Answer:
Recursive
a(1) = 9 ; a(n+1) = 3 * a(n)
Explicit
a(n) = 9 * 3^(n-1)
64 as it’s multiplied by 2 each time
Part A
Your problem statement already shows you the conversion.
Bottles purchased: 5×10¹⁰
Bottles recycled: 8.3×10⁹
Part B
The ratio of bottles purchased to bottles recycled is
... (5×10¹⁰)/(8.3×10⁹) = 0.6×10¹ = 6.0
The number of bottles purchased is 6 times the number of bottles recycle.
An ordered pair such as (3,-1), is a shorthand way of writing two variables, such as x = 3 and y = -1. The order of the numbers in the pair is important: x always comes before y.
An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses.
It helps to locate a point on the Cartesian plane for better visual comprehension.
The numeric values in an ordered pair can be integers or fractions.
Ordered Pair = (x,y)
Where, x = abscissa, the distance measure of a point from the primary axis “x”
And, y = ordinate, the distance measure of a point from the secondary axis “y”
In the Cartesian plane, we define a two-dimensional space with two perpendicular reference lines, namely x-axis and y-axis. The point where the two lines meet at “0” is the origin.
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If one move is 325 and there's 3 moves you have to multiply them together to get 975 but since the submarine is going down its a negative integer so the answer would be -975
