speed would be 3 ft/s, and the instantaneous acceleration is 0.
Answer:
1014cm^2
Step-by-step explanation:
find the area of one side and times it by 6 (bc a cube has 6 sides)
13×13=169
169×6=1014
You have 9n and -7 in total so the answer is 9n-7. You add up all the numbers and then add up the numbers with n attached to them