Direct variation is of the form: y=kx (inverse variation is of the form y=k/x)
Assuming that k is positive :)
y increases as x increases and y decreases as x decreases. There is a direct ratio that is described by k. k=y/x.
Answer:
A. 30000
B. 12000
Step-by-step explanation:
Find out how much spectators leave in 1 minute.
1 second = 5
1 minute = 5 x 60 = 300 (60 seconds)
20 minutes = 300 x 20 = 6000
Since there were only 80% of the full capacity of spectators and after minutes it became 60%...
80% - 60% = 20%
20% = 6000
1% = 6000 ÷ 20 = 300
100% = 300 x 100 = 30000
1 minute = 300 spectators leaving
1 hour = 300 x 60 = 18000 (60 minutes)
30000 - 18000 = 12000
I believe the answer is the first option. 1 to 3 with intervals of 1.
Hope this helps!
Answer:
It will take the boulder approximately 4.28 seconds to hit the road
Step-by-step explanation:
The given height of the cliff from which the boulder falls, h = 90 feet
The equation that can be used to find the time it takes the boulder to fall is h = u·t + (1/2)·g·t²
Where;
h = The height of the cliff = 90 ft.
u = The initial velocity of the boulder = 0 m/s (The boulder is assumed to be at rest when it falls)
g - The acceleration due to gravity ≈ 9.81 m/s²
t = How long it will take for the boulder to hit the road below
Plugging in the values gives;
90 = 0 × t + (1/2)×9.81×t² = 4.905·t²
∴ t = √(90/4.905) ≈ 4.28
The time it takes the boulder to hit the road, t ≈ 4.28 seconds.
