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.
1.

The ordered pairs (-2,3) and (5,1) make the inequality true.
2.

The simplified form of the expression is 3y-30.
Answer:
A form of blocking by three variables.
Step-by-step explanation:
Graeco-Latin square design is a special type of comparative design.
Graeco-Latin square design uses 3 blocking variables unlike the 2 blocking variable as used by the standard Latin square design.
In this square design of experiment, the experimental units are grouped into three different ways.
3x+40=100
subtract 40 from both sides
3x= 60
divide by 3
x=20
each Sweater cost 20