Final answer:
In the given molecule, there are nine σ (sigma) bonds (seven from single bonds and two from double bonds) and two π (pi) bonds from the two double bonds.
Step-by-step explanation:
The question asks how many σ (sigma) and π (pi) bonds are present in a molecule with a structural formula showing six carbon atoms with a double bond between the third and fourth carbon atoms from the left, and a total of twelve hydrogen atoms. The molecule has multiple C-H single bonds (σ bonds) and one C-C single bond (σ bond). Additionally, there are two double bonds between carbon atoms, and since each double bond consists of one σ bond and one π bond, this contributes two π bonds in total to the molecule.
Counting all of these, there are seven σ bonds from the single bonds (six C-H and one C-C), and two double bonds contribute an additional two π bonds. This leads to the conclusion that there are a total of nine σ bonds and two π bonds in the molecule.