For this case we have the following equation:
h = -16t2 + 64t + 80
To find the maximum height, we derive the equation:
h = -32t + 64
We match zero:
-32t + 64 = 0
We clear t:
t = 64/32
t = 2
We substitute the value of t in the given equation:
h (2) = -16 * (2) ^ 2 + 64 * (2) + 80
h (2) = 144
Answer:
The maximum height is 144 feet and the time to reach this height is 2 seconds.
Answer:
$0.75 per song
Step-by-step explanation:
Given that the relationship between variable s and c is a proportional relationship, and is represented by the equation, c = 0.75s.
Where,
c = total costs
s = number of songs
The constant of proportionality, k, = 0.75.
Thus, 0.75 represents the cost per sing downloaded.
The answer is:
✔️$0.75 per song
Answer:
The scale factor for the resultant rectangle is
units.
Step-by-step explanation:
Given two rectangles with sides 3 units and 7.5 units.
We have to find the scaling factors so that we can obtain bigger rectangle of 7.5 units from smaller rectangle of 3 units.
Scale factor is defined as the ratio of corresponding side of given figure to the corresponding side of resulting figure.
That is 
Here, 
Hence, the scale factor for the resultant rectangle is units.
Answer:
12.5 in²
Step-by-step explanation:
Given:
Height of tile = 2.5 in
Base of tile = 2*height of tile = 2*2.5 = 5 in
Length of other side of tile = 2.5 in
Required:
Area of the tile
SOLUTION:
Area of the tile = area of parallelogram
All we need to calculate the area of the tile, is the base and the height.
Area of parallelogram = base × height
Area of tile = 5 × 2.5 = 12.5 in²
Answer:
The answer is 1/3x-1
Step-by-step explanation:
Let's simplify step-by-step.
5/6x−7−(1/2x−6)
Distribute the Negative Sign:
=5/6x−7+−1(1/2x−6)
=5/6x+−7+−1(1/2x)+(−1)(−6)
=5/6x+−7+−1/2x+6
Combine Like Terms:
=5/6x+−7+−1/2x+6
=(5/6x+−1/2x)+(−7+6)
=1/3x+−1
Answer:
=1/3x−1
