Answer:
(24, 224 ) i.e. 24 basketball and 224 footballs
Step-by-step explanation:
<em>Basketball :</em>
uses 4 ounces of foam
20 minutes of labor
profit = $2.50
<em>Football :</em>
uses 3 ounces of foam
30 minutes of labor
profit = $2
Manufacturer has :
768 ounces of foam , 120 labor hours per week,
<u>using the simplex method to determine the optimal production schedule so as to maximize profits </u>
lets assume
x = number of basketball
y = number of footballs
maximize = 2.5 x + 2y from a linear programming problem
attached below is the detailed solution
<h3>
Answer: Max height = 455.6 feet</h3>
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Explanation:
The general equation
y = ax^2 + bx + c
has the vertex (h,k) such that
h = -b/(2a)
In this case, a = -16 and b = 147. This means,
h = -b/(2a)
h = -147/(2*(-16))
h = 4.59375
The x coordinate of the vertex is x = 4.59375
Plug this into the original equation to find the y coordinate of the vertex.
y = -16x^2+147x+118
y = -16(4.59375)^2+147(4.59375)+118
y = 455.640625
The vertex is located at (h,k) = (4.59375, 455.640625)
The max height of the rocket occurs at the vertex point. Therefore, the max height is y = 455.640625 feet which rounds to y = 455.6 feet
Answer:
Natural Numbers (N), (also called positive integers, counting numbers, or natural numbers); They are the numbers {1, 2, 3, 4, 5, …} Whole Numbers (W). This is the set of natural numbers, plus zero, i.e., {0, 1, 2, 3, 4, 5, …}
Answer:
5+3 is Amy, so Amy is 8
Step-by-step explanation:
So, lets say amy is a
and gabriella is g
WE know that g=5, because gabriella is 5 years old
And, Gabriells is younger than Amy, so we need to add to get Amy's age
So, 5 ( Gabriella's age ) + 3=Amy
So, 5+3= Amy
So Amy is 8
Answer:
pi(π) is the constant and x is the variable since pi is a numerical value and x can change according to the equation given.
Step-by-step explanation:
