200,000,000
two hundred million
He’s mean :,((((((((((((((((((((((((((((
Answer:
Yes it is congruent
Step-by-step explanation:
1) if you reflect DCE it would fit perfectly on top of ABC
2) A and D both have a dash
B and c both have a dash
C is in the middle of them both
showing they are both the same
Step-by-step explanation:
First, we want to find profit given revenue and cost. Because profit = revenue - cost, we can write the profit function, P(x), as R(x) - C(x) and go from there.
P(x) = R(x) - C(x)
P(x) = (-x²+24x) - ( 10x + 30)
P(x) = -x²+24x - 10x-30
P(x) = -x²+14x-30
In a quadratic function such as this, the graph opens downward (meaning that it goes from up to down) if the leading coefficient is negative and vice versa. Here, since -1 is attached to x², we can say that the graph opens downward. The point where the direction of the slope changes (when it goes from up to down), or the peak of the quadratic, is called the vertex.
The x value of the vertex is given by -b/(2a) in a quadratic of form ax²+bx+c. As a=-1 and b=14 here, we can say that -b/(2a) =
-14/(2*-1) = -14/-2
= 7
Therefore, the x value of the vertex, or the number of containers sold that maximizes profit, is 7.
Answer: Surface area = 68π inches²
Step-by-step explanation:
The formula for determining the total surface area of the circular cylindrical metallic rod is expressed as
Total surface area = 2πr² + 2πrh
Where
r represents the radius of the cylindrical rod.
h represents the height of the cylindrical rod.
π is a constant whose value is 3.14
From the information given,
Radius = 2 inches
Height = 15 inches
Therefore,
Surface area = (2 × π × 2²) + 2 × π × 2 × 15) = 8π + 60π
Surface area = 68π inches²