Divide the number of hours he has to run that week by the number of days he needs to run it in
Answer:
No minimum.
Step-by-step explanation:
The equation of the parabola is given to be y = - x² - 6x - 7 ......... (1)
Now, rearranging the equation we get
y = - (x² + 6x + 9) - 7 + 9
⇒ y = - (x + 3)² + 2
⇒ y - 2 = - (x + 3)²
⇒ (x + 3)² = - (y - 2) ........ (2)
Now, this equation is similar to the parabola equation (x - α)² = - 4a(y - β), which is the vertex form of a parabola equation.
Therefore, we can say that equation (2) has the vertex at (-3,2) and the axis is parallel to the negative y-axis.
Therefore, the parabola (1) has a maximum at (-3,2) and it does not have a valid minimum. (Answer)
Length of the given arc can be given as,
![\begin{gathered} l=r\theta \\ l=8\times150\times\frac{\pi}{180} \\ l=\frac{8\times15\times\pi}{18} \\ l=20.94 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20l%3Dr%5Ctheta%20%5C%5C%20l%3D8%5Ctimes150%5Ctimes%5Cfrac%7B%5Cpi%7D%7B180%7D%20%5C%5C%20l%3D%5Cfrac%7B8%5Ctimes15%5Ctimes%5Cpi%7D%7B18%7D%20%5C%5C%20l%3D20.94%20%5Cend%7Bgathered%7D)
Hence, option D is correct.
Answer:
Tax will be $12
Step-by-step explanation:
6% of $200.00 is $12