Answer:
An <u>POWER</u> that has a base and an exponent.
Step-by-step explanation:
hope it's right
Answer:
d=1
Step-by-step explanation:
Factor d^2 - 2d - 8 into (d-4)(d+2)
Move -2/d+2 onto the other side, changing it into 2/d+2.
![\frac{-3d}{(d-4)(d+2)} +\frac{3}{d-4}+\frac{2}{d+2} = 0](https://tex.z-dn.net/?f=%5Cfrac%7B-3d%7D%7B%28d-4%29%28d%2B2%29%7D%20%2B%5Cfrac%7B3%7D%7Bd-4%7D%2B%5Cfrac%7B2%7D%7Bd%2B2%7D%20%3D%200)
Let the empty side equal zero.
Add 3/d-4 and 2/d+2
![\frac{5d-2}{(d+2)(d-4)}](https://tex.z-dn.net/?f=%5Cfrac%7B5d-2%7D%7B%28d%2B2%29%28d-4%29%7D)
Then add that to -3d.
![\frac{2d-2}{(d+2)(d+4)}](https://tex.z-dn.net/?f=%5Cfrac%7B2d-2%7D%7B%28d%2B2%29%28d%2B4%29%7D)
Multiply 0 by d+2 and d-4 to get 2d-2 by itself.
2d=2
d=1
I can't edit the equation, but it's d-4 althroughout the question. Sorry for being so slow.
Using derivatives, it is found that:
i) ![v(t) = 3t^2 - 6t](https://tex.z-dn.net/?f=v%28t%29%20%3D%203t%5E2%20-%206t)
ii) 9 m/s.
iii) ![a(t) = 6t - 6](https://tex.z-dn.net/?f=a%28t%29%20%3D%206t%20-%206)
iv) 6 m/s².
v) 1 second.
<h3>What is the role of derivatives in the relation between acceleration, velocity and position?</h3>
- The velocity is the derivative of the position.
- The acceleration is the derivative of the velocity.
In this problem, the position is:
![s(t) = t^3 - 3t^2 + 8](https://tex.z-dn.net/?f=s%28t%29%20%3D%20t%5E3%20-%203t%5E2%20%2B%208)
item i:
Velocity is the <u>derivative of the position</u>, hence:
![v(t) = 3t^2 - 6t](https://tex.z-dn.net/?f=v%28t%29%20%3D%203t%5E2%20-%206t)
Item ii:
![v(3) = 3(3)^2 - 6(3) = 27 - 18 = 9](https://tex.z-dn.net/?f=v%283%29%20%3D%203%283%29%5E2%20-%206%283%29%20%3D%2027%20-%2018%20%3D%209)
The speed is of 9 m/s.
Item iii:
Derivative of the velocity, hence:
![a(t) = 6t - 6](https://tex.z-dn.net/?f=a%28t%29%20%3D%206t%20-%206)
Item iv:
![a(2) = 6(2) - 6 = 6](https://tex.z-dn.net/?f=a%282%29%20%3D%206%282%29%20-%206%20%3D%206)
The acceleration is of 6 m/s².
Item v:
t for which a(t) = 0, hence:
![6t - 6 = 0](https://tex.z-dn.net/?f=6t%20-%206%20%3D%200)
![6t = 6](https://tex.z-dn.net/?f=6t%20%3D%206)
![t = \frac{6}{6}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B6%7D%7B6%7D)
![t = 1](https://tex.z-dn.net/?f=t%20%3D%201)
Hence 1 second.
You can learn more about derivatives at brainly.com/question/14800626
Step-by-step explanation:
15 × 6/100=0.9
15+0.9=$15.9
Answer:
c
Step-by-step explanation:
12.50*6=75
45.25*3=135.75
135.75+75=210.75