It's evident that the first four terms are 4, 4/3, 4/9, and 4/27. So the fourth partial sum of the series is

It's as easy as adding up the fractions, but I bet this is supposed to be an exercise in taking advantage of the fact that the series is geometric and use the well-known formula for computing such a sum.
Multiply the sum by 1/3 and you have

Now subtracting this from

gives

That is, all the matching terms will cancel. Now solving for

, you
have


Answer:
y=-2/3(x-5)-9
sorry for bad handwriting and forget - with slope
It’s 5 or -5 which is b or c
In order to solve the problem above, represent the width by x. With this, the length of the rectangular portrait is 1.5x. The perimeter of the rectangle is two times the sum of the length and width. This translates to,
2 (1.5x + x) = 10 ft, x = 2 ft.
Thus, the length of the rectangular portrait is 3 ft.
Answer:
5 • 10^6
Step-by-step explanation:
When we talk about approximations, it is important to know that their purpose is not to find the correct value, only close enough that will do the job. We use them when we want to write something in a shortened way, to save time or when it's impossible to find precise value. Of course, our approximation won't be 100% precise, but it will be acceptable.
So, in this case, we are dealing with a population that is just above five million.
Milion (1 000 000) is a seven-digit number written with six zeros, so its power of ten will be 10^6 (ten to the power of six).
Since the population is around five million, we will approximate it to
5 • 10^6 (five times ten to the power of six)