Answer:
The neuron will not fire an action potential.
Explanation:
The missing magnitudes of the synaptic potentials when they reach the postsynaptic cell's axon hillock are:
A. excitatory +7
B. excitatory +10
C. inhibitory -3
D. excitatory +2
E. inhibitory -4
To fire the action potential, the summation of excitatory postsynaptic potentials (EPSP) and inhibitory postsynaptic potentials (IPSP) must reach the action potential threshold, which in this case is 15mV more positive than the resting potential.
The EPSP are: +7 +10 +2= +19
The IPSP are: -3 - 4= -7
EPSP + IPSP=
+19 -7 = +12 mV
The neuron will not fire an action potential since the integration of EPSP and IPSP is below 15mv.