Answer:
h(t) = -16t2 + 144
h(1) = -16(12) + 144 = 128 ft
h(2) = -16(22) + 144 = 80 ft
h(2) - h(1) = 80 - 128 = -48 ft
It fell 48 ft between t = 1 and t = 2 seconds.
It reaches the ground when h(t) = 0
0 = -16t2 + 144
t = √(144/16) s = 3s
It reaches the ground 3s after being dropped.
Step-by-step explanation:
To compute for the debt-to-GDP ratio, we just have to divide the debt given in this item by the GDP and convert the quotient to percentage. That is,
debt-to-GDP ratio = (9,529,034,179,824,022)/ (16,247,683,987,248,007) x 100%
debt-to-GDP ratio = 58.65%
Thus, the answer is FALSE.
Answer:
W is not a subspace.
Step-by-step explanation:
Notice that (-1,2,2) and (-1,5,3) are both elements of W. Because its x coordinate, x = -1, satisfy the condition |x| = 1.
but (-1,2,2) + (-1,5,3) = (-2,7,5) do not belongs to W. Because its first coordinate, x =-2, do not satisfy |x| = 1.
Answer:
The correct answer is option C: (8, 14).
Step-by-step explanation:
The car's displacement in vector form can be found by subtracting the initial points from the final points.
Initial: (x₁, y₁) = (-3, -5)
Final: (x₂, y₂) = (5, 9)
For the x-coordinate, we have:
And for the y-coordinate, we have:
The car's displacement in vector form is:
Therefore, the correct answer is option C: (8, 14).
I hope it helps you!
