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a) The predicted heating cost for a month with temperature of 25 ºF is given as follows: $65.70.
b) The predicted heating cost for a month with temperature of 0 ºF is given as follows: $96.20
c) For an increase of one degree Fahrenheit, the predicted decrease in the cost is of $1.22.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The slope and the intercept for the function in this problem are given as follows:
Slope of -1.22, meaning that for an increase of one degree Fahrenheit, the predicted decrease in the cost is of $1.22.Intercept of 96.2, meaning that the predicted heating cost for a month with temperature of 0 ºF is of $96.20.Hence, the predicted cost for a month with temperature of 25ºF is given as follows:
y = -1.22(25) + 96.20 = $65.70.
More can be learned about linear functions at https://brainly.com/question/24808124
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Related Questions
Please Help me i really need to pass this!
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Answer: I must say it's (0,3)
Step-by-step explanation: The two lines meet at (0,3) so it's (0,3).
Hope it helps! :D
Please help i'm so confused
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Answer:
2/3
Step-by-step explanation:
because 1 1/2 x 2/3 = 2 1/4
Answer:
1 1/2 = 3/2
2 1/4 = 9/4
3/2 divided by 9/4 = 3/2 multiplied by 4/9 = 2/3
EXPLANATION : when we have 2 fractions and we have to divide them , we have to reverse the fraction that we are dividing by and multiply it. sometimes we can simplify the fractions , sometimes we can't. for example , with 3/2 multiplied by 4/9 we simplified 3 and 9 and the 2 and the 4 which left us with 1/1 ( 1 ) multiplied by 2/3 , which gave us the answer 2/3 .
Hope I helped!
Brody calculated the area of a square to be 16/36
square foot.
Which shows the side length of the square?
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Answer:
Step-by-step explanation:
Area of a square = length²
If the area of a square is given, in order to determine the length, find the square root of the area.
√16 / 36 = 4/6 foot
PLS HELP ASAP WILL MARK BRAINLIEST
Triangle ABC ~ triangle DEF. Use the image to answer the question.
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Answer:
3.3/11 = DF/7.6
DF = (3.3 × 7.6)/11 = 2.28
A new physical therapy is being tested in an experimental setting to see if the new methods reduce the recovery time for patients who recently underwent surgery for a torn ACL, a ligament in your knee. To do this, the researchers in the study first performed intake on participants by observing their Body Mass Index (BMI) and had them take a survey to describe their diet and their exercise habits.
Then, the participants were split into three groups: the first group received no physical therapy, the second group received traditional physical therapy, and the third group received the new experimental physical therapy.
The group which receives no physical therapy would best be described as which of the following?
Explanatory Variable
Response Group
Control Group
Experimental Unit
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Answer: The group which receives no physical therapy would best be described as the Control Group.
In an experimental study, the control group is a group of participants who do not receive the treatment being tested. They are used as a basis for comparison to evaluate the effectiveness of the treatment. In this case, the researchers are testing whether the new physical therapy reduces the recovery time for patients who underwent surgery for a torn ACL. The control group allows the researchers to compare the recovery time of patients who received no physical therapy to those who received either traditional or experimental physical therapy.
Step-by-step explanation:
Please help on this question :)
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Answer:
15 cm × 9.5 cm = 142.5 square cm
Answer:
The area of the given figure is 142.5 sq. cm.
Step-by-step explanation:
The area of a parallelogram is given by the base multiplied by the height. The base in the given figure is 15 cm whereas the height is 9.5 cm.
15 × 9.5 equals 142.5
Hence, the area is 142.5 sq. cm.
In the US, 42% of people have type A blood, 10% have type B, 4% have type AB, and 44% have type O. People with type Band type AB blood can receive type B blood. What percentage of people can receive transfusions of type B blood?
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Answer: 14%
Step-by-step explanation:
10+4=14
So, the percentage of people who can receive transfusions of type B blood is the sum of the percentage of people with type B and AB blood, which is:
10% + 4% = 14%
Therefore, 14% of people can receive transfusions of type B blood.
Jaden made a rectangular sign that is 1.4 meters long and 1.2 meters wide to post on the wall of his store. How many square meters of wall does the sign cover? The answer is 1.68, but to solve the problem, you need to find 1.4 x 1.2(which it is 1.68). Estimate the area of wall that the sign will cover. Explain your thinking please.
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First, we can round the dimensions of the sign to the nearest whole number to make the multiplication easier. Rounding 1.4 to 1 and 1.2 to 1, we can estimate that the sign covers approximately 1 square meter of wall.
This estimation assumes that the sign is placed directly on the wall with no gaps or overlaps. In reality, the actual area of wall covered by the sign may be slightly larger or smaller depending on the installation method and any spacing between the sign and the wall.
It's important to note that while estimation can be useful for getting a rough idea of the answer, it's not always accurate and should not be relied upon for precise calculations. In this case, using the actual dimensions of the sign to find the area of the wall covered (1.4 x 1.2 = 1.68 square meters) gives a more accurate result.
Five balls, A, B, C, D, and E, weigh 30g, 50g, 50g, 50g, and 80g each. Which ball weighs 30g?
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Answer:
A weighs 30 because it is always on the higher side
Can someone help me and answer this
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The new equation would be m=60(1)
Then you just solve for m to find how many minutes and the answer is 60.
Bo practices 60 minutes per day.
Data was collected on the amount of time that a random sample of 8 students spent studying for a test and the grades they earned on the test. A scatter plot and line of fit were created for the data.
Determine the equation of the line of fit.
y = 5x + 60
y = 5x + 70
y = 10x + 60
y = 10x + 70
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Let's look at the graph and pick two points, (2, 70) and (4, 80) and use slope formula, y2 - y1 / x2 - x1
80 - 70 / 4 - 2
10 / 2
5
The slope of this line is 5.
To find the y-intercept, we look where the line crosses through the y-axis or the vertical line.
The y-intercept is (0, 60) or 60
If we plug these numbers into slope-intercept form, we get y = 5x + 60
Your answer is y = 5x + 60
graph f(x)=|x+1|+3 then find the domain and range
mainly looking at how id find the coordinates!
Answers
Domain is all real numbers. Range is
Step-by-step explanation:
The function is a transformation of the parent function by moving the function up by 3 units.
So, the graph of the function is shown below.
From the graph, it is clear that the values has no limitation and hence can take any real values. Domain is the set of all possible values.
So, domain is the set of all real numbers.
Range is the set of all possible values for for the given domain.
From the graph, the minimum value of is at the point (. So, the minimum value of y is 3. The value then goes on increasing towards infinity.
Therefore, range is a real number greater than or equal to 3.
So, range is or