Answer:
R(n)=100,000(0.5)^n
Step-by-step explanation:
Answer:
Step-by-step explanation:
The average length of each car is
0.003 mile. The length of each car includes the bumper. The cars are in one lane. This means all the cars can be assumed to form a long line of cars that is uniform in length. This length is divided into equal lengths if cars.
The length of the traffic jam which is also the length of the line of is 7/8 = 0.875 mile long.
The number of cars would be in the that would be in the traffic jam will be length of the traffic jam/ length of each car. It becomes
0.875/0.003 = 292 cars
Bar over decimal means repeating
Answer:
The slope of the line of best fit is
⇒ 2nd option
Step-by-step explanation:
The formula of the slope of a line is
<em>To find the slope of the best line fit choose two points their positions make the number of the points over the line equal to the number of the points below the line</em>
From the attached graph points (1 , 9) and (8 , 3) are the best choice
∵ The line passes through points (1 , 9) and (8 , 3)
∴
= 1 and
= 8
∴
= 9 and
= 3
- Substitute them in the formula of the slope
∴ 
∴ The slope of the line of best fit is
Answer: x = 50
Concept:
Here, we need to know the idea of alternative interior angles and the angle sum theorem.
<u>Alternative interior angles</u> are angles that are formed inside the two parallel lines, and the values are equal.
The <u>angle sum theorem</u> implies that the sum of interior angles of a triangle is 180°
If you are still confused, please refer to the attachment below or let me know.
Step-by-step explanation:
<u>Given information:</u>
AC ║ DE
∠ABC = 85°
∠A = 135°
<u>Find the value of ∠BAC</u>
∠A + ∠BAC = 180° (Supplementary angle)
(135°) + ∠BAC = 180°
∠BAC = 45°
<u>Find the value of ∠BCA</u>
∠ABC + ∠BAC + ∠BCA = 180° (Angle sum theorem)
(85°) + (45°) + ∠BCA = 180°
∠BCA = 50°
<u>Find the value of x (∠EBC)</u>
∠EBC ≅ ∠BCA (Alternative interior angles)
Since, ∠BCA = 50°
Therefore, ∠EBC = 50°

Hope this helps!! :)
Please let me know if you have any questions