<span>The was a 30% decrease in area.
You started with 40 sq ft and ended up with 28 sq ft. So you lost 40 - 28 = 12 sq ft.
Now you need to figure out what percentage of 40 is 12. For that you just simply divide
12 / 40 = 0.30
And to convert 0.30 from a decimal to a percentage, just multiply by 100.
0.30 * 100 = 30%</span>
Answer:
General Formulas and Concepts:
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Multiplied Constant]:
Derivative Property [Addition/Subtraction]:
Derivative Rule [Basic Power Rule]:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Integration
Integration Rule [Reverse Power Rule]:
Integration Property [Multiplied Constant]:
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 and Properties]:
- [<em>du</em>] Rewrite [U-Solve]:
<u>Step 3: Integrate Pt. 2</u>
- [Integral] Apply U-Solve:
- [Integrand] Simplify:
- [Integral] Rewrite [Integration Property - Multiplied Constant]:
- [Integral] Apply Integration Rule [Reverse Power Rule]:
- [<em>u</em>] Back-substitute:
∴ we have used u-solve (u-substitution) to <em>find</em> the indefinite integral.
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Answer:
x= 1/20
Step-by-step explanation:
-1/2x = -10
multiply by 2x on each side
2x(-1/2x) = -10*2x
-1 = -20x
divide by -20
-1/-20 = -20x/-20
1/20 =x
Answer:
1 mile = 160934 cm
Step-by-step explanation:
1 mile = 1609.34 m
1 m = 100 cm
1 mile = 1609.34 * 100 = 160934 cm
Answer:
Step-by-step explanation:
To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.
(I use the notation x|y to denote that x divides y)
(A)
(B)
In this case, it is easier to also factor the divisor to primes:
Both of these factor must be matched in the dividend in order to prove divisibility, and that indeed turns out to be true: