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:
same
Step-by-step explanation:
same solution means same slope
Answer:
So I'm not entirely sure about this one, but I believe he gained 0.21 pounds each day for 30 days
Step-by-step explanation:
Since Cam was born weighing 8.6 pounds and after 30 days weighed 14.9, subtract 14.9-8.6 to find how much he gained.
14.9 - 8.6 = 6.3
Now that we know how much he gained, we have to find out how much he gained per day for 30 days. To do this, divide 6.3 by 30
6.3 / 30 = 0.21
To make sure this answer is correct, multiply 0.21 by 30 and add that to 8.6. It should equal 14.9.
I hope this helps!
Answer:
The correct answers are a. Independent; b. Independent; c. Independent; e. Not Independent
Step-by-step explanation:
a. A jar contains fifteen coins which. Two coins are picked randomly without replacement. Thus the second pick is not dependent on the first pick as the coins in the all same and thus the experiment is independent.
b. A number cube is rolled twice. Outcome of the first roll is independent of the outcome in the second and thus the experiment is independent.
c. A box contains number cards labeled from 1 to 10 where 2 cards are chosen randomly with replacement. Hence first draw does not effect the sample making the experiment independent.
e. There are 3 green balls and 7 red balls in a bag with 2 balls are chosen randomly without replacement. Thus one pick depends on what is drawn in the previous pick thus making it a dependent or not independent event.
