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3 years ago

48 cups________ 11 qt (equal to, less than, greater than)

Mathematics

1 answer:

WINSTONCH [101]3 years ago

8 0

48 cups = 12 quarts therefor, 48 greater than 11qt

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Answer:

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General Formulas and Concepts:

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Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

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Volume of a Rectangular Prism: V = lwh

Calculus

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Derivative Notation

Differentiating with respect to time

Basic Power Rule:

f(x) = cxⁿ
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Step-by-step explanation:

Step 1: Define

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

Step 2: Differentiate

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

Step 3: Solve for Rate

Substitute: $\frac{dV}{dt} = 2(30 \ cm)(2 \ cm/h)(3 \ cm/h)$
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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