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.
Number of dogs in the shelter are 12
<u>Step-by-step explanation:</u>
Step 1:
Given that total animals = 108 and number of ferrets = 1/3 of 108. Find number of ferrets in the shelter.
Number of ferrets = 1/3 of 108 = 1/3 × 108 = 36
Step 2:
Given that of the remaining animals, number of cats = 5/6. Find the remaining animals and the number of cats.
Remaining number of animals = 108 - 36 = 72
Number of cats = 5/6 of 72 = 5/6 × 72 = 60
Step 3:
Find number of dogs in the shelter.
Number of dogs = 108 - (36 + 60) = 108 - 96 = 12
Answer:
1 and 2
Step-by-step explanation:
I hope this helps you out!
Volume = (1/3) * base area * height
= 1/3 * 24 * 18
= 144 ft^3
True.
two angles would be complementary if the sum of their angle measures is 90 degrees.
60 degrees and 30 degrees make a complementary angle while 90 and 90 degrees make a supplementary angle.
