Slope of line=0
Slope of line=[tex]\frac{y2-y1}{x2-x1}[/tex]
=[tex]\frac{-4+4}{11-7}[/tex] =[tex]\frac{0}{4}[/tex] =0
In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. The letter m is frequently used to represent slope; the reason for this usage is unclear, but it can be found in O'Brien's (1844) and Todhunter's (1888) formulations of the equation for a straight line as "y = mx + b" and "y = mx + c," respectively.
The ratio of the "vertical change" to the "horizontal change" between (any) two unique points on a line is used to compute the slope.A declining line has a negative "rise." The line might be useful, as determined by a road surveyor, or it might appear in a diagram that represents a road or a roof as a description or a design.
The slope's absolute value serves as a gauge for a line's steepness, incline, or grade. A steeper line is indicated by a slope with a higher absolute value. A line can be drawn in one of four directions: upward, downward, horizontal, or vertical.
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Drag and drop the range of each data set into the boxes
The range of data set 1 is 20 and the range of data set 2 is 25.
From the given figure, the observations in data set 1 are 20, 25, 25, 25, 30, 30, 30, 35, 35 and 40.
The observations in data set 2 are 35, 40, 40, 45, 45, 45, 50, 50, 55 and 60.
What is the range?In statistics, the range of a set of data is the difference between the largest and smallest values, the result of subtracting the sample maximum and minimum. It is expressed in the same units as the data.
From data set 1:
Highest observation = 40 and lowest observation = 20.
So, range = 40-20=20
From data set 2:
Highest observation = 60 and lowest observation = 35.
So, range = 60-35=25
Therefore, the range of data set 1 is 20 and the range of data set 2 is 25.
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Name a point that is collinear with the given points.
Answer: Three or more points that lie on the same line are called collinear point.
Example : the points A, B and C lie on the line m. They are collinear
Step-by-step explanation: i really hope this helps somehow (: btw lmk if i am wrong
Find the distance between the pair of points. Round to the nearest tenth, if necessary. (-4,-5) (0,5)
The distance between the two points ( − 4 , - 5 ) and ( 0 , 5 ) is 10 units.
We are given the two points:
( − 4 , - 5 ) and ( 0 , 5 )
We need to find the distance between the two points.
The formula for distance is given as:
Distance = √ (x₂ - x₁)² + (y₂ - y₁)²
Substituting the values, we get that:
Distance = √ ( 0 + 4 )² + ( 5 + 5)²
Distance = √ ( 4 )² + ( 10 )²
Distance = √ 16 + 100
Distance = √ 116
Distance = 2 √29 units.
Therefore, we get that, the distance between the two points ( − 4 , - 5 ) and ( 0 , 5 ) is 2 √29 units.
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5x+3-2x=7x+3 sometimes always never
The true statement is sometimes true
How to determine the true statement?The equation is given as
5x + 3 - 2x = 7x + 3
Evaluate the like terms on each side of the equation
So, we have
3x + 3 = 7x + 3
Evaluate the like terms on both sides
4x = 0
Divide both sides by 4
x = 0
This means that the equation is only true when x = 0
Hence, the true statement is sometimes true
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a student receives test scores of 62, 83, and 91. the student's term project score is 88 and her homework score is 76. each test is worth 20% of the final grade, the term project is 25% of the final grade, and the homework grade is 15% of the final grade. what is the student's mean score in the class?
Final answer:
The student's mean score in the class is calculated as 80.6
What is mean in statistics ?The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means. The mean represents the average or middle value of all the data in a dataset as a single number. One of many measures of central tendency, it is also referred to as the arithmetic average.
The mean is significant because it reveals the location of the dataset's median value. Because it contains data from each observation in a dataset, the mean is also significant.
Explanation:
Let [tex]x1 = 62, x2 = 83, x3=91, x4=88, x5=76[/tex]
Test scores count for 20% of the grade, final grades for 25%, and homework grades for 15% of the grade. Therefore
[tex]w1 = w2= w3 = 0.20\\w4 = 0.25\\w5 = 0.15[/tex]
[tex]= > \frac{12.4 + 16.6 + 18.2 + 22+11.4}{1}[/tex]
Which becomes,
[tex]= 80.6[/tex]
According to weights proportionate to values in the final grade, the weighted mean yields the mean value. The observed values are multiplied by the weights, which are then divided by the total number of weights.
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Tammy earns 51 dollars per week working part time at a book store. She makes one dollar more for each book that she sells. The amount, A(in dollars), that Tammy earns in a week If she sells b books is given by the following function A(b)= 51+bHow much does Tammy earn in a week if she sells books?
Find the exact solution of x.
X²=16
X=4
No solution
X=_+4
X=-4
Answer:
(-4, 4)
Step-by-step explanation:
x can be either negative 4 or positive 4. A negative number squared is a negative number times a negative number, which will be a positive number.
Is 13/16 a real number
Stella earned a grade of 62% on her multiple choice history final that had a total of 200 problems. How many problems on the final exam did Stella get wrong?
Answer: 76 problems wrong
Step-by-step explanation:
62%=
62/100=0.62
0.62*200=124 problems right
200-124=76 problems wrong
Help asap! 45 pts!
What is the third reason in the angle proof?
∠2≅∠3 because ∠1≅∠2 and ∠1≅∠3. Hence proved.
Given that, AD bisects ∠BAC and ∠1≅∠3.
What is an angle bisector?An angle bisector is defined as a ray, segment, or line that divides a given angle into two angles of equal measure. The word bisector or bisection means dividing one thing into two equal parts.
Since AD bisects ∠BAC, ∠BAD=∠DAC.
That is ∠1≅∠2 (AD bisects ∠BAC into two equal angles)
Since ∠1≅∠2 and ∠1≅∠3 (given)
We get, ∠2≅∠3
∠2≅∠3 because ∠1≅∠2 and ∠1≅∠3. Hence proved.
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There are 5 adults and 8 children in a group. what is the total cost for the group to ride the Ferris wheel??
If a group of 5 adults and 8 children, went for a ride of the Ferris wheel, and if the ticket cost $1 per person, irrespective of age, then total cost of tickets for the whole group will be $13.
As per the question statement, a group of 5 adults and 8 children, went for a ride of the Ferris wheel and the ticket costed $1 per person, irrespective of age.
We are required to calculate the total cost of tickets for the whole group.
Since the ticket cost was same for persons of all ages, therefore, total members of the group who wanted to ride the Ferris wheel was
(8 + 5) = 13.
As per the Unitary method, we have to calculate the value of 13 tickets from the data on the value of a single ticket provided to us in the question statement, i.e., we simply need to multiply the number of tickets with the cost of a single ticket to obtain our desired answer.
Therefore, cost of 13 tickets with each ticket costing $1 is [tex](13*1)=13[/tex] Dollars.
Unitary Method: In Mathematics, the unitary method is a technique of solving a problem, where first, we find the value of a single unit, and then find the required value by multiplying the value of the single unit.To learn about Unitary Method, click on the link below.
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How many lengths of wire, each are 3 7/8 inches long , can be cut from a 25ft roll?
Number of [tex]3\frac{7}{8}[/tex] inches length wire that can be cut from 25ft roll is 77
Given,
The total length of the roll =25 foot
Length of each wire = [tex]3\frac{7}{8}[/tex] inches
First we have to convert mixed fraction to simple fraction
[tex]3\frac{7}{8}=\frac{31}{8}[/tex] inches
Convert foot to inches
25 foot = 25×12 =300 inches
Number of [tex]3\frac{7}{8}[/tex] inches length wire that can be cut from 25ft roll = Total length of the roll/ Length of each wire
=300÷[tex]\frac{31}{8}[/tex]
=77.41
≈77
Hence, the number of [tex]3\frac{7}{8}[/tex] inches length wire that can be cut from 25ft roll is 77
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A = 1/4 0b^3c
need this rn algebra 1 will give a lot of points
Answer: c=[tex]\frac{4A}{b^3}[/tex]
Step-by-step explanation:
A = 1/4b^3c
A*4=4*1/4b^3c
4A=4/4b^3c
4A=b^3c
c=4A/b^3
c=[tex]\frac{4A}{b^3}[/tex]
I need help with decimals asap 100 points
need help fast
Answer:
f. 8.0
g. 34.4
h. 83.8
i. 121
j. 35.2
Step-by-step explanation:
f. 4.1 + 3.9 = 8.0
g. 23.1 + 7.6 + 3.7 = 34.4
h. 53.2 + 3.1 + 27.5 = 83.8
i. 11.1 + 17.3 + 92.6 = 121
j. 24.1 + 7.9 + 3.1 = 35.2
Find the values of a through e that make these two relations inverses of each other.
a=
b=
c=
d=
e=
DONE✔
2 of 11
-3.8
b
-1.4
-0.2
1.0
y
-3.1
3.2
с
4.4
5.0
x
-3.1
3.2
1.7
d
5.0
ע
a
-2.6
-1.4
-0.2
Answer:
hmm I'm pretty sure a is 3.2
if a cubic box (all sides the same length) has a volume of 1.0 l, what is the length of each side of the box in cm?
The length of each side of the box is 10 centimeter.
Volume is the amount of space occupied by a three-dimensional figure as measured in cubic units.
Given,
The volume of the cubic box = 1 liter
We know 1 liter= 1000 cubic centimeter
Volume of the cubic box= [tex]x^3}[/tex]
Then,
[tex]x^{3}=1000\\ x=\sqrt[3]{1000}[/tex]
x=10 centimeter
Hence, the length of each side of the box is 10 centimeter.
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f(x) = (½)x + 3
Rate of change ?
End behavior?
The rate of change is 1/2.
the end behavior of the function is:
as x → ∞, f(x) → ∞
as x → -∞, f(x) → -∞
What is the rate of change?
Here we have a simple linear function:
y = (1/2)*x + 3
Remember that for a general linear function we have:
y = a*x + b
Where a is the rate of change and b is the y-intercept.
Then comparing our function with the general one, we can see that the rate of change is 1/2.
Now, because the rate of change is positive, we can see that when x tends to infinity the function also tends to infinity.
And when x tends to negative infinity also does f(x).
Then the end behavior of the function is:
as x → ∞, f(x) → ∞
as x → -∞, f(x) → -∞
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determine whether the data described are discrete or continuous. relative humidity levels in operating rooms at local hospitals.
The data for relative humidity levels in operating rooms at local hospitals must be continuous.
For given question,
Continuous data is a type of numerical data that refers to the unspecified number of possible measurements between two points.
These numbers are not always clean and tidy like those in discrete data, as they're usually collected from precise measurements.
Variables in these data sets often carry decimal points.
When values in a data set are countable and can only take certain values, it is called discrete data.
In this question,
we need to find the type of data for relative humidity levels in operating rooms at local hospitals.
The data records of relative humidity levels carry decimal points.
Therefore, the data for relative humidity levels in operating rooms at local hospitals must be continuous.
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Given AB where A (3,4) and B (-1,-2), translate left 2 and up 1, then rotate 90 degrees clockwise about the point C(1,3). Graph and list the coordinates of A"B"
pls help urgently!!!!
The coordinates of the ends of the line segment A''B'' are A''(x, y) = (3, 3) and B''(x, y) = (- 1, 7), respectively. The graph of the line segment is attached aside.
What are the coordinates of the image of a line segment?
In this problem we must find the coordinates of a new line segment, generated after making translations and rotation, two kinds of rigid transformations. First, determine the coordinates of the ends of the line segments by translation formula:
A'(x, y) = (3, 4) + (- 2, 1)
A'(x, y) = (1, 5)
B'(x, y) = (- 1, - 2) + (- 2, 1)
B'(x, y) = (- 3, 1)
Second, determine the coordinates of the ends of the line segment by using the rotation formula:
A''(x, y) = O(x, y) + ((A'x - Ox) · cos θ - (A'y - Oy) · sin θ, (A'x - Ox) · sin θ + (A'y - Oy) · cos θ)
A''(x, y) = (1, 3) + ((1 - 1) · cos (- 90°) - (5 - 3) · sin (- 90°), (1 - 1) · sin (- 90°) + (5 - 3) · cos (- 90))
A''(x, y) = (1, 3) + (2, 0)
A''(x, y) = (3, 3)
B''(x, y) = O(x, y) + ((B'x - Ox) · cos θ - (B'y - Oy) · sin θ, (B'x - Ox) · sin θ + (B'y - Oy) · cos θ)
B''(x, y) = (1, 3) + ((- 3 - 1) · cos (- 90°) - (1 - 3) · sin (- 90°), (- 3 - 1) · sin (- 90°) + (1 - 3) · cos (- 90))
B''(x, y) = (1, 3) + (- 2, 4)
B''(x, y) = (- 1, 7)
The coordinates of the ends of the line segment A''B'' are A''(x, y) = (3, 3) and B''(x, y) = (- 1, 7), respectively. The graph of the line segment is attached aside.
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Find a polynomial function with leading coefficient 1 that has the given zeros, multiplicities, and degree. zero: 1, multiplicity: 2 zero: 2, multiplicity: 2 degree: 4
Polynomial expression for the given conditions is formulated in the equation
y(x)=1*(x-2)^3(x-0)^2
The polynomial for the conditions with leading coefficient 1 that has the given zeros, multiplicities, and degree. Zero: 2, multiplicity: 3 Zero: 0, multiplicity: 2 Degree: 5 is given as
According to the given condition
The given conditions to write the polynomial equations are as follows
Zero 2 and Multiplicity 3
Zero 0 and Multiplicity 2
Degree of polynomial expression = 5
The leading coefficient of polynomial expression = 1
Let us consider the polynomial equation has only one variable and hence in the general form we can write the equation of polynomial as follows
From the general form of polynomial expression as shown in equation (1) we can write
Polynomial expression for the given conditions is formulated in the equation
y(x)=1*(x-2)^3(x)^2-------(2)
So the polynomial for the conditions given in the question is expressed as
y(x)=1*(x-2)^3(x)^2
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Marko can bike at an average speed of 534 minutes per mile. He bikes at this speed for 8614 minutes.
How many miles does Marko bike?
Answer:
Marko bikes approximately 16.13 miles.
A very slow rate.
Step-by-step explanation:
average speed = 534 minutes per mile
time taken = 8614
d = t/s
distance = 8614 / 534
= 16.13 miles
Please I really need help on this!!!!
Answer:
502.7 cubic units
Step-by-step explanation:
When a rectangle is rotated about the side, a cylinder is formed.
Height of the cylinder will be the length of the rectangle of the side about rotated.
Height = h = VY = 10 units
Radius = r = VW = 4 units
[tex]\sf \boxed{\bf Volume \ of \ cylinder = \pi r^2h}[/tex]
= 3.142 * 4 * 4 * 10
= 502.7 cubic units
Nathan and Steven stacked boxes on a shelf. Nathan lifted 13 boxes and Steven lifted 15 boxes. The boxes that Nathan lifted each weighed 12 lb more than the boxes Steven lifted.
Let s represent the weight of the boxes that Steven lifted.
Which expression represents the total number of pounds Nathan lifted?
A. s + 12
B. 15(s+12)
C. 12(s+13)
D. 13(s+12)
Answer:
we assume the two boys lifted the same amount of weight of boxes. Let s be the weight of the boxes Steven lifted. Hence,
Step-by-step explanation:
13 ( s+12) = 15 s
where s + 12 means that the box lifted by Nathan weighed 12 more than that of Steven.
we solve,
s = 78 pounds
such that Nathan's is 90 pounds.
In a survey of 232 professional athletes, it was found that 121 of them owned a convertible, 100 of them owned a giant screen tv, and 93 owned a sporting goods store. 18 owned a convertible and a store, 38 owned a tv and a store, and 54 owned a covertible and a tv. 5 owned all three items. how many athletes did not own any of the three items? how many owned a covertible and a tv, but not a store? how many athletes owned a convertible or a tv? how many athletes owned exactly one type of item in the survey? how many athletes owned at least one type of item in the survey? how many owned a tv or a store, but not a convertible?
In a survey of 232 professional athletes, 23 athletes do not own any of the three items. 49 owns a convertible and a tv, but not a store. 163 athletes owns a convertible or a tv. 109 athletes owns exactly one type of item in the survey. 209 athletes owns at least one type of item in the survey. 55 owns a tv or a store, but not a convertible.
Using Venn diagram, a diagram used to present the relationship between sets in a logical form, we analyze the given information.
athletes who do not own any of the three items = 232 - (121 + 100 + 93) +(54 + 38 + 18) - 5 = 23
athletes who owns a convertible and a tv, but not a store = 54 - 5 = 49
athletes who owns a convertible or a tv = (121 + 93) - (18 + 38 - 5) = 163
athletes who owns exactly one type of item in the survey = (121 - 54 - 18 + 5) + (100 - 38 - 54 + 5) + (93 - 18 - 38 + 5) = 109
athletes who owns at least one type of item in the survey = 121 + 100 + 93 - 54 - 38 - 18 + 5 = 209
athletes who owns a tv or a store, but not a convertible = (100 - 54 -38 + 5) + (93 - 18 - 38 + 5) = 55
See attached photo for reference.
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Solve the equation for the red variable.
please help :(
Answer:
V = [tex]\frac{Bh}{3}[/tex]
Step-by-step explanation:
B = 3 × [tex]\frac{V}{h}[/tex] ( multiply both sides by h to clear the fraction )
Bh = 3V ( divide both sides by 3 )
[tex]\frac{Bh}{3}[/tex] = V
Please help with problem 24
Answer: Domain: All real numbers
Range: y<-2, y>=0
Step-by-step explanation:
Domain: All real numbers ==> x can be less than zero and greater than or equal to zero.
Range: y<-2, y>=0
-x-2, x>0
-x-2+2, x>2
-x, x>2
x, x<-2
y, y<-2
-x, x<=0
x, x>=0
y, y>=0
Answer:
Step-by-step explanation:
Domain 5
range 2
A bus leaves for Faisalabad at 4:30 p.m. It takes 1 hour 25 minutes to reach there .At what time will it reach Faisalabad
you would like to investigate whether smokers are more likely than nonsmokers to get lung cancer. you take the students in your class, select half at random and tell them to smoke a pack of cigarettes each day, and you tell the other half not to ever smoke. fifty years from now, you will analyze whether more smokers than nonsmokers got lung cancer. is this an experiment or an observational study? experiment observational study summarize at least three practical difficulties with this planned study.
The following given task is an experiment.
What do we mean by an experiment?An experiment is a procedure that is carried out to support or refute a hypothesis, or to determine the efficacy or likelihood of something that has never been tried before. Experiments shed light on cause-and-effect relationships by demonstrating what happens when a specific factor is changed. Experiments vary greatly in goal and scale, but they all rely on repeatable procedures and logical results analysis. Natural experimental studies are also available.So,
The following given task is an experiment.
Telling someone to start smoking a pack of cigarettes every day endangers their health. The other half, who are told not to smoke, may do so at their leisure. In the end, it will be difficult to track who smoked and who did not over the course of 50 years, and whether they did so consistently.Therefore, the following assignment is an experiment.
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how do I turn this into an equation to solve for x
To solve the for x the equation will be 3x° = 80° - x° and the value of x is 20°.
When two or more lines meet at a common point it is known as intersecting lines.
According to the question we have been given that there are two lines who are intersection at a point. And we have been given measure of two angles.
Let the first angle be given as ∠A and the second angle be given as ∠B.
The measure of angles given to us are :
∠A = 3x° and ∠B = (80 - x)°
We know that when two lines intersect then the vertically opposite angles are equal, that is
∠A = ∠B
Putting the required values we get
3x° = 80° - x°
4x° = 80°
x = 20°
Hence the value of x = 20°. Thus the measure of ∠A = 60° and ∠B = 60°
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What is the solution to the equation below? 4+square root of x =10