Hey there!
Geometric sequences have a common ratio. In this case, we can see that it is always multiplied by -3.
The formula for a geometric sequence is starting number multiplied by the quantity of the the common ratio to the power of the term number in the sequence minus 1.
In our case, we will have 2*-3^11-1. We will now simplify this.
2*-59049= -118098
Therefore, our answer is -118098.
I hope this helps!
Answer:
1,044cm
Step-by-step explanation:
46-21=25cm (the length of the top line)
30-14=16cm (the length of the other line on the left of the 21)
Split it into three rectangles, 25×16, 21×14 and 25×14
25×16 = 400cm
21×14 = 294cm
25×14 = 350cm
Add to together: 400+350+294= 1044cm
The mean, because data distribution is skewed to the right. You answer is correct
Answer:
The system of equations has a one unique solution
Step-by-step explanation:
To quickly determine the number of solutions of a linear system of equations, we need to express each of the equations in slope-intercept form, so we can compare their slopes, and decide:
1) if they intersect at a unique point (when the slopes are different) thus giving a one solution, or
2) if the slopes have the exact same value giving parallel lines (with no intersections, and the y-intercept is different so there is no solution), or
3) if there is an infinite number of solutions (both lines are exactly the same, that is same slope and same y-intercept)
So we write them in slope -intercept form:
First equation:
![6x+y=-1\\y=-6x-1](https://tex.z-dn.net/?f=6x%2By%3D-1%5C%5Cy%3D-6x-1)
second equation:
![-6x-4y=4\\-6x=4y+4\\-6x-4=4y\\y=-\frac{3}{2} x-1](https://tex.z-dn.net/?f=-6x-4y%3D4%5C%5C-6x%3D4y%2B4%5C%5C-6x-4%3D4y%5C%5Cy%3D-%5Cfrac%7B3%7D%7B2%7D%20x-1)
So we see that their slopes are different (for the first one slope = -6, and for the second one slope= -3/2) and then the lines must intercept in a one unique point. Therefore the system of equations has a one unique solution.
Step-by-step explanation:
(-7+1)/(5-1)=-6/4= -3/2 is the slope
answer is C