Define the term PROPORTIONAL RELATIONSHIP.
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Answer:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality". Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.
Related Questions
What property is -23 x 1 = -23 (I need an answer like distributive property, zero product, additive inverse etc.)
A doctor estimates that a particular patient is losing bone density at a rate of 3% annually. The patient currently has a bone density of 1,500 kg/mg3. The doctor writers an exponential function to represent the situation. Which values should the doctor use of a and b in a function written in the form f(x)= abx, where f(x) represents the bone density after x years?
If the midpoint between (x, 3) and (9, 9) is (7, 6), find the value of x.
9.85 less than the product of 37 and t
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Answer: 7.142857 or 7 1/7
Step-by-step explanation:
Answer:
7.142857 or 7 1/7 is the answer to your problem. Hello mel ;)
B. "To bring the world into the jet age."
C. "To make better cars."
D. "To prepare for any eventuality."
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Answer:
The correct answer is option B: "To bring the world to the jet age."
Step-by-step explanation:
Hello! Let's solve this!
A mission statement tells us what the general objectives of the organization are. To be able to make a mission statement you must take into account:
about us?
What are we looking for?
What do we do it for?
The correct answer is option B: "To bring the world to the jet age."
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Answer:
9,540,000 square miles
= 17,210,000
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Answer:
275 bicycles
Step-by-step explanation:
We are given the average cost per bicycle as;
C(x) = 0.2x² - 1.1x + 10.592
We will solve this by finding the derivative of the C(x) function which will give us the instantaneous slope. Thereafter, we will find the extremas which will occur when the instantaneous slope is equal to 0.
Thus, derivative of C(x) is;
C'(x) = 0.4x - 1.1
Equating to zero, we can find the extremas.
Thus;
0.4x - 1.1 = 0
x = 1.1/0.4
x = 2.75
To check if this is minimum of maximum, we will find the second derivative of C(x)
Thus;
C''(x) = 0.4
Thus is a positive value, and so it means the critical point is a minimum.
Thus, X = 2.75
We were told x is in hundreds of bicycles. Thus, X = 2.75 × 100 = 275 bikes
To Optimization minimize the average cost per bicycle, the shop should build 275 bicycles. This is determined by finding the x-coordinate of the vertex ('minimum point') of the parabolic graph represented by the average cost function .
The function is a quadratic function, and represents the average cost per bicycle. The shape of the graph of a quadratic function is a parabola.
In this case, because the coefficient of the x^2 term is positive, the parabola opens upwards,which means it has a minimum point.
Therefore, the minimum average cost per bicycle occurs at the vertex of the parabola.
To find the x-coordinate of the vertex (which is the number of bicycles), we use the formula , where a is the coefficient of the
term (0.2) and b is the coefficient of the x term (-1.1).
Plugging in these values gives hundreds of bicycles or 275 bicycles.
Therefore, the shop should build 275 bicycles to minimize the average cost per bicycle.
Learn more about Optimization here:
#SPJ3
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discount = 35-28 = 7