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Troyanec [42]
3 years ago
15

THE FIRS PERSON WHO ANSWERS WILL GET BRAINLIST A number is written with the following factorization: 22 × 3 × 54 × 8 × 112. Is t

his factorization a prime factorization? Explain why or why not. If it is not correct, give the correct prime factorization of the number.
Mathematics
1 answer:
HACTEHA [7]3 years ago
7 0

Answer:

No

Step-by-step explanation:

22,54,8 and 112 aren't prime numbers.

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Solve (2 - x)^2 < 4/25
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Answer:

8/5 < x< 12/5

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A block of ice has a square top and bottom and rectangular sides. At a certain point in
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Answer:

\frac{dV}{dt} = 360 \ cm^3/h

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
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Equality Properties

<u>Geometry</u>

  • Volume of a Rectangular Prism: V = lwh

<u>Calculus</u>

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Derivative Notation

Differentiating with respect to time

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

<u />l = 30 \ cm\\w = l\\\frac{dl}{dt} = 2 \ cm/h\\h = 20 \ cm\\\frac{dh}{dt} = 3 \ cm/h<u />

<u />

<u>Step 2: Differentiate</u>

  1. Rewrite [VRP]:                                                                                                 V = l^2h
  2. Differentiate [Basic Power Rule]:                                                                         \frac{dV}{dt} = 2l\frac{dl}{dt} \frac{dh}{dt}

<u>Step 3: Solve for Rate</u>

  1. Substitute:                                                                                                           \frac{dV}{dt} = 2(30 \ cm)(2 \ cm/h)(3 \ cm/h)
  2. Multiply:                                                                                                               \frac{dV}{dt} = 360 \ cm^3/h

Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.

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3 years ago
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