Answer: 1.4 seconds
<u>Step-by-step explanation:</u>
The equation is: h(t) = at² + v₀t + h₀ where
- a is the acceleration (in this case it is gravity)
- v₀ is the initial velocity
- h₀ is the initial height
Given:
- a = -9.81 (if it wasn't given in your textbook, you can look it up)
- v₀ = 12
- h₀ = 3
Since we are trying to find out when it lands on the ground, h(t) = 0
EQUATION: 0 = 9.81t² + 12t + 3
Use the quadratic equation to find the x-intercepts
a=-9.81, b=12, c=3

Note: Negative time (-0.2) is not valid
Answer:
a) x changes by 6.5 units
b) y changes by 13 units
Step-by-step explanation:
a. Over this interval, how much does x change by?
Initially, we have that x = 2.
In the end, we have that x = 8.5.
So x changes by 8.5-2 = 6.5 units
b. Over this interval, how much does y change by?
Initially, when x = 2, we have that y = 2x + 11 = 2*2 + 11 = 15
In the end, when x = 8.5, we have that y = 2*8.5 + 11 = 28
So y changes by 28 - 15 = 13 units
Answer:
the third one
Step-by-step explanation:
Answer:
70,000
2.5 million
12 million
20.8 million
29.3 million
53.5 million
Step-by-step explanation:
The pants are $38.06 and the television is $1,147.50.
The sales tax on the pair of pants is calculated by multiplying $35 x .0875 = $3.06
The total cost is $35 + 3.06 = $38.06.
The sales price of the television is calculated by multiplying $1,250 x .85, (100 - .15 discount = .85) = $1,062.50 is the sales price
The sales tax is calculated by multiplying $1,062.50 x .08 = $85
The total price is $85 + $1,062.50 = $1,147.50