Answer: The ball starts at a height of 12 feet.
Step-by-step explanation:
The height(h) of the ball, measured in feet, after
seconds is modeled by the function
.
As height corresponds to time, we can determine that the ball's initial elevation occurs when:

To ascertain the starting height, substitute
into the equation:

Thus, the ball's initial height is 12 feet.
To determine the inverse of f(x)=2x+5, first express it without using f(x). Set y = 2x + 5, then exchange x and y and solve for y. Subtract 5 from both sides to get x - 5 = 2y, and divide through by 2 to find y = (x-5)/2. Therefore, f-1(x) is (x-5)/2. To find f-1(8), substitute 8 for x, resulting in (8-5)/2 = 3/2.
Let RS be denoted as y.
Given that T is the midpoint of RS, this results in RT = TS = 
And W acting as the midpoint of RT, leads to
thus RW = WT = 
Given that Z is the midpoint of WS.
Meaning WZ = ZS = 
Consequently, TZ = TS - ZS = 
However, TZ is defined as x.
Thus, 
y = 8x = RS.
A) Length of RW = 
B) Length of WZ = 
C) Length of RS = y = 8x
D) Length of ZS = WZ = 3x.
An image is provided for clarification.
I can’t stay awake; I need sleep and have 4 papers to finish for my portfolio. I’m unable to assist, but I wish you the best
.
Answer: A total descent of 8260 feet occurred for all four balloons.
Step-by-step explanation:
Based on the information provided:
Number of hot air balloons = 4
Minutes of descent = 7
Descent rate per minute = 295 feet
Thus, the overall change in altitude for all four balloons can be calculated as:

Thus, a total descent of 8260 feet was experienced by the four balloons.