Answer:
see the explanation
Step-by-step explanation:
we have the quadratic equation
This is a vertical parabola open downward
The vertex is a maximum
Find the x-intercepts of the quadratic equation
The x-intercepts are the values of x when the value of y is equal to zero
so
For y=0
Solve the quadratic equation
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
therefore
This parabola has two x-intercepts representing the times when the dolphin's height above water is zero feet
4 1/3, 4 1/2, 4 5/6, 5 1/6, 5 2/3, 5 6/6
Answer:
172 ft 2
Step-by-step explanation:
SA=2lw+2lh+2hw, for
A=2(lw + lh + hw)=2·(7 · 2+ 8 · 2 + 8 · 7)= 172 ft 2.
Hope this helps,
Best of Luck!
Answer:
A=152
K= -Ln(0.5)/14
Step-by-step explanation:
You can obtain two equations with the given information:
T(14 minutes) = 114◦C
T(28 minutes)=152◦C
Therefore, you have to replace t=14, T=114 and t=28, T=152 in the given equation:
Applying the following property of exponentials numbers in (II):
Therefore 
can be written as 
Replacing (I) in the previous equation:
Solving for k:
Subtracting 190 both sides, dividing by -76:
Applying the base e logarithm both sides:
Ln(0.5)= -14k
Dividing by -14:
k= -Ln(0.5)/14
Replacing k in (I) and solving for A:
Dividing by 0.5
A=152
