On the way up, 1.8 seconds and on the way down 4.1 seconds.
Step-by-step explanation:
Use the motion under gravity equation s = ut + 0.5gt^2 where u = initial velocity, s = the height, t = time and g = acceleration due to gravity ( 32 fts-2).
So 120 = 95t + 0.5(-32)t^2
-16t^2 + 95t - 120 = 0
Solving this using the quadratic formula:
t = [-95 +/- √(95^2 - 4 * -16*-120)] / -32
t = 1.823, 4.1148.
The first value refers to the upward journey and the second to the downward journey.
4
Step-by-step explanation:
3 72/120
÷24 ÷24
3 3 / 5 = 3 + 3/5 = 3 + 6/10 = 3 + 0.6 = 3.6 ≈ 4 rounded to the nearest half since 3.6 is closer to 4 than 3
On the way up, 1.8 seconds and on the way down 4.1 seconds.
Step-by-step explanation:
Use the motion under gravity equation s = ut + 0.5gt^2 where u = initial velocity, s = the height, t = time and g = acceleration due to gravity ( 32 fts-2).
So 120 = 95t + 0.5(-32)t^2
-16t^2 + 95t - 120 = 0
Solving this using the quadratic formula:
t = [-95 +/- √(95^2 - 4 * -16*-120)] / -32
t = 1.823, 4.1148.
The first value refers to the upward journey and the second to the downward journey.
the difference from 240 to 120 is 50%
Sqrt 120 rounded to the nearest hundredth = 10.95
4x² + 43 = 120
4x² = 120 - 43
4x² = 77
x² = 77/4
x² = 19.25
x = ±√19.25
x = ±4.39
The solutions are ±4.39
8.9
Step-by-step explanation:1 is less then 5 so you round down
Step-by-step explanation:
Given that,
Velocity of the ball in the air is , v = 95 ft/s
We need to find the time when the ball is at a height of 120 feets. The equation of projectile is given by the following formula :
[tex]h(t)=-16t^2+vt[/tex]
Here, h(t) = 120 feets
[tex]-16t^2+95t-120=0[/tex]
On solving above equation, we get the value of t as :
t = 1.823 s
t = 4.115 s
Therefore, at 1.823 seconds and 4.115 seconds the ball is at a height of 120 feets.
8 9
Step-by-step explanation:
1 is less that 5 therefore the 9 does not change its value
1. 18 cent per apple
2. 84
3.$9.10
4. 460 meters
Step-by-step explanation:
1. divide 1.45 by 8 to get price per apple
1.45/8=0.18
2. convert 70% into a decimal
70%=.70
multiply by amount
120(.70)=84
3. convert 20% into a decimal
20%=.20
multiply by amount
45.50(.20)=9.10
4. 1 meter = 100 cm therefore 4.6 meters = 460 cm
42.9%
Step-by-step explanation:
-42.857142857142854 is the exact number. Rounded to 42.9% thus b: is the correct answer.
Formula:
[(120 - 210) / 210] × 100% = -0.42857142857142855 × 100% = -42.857142857142854%