I hope u feeling better but the answer is
The velocity of the car at various times is given as:
Velocity at 15 seconds = f(15) = 45
Velocity at 22 seconds = f(15) = 66
Velocity at 29 seconds = f(15) = 87
Velocity at 36 seconds = f(15) = 108
We are to find the average rate of change of f(x) from x=15 to x=29, which can be written as:
![\frac{f(29)-f(15)}{29-15} \\ \\ = \frac{87-45}{14} \\ \\ = \frac{42}{14} \\ \\ =3](https://tex.z-dn.net/?f=%20%5Cfrac%7Bf%2829%29-f%2815%29%7D%7B29-15%7D%20%5C%5C%20%20%5C%5C%20%0A%3D%20%5Cfrac%7B87-45%7D%7B14%7D%20%5C%5C%20%20%5C%5C%20%0A%3D%20%5Cfrac%7B42%7D%7B14%7D%20%5C%5C%20%20%5C%5C%20%0A%3D3%20%20%20)
Therefore, the average rate of change of function from x=15 to x=29 is 3. Since the rate of change of velocity gives us acceleration, so the acceleration of the car between 15 to 29 seconds will be 3 m/s²
Answer:
<h2>c = 4</h2>
Step-by-step explanation:
![15c-9c+2c-6c=8\qquad\text{combine like terms}\\\\(15-9+2-6)c=8\\\\2c=8\qquad\text{divide both sides by 2}\\\\\dfrac{2c}{2}=\dfrac{8}{2}\\\\\huge\boxed{c=4}](https://tex.z-dn.net/?f=15c-9c%2B2c-6c%3D8%5Cqquad%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5C%2815-9%2B2-6%29c%3D8%5C%5C%5C%5C2c%3D8%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%202%7D%5C%5C%5C%5C%5Cdfrac%7B2c%7D%7B2%7D%3D%5Cdfrac%7B8%7D%7B2%7D%5C%5C%5C%5C%5Chuge%5Cboxed%7Bc%3D4%7D)
12,000.000 rounded to nearest thousand is 10,000.000 I think and 11,600.00 is 12,000.00 I think
<u>Given</u>:
The given geometric series is ![2 + 3 + 4.5+ 6.75 + ...](https://tex.z-dn.net/?f=2%20%2B%203%20%2B%204.5%2B%206.75%20%2B%20...)
We need to determine the value of r and a₁
<u>Value of a₁:</u>
The term a₁ denotes the first term of the geometric series.
Hence, from the given series, the first term of the series is 2.
Thus, a₁ = 2.
Therefore, the value of a₁ is 2.
<u>Value of r:</u>
The term r denotes the common ratio between the terms in the geometric series.
The value of r is given by
![r=\frac{3}{2}=1.5](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B3%7D%7B2%7D%3D1.5)
![r=\frac{4.5}{3}=1.5](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B4.5%7D%7B3%7D%3D1.5)
![r=\frac{6.75}{4.5}=1.5](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B6.75%7D%7B4.5%7D%3D1.5)
Thus, the value of r is 1.5