Answer:
This is GP with the first term of 512 and common ratio of 1/2
<u>The formula for nth term is:</u>
<u>The number of teams after the 4th round:</u>
- a₄ = 512*(1/2)⁴ = 32 teams
<u>Number of rounds to determine the champion:</u>
- 1 = 512*(1/2)ⁿ
- 2⁰ = 2⁹*2⁻ⁿ
- 0 = 9 - n
- n = 9 rounds
Answer:
addition?
Step-by-step explanation:
So the image below shows what quadrants are. From the top-right square, the order of quadrants goes from 1-4 in a counter-clockwise matter.
Quadrant I: Top-right square
Quadrant II: Top-left square
Quadrant III: Bottom-left square
Quadrant IV: Bottom-right square.
Any points that are on the bolded vertical line are on the y-axis, and any points on the bolded horizontal line is on the x-axis.
Answer: 
Explanation:
Follow PEMDAS in reverse to undo what's happening to x.
We first add 1 to both sides, then divide both sides by 5 to fully isolate x.
Refer to the steps below to see what I mean.

The inequality sign stays the same the entire time. The only time it flips is when you divide both sides by a negative number.
The solution set for x is anything -3 or larger.
If x was an integer, then we could say the solution set is {-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, ...}
Answer:
9216
Step-by-step explanation:
number of small cubes that would fill the prism = volume of prism / volume of small cubes
volume of a prism = length x width x height
3 x 6 x 8 = 144
volume of cube = length³
(1/4)³ = 1/64
144 ÷ 1/64
144 x 64 = 9216