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Firlakuza [10]
3 years ago
7

Erica wrote the number 3.24 x 10-3 in

Mathematics
1 answer:
irina1246 [14]3 years ago
3 0

Answer:

A. 0.00324

Step-by-step explanation:

3.24 * 10^{-3} = .00324

Since the exponent is negative 3, we move the decimal to the left by 3 spaces.  

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3 years ago
Read 2 more answers
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Lisa [10]

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B

Step-by-step explanation:

Inverse means the opposite in effect. The reverse of. Therefore if f(x) is -1,-3 bad you are looking for the inverse which is g(x) is -1,__. It would be 3.

4 0
3 years ago
HELP!!!!!!!!!!!!!!!!!!!!! Do all real numbers have a decimal expansion? Select each correct answer. Some numbers, such as 1 10 ​
ankoles [38]

Answer:

1. Some numbers, such as \frac{1}{10}, have a decimal expansion that terminates.

2. All real numbers have a decimal expansion.

5. Some numbers, such as \frac{1}{18}, have a decimal expansion that repeats but does not terminate.

Step-by-step explanation:

According to the options, we have,

1. Some numbers, such as \frac{1}{10}, have a decimal expansion that terminates.

It is correct as the decimal expansion of \frac{1}{10} is 0.1, which terminates.

2. All real numbers have a decimal expansion.

This is also correct as both rational and irrational numbers can be written in decimal form.

3. Some numbers, such as \sqrt{13} do not have a decimal expansion

This is not correct as \sqrt{13}=3.605551275 i.e. it has a decimal expansion.

4. Only some real numbers have a decimal expansion.

It is not correct as 2 is correct.

5. Some numbers, such as \frac{1}{18}, have a decimal expansion that repeats but does not terminate.

It is correct as \frac{1}{18}=0.0555555.., which is non-terminating decimal expansion.

So, the correct options are,

1. Some numbers, such as \frac{1}{10}, have a decimal expansion that terminates.

2. All real numbers have a decimal expansion.

5. Some numbers, such as \frac{1}{18}, have a decimal expansion that repeats but does not terminate.

6 0
4 years ago
Analyze the diagram below and complete the instructions that follow.
valentinak56 [21]

Answer:

x = 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients/Degrees
  • Expand by FOIL (First Outside Inside Last)
  • Factoring
  • Multiple Roots

<u>Trigonometry</u>

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

  • a is a leg
  • b is another leg
  • c is the hypotenuse

Step-by-step explanation:

<u>Step 1: Identify</u>

<em>a</em> = x + 3

<em>b</em> = x

<em>c</em> = √117

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute [PT]:                                                                                                (x + 3)² + x² = (√117)²
  2. Expand [FOIL]:                                                                                                 x² + 6x + 9 + x² = (√117)²
  3. Combine like terms:                                                                                       2x² + 6x + 9 = (√117)²
  4. Exponents:                                                                                                      2x² + 6x + 9 = 117
  5. [SPE] Subtract 117 on both sides:                                                                    2x² + 6x - 108 = 0
  6. Factor out GCF:                                                                                               2(x² + 3x - 54) = 0
  7. [DPE] Divide 2 on both sides:                                                                         x² + 3x - 54 = 0
  8. Factor Quadratic:                                                                                            (x - 6)(x + 9) = 0
  9. Solve roots/solve <em>x</em>:                                                                                         x = -9, 6

Since we are dealing with positive values, we can disregard the negative root.

∴ x = 6

4 0
3 years ago
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