Please help i’ll give brainliest

2.3 ×10^3

Step-by-step explanation:

Convert to Scientific Notation

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 . The sign of the exponent will depend on the direction you are moving the decimal.

2.3 x 10^3

Step-by-step explanation:

6.9 x10 ^8=

690,000,000 (add eight decimal places and put placeholders)

3 x 10^5=

300,000 (add 5 decimal places or since it is a whole number 5 zeroes)

690,000,000/300,000=2,300

Take the zeroes awayand make them decimal places.

2.3 x 10^3

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}

the answer is 31.27mph