Answer:
Option B: 6x-4=50; x=9 is the correct answer.
Step-by-step explanation:
Given that:
x is the variable used for number.
6 times a number means 6x and difference means subtraction.
Thus according to given statement;
6x - 4 = 50
Adding 4 on both sides
6x - 4 + 4 = 50+4
6x = 54
Dividing both sides by 6
Hence,
Option B: 6x-4=50; x=9 is the correct answer.
Answer:
Step-by-step explanation:
<u>Given:</u>
2/20 : 1/40
A). First re-write the ratio as follows;
(i) Change the ratio sign to division (÷). i.e
2/20 ÷ 1/40
(ii) Solve the expression by changing the division to multiplication(×). This also means you will need to swap the numerator and the denominator of the second term. i.e (1 / 40) becomes (40 / 1)
(2/20) × (40 / 1) = × =
B). Now convert the result from above to unit rate. A unit rate is a rate in which the denominator has a value of 1.
So to convert to unit rate, we keep simplifying until the denominator becomes 1.
And since the denominator is already 1, there is no need for further simplification.
Therefore, 2/20 : 1/40 to unit rate is
The ratio of circumference to diameter is the irrational constant named "pi." It is approximately 3.141592653589793238462643... and is sometimes approximated by 22/7.
Selection A.
Answer:
72%
Step-by-step explanation:
36*100=3600
3600/50=72
Answer:
(a)
General Formulas and Concepts:
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Addition/Subtraction]:
Derivative Rule [Basic Power Rule]:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Integration
Integration Methods: U-Substitution and U-Solve
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given.</em>
<em />
<u>Step 2: Integrate Pt. 1</u>
<em>Identify variables for u-substitution/u-solve</em>.
- Set <em>u</em>:
- [<em>u</em>] Differentiate [Derivative Rules, Properties, and Trigonometric Differentiation]:
- [<em>du</em>] Rewrite [U-Solve]:
<u>Step 3: Integrate Pt. 2</u>
- [Integral] Apply Integration Method [U-Solve]:
- [Integrand] Simplify:
- [Integral] Apply Logarithmic Integration:
- [<em>u</em>] Back-substitute:
∴ we have used substitution to <em>find</em> the indefinite integral.
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration