Answer:use mathematic pathway to calualte
Step-by-step explanation:
Answer:
number 1. answer is 5
number 2. answer is 2 1/2
number 3. answer is 9/16
number 4. answer is 45.7
number 5. answer is 18.7
Answer:
Option c
Step-by-step explanation:
-7 + (19 + 5) = (-7 + 19) + 5
LHS = -7 + (19+5)
= -7 + 24
= 17
RHS = (-7 + 19) + 5
= 12 + 5
= 17
LHS = RHS
associative property of addition: When three or more numbers are added, the result remains same regardless how the numbers are grouped
Step-by-step explanation:
Let
and
. The area A of the region bounded by the given lines is
![\displaystyle A = \int [f(x) - g(x)]dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20A%20%3D%20%5Cint%20%5Bf%28x%29%20-%20g%28x%29%5Ddx)
Note that
intersects y = 4 at x = 1/2 so the limits of integration go from x = 1/2 to x = 5. The area integral can then be written as
![\displaystyle A = \int_{\frac{1}{2}}^{5}\left(4 - \dfrac{1}{x^2}\right)dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20A%20%3D%20%5Cint_%7B%5Cfrac%7B1%7D%7B2%7D%7D%5E%7B5%7D%5Cleft%284%20-%20%5Cdfrac%7B1%7D%7Bx%5E2%7D%5Cright%29dx)
![\:\:\:\:= \left(4x + \dfrac{1}{x}\right)_{\frac{1}{2}}^5](https://tex.z-dn.net/?f=%5C%3A%5C%3A%5C%3A%5C%3A%3D%20%5Cleft%284x%20%2B%20%5Cdfrac%7B1%7D%7Bx%7D%5Cright%29_%7B%5Cfrac%7B1%7D%7B2%7D%7D%5E5)
![\:\:\:\:= (20 + \frac{1}{5}) - (2 + 2) = \dfrac{81}{5} = 16\frac{1}{5}](https://tex.z-dn.net/?f=%5C%3A%5C%3A%5C%3A%5C%3A%3D%20%2820%20%2B%20%5Cfrac%7B1%7D%7B5%7D%29%20-%20%282%20%2B%202%29%20%3D%20%5Cdfrac%7B81%7D%7B5%7D%20%3D%2016%5Cfrac%7B1%7D%7B5%7D)