Answer:
4
Step-by-step explanation:
This is an <em>infinite geometric series</em>. This has a sum of 
Where
a is the first term, and
r is the common ratio (one term divided by the previous term)
Let's figure out the first 2 terms by plugging in n = 1 first and then n = 2 for the series.
<u />
<u>First term:</u>
<u>Second term:</u>
<em>Let's see the common ratio: 
</em>
<em />
<em>Thus we have a = 3 and r = 1/4</em><em>. Plugging into the formula of the infinite sum, we get:</em>
<em>
</em>
<em />
<em>So, </em><em>the answer is 4</em>
Answer:
the missing numbers be 60 and 6 respectively
Step-by-step explanation:
The computation of the missing numbers are shown below:
Let us assume the missing numbers be x
a/
, 
b.
Hence, the missing numbers be 60 and 6 respectively
A)48
Explanation:
2^3 - 2^2 = 8 - 4 = 4
3^3 - 3^2 = 27 - 9 = 18
4^3 - 4^2 = 64 - 16 = 48
5^3 - 5^2 = 125 - 25 = 100
6^3 - 6^2 = 216 - 36 = 180
7^3 - 7^2 = 343 - 49 = 294
8^3 - 8^2 = 512 - 64 = 448
Answer:
Option B y=3x -2 is the answer.
Step-by-step explanation:
An easy way to quickly figure it out is to find the y-intercept of the graph. So, from the graph you can see that the line cuts the y axis at -2. Therefore, as per the equation of a straight line, y=mx+c
option B shows that the y intercept is -2. Thus option B is the answer to this question.
Answer:
x = 20
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
= 
( cross- multiply )
9x = 180 ( divide both sides by 9 )
x = 20
