Answers:
The first five terms are: 3, 8, 13, 18, 23
This is a linear sequence
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Explanation:
Plug in n = 1 to get the first term
E(n) = 5*n-2
E(1) = 5*1-2
E(1) = 3
So 3 is the first term
Do the same for n = 2 to get the second term
E(n) = 5*n-2
E(2) = 5*2-2
E(2) = 8
So 8 is the second term
And again for n = 3
E(n) = 5*n-2
E(3) = 5*3-2
E(3) = 13
This means 13 is the third term
And again for n = 4
E(n) = 5*n-2
E(4) = 5*4-2
E(4) = 18
This means 18 is the fourth term
Finally, repeat for n = 5
E(n) = 5*n-2
E(5) = 5*5 - 2
E(5) = 23
So 23 is the fifth term
This sequence is linear because we're incrementing by the same amount each time. In this case, we're adding 5 each time for the sequence 3, 8, 13, 18, 23, and so on.
2 points on the line are (10,5) and (2,-3)
slope between is 1
point slope is. y-5=(x-10) or y = x-5
Answer:
A ≈ 40°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality<u>
</u>
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] sinθ = opposite over hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Identify</u>
Angle θ = A
Opposite Leg = 27
Hypotenuse = 42
<u>Step 2: Solve for </u><em><u>A</u></em>
- Substitute [sine]: sinA = 27/42
- Simplify: sinA = 9/14
- Trig inverse: A = sin⁻¹(9/14)
- Evaluate: A = 40.0052°
- Round: A ≈ 40°
They weigh the same --- One pound.
One pound of feathers = One pound of iron