Modelling the proportional relationship, it is found that the coefficient of proportionality is k = 5.
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There is a direct relationship between the area A(x) of a rectangle and its width x. Thus, the following equation can be written:
In which k is the constant of proportionality.
In the table, we have for example, point (0.9, 4.5), which means that when , and we use it to find k.
Thus, the coefficient of proportionality is k = 5.
A similar problem is given at brainly.com/question/13112448
Answer:
The call lasted for 47 minutes.
Step-by-step explanation:
It is given that:
Value of prepaid card = $25
Cost per minute of long distance call = 24 cents = $0.24
Remaining credit = $13.72
Let,
x be the number of minutes
y be the remaining amount
y = 25 - 0.24x
13.72 = 25 - 0.24x
0.24x = 25 - 13.72
0.24x = 11.28
Dividing both sides by 0.24
Therefore,
The call lasted for 47 minutes.
It can be deduced that the population proportion formulated shows that the proportion is 3/5.
<h3>How to calculate the population proportion</h3>
Your information is incomplete as the table isn't given. Therefore, an overview will be given. It should be noted that a population proportion simply means a fraction of the population that has a particular characteristic.
In this case, let's assume that the population is 2000 and the most preferred menu item is chosen by 1200 people. Therefore, the <em>population</em> proportion of the most preferred menu item will be:
= 1200/2000
= 3/5.
Learn more about proportion on:
brainly.com/question/16236451
Hello there.
First, assume the numbers such that they satisties both affirmations:
- The sum of the squares of two numbers is .
- The product of the two numbers is .
With these informations, we can set the following equations:
Multiply both sides of the second equation by a factor of :
Make
We can rewrite the expression on the left hand side using the binomial expansion in reverse: , such that:
The square of a number is equal to if and only if such number is equal to , thus:
Substituting that information from in , we get:
Calculate the square root on both sides of the equation:
Once again with the information in , we have that:
The set of solutions of that satisfies both affirmations is:
This is the set we were looking for.
The answer is -1953062. Hope I was able to help