In 803,349, how is the value of the 3 in the thousands plAce related to the value of the 3 in the hundreds place?

Which list shows numbers ordered least to greatest? A. 1.01, 21/19, 1.01 repeated B. 21/19, 1.01, 1.01 repeated C. 1.01, 1.01 re

Finger [1]

Given:

The list of numbers have three numbers $1.01,\dfrac{21}{19},1.011111...$

To find:

The correct list which shows numbers ordered least to greatest.

Solution:

First we have to convert all numbers in decimal form.

Here, two numbers are already in decimal form.

$\dfrac{21}{19}=1.10526315789
$

All numbers before decimal are equal, i.e., 1. So, check the numbers after decimal.

Two numbers $1.01,1.011111...$ have 0 after decimal and $1.10526315789
$ has 1 after decimal. So, $1.10526315789=\dfrac{21}{19}
$ number is greatest.

Now, compare the digit on hundredth place (second place after decimal).

Both numbers 1.01 and1.011111... have 1 on hundredth place.

Now, compare the digit on thousandth place (third place after decimal).

Number 1.01 have nothing on thousandth place. So, it is 0.

Number 1.011111... has 1 on thousandth place. So, 1.011111... is greater than 1.01.

Now, the arrangement in ordered least to greatest is

$1.01,1.011111...,\dfrac{21}{19}$

Therefore, the correct option is C.

5 0

3 years ago

Find all solutions to

BARSIC [14]

Answer:

x= 0 , $\frac{1}{14}$ , $\frac{-1}{12}$

Step-by-step explanation:

Given, equation is $\sqrt[3]{15x-1}$ + $\sqrt[3]{13x+1}$ = $4\sqrt[3]{x}$ . →→→ (1)

Now, by cubing the equation on both sides, we get

( $\sqrt[3]{15x-1}$ + $\sqrt[3]{13x+1}$ )³ = ( $4\sqrt[3]{x}$ )³

⇒ (15x-1) + (13x+1) + 3× $\sqrt[3]{15x-1}$ × $\sqrt[3]{13x+1}$ ( $\sqrt[3]{15x-1}$ + $\sqrt[3]{13x+1}$ ) = 64 x.

⇒ 28x + 3× $\sqrt[3]{15x-1}$ × $\sqrt[3]{13x+1}$ ( $4\sqrt[3]{x}$ ) = 64x.

(since from (1), $\sqrt[3]{15x-1}$ + $\sqrt[3]{13x+1}$ = $4\sqrt[3]{x}$ )

⇒ 12× $\sqrt[3]{15x-1}$ × $\sqrt[3]{13x+1}$ ( $\sqrt[3]{x}$ )= 36x.

⇒ 3x = $\sqrt[3]{(15x-1)(13+1)(x)}$ .

Now, once again cubing on both sides, we get

(3x)³ = ( $\sqrt[3]{(15x-1)(13+1)(x)}$ )³.

⇒ 27x³ = (15x-1)(13x+1)(x).

⇒ 27x³ = 195x³ + 2x² - x

⇒ 168x³ + 2x² - x = 0

⇒ x(168x² + 2x -1) = 0

⇒ by, solving the equation we get ,

x = 0 ; x = $\frac{1}{14}$ ; x = $\frac{-1}{12}$

therefore, solution is x= 0 , $\frac{1}{14}$ , $\frac{-1}{12}$

7 0

3 years ago

Graph the relation {(5, 0), (0, 5), (5, 1), (1, 5)}. Is it a function? Why or why not?

MaRussiya [10]

No, it is not a function....for it to be a function, it cant have any repeating x values...they all have to be different....they can have repeating y values, just not the x ones.....also, it does not pass the vertical line test

4 0

3 years ago

Read 2 more answers

Maggie constructs a triangle with sides lengths 7 centimeters long and 10 centimeters long.

MakcuM [25]

7 centimeters is a possible length for the third side ⇒ B

Step-by-step explanation:

Let us revise the triangle Inequality Theorem

The sum of the lengths of any 2 sides of a triangle must be greater than the length of the third side
To prove that by easy way add the smallest two sides, if their sum greater than the third side,then the sides can form a triangle

Assume that the length of the third side is x cm

∵ The length of two sides are 7 cm and 10 cm

∵ The length of the third side is x cm

- Put the sum of x and 7 greater than 10 ( x and 7 are the smallest sides)

∴ x + 7 > 10

- Subtract 7 from both sides

∴ x > 3

- Put the sum of 7 and 10 greater than x (7 and 10 are the smallest sides)

∵ 7 + 10 > x

∴ 17 > x

∴ x < 17

- By using one inequality for x (combined the two inequalities in one)

∴ 3 < x < 17

That means the length of the third side is any number between 3 and 17

There is only one answer between 3 and 17

∵ 7 is between 3 and 17

∴ The length of the third side could be 7 cm

7 centimeters is a possible length for the third side

Learn more:

You can learn more about triangles in brainly.com/question/4599754

#LearnwithBrainly

7 0

3 years ago

((sinB)/1+cosB) + ((1+cosB)/sinB) = 2cscB prove that the equation is an identity

Contact [7]

Step-by-step explanation:

If you need any explanation, we can communicate normally

4 0

3 years ago