Answer:
12
Step-by-step explanation:
The proportion is equal to
We can simplify the right side by dividing by 7/7 to get the right side equal to 6/5. Now we can cross-multiply to get
Dividing both sides by 5, we have the answer as
Answer:
1/8
Step-by-step explanation:
Let
The total fraction of the book read = 1
The remaining 4 days be represented as= x
Hence:
1 = Fraction of book read on Monday + Fraction of the book read on Tuesday + Fraction of the book on the remaining 4 days
1 = 1/6+ 1/3 + x
x = 1 - (1/6+ 1/3)
x = 1 - (1 + 2/6)
x = 1 - (3/6)
x = 1 - 1/2
x = 1/2
The fraction of the book read in 4 days = 1/2
To calculate the fraction of the book read on each of the days, since he read the same number of pages on each of the days we have:
1/2 ÷ 4 days
= 1/2 × 1/4
= 1/8
Therefore, the fraction of the book that was read on each of the 4 days is 1/8
Answer:
General Formulas and Concepts:
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Multiplied Constant]:
Derivative Property [Addition/Subtraction]:
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Product Rule]:
Derivative Rule [Chain Rule]:
Implicit Differentiation
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<u>Step 2: Differentiate</u>
- Implicit Differentiation:
- Rewrite [Derivative Property - Addition/Subtraction]:
- Rewrite [Derivative Property - Multiplied Constant]:
- Basic Power Rule [Product Rule, Chain Rule]:
- Basic Power Rule [Chain Rule]:
- Simplify:
- Isolate <em>y'</em> terms:
- Factor:
- Isolate <em>y'</em>:
- Simplify:
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Book: College Calculus 10e
Answer:
81π
Step-by-step explanation:
-The sum of central angles in a circle add up to 360°.
-Let x be the area of the circle.
-Given the area of a 120° is 27π, the circles area can be calculated as:
Hence, the area of the circle is 81π