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sergij07 [2.7K]
3 years ago
15

Order 34 x 10^2,1.2x10^7,8.11×10-^3 and 435 from least to greatest

Mathematics
1 answer:
FromTheMoon [43]3 years ago
4 0

Answer:

The ascending order is 8.11\times 10^{-3},435, 34\times 10^2, 1.2\times 10^7

Step-by-step explanation:

First of all find the exact value of each number.

34\times 10^2=34\times 100=3400

1.2\times 10^7=1.2\times 10000000=12000000

8.11\times 10^{-3}=\frac{8.11}{1000}=0.00811

The fourth number is 435.

Using the above calculation we can easily arrange these numbers form least to greatest.

The ascending order is

0.00811, 435, 3400, 12000000

It can be written as

8.11\times 10^{-3},435, 34\times 10^2, 1.2\times 10^7.

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3 years ago
Find the distance between the two points S (-5,-2) and T (-3,4).
icang [17]

Answer:

d =2 \sqrt{10}

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra II</u>

  • Distance Formula: d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

S (-5, -2)

T (-3, 4)

<u>Step 2: Find distance </u><em><u>d</u></em>

  1. Substitute:                    d = \sqrt{(-3+5)^2+(4+2)^2}
  2. Add:                              d = \sqrt{(2)^2+(6)^2}
  3. Evaluate:                      d = \sqrt{4+36}
  4. Add:                              d = \sqrt{40}
  5. Simplify:                       d =2 \sqrt{10}
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2 years ago
Use the graphing calculator to determine the interval on which the inequality log2 (0.7x) log3(3x – 1) is true. Round any decima
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Read 2 more answers
Factored 8x2y3-5= <br> I need the answer
ANTONII [103]

Answer: Reformatting the input :

Changes made to your input should not affect the solution:

(1): "y3" was replaced by "y^3". 1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

(23x2 • y3) - 5

STEP

2

:

Trying to factor as a Difference of Cubes

2.1 Factoring: 8x2y3-5

Theory : A difference of two perfect cubes, a3 - b3 can be factored into

(a-b) • (a2 +ab +b2)

Proof : (a-b)•(a2+ab+b2) =

a3+a2b+ab2-ba2-b2a-b3 =

a3+(a2b-ba2)+(ab2-b2a)-b3 =

a3+0+0+b3 =

a3+b3

Check : 8 is the cube of 2

Check : 5 is not a cube !!

Ruling : Binomial can not be factored as the difference of two perfect cubes

Final result :

8x2y3 - 5

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Answer:

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Step-by-step explanation:

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