the length of the line is 2 1/16
Answer:
g(f(2)) = 11
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x - 2
g(x) = x² - 5
<u>Step 2: Find g(f(2))</u>
f(2)
- Substitute in <em>x</em>: f(2) = 3(2) - 2
- Multiply: f(2) = 6 - 2
- Subtract: f(2) = 4
g(f(2))
- Substitute in <em>x</em>: g(4) = 4² - 5
- Exponents: g(4) = 16 - 5
- Subtract: g(4) = 11
the gcf is product of gcf each factor,
gcf(40a³b,24a³b⁵)
= gcf(40,24)•gcf(a³,a³)•gcf(b,b⁵)
= 8a³b
Answer:
You would expect to get 50 heads
Step-by-step explanation:
Each time you flip a coin you will either get heads or tails. This means that you have a 1/2 probability of getting heads. If you use this then you need to multiply 1/2 and 100 to get the expected amount of heads. Multiplying by a half is just dividing by 2. Therefore, the answer is 100/2 = 50. The answer is 50 heads
Answer:
11%
Step-by-step explanation:
<em>Percentage increase = (New average- previous average)/previous average x 100</em>
<em>New average: 1554</em>
<em>Previous average: 1400</em>
Percentage increase = (1554-1400)/1400 x 100
Percentage increase = 154/1400 x 100
Percentage increase = 0.11 x 100
Percentage increase = 11%
Therefore, the average increased by 11%.
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