The average of a b c and d is p. If the average of a and c is q, what is the average of b and d in terms of p and q?
1 answer:
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In order to calculate the area of the board that can be seen, we need to calculate the area of the the rectangular board and the circular frame. The difference of both's area is the required answer.
Refer to the attachment for step by step solution. :)
Answer:
2. The airplane will crash into the ground after 5 seconds.
3. The domain of the function is [0,30] and range of the function is .
Step-by-step explanation:
2.
Ariana initial attempt is modeled by the function,
where, h is the height in feet and x is the time in seconds of the paper airplanes path.
If airplane crash into the ground, then ,
Equate each factor equal to 0.
Therefore the airplane will crash into the ground after 5 seconds.
3.
The height of the rocket in meters is modeled by the function shown below, where t is time in seconds.
The value of t must be positive because time can not be negative.
Find the zeros of the function.
The leading coefficient is negative, so the it is a downward parabola. Since the zeros of the function are 0 and 30, therefore the function is negative before 0 and after 30.
The height can not be negative, so the domain of the function is
The vertex of a downward parabola is the maximum point.
Vertex of a parabola,
Put t=15 it in the equation.
The range of the function is
Therefore the domain of the function is [0,30] and range of the function is .