Lillian is comparing the amount of water in her bathtub and her sink. Her bathtub is 0.65 full of water. Her sink is 0.9 full of water. Which statement is true about comparing the amount of water Lillian has in her bathtub and sink? (MGSE4.NF.7)

There is more water in the bathtub because 65 > 9

These amounts cannot be compared because decimals can only be compared if they have the same-sized whole.

These amounts cannot be compared because decimals can only be compared if the have the same place value

There is more water in the sink because 65/100 < 90/100

Step-by-step explanation:

There is more water in the bathtub because 65 > 9

These amounts cannot be compared because decimals can only be compared if they have the same-sized whole.

These amounts cannot be compared because decimals can only be compared if the have the same place value

There is more water in the sink because 65/100 < 90/100

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}