Solution for part A is where the red line and the red line meet, (2,-1)
solution for part B: any point on the blue red line is a solution. (2, -1), (0, 3), (3, -3), (-2, 7)
solution for part C is where the green curve and the blue line meet, (0,3)
The sequence forms a Geometric sequence as the rule to obtain the value for the next term is by ratio
Term 1: 1000
Term 2: 200
Term 3: 40
From term 1 to term 2, there's a decrease by

From term 2 to term 3, there's a decrease also by

The rule to find the

term in a sequence is

, where

is the first term in the sequence and

is the ratio
So, the formula for the sequence in question is

term =

The sequence is a divergent one. We can always find the value of the next term by dividing the previous term by 5 and if we do that, the value of the next term will get closer to 'zero' but never actually equal to zero.
We can find a partial sum of the sequence using the formula

for -1<r<1
Substituting

and

we have

=

= 1250
Hence, the correct option is option number 1
Answer:
100
Step-by-step explanation:
it is a bit unclear to me, what that problem description means.
if I understand it correctly, than z is directly depending on x².
so, z = 16 for x = 2. x² = 4
I pondered a little bit, as there are several possibilities to connect 16 with 4 as a driving factor (e.g. 2⁴ = 16, 4×4 = 16, 12 + 4 = 16).
I decided to go with the simplest interpretation with the usual meaning of "varies" (multiplication) : 4×x²
that would mean
z = 4×x² = 4×5² = 4×25 = 100
Answer:
The answer to your question is: Ф = 43.95°
Step-by-step explanation:
Data
length = 18 ft
distance bottom to is 13 ft
x = angle = ?
Formula
cos Ф = opposite side / hypotenuse
Process
cos Ф = 13 ft / 18 ft substitution
cos Ф = 0.72 simplify
Ф = cos⁻¹ (0.72)
Ф = 43.95° result
Answer:
3^6
Step-by-step explanation:
3^2 * 3^4
You add the exponents together.