What is the name of a pattern of two-dimensional shapes that can be folded to make a model of a solid figure?
a)prism
b)net
c)surface area
d)face

The correct option is B.

Step-by-step explanation:

The correct option is net.

A geometric net is a 2-dimensional shape that can be folded to form a 3-dimensional shape or a solid. Or you can say that  a net is a pattern made when the surface of a three-dimensional figure is laid out flat showing each face of the figure. A solid may have different nets.

The basic steps to determine whether a net forms a solid: are:

1. Make sure that the solid and the net have the same number of faces and that the shapes of the faces of the solid match the shapes of the corresponding faces in the net.  

2. Visualize how the net is to be folded to form the solid and make sure that all the sides are properly fit together.

Nets are helpful when we need to find the surface area of the solids

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: