Use the Binomial Theorem to find the specified term of the given power of a binomial. (Remember that r starts at 0 in the Binomial Theorem, so finding, say, the second term means that r = 1.)
Find the fourth term in the expanded form of (5x + 1)^.
The fourth term is .
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You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:

Define multiplicative inverse. give an example of a number and its multiplicative inverse.