Answer:
Step-by-step explanation:
Given that acceleration of an object is

is the solution to the differential equation
Since v(0) =7
we get ln 7 = C
Hence 
since velocity is rate of change of distance s we have
![v=\frac{ds}{dt} =7e^{-2t}\\s= [tex]s(t) =\frac{-7}{2} (e^{-2t})+C)[](https://tex.z-dn.net/?f=v%3D%5Cfrac%7Bds%7D%7Bdt%7D%20%3D7e%5E%7B-2t%7D%5C%5Cs%3D%20%5Btex%5Ds%28t%29%20%3D%5Cfrac%7B-7%7D%7B2%7D%20%28e%5E%7B-2t%7D%29%2BC%29%5B)
substitute t=0 and s=0

So solution for distance is

Answer:
9.74 feet
Step-by-step explanation:
the formula for finding a hypotenuse is
. We can rearrange that to get:
. So: 49 + b^2 = 144. We get the square root of 95, AKA around 9.74.
Answer:
14/21
Step-by-step explanation:
14/21 is divisible by 7, and can reduce to 2/3
Answer:
8.06 ft or
ft
Step-by-step explanation:
Since Rebecca bought a square table and squares have equal sides, you can take the square root of the area of the table, which gives you
ft per side. This can be approximated to 8.06 ft.
Answer:
proportional
Step-by-step explanation:
all are multiplied by 3