Answer:
a. 144 ft
b. 5 s
Step-by-step explanation:
h = -16t² + 64t + 80
a. This is a parabola, so the maximum height is at the vertex.
t = -64 / (2 × -16)
t = 2
h = -16(2)² + 64(2) + 80
h = 144
The apple reaches a maximum height of 144 ft.
b. 0 = -16t² + 64t + 80
0 = t² − 4t − 5
0 = (t + 1) (t − 5)
t = -1 or 5
t must be positive, so it takes 5 seconds to reach the ground.
Answer:
A. Height is input, Weight is output
Step-by-step explanation:
We are given the statement,
"Weight is a function of height".
As we know,
<em>In a function of the form 
, the input variable is 'x' and the output variable is 'y'.</em>
If we write the given statement in the form , we get,
This means that the input variable is 'Height' and the output variable is 'Weight'.
Hence, option A is correct.
Answer:
728000 mosquitoes
Step-by-step explanation:
In attachment
Please giv brainliest, thanks!
Answer:
Forgot to add graph
Step-by-step explanation:
The area of the base would be found using the area of a triangle formula which is 1/2 x base x height.
The base and height are the two sides perpendicular to each other, which are both 5 inches.
The area of the base = 1/2 x 5 x 5 = 12.5 square inches.
The volume of the triangular prism is the area of the base times the height, which is 4 inches.
Volume of the triangular prism is 12.5 x 4 = 50 cubic inches.
Volume of the triangular prism is 1/3 x area of base x height, which is 7:
Volume of the triangular prism = 1/3 x 12.5 x 7 = 29.17 cubic inches.
Total volume = 29.17 + 50 = 79.17 cubic inches.
