Answer:
Step-by-step explanation:
To solve this problem you need the function
h(t) = -16t2 + v0t + h0
where t = time
v0 is the initial velocity, which in our case is 0
h0 = initial height, which in our case is 256
h(t) = 0 since we want to know when the ball will hit the ground.
0 = -16 t2 + 256
And we can solve for t
If we rearrange the terms we see that this is a difference of 2 squares
0 = 256 - 16t2
0 = (16-4t)(16+4t)
Setting each factor = 0
16-4t=0 16+4t=4
t = 4 t = -4
The second solution is discarded as time cannot be negative.
So the ball will hit the ground in 4 seconds.
Answer:
Step-by-step explanation:
Let assume that Earth is a sphere, the following trigonometric diagram is constructed and presented below. The central angle is given by this inverse trigonometric equation:
The distance of the portion of Earth that can be seen is:
Answer:
0.5 I think. because for every 2 on the x axis, it grows 1 on the y axis.
Answer:
%35 of them were in color
Step-by-step explanation:
Since 30 percent of the first 200 sold were in color, 200x30/100 = 60 of them were in color.
Since 20 percent of the next 300 sold were in color, 300x20/100 = 60 of them were in color.
Since 90 percent of the last 100 sold were in color, 100x90/100 = 90 of them were in color.
In total, 60 + 60 + 90 = 210 out of 600 were in color.
The percentage is: 
= 
→ x = 
= 35
To solve, you first want to find the total she hiked in the morning. 1.75+2.4=4.15. Then, you want to subtact the total miles she hiked in the morning from the total miles she hiked in total. 6.5-4.15=2.35. The last step is to compare the miles hiked in the morning compared to the miles in the afternoon by finding the difference. 4.15-2.35=1.8, so therefore she hiked 1.8 more miles in the morning than in the afternoon,
