The common difference is 19-7 = 31-19 = 12, so this is an arithmetic sequence. The initial term (when n=1) is 7.
The explicit formula for the terms of an arithmetic sequence is
an = a1 + d(n-1)
where "a1" is the first term and "d" is the common difference. The formula that matches a1=7 and d=12 is
B. a(n) = 7+(n-1)·12
Answer:
The answer to the question is 50.28 feet²
Step-by-step explanation:
Here, is why the answer to the problem is 13.72!
The area of the shaded region is:-
Area of total region - Area of the circular region
Area of total region is 8² so it is 64 feet²
Area of Circular region formula is πr²
Substitute the values, for the formula and it is π4² = 22/7 × 16
→ 352/7
⇒ 13.72 Feet²
Therefore, the area of the shaded region is 13.72 Feet²
(Now, we subtract the two values)
64 - 13.72
⇒ 50.28 Feet²
I hope this answer helps!
Answer:
- 1) y = 13.5x + 1
- 2) y = 12x + 4
- 3) Sam won the race
Step-by-step explanation:
<h3>Part 1</h3>
Sam's car is 1 ft in front of the start line and its speed is 13.5 ft/s.
<u>The distance after x seconds is:</u>
<h3>Part 2</h3>
Alice's car the speed 12 ft/s and after 3 seconds is 40 ft in front of the start line.
<u>The distance after x seconds is:</u>
- y = 12(x - 3) + 40 = 12x - 36 + 40 = 12x + 4
<h3>Part 3</h3>
<u>After 15 seconds the distance from the start line is:</u>
- Sam ⇒ y = 13.5*15 + 1 = 203.5 ft
- Alice ⇒ y = 12*15 + 4 = 184 ft
As we see Sam is further from the start line than Alice
The answer for t is 4 and the proportional relationship is 9
