The correct answer is 5,214
SOLUTION
The given expression is:
![-5\sqrt[]{147\times r^{13}\times s^8}](https://tex.z-dn.net/?f=-5%5Csqrt%5B%5D%7B147%5Ctimes%20r%5E%7B13%7D%5Ctimes%20s%5E8%7D)
Rewrite the expression
![-5\sqrt[]{49\times3\times r^{12}\times r^1\times s^{4\times2}}](https://tex.z-dn.net/?f=-5%5Csqrt%5B%5D%7B49%5Ctimes3%5Ctimes%20r%5E%7B12%7D%5Ctimes%20r%5E1%5Ctimes%20s%5E%7B4%5Ctimes2%7D%7D)
This further give
![\begin{gathered} -5\sqrt[]{49\times3\times(r^6)^2\times r^1\times(s^4)^2} \\ =-5\times7\times r^6\times s^4\sqrt[]{3\times r} \\ =-35r^6s^4\sqrt[]{3r} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20-5%5Csqrt%5B%5D%7B49%5Ctimes3%5Ctimes%28r%5E6%29%5E2%5Ctimes%20r%5E1%5Ctimes%28s%5E4%29%5E2%7D%20%5C%5C%20%3D-5%5Ctimes7%5Ctimes%20r%5E6%5Ctimes%20s%5E4%5Csqrt%5B%5D%7B3%5Ctimes%20r%7D%20%5C%5C%20%3D-35r%5E6s%5E4%5Csqrt%5B%5D%7B3r%7D%20%5Cend%7Bgathered%7D)
Therefore, the solution is
![-35r^6s^4\sqrt[]{3r}](https://tex.z-dn.net/?f=-35r%5E6s%5E4%5Csqrt%5B%5D%7B3r%7D)
Answer:
. The slope of the line indicates that test score and the time spent watching tv are negatively correlated
<u>7.1 cm long is the arc</u><u> intersected by a central angle .</u>
What is length of an arc?
- The arc length of a circle can be calculated with the radius and central angle using the arc length formula.
- Length of an Arc = θ × r, where θ is in radian. Length of an Arc = θ × (π/180) × r, where θ is in degree.
Given,
Central angle = π / 2
radius = 4.5 cm
we apply formula of length of arc.
length of the arc = angle × radius
= (π/2) × (4.5 cm)
Now put value of π = 3.14
length of the arc = (3.14 / 2) × (4.5) cm
= 7.065 cm ≈ 7.1 cm
Therefore, 7.1 cm long is the arc intersected by a central angle .
Learn more about<u> </u> length of an arc
brainly.com/question/16991078
#SPJ4
Hhshshshshdhshhshshhshehshdhdhd
