Answer:
|5|, |-6|, |4|, |-3.5|...
Step-by-step explanation:
The absolute value is related with the distance between the number and the zero of the number line, then each number greater than 3 will have an absolute value greater than 3, as we can see in the picture, the numbers positive or negative will have a positive distance to the origin of the number line.
Answer:
The value of p at q = 5 is 406.25
Step-by-step explanation:
∵ p varies directly as the cube of q
→ That means p ∝ q³
∴ The equation of variation is p = kq³, where k is the constant of variation
∵ p = 26 when q = 2
→ Use them to find the value of k
∵ 26 = k(2)³
∴ 26 = k(8)
∴ 26 = 8k
→ Divide both sides by 8
∴
∴ 3.25 = k
→ Substitute it in the equation of variation
∴ p = 3.25 q³ ⇒ equation of variation
∵ q = 5
→ Substitute it in the equation of variation to find p
∴ p = 3.25 (5)³
∴ p = 406.25
∴ The value of p at q = 5 is 406.25
Answer:
Explained
Step-by-step explanation:
average speed from Tallahassee to Gainesville is 30miles/hour
and the total average speed of the whole trip is 40 miles/hour
let the average speed in return journey be x miles per hour.
we know that if the distance is constant the average speed of the whole trip is given as
on calculating we get x= 60 miles/hour
now, since the distance between two places is always constant, the result does not matter on the distance between two places. The average speed will remain the same.