Answer:
40
Step-by-step explanation:
The y intercept is the point where the x is 0. If the lawn mowing service spent 0 hours they would charge you $40
No. 0.158 is less than 0.58
2.786280x10^6 = <span>2786280</span>
Answer:
the length of the third side is 12.1m
Step-by-step explanation:
by Pythagoras we know the relationship of the sides of a rectangular triangle that is given by the formula h^2 = l1^2 + l2^2
h = hypotenuse = 14m
l1 = leg1 = 7m
l2 = leg2
h^2 = l1^2 + l2^2
14^2 = 7^2 + l2^2
196 = 49 + l2^2
196 - 49 = l2^2
147 = l2^2
√147 = l2
12.124 = l2
rounding to the nearest tenth
l2 = 12.1
Answer:
(a)
;
; ![U_{18} = 328](https://tex.z-dn.net/?f=U_%7B18%7D%20%3D%20328)
(b)
;
; ![U_{18} = 113](https://tex.z-dn.net/?f=U_%7B18%7D%20%3D%20113)
Step-by-step explanation:
Required
1st, 2nd and 18th terms
To do this, we simply substitute 1, 2 or 18 for n in the given equations
Solving (a):
![U_n =n^2 + 4](https://tex.z-dn.net/?f=U_n%20%3Dn%5E2%20%2B%204)
1st term: n = 1
![U_1 =1^2 + 4](https://tex.z-dn.net/?f=U_1%20%3D1%5E2%20%2B%204)
![U_1 =1 + 4](https://tex.z-dn.net/?f=U_1%20%3D1%20%2B%204)
![U_1 =5](https://tex.z-dn.net/?f=U_1%20%3D5)
2nd term: n = 2
![U_2 = 2^2 + 4](https://tex.z-dn.net/?f=U_2%20%3D%202%5E2%20%2B%204)
![U_2 = 4 + 4](https://tex.z-dn.net/?f=U_2%20%3D%204%20%2B%204)
![U_2 = 8](https://tex.z-dn.net/?f=U_2%20%3D%208)
18th term: n = 18
![U_{18} = 18^2 + 4](https://tex.z-dn.net/?f=U_%7B18%7D%20%3D%2018%5E2%20%2B%204)
![U_{18} = 324 + 4](https://tex.z-dn.net/?f=U_%7B18%7D%20%3D%20324%20%2B%204)
![U_{18} = 328](https://tex.z-dn.net/?f=U_%7B18%7D%20%3D%20328)
Solving (b):
![U_n = 6n + 5](https://tex.z-dn.net/?f=U_n%20%3D%206n%20%2B%205)
1st term: n = 1
![U_1 = 6*1 + 5](https://tex.z-dn.net/?f=U_1%20%3D%206%2A1%20%2B%205)
![U_1 = 6 + 5](https://tex.z-dn.net/?f=U_1%20%3D%206%20%2B%205)
![U_1 = 11](https://tex.z-dn.net/?f=U_1%20%3D%2011)
2nd term: n = 2
![U_2 = 6*2 + 5](https://tex.z-dn.net/?f=U_2%20%3D%206%2A2%20%2B%205)
![U_2 =12 + 5](https://tex.z-dn.net/?f=U_2%20%3D12%20%2B%205)
![U_2 =17](https://tex.z-dn.net/?f=U_2%20%3D17)
18th term: n = 18
![U_{18} = 6*18 + 5](https://tex.z-dn.net/?f=U_%7B18%7D%20%3D%206%2A18%20%2B%205)
![U_{18} = 108 + 5](https://tex.z-dn.net/?f=U_%7B18%7D%20%3D%20108%20%2B%205)
![U_{18} = 113](https://tex.z-dn.net/?f=U_%7B18%7D%20%3D%20113)