Order the Numbers from least to greateat. square root 11, -0.4 continuing, 3.41, - 9 over 20.

Answers

Answer 1
Answer: List: √(11) (approx 3.32), -0.4 (repeating), 3.41, (-9)/(20)(-0.45)

Ordered from Least to Greatest:
(-9)/(20)(-0.45)
-0.4 (repeating)
√(11) (approx 3.32)
3.41

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What is 21 divided by 8? Show your work.

Answers

The required answer is  decimal representation of long division 21 divided by 8 equals 2.625.

To divide 21 by 8 using decimal long division, follow these steps:

Step 1: Set up the division problem:

2.625

_______

8 | 21.000

Step 2: Divide the first digit of the dividend (2) by the divisor (8). The result is 0.25.

Step 3: Write the result (0.25) as the decimal part of the quotient above the division bar, directly above the decimal point in the dividend:

2.625

_______

8 | 21.000

0.25

Step 4: Multiply the divisor (8) by the decimal part of the quotient (0.25) and write the result below the dividend, aligning the decimal points:

2.625

_______

8 | 21.000

16.00

Step 5: Subtract the result from the previous step from the dividend:

2.625

_______

8 | 21.000

- 16.00

-------

5.00

Step 6: Bring down the next digit from the dividend (if any). In this case, there are no more digits in the dividend.

Since there are no more digits to bring down, we can stop the division. The quotient is 2.625.

Therefore, the decimal representation of long division 21 divided by 8 equals 2.625.

Know about that the decimal representation of long division here:

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21 / 8
= 8 / 8 + 8 / 8 + 5 / 8
= 2   5/8

5/8
= 2,5/4
= 1,25/2
= 0.625

Therefore  21/8 = 2 + 0.625 = 2.625

Solve the compound inequality.

Answers

Answer:

x < 0 or x > 3

Step-by-step explanation:

First, we'll solve 5x - 11 < -11.

5x < 0 so x < 0.

As for 4x + 2 > 14, 4x > 12 which means x > 3.

If x is an integer, then is -x positive?

Answers

Answer:

If x is an integer, then for values of x ≤ 0 would -x be positive.

General Formulas and Concepts:

Math

  • Integers

Step-by-step explanation:

We know that integers comprise of the number line from -∞ to ∞. We can have numbers like -3, -2, -1, 0, 1, 2 ,3.

If we say that x is an integer, and that -x must be positive, then that means the integer x must be negative, because a negative times a negative is a positive.

∴ x can only be negative integers, thus giving us x ≤ 0.

Which represents the polynomial written in standard form?

4m – 2m4 – 6m2 + 9

Answers

If you would like to write the polynomial in standard form, you can do this like this:

4m - 2m^4 - 6m^2 + 9

Writing the polynomial in standard form means that you have to write the terms by descending degree:
- 2m^4 - 6m^2 + 4m + 9

The correct result would be - 2m^4 - 6m^2 + 4m + 9.

An equation which represents the polynomial written in standard form is 2m⁴ - 6m² + 4m + 9.

What is a polynomial?

A polynomial can be defined as a mathematicalexpression which is comprises intermediates (variables), constants and exponents with different numerical value, that are typically combined by using mathematical operations such as:

  • Addition
  • Subtraction
  • Multiplication

In this scenario, the polynomial would be written in standard form by rearranging it in descending degree of exponents:

2m⁴ - 6m² + 4m + 9.

Read more on polynomials here: brainly.com/question/1600696

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Solve using substitution. (C&D)
2C+3D=1
-3C+D=15

Answers

Equation 2
-3c+d=15
d=15+3c

Substitute into eq 1
2c+3(15+3c)=1
2c+45+9c=1
11c=-44
c=-44/11

c=-4

Sub into eq 1

2(-4)+3d=1
-8+3d=1
3d=9
d=9/3

d=3

Verify:
2(-4)+3(3)=1
-8+9=1
1=1 -- True.
  2c + 3d =  1 ⇒ 2c + 3d = 1      ⇒ 2c + 3d = 1
-3c +  d = 15 ⇒ 3(-3c + d) = 15 ⇒ -9c + 3d = 15
                                                               -7c = 16
                                                               -7c = 16
                                                               -7      - 7
                                                                 c = -2 2/7
                                                       2(2 2/7) + 3d = 1
                                                           4 4/7 + 3d = 1
                                                          -4 4/7           -4 4/7
                                                                       3d = -3 4/7
                                                                       3d = -3 4/7
                                                                        3          3
                                                                         d = -1 4/21
                                                                   (c, d) = (-2 2/7, -1 4/21)

What is 1/4 of 10 explain

Answers

Too many points for such a simple explanation :)) Whatever:
To get 1/4 of a number you multiply the number by 1/4. Same for any non-percent number. If the number is a percent, say, 23,5%, you first divide it by 100 to get a non-percent, then do the same, that is, multiply it by the number.
Our result is \frac{1}4*10=\frac{10}4=\frac{5}2=2\frac{1}2=2.5