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
8, 10, 12, 14, . . .
EXPLANATION
The given rule for the sequence is :
f(n)=2n+6
The domain for a sequence is the set of natural numbers.
When n=1,
f(1)=2(1)+6=8
When n=2,
f(2)=2(2)+6=10
When n=3,
f(3)=2(3)+6=12
When n=4,
f(4)=2(4)+6=14
Therefore the sequence that follows the given rule is
8, 10, 12, 14, . . .
B or c because its lower than the denominator
The pentagon's area is the sum of the 5 triangles that comprise it. This is
where the factor of 2 accounts for the top and bottom. The walls have an area of 5 rectangles
The answer is a. You find the area of each shape and add them
