Answer:
a. 144 ft
b. 5 s
Step-by-step explanation:
h = -16t² + 64t + 80
a. This is a parabola, so the maximum height is at the vertex.
t = -64 / (2 × -16)
t = 2
h = -16(2)² + 64(2) + 80
h = 144
The apple reaches a maximum height of 144 ft.
b. 0 = -16t² + 64t + 80
0 = t² − 4t − 5
0 = (t + 1) (t − 5)
t = -1 or 5
t must be positive, so it takes 5 seconds to reach the ground.
Working attached below. Hope this helps! Any questions let me know :)
Answer
The initial temperature was T = -7 degrees
Step-by-step explanation:
Let the initial temperature be T.
- The tempature was very cold
Temperarure = T
- Then it doubled
Temperature = 2T
- Then it dropped 10 degrees
Temperature = 2T - 10
- And then it increased by 40 degrees.
Temperature = 2T - 10 + 40 = 2T + 30
The tempature is now 16 degrees
Temperature = 16 degrees
2T + 30 = 16
2T = -14
T = -7 degrees
Hope this Helps!!!
Answer:
43.2 degrees
Step-by-step explanation:
1. First, find the total number of people who were surveyed.
165+135+60+130+10=500
2. Next, figure out how many the Marine Corps is out of those 500 people.
60/500= 0.12 =12%
3. Last, find out what degree the 12% would take up.
We know that a circle is 360 degrees. To find 12% of 360 degrees, you will do:
0.12*360=43.2
So, the answer is 43.2 degrees
Since they are equal to 90 degrees. (complimentary angles)
6x-11+7x+10= 90
Combine like terms.
13x-1= 90
Add one to both sides.
13x= 91
x= 7
Plug that into the b.
7(7)+10
49+10
59
I hope this helps!
~kaikers
