Step-by-step explanation:
(a) n² + 3
First term = 1² + 3 = 4
Second term = 2² + 3 = 7
Third term = 3² + 3 = 12
Fourth term = 4² + 3 = 19
10th term = 10² + 3 = 103
(b) 2n²
First term = 2(1)² = 2
Second term = 2(2)² = 8
Third term = 2(3)² = 18
Fourth term = 2(4)²= 32
10th term = 2(10)² = 200
Hence, this is the required solution.
235.24 + 45.58 = 280.82
280.82/2 = 140.41
each check was for $140.41
Answer: 2/7
Step-by-step explanation:
You subtract the y intercepts and put it over the x intercepts
2-(-2)=4 and 9-(-5)=14 so it is 4/14 which sinplifies to 2/7
<span>This is a rectangular field, it will have four fence in one direction, and two in the other.
The vertical lines here are the same length on each other, likewise of the horizontal line.We can calculate the length of the fence from them as:
4V + 2H= L
we also have three area added together come to 800:
3VH = 800
so, lets re-arrange that second equation
H=800/3V
And sub into the first:
4V + 1600/3V = L
Multiply through by 3V:
12V^2+1600= 3LV
Rearrange
12V^2 - 3LV+ 1600= 0
we have quadratic, lets take a look at discriminant with this quadratic
discriminant= b^2 - 4ac
discriminant= 9L^2 - 4*12*1600
discriminant= 9L^2 - 76800
the dicriminant must be positive so the following must be true
9L^2>=76800
L^2>=8533.33
L>=92.376
so 92.36 is answer</span>
If the hundreth digit is equal to or larger than 5, increase the tenths digit by 1 and get rid of the hundreths digit altogether.
