Answer:
the ball reaches a height of 64 feet after 2 sec.
The ball is in the air 4 sec.
Step-by-step explanation:
The ball is following the path of a parabola. The maximum height is at the vertex of the parabola.
Let (h, k) be the vertex. h will be the time it takes to reach the maximum height, and k will be that height.
y = 
h = -b/2a = 64/(-2)(-16) = 64/32 = 2
k = -16(2)^2 + 64(2)
-16(4) + 128
- 64 + 128 = 64
V: (2, 64)
So the ball reaches a height of 64 feet after 2 sec.
Let = 0 (0 is the height when the balls hits the ground)
-16t(t - 4) = 0
t = 0 or t = 4
The ball is in the air 4 sec.
The missing number is 4/6
the number line goes 1/6 2/6 3/6 4/6 5/6 6/6
Answer:
C. x ≈ 0.28
Step-by-step explanation:
A graphing calculator solution is attached. It shows ...
x ≈ 0.28
__
You can divide both sides of the given equation by 5, then take natural logs and divide by 5 again.
5e^(5x) = 20 . . . . . . given
e^(5x) = 4 . . . . . . . . divide by 5
5x = ln(4) . . . . . . . . take natural logs
x = ln(4)/5 . . . . . . . divide by 5
x ≈ 0.277259 ≈ 0.28
Answer:
A.
Step-by-step explanation:
d = rt
If t is the time taken by the train, then the truck takes t+2 hours.
For the truck:
d = 45(t + 2)
For the train:
d = 60t
Total distance travelled by both:
= 2d
= 60t + 45(t + 2)
= 60t + 45t + 90
= 105t + 90 where t is the time taken by the train.
Answer:
16%
Step-by-step explanation:
16 + 84 is equal to 100 students in total. 16 students (the number of students that are taking health) / 100 students (the total student body) equals .16, or 16%.
