By what factor does the intensity increase for each whole number increase in the Richter scale? Use your understanding of logari

Answer:

Step-by-step explanation:

Given that lines l and m are parallel and there is a transversal cutting through these lines.

5). (9x + 2)° = 119° [by alternate interior angles]

    9x = 117 ⇒ x = 13

6). (12x - 8)° + 104° = 180°

     12x = 180 - 96

     x = ⇒ x = 7

7). (5x + 7) = (8x - 71) [by alternate exterior angles]

    8x - 5x = 71 + 7

    3x = 78

     x = 26

8). (4x - 7) = (7x - 61) [by corresponding angles]

    7x - 4x = -7 + 61

    3x = 54

     x = 18

9). (9x + 25) = (13x - 19) [by corresponding angles]

    13x - 9x = 25 + 19

    4x = 44

     x = 11

   (13x - 19)° + (17y + 5)° = 180° [linear pairs of angles sum to supplementary]

    (13×11) - 19 + 17y + 5 = 180

    129 + 17y = 180

    17y = 180 - 129

     y = 3

10). (3x - 29) + (8y + 17) = 180 [linear pairs of angles sum to supplementary]

     3x + 8y = 180 + 12

     3x + 8y = 192 -----(1)

     (8y + 17) = (6x - 7) [by alternate exterior angles]

     6x - 8y = 24

     3x - 4y = 12 -----(2)

     From equation (1) subtract equation (2)

     (3x + 8y) - (3x - 4y) = 192 - 12

     12y = 180

     y = 15

     Plugging into equation (1),

     3x + 8(15) = 192

     3x + 120 = 192

    x = 24

11). (3x + 49)° = (7x - 23)° [by corresponding angles]

    7x - 3x = 49 + 23

    4x = 72 ⇒ x = 18

    (11y - 1)° = (3x)° [by corresponding angles]

    11y = 3×18 + 1

     11y = 55 ⇒ y = 5

12). (5x - 38)° = (3x - 4)° [by corresponding angles]

     5x - 3x = 38 - 4

     2x = 34

     x = 17

     (7y - 20)° + (5x - 38)° + 90° = 180°

     [The angles within a triangle sum to 180°]

     7y + 5x - 58 = 90

     5x + 7y = 148

     5×17 + 7y = 148

     85 + 7y = 148

     7y = 148 - 85

     y =

The initial step is to analyze the graph's behavior.
 It doesn’t follow a linear pattern, as the rate of change is inconsistent.
 It also isn’t exponential since the change rate doesn't fluctuate significantly.
 For this scenario, the most suitable regression model would be of the type:
 
 Where,
 a <0: This indicates that the parabola opens downwards.
 Hence, the most appropriate regression model is quadratic.
 Answer:
 From visual analysis, the most fitting regression model for the data observed is:
 A. Quadratic

D1,..,d9 = 0,0,2,2,2,3,4,6,8 //there are 9 values, presented in ascending order
Q2 (median) = d5 = 2 //middle value
Q1 = (d2+d3) / 2 = (0+2)/2 = 1
(Q1 represents the median of d1,d2,d3,d4, but as there is no singular middle element among four, the average is computed)
Q3 = (d7+d8) / 2 = (4+6)/2 = 5
interquartile range = IQR = Q3 - Q1 = 5 -1 = 4
final answer: 4

Response:

15

Detailed explanation:

sqrt230=15.165...

The price of the pencil is $0.25.

To arrive at this conclusion, divide 1.50 by 2 to get 0.75, then deduct 0.5, yielding 0.25. The ruler would be $0.75 plus $0.5, making it $1.25, and the pencil would be $0.75 minus $0.5, totaling $1.50.

Alternatively, you can establish an equation. Let r represent the ruler's cost and p the pencil's. The equations would be:
r + p = 1.50
r = p + 1.00
By substituting (p + 1.00) into the first equation for r, we get:
p + 1.00 + p = 1.50
Simplifying gives:
2p + 1.00 = 1.50
Subtracting 1.00 from both sides results in:
2p = 0.50
Dividing both sides by 2 leads to:
p = 0.25
Thus, the pencil is priced at $0.25.

Hope this clarifies things!:)