Answer:
See below
Step-by-step explanation:
the common ratio, r <1 so it CONVERGES (r = 1/2 in this series)
sum = a1 ( 1-r^n) / (1-r) = 1000(1-.5^10)/(1-1/2) = ~1998
for n= 30 this results in ~~2000
As it continues, the terms get smaller and smaller and the SUM converges on 2000.
Answer:
The number lines are shown below.
Step-by-step explanation:
In the given problem the sign of inequality is missing.
We know, that there are 4 signs of inequality ">", "<", "≥" and "≤".
The possible inequalityes are
In , all points on the right side of 23 are included in the solution set.
In , all points on the left side of 23 are included in the solution set.
In , 23 and all points on the right side of 23 are included in the solution set.
In , 23 all points on the left side of 23 are included in the solution set.
Answer:
(x - 5)² + (y + 7)² = 81
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (5, - 7) and r = 9, thus
(x - 5)² + (y - (- 7))² = 9², that is
(x - 5)² + (y + 7)² = 81 ← equation of circle
14+5(x+3)-7
14+(5x+15)-7
7+5x+15
5x+22
32!
32 100s can go into the number 3200! Hope this helped!
