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3 years ago

PLS HELP ME ASAP! 8) Determine the side length of the cube whose volume is 729 cubic inches. (explain-answer)

Mathematics

1 answer:

jeka57 [31]3 years ago

4 0

Answer:

The side length of the cube is 9.

Step-by-step explanation:

To find the volume of a cube you use the equation V=E³, although edge can mean length.

Since we already know the volume though, we have to do this equation backwards, and find the cubed root of 729.

To do this we do $\sqrt[3]{729\\}$ which will give us our answer of 9 cubic inches.

Hope this helped!

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Martha wants to build a rectangular wooden border around the perimeter of her children's playground. She can find the perimeter

lutik1710 [3]

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3 years ago

13/18 % of a quantity is equal to what fraction of the quantity?

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2 years ago

Urgent. Please show all work

myrzilka [38]

Answer:

$\displaystyle f'(x) = \frac{4}{x^2}$

General Formulas and Concepts:

Calculus

Limits

Limit Rule [Variable Direct Substitution]: $\displaystyle \lim_{x \to c} x = c$

Differentiation

Derivatives
Derivative Notation

The definition of a derivative is the slope of the tangent line: $\displaystyle f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}$

Step-by-step explanation:

Step 1: Define

Identify.

$\displaystyle f(x) = -\frac{4}{x}$

Step 2: Differentiate

[Function] Substitute in x: $\displaystyle f(x + h) = -\frac{4}{x + h}$
Substitute in functions [Definition of a Derivative]: $\displaystyle f'(x) = \lim_{h \to 0} \frac{-\frac{4}{x + h} - \big( -\frac{4}{x} \big)}{h}$
Simplify: $\displaystyle f'(x) = \lim_{h \to 0} \frac{4}{x(x+ h)}$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle f'(x) = \frac{4}{x(x+ 0)}$
Simplify: $\displaystyle f'(x) = \frac{4}{x^2}$

∴ the derivative of the given function will be equal to 4 divided by x².

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Learn more about derivatives: brainly.com/question/25804880

Learn more about calculus: brainly.com/question/23558817

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

Unit: Differentiation

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2 years ago