Definition: To solve a problem, we often _________ the given information into algebraic expressions and equations.
2 answers:
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Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
Equality Properties
<u>Geometry</u>
- Volume of a Rectangular Prism: V = lwh
<u>Calculus</u>
Derivatives
Derivative Notation
Differentiating with respect to time
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
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<u>Step 2: Differentiate</u>
- Rewrite [VRP]:
- Differentiate [Basic Power Rule]:
<u>Step 3: Solve for Rate</u>
- Substitute:
- Multiply:
Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.
Answer:
49 - 9π
Step-by-step explanation:
Area of white portion = area of triangle - area of circle
To find the area of the triangle:
The area of a triangle can be calculated using this formula
where b = base length and h = height
The height given is 7m and the base length given is 14m
That being said we plug in the given values into the formula
Hence, the area of the triangle is 49 sq meters.
To find the area of circle
( note that the area is in terms of pi; shown by the answer choices. )
Formula for area of a circle =
We are given the diameter ( 6m )
However, we need the radius
To convert diameter to radius we divide by 2
6/2 = 3 so the radius = 3m
Now we plug in 3 into the formula
Remember we do not apply pi because the answer should be in terms of pi.
Now we subtract the two
Area of white portion = 49 - 9π
Hence, the answer is A