Answer:

Step-by-step explanation:
Geometric sequences:
The nth term of a geometric sequence is given by the following equation.

In which r is the common ratio.
This can be expanded for the nth term in the following way:

In which
is the first term.
In this question:

a. If the pattern continues, what explicit formula can be used find the distance of the nth swing?


Answer:
-24.
Step-by-step explanation:
0.8*-23+0.8*-7
Use order of operation. Here we have 2 multiplications and one addition The multiplications are done first:
0.8*-23 + 0.8*-7
= -18.4 + -5.6
= -18.4 - 5.6
= -24.
Answer: 137 Milliliters =0.137 Liters
Step-by-step explanation:
Sorry im a little late but here's how i did it.
Hope this helps! :)
The cubic function is f(x) = x^3
You need to perform three transformations to the cubic function to obtain
f(x) = - (x + 2)^3 - 5.
Those transfformations are:
1) Shift f(x) = x^3, 2 units leftward to obtain f(x) = (x + 2)^3
2) reflect f(x) = (x + 2)^3 across the x-axis to obtain f(x) = - (x + 2)^3
3) shift f(x) = - ( x + 2) ^3, 5 units downward to obtain f(x) = - (x + 2)^3 - 5