Answer:
(C)![6t^2+5](https://tex.z-dn.net/?f=6t%5E2%2B5)
Step-by-step explanation:
Given the distance, d(t) of a particle moving in a straight line at any time t is:
![d(t) = 2t^3 + 5t - 2, $ where t is given in seconds and d is measured in meters.](https://tex.z-dn.net/?f=d%28t%29%20%3D%202t%5E3%20%2B%205t%20-%202%2C%20%24%20where%20t%20is%20given%20in%20seconds%20and%20d%20is%20measured%20in%20meters.)
To find an expression for the instantaneous velocity v(t) of the particle at any given point in time, we take the derivative of d(t).
![v(t)=\dfrac{d}{dt}\\\\v(t) =\dfrac{d}{dt}(2t^3 + 5t - 2) =3(2)t^{3-1}+5t^{1-1}\\\\v(t)=6t^2+5](https://tex.z-dn.net/?f=v%28t%29%3D%5Cdfrac%7Bd%7D%7Bdt%7D%5C%5C%5C%5Cv%28t%29%20%3D%5Cdfrac%7Bd%7D%7Bdt%7D%282t%5E3%20%2B%205t%20-%202%29%20%3D3%282%29t%5E%7B3-1%7D%2B5t%5E%7B1-1%7D%5C%5C%5C%5Cv%28t%29%3D6t%5E2%2B5)
The correct option is C.
If you are asking for a common factor of 16 AND 20 the answer can be 80
Hope this helped :)
Answer:
11
Step-by-step explanation:
All you have to do is plug in a. In this case, a=3.
21/a+4
21/(3)+4
21/3+4
7+4
11
If this helps please mark as brainliest
The correct answers are A and D
Answer:
11 3/4 miles.
Step-by-step explanation:
Converting to improper fractions, the consecutive distances are:
21/4 , 55/8, 17/2
= 42/8, 55/8, 68/8 for Monday, Tuesday and Wednesday.
So the distances have increased by 13/8 miles each day.
Thus number of miles he'll bike on Friday = 68/8 + 2(13/8)
= 94/8
= 11 3/4 miles.