Answer:
The quadratic function that model the situation is
h(t) = - 16 t² + 68 t + 12
Step-by-step explanation:
The formula of the distance for free fall of an object is h(t) - h(0) = ut +
at², where
- h(t) is the height of the object in feet after t seconds
- u is the initial velocity of the object
- a is the acceleration of gravity in feet per second²
Jamie throws a ball into the air with an initial upward velocity of 68 feet per second from a height of 12 feet
∵ The initial velocity is 68 feet/second
∴ u = 68
∵ The initial height is 12 feet
∴ h(0) = 12
- The acceleration of gravity is about - 32 feet/sec² (the direction
of motion is upward)
∴ h(t) - 12 = 68 t +
(-32) t²
- Add 12 to both sides
∴ h(t) = 68 t - 16 t² + 12
- Arrange the terms from greatest power of t
∴ h(t) = - 16 t² + 68 t + 12
The quadratic function that model the situation is
h(t) = - 16 t² + 68 t + 12
Answer:
12x - 8y
Step-by-step explanation:
9x - 5y + 3x + 2y - 4y - y
9x + 3x - 5y + 2y - 4y - y
12x - 8y
In step 1, the commutative property of addition is used since x + 5 is just equal to 5 + x
In step 2, the associative property of addition is used since x is grouped to the last term.
In step 3, the distributive property of multiplication is used since 3 is multiplied to the terms inside the parenthesis.
In step 4, multiplication is done.
0.5 or 6 inches
The model=32
Actual size=1
32/1= 16/?
If 32 is 1 foot which equals 12 inches, and 16 is half of 32, then 16 is 0.5 inches or 6 inches
Answer:
Theres no picture?
Step-by-step explanation: