Answer:
Part A: Options D and E
Part B: Disagree
Step-by-step explanation:
Part A:
From the graph attached,
Option A
The object is launched from the ground.
False.
Since, the object is launched from the 5 feet above the ground.
Option B
The flight is symmetric about the line t = 10
False.
Since, the flight is symmetric about the line t = 12
Option C
The object reaches a maximum height of 12 feet.
False.
At t = 12 seconds maximum height of the object = 19.4 feet
Option D
The object is flying in the air during the interval 0 < t < 25.93
True.
Option E
The object reaches its maximum height after 12 seconds of flight.
True.
After 12 seconds object is at the maximum height 19.4 feet.
Therefore, Options D and E are the correct options.
Part B:
From the table attached,
h(4) = 13
h(20) = 13
At t = 4 and 13 seconds height of the object is same.
h(4) = h(20)
But Timothy said h(4) < h(20)
Therefore, disagree with the statement of Timothy.
The problem can be modeled like this:
x - 6 + 7 = 65
x + 1 = 65
x = 64
The number is 64. Since -6 + 7 = 1, you could have also simplified the question to, "A number is 65 when you add 1. What is the number?"
4.625 as a mixed number would be 4 625/1000 which would simplify to 4 125/200 which would simplify to 4 25/40 which would simplify to 4 5/8
Basically , the answer is 4 5/8
Hope this helps
Answer:
1
Step-by-step explanation:
Use the form for the factoring of the sum of cubes.
To make this easier to write, we'll use the substitutions ...
a = sin(θ), b = cos(θ)
It looks like you may want to simplify ...
(a³ +b³)/(a +b) +ab
= ((a +b)(a² -ab +b²))/(a +b) +ab
The factors of (a+b) cancel. In this case, we know that a² +b² = 1, so this becomes ...
= (1 -ab) +ab
= 1
