(5x - 3y)(25x² + 15xy + 9y²) Step-by-step explanation: 125x³ - 27y³ is a difference of cubes and can be factored as a³ - b³ = (a - b)(a² + ab + b²). Given 125x³ - 27y³ = (5x)³ - (3y)³, it can be written as (5x - 3y)((5x)² + (5x)(3y) + (3y)²) = (5x - 3y)(25x² + 15xy + 9y²).
The initial time was 15.7 minutes.
Explanation of steps:
Let x represent the initial time (in minutes).
The relay team is working on minimizing their relay race duration.
First, they cut down their time by 2.1 minutes.
Afterwards, they manage to reduce that time by 10 percent.
If the concluding time ends up being 3.96 minutes, then
x-t1-t2= 3.6
x= 3.6+ t1+ t2
x= 3.6+ 2.1+ 10
x= 15.7
Thus, their starting time was 15.7 minutes.
The correct answer is "Option B." There seems to be an error with the options provided; however, the appropriate choice is detailed in the attached file. If the column of the matrix and the span of A are both equal to R^5, then A must have a pivot in each row, hence resulting in five pivot columns that confirm choice B as accurate.
9.9 squared times 1.79
Calculating 9.9^2 gives 98.01
Then multiplying 98.01 by 1.79 results in 175.4379
