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erastovalidia [21]
3 years ago
11

One can of frosting covers about 280 square inches. Is one can of frosting enough to frost the cake?

Mathematics
1 answer:
kozerog [31]3 years ago
4 0

Answer: Yes, because you only need 249 in^2 and it will cover 280 in^2

Step-by-step explanation:

SA=LW+2WH+2LH

SA=13(9)+2(9)(3)+2(13)(3)

SA=249 IN

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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

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  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
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<u>Calculus</u>

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Derivative Notation

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Basic Power Rule:

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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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