Answer:
i think its a beaner
Step-by-step explanation:
Answer:
1/27
Step-by-step explanation:
[(3^-5)(3^4)]^3
= [(3^(-5+4)]^3
= [3^-1]^3
= 3^-3
= 1/3^3
= 1/27
From the problem description, we can construct an algebraic equation for the situation. Let S be the salary and x be the number of employees.
S = kx
where k is the proportionality constant
Using variation,
k = S₁/x₁ = S₂/x₂
Substituting,
34000/12 ? 36000/16
2833.33 ? 2250
Thus,
2833.33 ≠ 2250
<em>It does not follow the company's policy.</em>
<h3>
Two possible answers: 6 or -6</h3>
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Explanation:
r = common ratio
To get any term in a geometric sequence, we multiply the previous term by r.
So that means 4r is the second term, since 4 is the first term.
The third term is (4r)*r = 4r^2, which is equal to 9 as given to us.
4r^2 = 9
4r^2 - 9 = 0
(2r)^2 - (3)^2 = 0
(2r - 3)(2r + 3) = 0 ... difference of squares rule
2r-3 = 0 or 2r+3 = 0
2r = 3 or 2r = -3
r = 3/2 or r = -3/2
r = 1.5 or r = -1.5
We can use each r value to find the possible second term
S = 4r = 4*(1.5) = 6
S = 4r = 4*(-1.5) = -6
The second term is either 6 or -6.
We could have this sequence: 4, 6, 9, ...
Or we could have this sequence: 4, -6, 9, ...
Answer:
x = 8√2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only]: Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use PT to solve for the missing length.
<u>Step 2: Identify Variables</u>
Leg <em>a</em> = 8
Leg <em>b</em> = 8
Hypotenuse <em>c</em> = <em>x</em>
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute [PT]: 8² + 8² = x²
- Exponents: 64 + 64 = x²
- Add: 128 = x²
- Isolate <em>x</em>: 8√2 = x
- Rewrite: x = 8√2
