Answer:
the height after 2 seconds will be 128 feet
Step-by-step explanation:
Data provided in the question:
Initial velocity = 96 feet per second
The function of height of falling debris above the ground is given as:
h(t) = 96t - 16t²
A) To find height after time t = 2 seconds
substituting the value of time in the above function, we get
h(t) = 96 × 2 - 16 × 2²
or
h(t) = 192 - 16 × 4
or
h(t) = 192 - 64
or
h(t) = 128 feet
Hence,
the height after 2 seconds will be 128 feet
Answer:
Shown Below
Step-by-step explanation:
The question says:
And it says to verify that both functions are inverses of each other.
To show this, we have to understand one composition of function property. When 2 functions are inverses of each other, the composition of both functions should yield "x". In notation:
(f o g)(x) = f(g(x)) = x
and
(g o f)(x) = g(f(x)) = x
So, we need to show that putting f(x) into g(x) and putting g(x) into f(x) both yields "x". Lets show this:
First:
Verified.
Second:
Verified.
We have shown that both the functions are inverse of each other.
Answer:
80^2 + 150^2
6400 + 22500 = 28,900
Something squared will equal 28,900
170^2 = 28,900
170 is your answer!
Answer:
168,000
Step-by-step explanation:
Volume = 30 × 40 × 50 = 60,000 cm3
Density = 2.8 g cm3
Mass = 2.8 g cm3 × 60,000 cm3 = 168,000 g