The way tires on wheels work is that when the wheel turns one complete
turn, it moves (forward or backward) by a distance that's the circumference
of the tire.
Now, we know that the circumference of a circle is (π) times the diameter.
The diameter of the tire on this bus is 1 meter. So its circumference is
(π · 1 meter), and every time it turns once, the bus moves 1 meter down
the road.
If the tire rotated 8,000 times, then the bus moved 8,000π meters,
or 8π kilometers.
THAT's the exact answer. If you want to know how far that actually is,
then you take some number that's approximately π and multiply it by
8 km. You can never get an exact answer like that, because you can
never write the exact value of π with digits.
In school, we often use ' 3.14 ' for π . If you do that, then the bus
traveled
(8 km) x (3.14) = 25.1 kilometers .
When you do that, you have to remember that it's approximate.
If you want an exact answer, then you have to leave π in the answer.
You divide by -7 on both sides then add three to both sides and the answer is -3
Answer:
The rule could be an = 6*2^(n-1)
Step-by-step explanation:
If it is a geometric sequence
Fifth term a5 = a1 r^4 where a1 is the first term
a1 r^4 = 96
r^4 = 96/a1
2^4 = 16 and 96/16 = 6 so a1 could be 6
Check: 6*2^(5-1) = 6*2^4 = 96.
Answer:
D
Step-by-step explanation:
Given
x² - 7x + 12
Consider the factors of the constant term (+ 12) which sum to give the coefficient of the x- term (- 7)
The factors are - 4 and - 3, since
- 4 × - 3 = + 12 and - 4 - 3 = - 7, thus
x² - 7x + 12 = (x - 4)(x - 3) ← in factored form → D
