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Nat2105 [25]
2 years ago
6

Need help asap!!!! What’s the answer to this?? Having any answers

Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
3 0

Hello.

One jug contains

650 millilitres of water.

The other jug contains

300 millilitres of oil.

In order to find how much more water there is than oil, we need to take the amount of oil and subtract it from the amount of water:

\mathrm{650-300}

\mathrm{350}

Therefore, there are 350 more millilitres of water than oil.

I hope it helps.

Have a nice day.

\boxed{imperturbability}

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The sets A, B, and C are defined as follows:
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The element of B × A × C is equivalent to the element of  A × B × C.

B × A × C = {tall foam nonfat, tall foam whole, tall no-foam nonfat, tall no-foam whole, grande foam non fat, grande foam whole, grande no foam nonfat, grande no foam whole, venti foam nonfat,, venti foam whole, venti nofoam nonfat, venti nofoam whole}

For the element of B × C

B × C = {foam nonfat, foam whole, no foam nonfat, no foam whole}

<h3>Product of sets</h3>

Given the following sets

A = {tall, grande, venti}

B = {foam, no-foam}

C = {non-fat, whole}

The set of A * B is expressed as:

A * B = {tall foam, tall no foam, grande foam, grande no foam, venti foam, venti nofoam}

A × B × C =  {tall foam nonfat, tall foam whole, tall no-foam nonfat, tall no-foam whole, grande foam non fat, grande foam whole, grande no foam nonfat, grande no foam whole, venti foam nonfat,, venti foam whole, venti nofoam nonfat, venti nofoam whole}

The element of B × A × C is equivalent to the element of  A × B × C.

B × A × C = {tall foam nonfat, tall foam whole, tall no-foam nonfat, tall no-foam whole, grande foam non fat, grande foam whole, grande no foam nonfat, grande no foam whole, venti foam nonfat,, venti foam whole, venti nofoam nonfat, venti nofoam whole}

For the element of B × C

B × C = {foam nonfat, foam whole, no foam nonfat, no foam whole}

Learn more on set notation here: brainly.com/question/24462379

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Hello again! This is another Calculus question to be explained.
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Answer:

See explanation.

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

<u>Algebra I</u>

Functions

  • Function Notation
  • Exponential Property [Rewrite]:                                                                   \displaystyle b^{-m} = \frac{1}{b^m}
  • Exponential Property [Root Rewrite]:                                                           \displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}

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Derivative Property [Multiplied Constant]:                                                           \displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)

Derivative Property [Addition/Subtraction]:                                                         \displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]

Basic Power Rule:

  1. f(x) = cxⁿ
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Derivative Rule [Chain Rule]:                                                                                 \displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)

Step-by-step explanation:

We are given the following and are trying to find the second derivative at <em>x</em> = 2:

\displaystyle f(2) = 2

\displaystyle \frac{dy}{dx} = 6\sqrt{x^2 + 3y^2}

We can differentiate the 1st derivative to obtain the 2nd derivative. Let's start by rewriting the 1st derivative:

\displaystyle \frac{dy}{dx} = 6(x^2 + 3y^2)^\big{\frac{1}{2}}

When we differentiate this, we must follow the Chain Rule:                             \displaystyle \frac{d^2y}{dx^2} = \frac{d}{dx} \Big[ 6(x^2 + 3y^2)^\big{\frac{1}{2}} \Big] \cdot \frac{d}{dx} \Big[ (x^2 + 3y^2) \Big]

Use the Basic Power Rule:

\displaystyle \frac{d^2y}{dx^2} = 3(x^2 + 3y^2)^\big{\frac{-1}{2}} (2x + 6yy')

We know that y' is the notation for the 1st derivative. Substitute in the 1st derivative equation:

\displaystyle \frac{d^2y}{dx^2} = 3(x^2 + 3y^2)^\big{\frac{-1}{2}} \big[ 2x + 6y(6\sqrt{x^2 + 3y^2}) \big]

Simplifying it, we have:

\displaystyle \frac{d^2y}{dx^2} = 3(x^2 + 3y^2)^\big{\frac{-1}{2}} \big[ 2x + 36y\sqrt{x^2 + 3y^2} \big]

We can rewrite the 2nd derivative using exponential rules:

\displaystyle \frac{d^2y}{dx^2} = \frac{3\big[ 2x + 36y\sqrt{x^2 + 3y^2} \big]}{\sqrt{x^2 + 3y^2}}

To evaluate the 2nd derivative at <em>x</em> = 2, simply substitute in <em>x</em> = 2 and the value f(2) = 2 into it:

\displaystyle \frac{d^2y}{dx^2} \bigg| \limits_{x = 2} = \frac{3\big[ 2(2) + 36(2)\sqrt{2^2 + 3(2)^2} \big]}{\sqrt{2^2 + 3(2)^2}}

When we evaluate this using order of operations, we should obtain our answer:

\displaystyle \frac{d^2y}{dx^2} \bigg| \limits_{x = 2} = 219

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

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