Aping pong ball has a volume of approximately 3.4 cm3 ; the earth has a volume of approximately 1.1 x 1027 cm3. using scientific notation, calculate approximately how many ping pong balls would fit inside the earth. show and explain your work, rounding to the nearest tenth; answer in a complete sentence.

Answer

Find out the how many ping pong balls would fit inside the Earth.

To prove

Let us assume that the number of ping pong  would fit inside the Earth be x.

As given

A ping pong ball has a volume of approximately 3.4 cm³.

The Earth has a volume of approximately cm³ .

Than the equation becomes

(approx)

Therefore in (approx)  ping pong balls would fit inside the Earth.

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

step-by-step explanation:

i found the koficent of the linear function and i foun c acordind to the strict formula y=kx+c and then i took 2 as an x and replacet it on the formula i found and then foun the y