X=-56/3
multiply everything by 4 to cancel the fraction which will give you
3x+20=-36
then combine like terms to get
3x=-56
then divide to get x by itself to get
x=-56/3
since this is a weird decimal, leave it as an improper fraction
Applying the formula for the area of a sector and length of an arc, the value of k is calculated as: 27.
<h3>What is the Area of a Sector?</h3>
Area of a sector of a circle = ∅/360 × πr²
<h3>What is the Length of an Arc?</h3>
Length of arc = ∅/360 × 2πr
Given the following:
- Radius (r) = 9 cm
- Length of arc = 6π cm
- Area of sector = kπ cm²
Find ∅ of the sector using the formula for length of acr:
∅/360 × 2πr = 6π
Plug in the value of r
∅/360 × 2π(9) = 6π
∅/360 × 18π = 6π
Divide both sides by 18π
∅/360 = 6π/18π
∅/360 = 1/3
Multiply both sides by 360
∅ = 1/3 × 360
∅ = 120°
Find the area of the sector:
Area = ∅/360 × πr² = 120/360 × π(9²)
Area = 1/3 × π81
Area = 27π
Therefore, the value of k is 27.
Learn more about area of sector on:
brainly.com/question/22972014
Answer: 1308
Step-by-step explanation:
Given : Level of confidence = 0.97
Significance level : 
Critical value : 
Margin of error : 
If prior proportion of population is unknown , then the formula to find the population proportion is given by :-
Hence, the minimum sample size needed =1308
63-52
11!
Hope this helps
Answer:
a) (f+g)(x) = 6x^2 +6x -10
b) (f-g)(x) = 6x^2 -2x -4
Step-by-step explanation:
a. (f+g)(x) = f(x) +g(x) = (6x^2 +2x -7) +(4x -3)
(f+g)(x) = 6x^2 +6x -10
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b. (f-g)(x) = f(x) -g(x) = (6x^2 +2x -7) -(4x -3)
(f-g)(x) = 6x^2 +2x -7 -4x +3
(f-g)(x) = 6x^2 -2x -4
