The required value of the constant of proportion is 5.
What is the constant of proportion?
A constant of proportion is illustrated as the ratio which relates two given quantities with each other in the relationship of proportion. Constant of proportion is also called constant of variation, rate of change, and constant ratio.
Solving for the value of constant of variation
When a quantity varies directly with others, then we have a relation, y = kx, where k is the constant of the proportion —-- 1
Given the relation is y = 5x —-- 2
On comparing both the equation 1 and 2, we have,
k = 5
Hence, the required value of constant of variation is 5.
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Two angles form a linear pair. The measure of one angle is 1/3 the measure of the other angle
Answer:
A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so alinear pair of angles must add up to 180 degrees
So, x + y = 180
x = 1/3(y)
1/3(y) + y = 180
4/3(y) = 180
y = 135
State whether each sentence is true or false. If false, replace the underlined word or phrase to make a true sentence.
An equiangular triangle is also an example of an acute triangle.
An equiangular triangle is also an example of an acute triangle is a True statement.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.
An equiangular triangle is a triangle whose all angles are the same and since all angles are the same so by geometrical constraint all sides must be the same so it will also be an equilateral triangle.
In an equilateral triangle, all interior angles are 60°, and since an acute angle triangle is a triangle in which all angles must be less than 90°.
So an equiangular triangle will be an acute triangle.
Hence "An equiangular triangle is also an example of an acute triangle is a True statement".
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600 is blank times much as 6
Answer: 100 times
Explanation: 6 times 100 would be 600 so 600 would be 100 times bigger than 6.
Im sorry i keep pestering but more math help,
Answer: <LMO and <LMJ
Step-by-step explanation:
Supplementary angles add up to a straight line, a 180 degree angle is called a straight angle. Supplementary angles add up to 180 degrees.
Answer: <LMO and <LMJ since they add up to the line OMJ
PLS ANSWER FAST ONLY 6 MIN
Write a 3 sentence paragraph to a friend explaining everything you know about an x-intercept. Give specific details and use correct vocabulary. (Examples: How do you write an x intercept? How do you find an x-intercept? How is it different from a y-intercept?)
In a shipment of 53 vials, only 13 do not have hairline cracks. if you randomly select 2 vials from the shipment, what is the probability that none of the 2 vials have hairline cracks?
Calculating the likelihood of experiments happening is one of the branches of mathematics named as probability. The probability that none of the 2 vials have hairline cracks is 0.0565.
What is meant by probability?The study of probabilities, which exists defined by the ratio of favorable occurrences to probable cases, exists comprehended as probability.
The probability that there won't be any hairline cracks = 13/53
If you choose two vials at random from the delivery
Probability (avoiding hairline cracks) = 13 - 1/53 - 1
Probability (avoiding hairline cracks) = 12/52
To find the chance that neither of the two vials has a hairline crack is
(13/53) × (12/52) = 0.2452 × 0.2307
= 0.0565
The probability that none of the 2 vials have hairline cracks is 0.0565
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Dylan has a points card for a movie theater.
• He receives 30 rewards points just for signing e
• He earns 7.5 points for each visit to the movie theater.
He needs go points for a free movie ticket.
Which tape diagram could be used to represent the context if z represents the
number of visits Dylan must make to earn a free movie ticket?
75
75
7:59
75
RAS
35
BAS
76
76
76
In tape diagram, The number of visits Juan must make to earn a free movie ticket
20 + 7.5V = 125
What is a tape diagram in math?
Students can use a tape diagram as a pictorial model to describe a mathematical relationship or to better grasp a mathematical idea. Although they are frequently employed with word problems, tape diagrams are helpful for addressing many other kinds of arithmetic problems.How a tape diagram appears?
A tape diagram is a rectangular illustration that resembles a piece of tape and has sections to help with computations. It is a frequent graphic tool for resolving mathematical word problems with ratios as their basis. In tape diagrams, rectangles are used to visually show the parts of a ratio.represents the number of visits Juan must make to earn a free movie ticket
20 + 7.5V = 125
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Help on solving this quadratic equation.
The discriminant of the quadratic equation is q · (q + 8) < 0. The solution set of this inequality is (0, - 8).
How to determine the family of constants associated to non-real roots of a quadratic equation
The nature of the roots of quadratic equations of the form a · x² + b · x + c = 0 can be inferred by the understading of its discriminant under the following condition:
b² - 4 · a · c < 0
Where a, b, c are the coefficients of the polynomial.
If we know that a = 2 · q, b = q and c = - 1, then the equation of the discriminant is:
q² - 4 · (2 · q) · (- 1) < 0
q² + 8 · q < 0
And by algebraic handling, we find the set of possible values of q:
q · (q + 8) < 0
The solution set of this inequality is (0, - 8).
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Add or subtract. Simplify where possible. 7/2 c - 2 / c²
The simplest version is one that utilizes fundamental algebraic and mathematical ideas, such as exponents. The simplified equation of (7/2c) - (2/c²) is (7c - 4)/(2c²).
How the given expression is simplified?Let the expression be (7/2c) - (2/c²)
Taking LCM of the denominator
⇒ (7/2c²) - (4/2c²)
simplifying the above equation, we get
⇒ (7c - 4)/(2c²)
What is simplification?Simplifying a mathematical expression means putting it in the most basic form. Typically, the simplest version is one that utilizes fundamental algebraic and mathematical ideas, such as exponents. The phrase is intended to be made simpler by eliminating any repetition or duplication.
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Simplify by combining like terms. 0.5 x-x
By combining the like terms, the simplified form of the expression 0.5x-x is -0.5x
Given,
The algebraic expression = 0.5x-x
Combine the like terms
0.5x-x=(0.5-1)x
= -0.5x
Simplified form is -0.5x
Hence, By combining the like terms, the simplified form of the expression 0.5x-x is -0.5x
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I need this answered please
Answer: (8w) - 6 = 7
Step-by-step explanation:
To write an equation, we will look at the phrase given.
Six less than ➜ - 6
the product of ➜ multiplication
is equal to 7 ➜ = 7
Six less than the product of 8 and a number is equal to 7.
(8w) - 6 = 7
name 4 coplanar points
Answer:
Point H, Point D, Point G, Point F
HELP PLEASE THIS IS URGENT
WHAT IS THE SLOPE FOR THE LINE?
hi
let take two points :
( 0; -1) and (4 ; 2)
here is a = 0 ; f(a) = -1
b = 4 ; f(b) = 2
Slope is : f(a) -f(b) / a-b
let's apply : -1 - 2 / 0-4 = -3/-4 = 3/4
Slope is 3/4
if you want to check result, you can calculate the coordonate of an other point and see if it match.
here I read that there is a point on the line for -4 ; -4
here I can read that Y axis value for X = 0 is -1
as a line is defined by : mx+p
with m = slope and p value for x = 0
so : p = - 1
with m = 3/4 ; x = -4 and p = -1
I can test my line equation and see if it match the result :
3/4 ( -4) - 1 = -12/4 - 1 = -3 -1 = -4
Result match what I see on the graph, so previous result is correct.
: Slope is 3/4
ps : if line grows, the slope can only be positive. if line decrease, slope is negative, if line is constant, then slope is still and equal 0
Marcel made an error when he used the distributive property to write an equivalent expression.
Which sentence describes the error?) A) Both terms aren’t multiplied by 8x, so 8x can’t go in front of the parentheses.
b) 32x does not equal 8x⋅4.
c) 8x(2) does not equal 16x.
d) 32x and 16 have no factors in common.
The sentence describes the error is that A) Both terms aren’t multiplied by 8x, so 8x can’t go in front of the parentheses.
How to illustrate the information?It should be noted that the expression given is illustrated as 32x and 16.
In this case, it should be noted that the common factor between the expression is 8.
Therefore, the sentence describes the error is that both terms aren’t multiplied by 8x, so 8x can’t go in front of the parentheses.
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Answer: Therefore, the sentence describes the error in that both terms aren’t multiplied by 8x, so 8x can’t go in front of the parentheses.
Step-by-step explanation:
Two men are pushing a broken down car, mass 1800 kg, along a horizontal road with a combined horizontal force of 1000n. at one instant the car accelerates at 0.25m/s^". what is the value of frictional force acting on car at instant
When 2 men pushes car with mass 1800 kg and their combined horizontal forces are 1000 N, then frictional force acting on the car is 550 N.
The situation can be depicted in the attached picture. F1 and F2 are the horizontal forces of both men, while Fr is the frictional force. Remember that a frictional force is always the opposite of the direction of velocity.
Apply the 2nd Newton law of motion:
∑F = m.a
Where:
∑F = resultant of forces
m = mass of object
a = acceleration
In this situation, ∑F = F1 + F2 - Fr
The given parameters:
m = 1800 kg
a = 0.25 m/s²
F1 + F2 = 1000 N
Substitute these parameters into the 2nd Newton law:
F1 + F2 - Fr = m.a
1000 - Fr = 1800 . (0.25)
1000 - Fr = 450
Fr = 1000 - 450 = 550 N
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The midpoint of AB is M (2, -2). If the coordinates of A are (8, 1), what are the coordinates of B?
The co-ordinates of point B is (4, -5).
Elaborate about the mid point formula.Let the endpoints of a line segment be [tex]x_{1}[/tex], [tex]y_{1}[/tex], and [tex]x_{2}[/tex], [tex]y_{2}[/tex]. The midpoint is equal to half of the sum of the two points' x-coordinates and half of the sum of the two points' y-coordinates.
Point at A ([tex]x_{1}[/tex], [tex]y_{1}[/tex]) = (8,1)
Point at B ([tex]x_{2}[/tex], [tex]y_{2}[/tex]) = (x,y)
The mid point AB is M (2,-2)
Using the mid point formula:
( [tex]\frac{x_{1} +x_{2} }{2}[/tex], [tex]\frac{y_{1} +y_{2} }{2}[/tex] ) = ( x,y )
[tex]\frac{8 +x_{2} }{2}[/tex] = 2
8 + [tex]x_{2}[/tex] = 4
[tex]x_{2}[/tex] = - 4
And
[tex]\frac{1 + y_{2} }{2}[/tex] = -2
1 + [tex]y_{2}[/tex] = -4
[tex]y_{2}[/tex] = - 5
So, the co-ordinate of point B is (4, -5).
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All the data collected in a particular study are referred to as the? inference data set variable population
A variable is any property, number, or quantity that can be measured or counted. Variables can also be referenced as data items.
Inference: Inference uses selected samples from a population to estimate the properties of unknown people.
A record (or record) is a collection of data. For tabular data, a record corresponds to one or more database tables, each table column represents a specific variable, and each row corresponds to a particular record in that data set.
Therefore:
All the data collected in particular is referred to as Data Set.
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Edgar and Paul are playing video games. Edgar's score is 160 and he scores 5 points per second. Raul's score is 100 and he
scores 8 points per second. How long will it be before Raul takes the lead?
Answer:
21 seconds
Step-by-step explanation:
First let's find out how long it would take for them to have the same score.
160 + 5s = 100 + 8s
160 = 100 + 3s
60 = 3s
20 = s
Since it takes 20 seconds to get the same score and Raul get's more points every second, it would take 21 seconds for Raul to take the lead.
a. Measures less than m ∠ 1 .
A triangle's exterior angle is always greater than its two remote interior angles. The exterior angle ∠1 is greater than ∠3, ∠5, ∠7, and ∠8.
What is meant by Exterior Angle Inequality Theorem?
According to the exterior angle inequality theorem, the measure of any exterior angle of a triangle is greater than the measure of either of the opposite interior angles. The adjacent interior angle and the exterior angle are supplementary. A triangle's exterior angles add up to 360º.
A triangle's exterior angle is always greater than its two remote interior angles.
Since, angle 1 is an exterior angle of Δ ABE,
m∠1 > m∠3 and m∠4
Since, angle 1 is an exterior angle of Δ ABD,
m∠1 > m∠5
Since, angle 1 is an exterior angle of Δ ABC,
m∠1 > m∠7 and m∠8
Therefore, ∠1 is greater than ∠3, ∠5, ∠7, and ∠8.
The complete question is:
Use the Exterior Angle Inequality Theorem to list all of the angles that satisfy the stated condition.
a. Measures less than m ∠ 1 .
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what’s in between 12.8 and 12.875
Write an equation for each transformation of y=x .
Vertical compression by a factor of 1/2.
Vertically Stretching and Compressing
It multiplies a function by a positive constant that yields a position whose graph is vertically stretched or compressed relative to the original function's graph. If the constant is greater than 1, it will stretch vertically. If the constant is between 0 and 1, vertical compression is done and you will get vertical compression.
Vertical compression occurs when you multiply the function by a rational scaling factor. The base of the function graph remains the same even when the graph is compressed vertically. Only initial values are affected.
Solution
Y=x
Multiplying the right side by ½
Y= (1/2) *X
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Andrew ran 5 miles less than two times the number of miles Bernadette ran. Andrew ran a total of 13 miles. Write an equation to determine how many miles Bernadette ran.
13 = 2x − 5
x − 5 = 2(13)
x/13 = 2(5)
13 + 2x = 5
The equation which represents the situation is 13 = 2x − 5 while Bernadette ran 9 miles so option (A) will be correct.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
Given that,
Andrew ran 5 miles less than two times the number of miles Bernadette ran.
If Bernadette ran x miles then,
13 = 2x - 5 is the correct representation.
Now,
2x - 5 = 13
2x = 18
x = 9 miles.
Hence " The number of miles that Bernadette ran is 9 miles while the equation of constraint is 13 = 2x − 5".
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Make a scatter plot of each set of points and describe the correlation. Make a scatter plot for the following set of points. Describe the correlation and sketch a trend line.
(2,58),(6,105),(8,88),(8,118),(12,117), , (16,137),(20,157),(20,169)
A scatter plot is a series of points plotted on horizontal and vertical axes. If there is no correlation between variables, the points appear randomly scattered on the coordinate plane. The points will be clustered around a straight line if the correlation is high. A scatter chart is a data visualization tool that helps show trends.
The scatter plot shows not only the magnitude of the correlation but also the direction of the correlation.
As the vertical (or Y-axis) variable increases, the correlation is positive as the horizontal (or X-axis) variable increases.
The correlation is negative if the y-axis variable decreases and the x-axis variable increases, or vice versa.
The correlation is zero if none of the above criteria can be established.
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Edgar grew 12 plants with 2 seed packets. How many seed packets does Edgar need to have a total of 36 plants in his backyard? Solve using unit rates?
Dolphins can hear sounds underwater that are 24 kilometers away.
How many meters away can dolphins hear sounds underwater?
O 0.024 m
2.4 m
O 0.24 m
O 0.0024 m
The number of meters away that dolphins cab hear sounds underwater will be 0.0024 m
How to calculate the value?From the information, Dolphins can hear sounds underwater that are 24 kilometers away.
The number of meters away that dolphins can hear sounds underwater will be:
= 24 / 1000
= 0.0024 m
Therefore, the correct option is D.
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Apply the order of operations to simplify each
expression
4.24-8×2÷4=
0
12
16
4
Answer:
4.24-(8*2)/4)=
4.24- 4= 0.24
If a unit price label has a unit price of 13.5 cents per ounce, how much is the total price for a 24 ounce package? a. $0.32 b. $0.56 c. $1.78 d. $3.24 please select the best answer from the choices provided a b c d
The total price for a 24 ounce package, with a unit price of 13.5 cents per ounce, is $3.24.
Unit price is defined as the price or the cost per unit of the item. The importance of the unit price is that it allows the buyer to understand how the total price has been calculated. By multiplying the unit price by the total weight of the item will give the total price of that item.
total price = unit price x total weight
If the total weight of the package is 24 ounces and its unit price is 13.5 cents per ounce, multiplying will give the total price.
total price = unit price x total weight
total price = 13.5 cents per ounce(24 ounces)
total price = 324 cents
total price = $3.24
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A bookstore has 45 copies of a bestseller available on Saturday morning. Twenty-one customers purchase the book that day. On Monday, a shipment of 25 books arrives and 14 copies are sold. Which statements are correct?
A The integer −21 represents the sale of 21 books.The integer −21 represents the sale of 21 books.
B After Monday's sales, 26 copies are available.After Monday's sales, 26 copies are available.
C The integer 25 represents the new shipment.The integer 25 represents the new shipment.
D After Monday's sales, 35 copies are available.After Monday's sales, 35 copies are available.
E The integer 14 represents the sale of 14 books.
(P.S it can have multiple answers)
The correct statements are:
The integer −21 represents the sale of 21 books.The integer 25 represents the new shipmentAfter Monday's sales, 35 copies are available.IntegersBooks available on Saturday morning = 45 copiesBooks purchased on Saturday = 21 copiesShipment of books on Monday = 25 copiesBooks sold on Monday = 14 copiesCheck all that applies:
A The integer −21 represents the sale of 21 books.
True
B After Monday's sales, 26 copies are available.
False
Saturday = 45 - 21
= 24 books available
Monday = 25 - 14
= 11 books available
Total books available = 24 + 11
= 35 copies available
C The integer 25 represents the new shipment.
True
D After Monday's sales, 35 copies are available.
True
E The integer 14 represents the sale of 14 books.
False
Therefore, option A, C and D are the correct statements.
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Suppose that R and S are points on the number line.
If RS=7 and R lies at -3, where could S be located?
If there is more than one location, separate them with commas
The location point of S if RS is 7 will be 4
Vector sum and locationWhen two vectors are added using the vector addition postulate, it is known as the vector sum.
Suppose that R and S are points on the number line. If RS=7 and R lies at -3, then;
RS = S - R
Given the following
RS = 7
R = -3
Substitute
7 = S - (-3)
7 = S + 3
S = 7 - 3
S = 4
Hence the location point of S if RS is 7 will be 4
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Find the coordinates of ΔA'' B'' C'' after a reflection in the x -axis and a rotation of 180° about the origin if ΔABC has vertices A(-3,1),B(-2,3), and C(-1,0).
A(0,-3), B(3,-2), C(1, -1) (B) is the coordinates of ΔA'' B'' C'' after a reflection in the x -axis and a rotation of 180.
What does the term "coordinates" mean?
Coordinates are numerical lengths or angles that uniquely identify locations on two-dimensional (2D) surfaces or in three-dimensional (3D) space ( 3D ). Mathematicses, scientists, and engineers frequently employ a variety of coordinate systems.A 180 degree clockwise rotation will change the coordinates as follows (x,y) --> (-x,-y)
A(-3, 0), B(-2, 3), C(-1, 0) -->
A(3, 0), B(2, -3), C(1, -1)
Reflection across the line y=-x will change the coordinates as follows (x,y) --> (-y,-x)
A(3, 0), B(2, -3), C(1, -1) -->
A(0,-3), B(3,-2), C(1, -1) (B)
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