Answer:
0.125 seconds.
Step-by-step explanation:
We have been given that the height of a ball above the ground as a function of time is given by the function
, where h is the height of the ball in feet and t is the time in seconds.
We can see that our given equation is a downward opening parabola as its leading coefficient is negative. The maximum point will be vertex of parabola.
To find the time, when the ball would be at its maximum height, we need to find the x-coordinate of vertex.
Using formula
, we will find the x-coordinate of vertex of parabola as:





Therefore, the ball will be at a maximum height after 0.125 seconds.
Answer:
Step-by-step explanation:
That's B: the surface area.
The volume of the sphere is V = (4/3)πr³; A = 4πr² happens to be the derivative of V with respect to r.
Answer:
29.411 % of the result is true.
Step-by-step explanation:
This test's sensitivity is low.
Suppose we have 5 drug users and 85% of the test is accurate meaning that 5* 0.85= 4.25 people are drug users which is true.
But if work for the non users than 5% people being drug users means 95 people are non drug users out of the hundred.
And 85 % accuracy would give 95* 0.85= 80.75 which is very high.
And out of the 80.75 * 15%= 12.11 only 12 are positive .
The results give us 5 out of 17 true possibilities
or 5/17 *100= 29.411 % of the result is true.