What is the coefficient of the fifth term in (a+b)^9

The coefficient of the fifth term is 126.

Step-by-step explanation:

The question implies that after the expansion of , what would be the coefficient of the fifth term. This long expansion can be easily done by the application of the Pascal principle of expansion.

Thus,

= + + + + + + + + +

So, from this expansion, the fifth term is . And its coefficient is 126.

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.