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anonymous
 5 years ago
i know it seems long but it the info being given :S
please help, thanks :)
A branching plant has stems, nodes, leaves and buds.
there are 7 leaves at each node and at each node, 2 new stems grow. at the end of each final stem, there is a bud
one plant with 3 stages of nodes has 15 stems, 7 nodes, 49 leaves and 8 buds.
one of these plants has 10 stages
work out how many buds and stems it has.
anonymous
 5 years ago
i know it seems long but it the info being given :S please help, thanks :) A branching plant has stems, nodes, leaves and buds. there are 7 leaves at each node and at each node, 2 new stems grow. at the end of each final stem, there is a bud one plant with 3 stages of nodes has 15 stems, 7 nodes, 49 leaves and 8 buds. one of these plants has 10 stages work out how many buds and stems it has.

This Question is Closed

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0hard to parse the question...

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0is a node like a knuckle?

Stacey
 5 years ago
Best ResponseYou've already chosen the best response.0I understand it. I had to draw it.

Stacey
 5 years ago
Best ResponseYou've already chosen the best response.0One plant starts with a stem, then has a node. At that node we get two stems going up. If we have one stage of nodes then we end each of those two branches with a bud. giving us one node, 3 stems, 7 leaves and two buds

Stacey
 5 years ago
Best ResponseYou've already chosen the best response.0If we have two stages of nodes, then instead of buds on each stem, we get a node at the end of each stem, and two more branches off each node. So two stages of nodes is 7 branches, 3 nodes, 4 buds, and 21 leaves.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0urm, can you help me work out stage 7 then?? how do i do it???

Stacey
 5 years ago
Best ResponseYou've already chosen the best response.0To figure out how many nodes, we must realize that the nodes keep doubling. 1 stage = 1 node. 2 stages = 1 node + 2 nodes 3 stages = 1 node + 2 nodes + 4 nodes 4 stages = 1 node + 2 nodes + 4 nodes + 8 nodes et cetera.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0isnt there an equation for it or something?

Stacey
 5 years ago
Best ResponseYou've already chosen the best response.0This is like binary numbers, so the formula is 2^n  1, where n is the number of stages.

Stacey
 5 years ago
Best ResponseYou've already chosen the best response.0Since the branches double one more time than the nodes, the formula for the branches is 2^(n+1)  1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so its \[2^{11} 1\] =2047 and which one is this the stem or the buds?

Stacey
 5 years ago
Best ResponseYou've already chosen the best response.0That is the number of branches.

Stacey
 5 years ago
Best ResponseYou've already chosen the best response.0Oh, sorry. Stems. (I've been calling the stems branches.)

Stacey
 5 years ago
Best ResponseYou've already chosen the best response.0The number of buds is 2^n In this case 2^10.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so that 1024 for the buds and 2047 for the branches or stems is that right ?
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