Which number is four thousand times larger than 1.1 x 103 ? a) 1.1 x 106 b) 1.1 x 107 c) 4.4 x 106 d) 4.4 x 107

Hello!

I think that 1.1 x 103 is maybe bad written, and you wanted to write 1.1x10^3, i will solve this for this last one.

We are looking for a number that his four thousand times larger than 1.1x10^3, this number is equivalent to 4000*1.1x10^3

and we know that 4000 = 4x10^3, then we are looking for:

(4x10^3)*(1.1x10^3) = (4*1.1)x10^(3 + 3) = 4.4x10^6

So the correct answer is the option C : 4.4x10^6

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}

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )