9514 1404 393
Answer:
16 seconds
Step-by-step explanation:
You want to find t such that h(t) = 0
h(t) = -16t^2 +4096 . . . equation for height
0 = -16t^2 +4096 . . . . .equation for height = 0
16t^2 = 4096 . . . . add 16t^2
t^2 = 256 . . . . . . . divide by 16
t = 16 . . . . . . . . . . . take the positive square root
It will take 16 seconds for the camera to hit the ground.
Answer:
13 and 14.
Step-by-step explanation:
So we have two consecutive integers.
Let's call the first integer a.
Since the integers are consecutive, the other integer must be (a+1) (one more than the last one).
We know that the sum of the greatest integer (or a+1) and twice the lesser integer (a) is 40. Therefore, we can write the following equation:
The first term represents the greatest integer. The second term represents 2 times the lesser integer. And together, they equal 40.
Solve for a. Combine like terms:
Subtract 1 from both sides. The 1s on the left cancel:
Divide both sides by 3:
Therefore, a or the first integer is 13.
And the second integer is 14.
And we can check:
14+2(13)=14+26=40
Answer:
13
Step-by-step explanation:
Volume to find radius:
Substitute:
Solve:
13≈r