You have a tree with horizontal branches and these occur at three levels. There is one branch at the top level, there are two branches at the 2nd level, there are 3 branches at the 1st level, and there is the ground below. A phoenix lives in your tree. At night, it roosts on the branch at the top level of your tree. In the morning, it descends to the ground. It can do this directly, or it can stop off anywhere along the way down. But it never moves horizontally, always down.
Use the following notation: T for the top branch; A and B for the branches on the second level; 1, 2, and 3 for the branches on the first level; and G for ground.
Draw a digraph representing the paths the phoenix can take from the top branch to the ground.
Determine how many unique paths the phoenix can take on its descent.
Imagine there are n levels to the tree with each level having one more branch than the one above it. How many paths will the phoenix have then?

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!

answer: 88

step-by-step explanation:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

47.28 or 47.2857143

step-by-step explanation:

you just divide 331 by 7 and you get that answer. ( i think so tho)