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
9514 1404 393
Answer:
x = 12
Step-by-step explanation:
The two marked angles are a linear pair, so are supplementary.
(8x -20)° +(8x +8)° = 180°
16x -12 = 180 . . . . . . . . . . . divide by °, collect terms
16x = 192 . . . . . . . . . . . add 12
x = 12 . . . . . . . . . . . divide by 16
Answer:
2.666666667 is the answer
Answer:
1/84
Step-by-step explanation:
3+2+1+3 = 9
3/9 × 2/8 × 1/7 = 1/84
= 0.0119047619
= 0.0119 (3 sf)
Sub (x+1) for x
f(x+1)=2(x+1)^2+3
f(x+1)=2(x^2+2x+1)+3
f(x+1)=2x^2+4x+2+3
f(x+1)=2x^2+4x+5
D is answer
