The value of the slope indicates that the average cost of a haircut is increased by 2 US dollars each year.
What is the average cost?
We are aware that it is determined by the cost-to-production ratio. The sum of the fixed cost and the variable cost is referred to as the total cost, which is also known as the unit cost. As a result, Average Cost is calculated as Total Cost/Number of Units or (Fixed Cost + Variable Cost)/Number of Units.
Here, we have
In this case, we use the linear function y = 2x + 25, where x is the time after 1985, measured in years, and y is the average cost of a haircut. The slope of the model is m = 2 USD yr.
It means that the average cost of a haircut increased by 2 every year after 1985.
In 1985, y=0, and the cost is 25
In 1986, y=1, and the cost is 25+2 = 27
In 1987, y=2, and the cost is 25+4 = 29
and so on.
Hence, the value of the slope indicates that the average cost of a haircut is increased by 2 US dollars each year.
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The table shows the length, in inches, of fish in a pond.
11 19 9 15
7 13 15 28
Determine if the data contains any outliers. If so, list the outliers.
There is an outlier at 28.
There is an outlier at 7.
There are outliers at 7 and 28.
There are no outliers.
Answer:
Step-by-step explanation:
THE OUTLINER IS 28!
The graph shows a scuba divers ascent over time. Use the graph to find the slope of the line. Complete the description of what the slope means in context.
The slope of the line is 0.05. This indicates that the diver ascends at a rate of 0.05 m/s.
What is slope?The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.
Given that, the graph shows a scuba diver ascent over time.
We see that,
He goes up 2 meters in every 40 seconds,
then, in 20 seconds, he will go 1 meter up
so,
1/20 = 0.05
Hence, the slope of the line is 0.05. This indicates that the diver ascends at a rate of 0.05 m/s.
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Construct the graph of the direct proportion y=kx for each value of k k=3x
the answer is 3x²
Step-by-step explanation:
we know that k = 3x
when we look at the actual equasion we can se that y = kx, meaning we have to multiply x by 3x which would give us 3x²
Answer: the answer is 3x^2 three x to the power of 2
A study was done to investigate the relationship between a new anti-inflammatory medicine and weight gain. The correlating linear
model is shown below, where x represents the number of days on the medicine, and y represents the weight gain, in pounds.
Interpret the slope.
y = 0.71
For the linear function y = 0.7x, option A: An additional day on the medicine is associated with 0.7 pounds of weight gain is the correct answer.
What is a linear function?
A linear function is a function that, when plotted, creates a straight line. Typically, it is a polynomial function with a maximum degree of 1 or 0. Nevertheless, calculus and linear algebra are also used to represent linear functions.
The given linear function is y = 0.7x.
Where x represents the number of days on the medicine.
y represents the weight gain, in pounds.
The slope intercept form is y = mx + b, where m is slope.
So, the slope of y = 0.7x is m = 0.7.
If x = 2 , then y will be -
y = 0.7(2)
y = 1.4
If x = 3 , then y will be -
y = 0.7(3)
y = 2.1
Therefore, it can be seen that when the number of days on the medicine is increased the weight gain also increases with 0.7 pounds.
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Ten balls in five lines Puzzle – Solution The puzzle Place 10 balls in 5 rows in such a way that each row contains exactly 4 balls.
Ten balls in five lines Puzzle – Solution The puzzle Place 10 balls in 5 rows in such a way that each row contains exactly 4 balls below figures are:
A puzzle is a sport, trouble, or toy that examines a person's ingenuity or understanding. In a puzzle, the solver is anticipated to position pieces together (or take them aside) in a logical manner, so that you can arrive at the appropriate or a laugh solution to the puzzle. There are special genres of puzzles, which include crossword puzzles, phrase-search puzzles, variety puzzles, relational puzzles, and good judgment puzzles. the academic take look at puzzles is referred to as enigmatology.
Puzzles are often created to be a form of leisure however they can also get up from critical mathematical or logical problems. In such cases, their solution can be a substantial contribution to mathematical research. Puzzles expand memory competencies, as well as the capability to devise, check ideas and solve troubles. even as completing a puzzle, children want to recollect shapes, colors, positions, and techniques to complete them.
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Skarleth is considering whether to apply for a credit card or debit card at her bank. The credit card will charge 3% interest if she does not pay her balance in full each month. If she spends $2,000 this month and doesn’t pay it back, how much will she owe in interest?
The interest on the spent of $2000 will be $60.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that Skarleth is considering whether to apply for a credit card or debit card at her bank. The credit card will charge 3% interest if she does not pay her balance in full each month. If she spends $2,000.
The amount of interest will be calculated as:-
Amount = 2000 x 3%
Amount = ( 2000 x 3 ) / 100
Amount = $60
Therefore, the interest on the spent of $2000 will be $60.
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1\2 y= 1 in standard form
Answer:
y=2
Step-by-step explanation:
What is the distance of point A (- 5/6 from the origin?
The distance between the point (-5, 6) to the origin is 61 units.
What do we mean by distance?Regardless of direction, an object's distance is defined by its total velocity.
Distance is the amount of space an object has traveled, regardless of where it began or concluded.
Knowing an object's distance from us allows us to determine its true size.
The following formula is widely used to determine the distance between two points: d=((x2 - x1)2 + (y2 - y1)2)
The given point is thus:
(-5, 6)
Assume that (0, 0) serves as the origin and that the given position is at (-5, 6).
d=((-5 - x1)2 + (6 - y1)2)
d=((-5)2 + (6)2)
d=25+36
d=61 units
Therefore, the distance between the point (-5, 6) to the origin is 61 units.
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The temperature outside dropped 23 degrees in 6 hours. The final temperature was -6, what was the starting temperature?
The starting temperature would be 29 degrees.
What are the initial value and final value?
Initial value refers to the starting value or the value of a variable at the beginning of a process or time period. Final value refers to the end value or the value of a variable at the end of a process or time period. In the context of a mathematical function, the initial value would be the value of the function at the beginning of the domain and the final value would be the value of the function at the end of the domain.
If the temperature outside dropped 23 degrees in 6 hours. The final temperature was -6,
The starting temperature would be 29 degrees (-6 + 23).
Hence, the starting temperature would be 29 degrees.
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ignore my dirty computer
help please :))
Answer:
The sentence "Eight more than the quotient of a number and 4 equals 5" can be translated into the following equation:
(b / 4) + 8 = 5
Where b is the unknown number, and 4 is the divisor.
Answer:
b = - 12
Step-by-step explanation:
let the number be b
the quotient ( division ) of b and 4 is [tex]\frac{b}{4}[/tex] , then
[tex]\frac{b}{4}[/tex] + 8 = 5 ← equation
to solve for b
subtract 8 from both sides
[tex]\frac{b}{4}[/tex] = - 3 ( multiply both sides by 4 to clear the fraction )
b = - 12 ← value of b
Select the graph of the solution. Click until the correct graph appears.
| x | + 3 > 7
The inequality can be rewritten into:
x > 4 or x < -4
And the graph can be seen in the image at the end.
How to solve the inequality?We want to solve the inequality below and then graph it, the inequality is:
|x| + 3 > 7
moving the 3 to the right side we get:
|x| > 7 - 3
|x| > 4
Now we can break the absolute value part into two:
x > 4
x < -4
That is the solution:
x > 4 or x < -4
The graph is the one below.
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What is the formula of parabola graph?
The standard form of the equation of a parabola is y = ax² + bx + c, where 'a', 'b' and 'c' are constants.
A parabola is a type of curve in mathematics, and it is defined by an equation of the form y = ax² + bx + c. Here, a, b, and c are constants and x is a variable. The graph of this equation is a U-shaped curve, which is symmetrical about the line x = -b/(2a). The curve has exactly one point of inflection, located at -b/(2a), and the curve opens either up or down depending on the value of a. The vertex of the parabola also occurs at the point -b/(2a). Parabolas are used to describe a wide range of phenomena, including projectile motion and the trajectory of satellites in space. They are also used in optics, engineering, and other sciences.
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What is the value of x?
Answer: number c I think
Step-by-step explanation:
Find the Domain:
And Range:
Domain: Real numbers.
Range: Set of output value.
What is the Range and domain of the function?
The domain of the function is the set of all input values, or the set of x-values, for which the function is defined.
The range of the function is the set of all possible output values, or the set of y-values, that the function can produce.
The domain of the function is all real numbers since there are no restrictions on the input x.
The range of the function is the set of output values, which in this case is {5}.
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What happens to the parent graph y= square root of X when the equation is changed to y=-2 square root of x-8 select all that apply.
Shift down 8 units, vertical stretch, reflect over the x-axis, shift up 8 units
Answer:
All except shift up.
PLEASE HELP WILL GIVE BRAINLIST
The Chess Club president brought donuts to the club meeting each week. As the club grew, more donuts were needed so that each member could have a donut. The table below shows the ratios of boxed donuts to the cost.
Donuts 2 4 B 8
Cost A 31.60 39.50 C
Determine which table has the correct values for A, B, and C.
A Donuts 2 4 5 8
Cost 15.80 31.60 39.50 63.20
B Donuts 2 4 6 8
Cost 7.90 31.60 39.50 63.20
C Donuts 2 4 7 8
Cost 7.09 31.60 39.50 56.72
D Donuts 2 4 6 8
Cost 15.80 31.60 39.50 56.72
The table which has the correct values for A, B, and C is;
A. Donuts 2 4 5 8
Cost 15.80 31.60 39.50 63.20
What is a proportional relationship?In Mathematics, a proportional relationship is a type of relationship that generates equivalent ratios and it can be modeled or represented by the following mathematical expression:
y = kx
Where:
k is the constant of proportionality.y and x represent the variables in a proportional relationship.Next, we would determine the constant of proportionality (k) for the data points on this graph as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = 31.60/4
Constant of proportionality, k = 7.9
When the value x = 2, the value of A can be calculated as follows;
y = kx
A = 7.9 × 2
A = 15.80
When the value y = 39.50, the value of B can be calculated as follows;
x = k/y
B = 39.50/7.9
B = 5.
When the value x = 8, the value of C can be calculated as follows;
y = kx
C = 7.9 × 8
C = 63.20.
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What is the best method for solving a quadratic formula?
The best method for solving a quadratic equation depends on the specific equation and the context in which it is being used. However, the quadratic formula is a universally applicable method and it is one of the most widely used methods for solving quadratic equations.
The quadratic formula is a method for solving a quadratic equation, which is an equation of the form ax^2 + bx + c = 0, where a, b, and c are constants.
The quadratic formula is:
x = (-b ± √(b^2 - 4ac))/(2a)
It allows to find the solutions or roots, x, of a quadratic equation of the form ax^2 + bx + c = 0, where a, b, and c are constants.
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Are these ratios equivalent 40/18 and 27/11
The ratios 40/18 and 27/11 are not equal because 20/9 and 3/1 are different fractions. They stand for various proportional connections between two quantities, in other words.
Why are there ratios not equivalent?We need to see if the ratios of 40/18 and 27/11 fall to the same fraction when the numerator and denominator are both divided by their largest common factor (GCF).
Given that the GCF of 40 and 18 is 2, we can obtain 20/9 by reducing both the numerator and denominator of 40/18 by 2. Since the GCF of 27 and 11 is also 11, we obtain 3/1 when we divide the numerator and denominator of 27/11 by 11.
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pythagorean theorem word problems worksheet with answers
According to the Pythagorean Theorem, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs of a right triangle.
In other words, [tex]a^2 + b^2 = c^2[/tex] for the triangle depicted below.
The right triangle's legs, a and b, are perpendicular sides, and the hypotenuse, c, is the side that faces away from the right angle.
Construction projects and almost anything involving right triangles, such as roofing for homes, are common uses for this application.
Hypotenuse² = Base² + Perpendicular²
The Pythagorean Theorem is used in a variety of computations. For instance, it may be used to determine the height and distance of straight and fallen trees, as well as the steepness of hills and mountains.
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PLS DO NUMBER 5 WILL MARK BRAINLIEST AND ADD 100 MORE POINTS HURRY PLEASE! THANK YOU
Answer: The 2nd table (blue)
Step-by-step explanation:
Do these measurements produce a triangle? Yes or no AND WHY!
a.3 in, 5 in, 7 in
b. 5 cm, 7 cm, 13 cm
c. 14.23 ft, 18.23 ft, 36.23 ft
The measurements in (a) 3 inch, 5 inch, 7 inch produce a triangle. Other two measurements do not produce a triangle.
What is triangle and what their properties are?A triangle is a three-sided polygon that consists of three edges and three vertices.
The properties of the triangle are:
The sum of all the angles of a triangle (of all types) is equal to 180°.The sum of the length of the two sides of a triangle is greater than the length of the third side.Using second properties we find that which of the following measures produce a triangle.
In a) 3 inch, 5 inch, 7 inch, the sum of the length of two smallest sides are
3 + 5 = 8 inch, which is greatest from the third side.
So this measures produce a triangle because the sum of the length of the two sides of a triangle is greater than the length of the third side.
In b) 5cm, 7cm, 13 cm, the sum of the length of two smallest sides are
5 + 7 = 12 cm, which is smallest from the third side
So this measures does not produce a triangle because the sum of the length of the two sides of a triangle is smaller than the length of the third side.
In c) 14.23ft, 18.23ft, 36.23ft, the sum of the length of two smallest sides are
14.23 + 18.23 = 32.46ft, which is smallest from the third side.
So this measures does not produce a triangle because the sum of the length of the two sides of a triangle is smaller than the length of the third side.
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Which of the following best described the line that is passing through the ordered pairs given below? Select all that apply
(-4, 6) & (-4, 1)
The slope of the line is undefined.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (-4, 6) and (-4, 1)
Now,
Since, The equation of line passes through the points (-4, 6) and (-4, 1)
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (1 - 6) / (-4 - (-3))
m = - 5 / 0
m = ∞
Thus, The slope of the line is undefined.
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What is the line xy pass through origin?
A line in the xy-plane passes through the origin and has a slope of 1/7 is 7y = x.
In the given question, we have to find a line in the xy-plane passes through the origin and has a slope of 1/7.
The equation of the line is:
y - y(1) = m(x - x(1))
The given points is (0, 0). So
x(1) = 0 and y(1) = 0
From the given question, m = 1/7
Now putting the value in the equation of line
y - 0 = 1/7(x - 0)
y = 1/7 x
Multiply by 7 on both side, we get
7y = x
Hence, a line in the xy-plane passes through the origin and has a slope of 1/7 is 7y = x.
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The complete question is:
What is a line in the xy-plane passes through the origin and has a slope of 1/7?
The temperature changes from 45.2 degrees at 8:00 pm to 32.7 degrees at 1:00 am.
What rational number represents the average change in temperature per hour?
There is the average decrease in temperature which is -2.5 degrees per hour.
Explain the term average rate of change?The average rate where the one quantity changes in relation to another's change is referred to as the average rate of fluctuation function. A method that determines the amount of variation in one item divided mostly by corresponding amount of variation in another is known as just an average rate of change function.For the given data:
Temperature at 8:00 pm : 45.2 degrees Temperature at 1:00 am : 32.7 degreesSo,
Difference in temperature = 32.7 - 45.2
= -12.5
Total time from 8:00 pm to 1:00 am = 5 hours.
Then,
Average change in temperature per hour = -12.5 / 5 = -2.5 degrees.
Thus, there is the average decrease in temperature which is -2.5 degrees per hour.
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help me please!!!!!!!
Answer: x= 4 and y= 540
You should read the corresponding values inorder to figure out the other value
Elementary and Middle School Mathematics: Teaching Developmentally.
"Elementary and Middle School Mathematics: Teaching Developmentally" is a widely used textbook for teaching math at elementary and middle school levels.
What is developmentally ?
In education, the term "developmentally" refers to the idea that students should be taught in a way that is appropriate for their developmental level. Developmental teaching is a student-centered approach that takes into account the students’ abilities, interests, and needs as they learn.
Elementary and Middle School Mathematics: Teaching Developmentally is a textbook that provides an overview of the principles and practices of teaching mathematics in the elementary and middle school levels. It is designed to help teachers understand the mathematical concepts and skills that students need to learn at each grade level, as well as the best ways to teach those concepts and skills. The book covers a wide range of topics, including number sense and operations, algebra, geometry, measurement, and data analysis. It also provides strategies for differentiating instruction, using technology, and assessing student learning. The book is written by John A. Van de Walle and Karen S. Karp, and it is widely used as a textbook for teacher education programs and professional development workshops.
"Elementary and Middle School Mathematics: Teaching Developmentally" is a widely used textbook for teaching math at elementary and middle school levels.
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Find the value of x.
Round to the nearest tenth.
X =
[?]°
А.
37
X
B
20
23
Law of Cosines: c² = a² + b² - 2ab cos C
The value of x is 28.4°. The solution has been obtained using the law of cosines.
What is law of cosines?
The law of cosines, commonly referred to as the cosine rule or the cosine formula, in trigonometry essentially connects the length of the triangle to the cosines of one of its angles.
Law of Cosines: c² = a² + b² - 2ab cos C
We are given a= 37, b=23 and x= 20
Using the law of cosines,
⇒x² = a² + b² - 2ab cos x
⇒20² = 37² + 23² - 2(37)(23) cos x
⇒20² = 37² + 23² - 2(37)(23) cos x
⇒400 = 1369 + 529 - 1702 cos x
⇒400 = 1898 - 1702 cos x
⇒1702 cos x = 1498
⇒cos x = 1498 /1702
⇒cos x = 0.88
⇒x = [tex]cos^{-1} (0.88)[/tex]
⇒x = 28.4°
Hence, the value of x is 28.4°.
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Find the missing side, round to the nearest tenth.
Answer:
x=40 HZ
..............
conjecture for the relationship between the volume of a sphere with a radius that equals to y and the volume of a sphere with a radius equal to 2y
The relationship between the volume of a sphere with a radius that equals to y and the volume of a sphere with a radius equal to 2y is V₂ = 8V₁.
What is volume?The volume of a thing is the area that it takes up in three dimensions. Simply said, a thing occupies space.
The volume of the sphere,
= 4/3πr³, with the radius r.
So, if the radius of the sphere is y.
Then the volume of the sphere,
V₁ = 4/3πy³.
So, if the radius of the sphere is 2y.
Then the volume of the sphere with the radius 2y,
V₂ = 4/3π(2y)³.
= 8(4/3)π(y)³.
= 8 x the volume of the sphere with the radius y.
= 8V₁
Therefore, the relationship is V₂ = 8V₁.
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What is the intermediate step in the form (x+a)2=b as a result of completing the square for the following equation?
The completing square form of the equation is [tex](x+1)^2=-25[/tex].
What is completing square method?
By altering the equation's form so that the left side is a perfect square trinomial, a quadratic equation can be solved using the "Completing the Square" approach. One approach to locating the roots of the given quadratic equation is to complete the square method.
Here the equation [tex]x^2+2x=-26[/tex]
To completing the square of the equation add 1 on both sides then,
=> [tex]x^2+2x+1=-26+1[/tex]
=> [tex]x^2+2.x.1+1^2=-25[/tex]
=> [tex](x+1)^2=-25[/tex]
Hence the completing square of the equation is [tex](x+1)^2=-25[/tex].
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