Answer:
N'(x)=90 In(43)*43^x-90 In(50)*43^x /50^x
Step-by-step explanation:
Answer:
f(g(x)) = 15x + 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
- Functions
- Function Notation
- Composite Functions
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 5x + 7
g(x) = 3x - 1
<u>Step 2: Find</u>
- Substitute in functions: f(g(x)) = 5(3x - 1) + 7
- [Distributive Property] Distribute 5: f(g(x)) = 15x - 5 + 7
- [Addition] Combine like terms: f(g(x)) = 15x + 2
Answer:
6.96%
Step-by-step explanation:
Assuming that the total number of races who did not finish the race are the ones who gave up and were disqualified:
(14+4)/230 = 0.06957
convert to percentage 0.06956*100= 6.957%
Answer:
A = 0.785m²
B = 31400cm²
C = 7850cm²
D = 785,000mm²
Step-by-step explanation:
To solve this question, we'll have to find the area of a circle which is
Area of a circle = πr²
1. The diameter of the circle = 1m
Area of a circle = πr²
r = radius of the circle
π = 3.14
Radius = diameter / 2
Radius = 1 / 2 = 0.5m
Area = 3.14 × (0.5)²
Area = 3.14 × 0.25
Area = 0.785m²
2. Radius = 100cm
Area of a circle = πr²
Area = 3.14 × (100)²
Area = 3.14 × 10000
Area = 31400cm²
3. Diameter = 100cm
Area = πr²
Radius = diameter / 2
Radius = 100 / 2
Radius = 50cm
Area = πr²
Area = 3.14 × (50)²
Area = 3.14 × 2500
Area = 7850cm²
4. Radius = 500mm
Area = πr²
Area = 3.14 × (500)²
Area = 3.14 × 250,000
Area = 785,000mm²
63 dives by 7 is 9 so 63-9 is 54
Answer 54
