Answer:
Option 1
Step-by-step explanation:
Given expression representing the partial sum of the geometric series,
Expression that represents the sum of a geometric series is,
Here, n = number of terms
a = first term
r = common ratio
By comparing both the expressions,
n = 4
a = 125
r =
From the given options,
Option 1
First term 'a' = 125
Common ratio 'r' = =
Number of terms 'n' = 4
Therefore, Option 1 will be the correct option.
Rather than solve the entire problem for you, I'll give you some hints to help you get started:
1. The amplitude of your sinusoidal graph is |3|, or just 3.
2. Because of that, your graph begins at the point (0,3).
3. Because this is the cosine function, your graph descends from (0,3) to y=3 and then begins to ascend (back to y=3).
4. The coefficient of x is "one half pi," or pi/2. Call this "b".
5. The period of your function is 2pi/b. Here, b=pi/2.
Dividing, [2pi]/[pi/2] = 4.
6. Mark your horizontal axis as follows: x=0, 4, 8, 12, 16, ...
7 Draw one cycle of the cosine function with amplitude 3. It must begin at (0,3) and end at (4,3) (which covers one period).
8. Draw another cycle or two, beginning at (4,3) and ending at (8,3), and so on.
Answer:
x=1
Step-by-step explanation:
You are right, the third one is correct
Direct variation means that as x increases, y increases and as x decreases, y decreases
Answer:
it is 3 as a simplified fraction
Step-by-step explanation:
BOX 1) 5 plain pencils and 7 pens.
BOX 2) 6 color pencils and 2 crayons.
Plain pencil (first box) ~ 5 : 7
Color pencil (second box) ~ 6 : 2
Simplify.
3 : 1 <== Second box