Mathematics: Awedding cake has a diameter of 12 inches. the cake decorator needs to know how many strawberries he will need to put around the outside, so he needs the circumference. what is the circumference? leave the answer in terms of π.

Awedding cake has a diameter of 12 inches. the

Ответ:

gtrsoccer

01.01.2022

Mathematics

Diameter = 12 inches

Radius = 6 inches

Circumference = $2 \pi r$ = $2 * \pi * 6 = 12 \pi$ inches

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Ответ:

rosetoheart2

01.01.2022

Mathematics

The circumference in terms is $12\pi$ .

Step-by-step explanation:

We are given that,

The diameter of the cake = 12 inches.

Then, the radius of the cake = $\frac{12}{2}$ = 6 inches

Since, we know that,

Circumference of a circle = $2\pi r$

So, we get,

Circumference of the cake = $2\pi \times 6$

i.e. Circumference of the cake = $12\pi$

Hence, the circumference in terms is $12\pi$ .

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Ответ:

Hruai

31.12.2022

Mathematics

$\displaystyle y'(1, \frac{3}{2}) = -3$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)FunctionsFunction NotationTerms/CoefficientsExponential Rule [Rewrite]: $\displaystyle b^{-m} = \frac{1}{b^m}$

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

$\displaystyle y = \frac{3}{2x^2}$

$\displaystyle \text{Point} \ (1, \frac{3}{2})$

Step 2: Differentiate

[Function] Rewrite [Exponential Rule - Rewrite]: $\displaystyle y = \frac{3}{2}x^{-2}$ Basic Power Rule: $\displaystyle y' = -2 \cdot \frac{3}{2}x^{-2 - 1}$ Simplify: $\displaystyle y' = -3x^{-3}$ Rewrite [Exponential Rule - Rewrite]: $\displaystyle y' = \frac{-3}{x^3}$

Step 3: Solve

Substitute in coordinate [Derivative]: $\displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1^3}$ Evaluate exponents: $\displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1}$ Divide: $\displaystyle y'(1, \frac{3}{2}) = -3$

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

Unit: Derivatives

Book: College Calculus 10e

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Awedding cake has a diameter of 12 inches. the cake decorator needs to know how many strawberries he will need to put around the outside, so he needs the circumference. what is the circumference? leave the answer in terms of π.

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