Which value is equivalent to 7 multiplied by 5 multiplied by 2 whole over 7 multiplied by 3, the whole raised to the power of 2 multiplied by 5 to the power of 0 over 2 to the power of negative 3, whole to the power of 3 multiplied by 2 to the power of negative 9?

a 10 over 9

b 20 over 3

c 100 over 9

d 700 over 3

100 over 9

Step-by-step explanation:

The toughest part of this is to figure out exactly how to express that complex formula description.

You begin by writing the equation form as it is in written in English, the important words there are the 'whole' ones... which means to close the parenthesis.

Once you have written it all out as shown on the first line of the attached image, you just have to do the calculations, as demonstrated in the other 3 lines.

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}

you forgot an image

step-by-step explanation: