The distance between the points (-7,1) and (-7,-5) on the coordinate plane is 6 units.
The distance formula is a useful tool in many areas of mathematics and science, such as geometry, physics, and engineering. It can be used to find the distance between two points in any number of dimensions, not just two dimensions as in the coordinate plane In addition, the distance formula can also be used to find the length of a line segment in the coordinate plane, which is just the distance between its endpoints. This can be useful in finding the shortest distance between two points, or in finding the length of a path that connects two points.
The distance formula is a mathematical equation used to find the distance between two points in the coordinate plane. It makes use of the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side (the hypotenuse).
In the coordinate plane, we can represent each point by its coordinates (x1, y1) and (x2, y2). The distance between the points is then given by the equation:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
For the points (-7,1) and (-7,-5), we can plug in the values into the equation:
distance = sqrt((-7-(-7))^2 + (-5-1)^2) = sqrt(0^2 + (-6)^2) = sqrt(36) = 6
So the distance between the points (-7,1) and (-7,-5) on the coordinate plane is 6 units.
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I NEED HELP ON THIS ASAP!!
By using the x- and y-intercepts, a graph of the function modeling the total number of tickets sold is shown in the image attached below.
The domain and range of each function is {-∞, ∞}.
The meaning of the x-intercept is that the initial number of student tickets sold is 600 tickets.
The meaning of the y-intercept is that the initial number of adult tickets sold is 300 tickets.
The slope of the function is 0.5 and it represents the number of tickets sold per week.
You can use the graph to determine a combination of ticket sales to meet the goal of $3,000 by adding each ordered pair (s, a) or (x, y) together.
Felina's graph is correct because it has the same x-intercept and y-intercept with the original graph.
How to write an equation to model this situation?In order to write a linear equation to describe this situation, we would a assign variable to the number of student tickets sold and the adult tickets sold respectively, and then translate the word problem into a linear equation as follows:
Let the variable s represent the number of student tickets sold.Let the variable a represent the number of adult tickets sold.Since student are paying $5 while adults are paying $10 for a ticket and the athletic association need to raise $3000 by selling tickets, a linear equation that models the situation is given by:
5s + 10a = 3000
When s = 0, the value of a is given by:
5(0) + 10a = 3000
a = 300
When a = 0, the value of s is given by:
5a + 10s = 3000
s = 600
For the total number of tickets, we have this linear equation:
s + a = 450
In conclusion, we would use an online graphing calculator to plot the system of linear equations in order to determine the solution (point of intersection), which is at the ordered pair (300, 150).
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Complete Question:
The Marshall High School Athletic Association sells tickets for the weekly football games. Students pay $5 and adults pay $10 for a ticket. The athletic association needs to raise $3000 selling tickets to send the team to an out-of-town tournament.
1. Use x- and y-intercepts to graph the function modeling the total number of tickets sold on each coordinate plane.
2. Determine the domain and range of each function
find the value of x , please show how you did it
The value of x from the given figure is 15°.
What is sum of exterior angles of polygon?An exterior angle is an angle which is formed by one of the sides of any closed shape structure such as polygon and the extension of its adjacent side. The sum of the measures of the exterior angles of a polygon is equal to 360 degrees, irrespective of the number of sides in the polygons.
In the given figure, we have 7x°, 83°, 33°, 6x° and 49°.
Now, 7x°+83°+33°+6x°+49°=360°
13x+165=360
13x=360-165
13x=195
x=195/13
x=15
Now, 6x=90° and 7x=105°
Therefore, the value of x is 15°.
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how many ways are there to arrange 7 elves and 5 goblins in a row in such a way that no goblins stand next to each other
There are 11,838,890 ways to arrange 7 elves and 5 goblins in a row without any goblins standing next to each other.
This can be calculated using the formula for combinations, n!/(r!(n-r)!), where n is the total number of elves and goblins (12) and r is the number of goblins (5). The calculation is written as 12!/(5!(12-5)!) = 11,838,890.
To illustrate, one possible arrangement is EE EG EEG EEG EGEE EG. Here, E stands for elf and G stands for a goblin. The arrangement starts with two elves, followed by an elf and a goblin, followed by three elves, followed by an elf and a goblin, followed by two elves, and finally ending with an elf.
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Maths question attached
(a) The scale factor from shape A to shape B is 3/4.
(b) The value of w is 21/4 cm.
What is sale factor?A scale factor is the ratio of the new object to a given original object.
For example,
The size of original object is A.The size of new object is B.They have the similar shape.The scale factor is A : B.
We have two similar trapezoid as shown in the picture.
Find (a) the scale factor from shape A to shape B, and (b) the value of w!
The scale factor from shape A to shape B can be determined by analyzing one of the side length. We can take the longest side of the trapezoid.
Scale factor = 9/12 = 3/4
The value of w side is correspond to 7. So,
w/7 = 3/4
w = 3/4 × 7
w = 21/4 cm
Hence, the scale factor is 3/4 and the value of w is 21/4 cm.
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in the given figure ab cd and p q. find the measure of x y and z
The measures of x, y and z are 40⁰, 90⁰ and 50⁰
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
We know that co-interior angles are supplementary.
∠APQ+∠CPQ=180⁰
x+∠CPQ=180⁰
x+140⁰=180⁰
x=40⁰
∠BPR+∠PRD=180⁰
z+130⁰=180⁰
z=50⁰
Now, angles x, y and z form a line, hence they sum up to 180∘.
x+y+z=180⁰
40⁰+y+50⁰=180⁰
y=90⁰
Hence, the measures of x, y and z are 40⁰, 90⁰ and 50⁰
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The question is not complete, similar kind of question is given below.
In the given figure, AB || CD. Find the measure of x, y and z.
Guys no one answers this :(
A circle is inscribed in quadrilateral ABCD. If AB = 4, BC = 5, and CD = 8,
what is DA?
Step-by-step explanation:
the distance from a vertex of the quadrilateral to the touching points on the two sides emanating from the vertex is the same.
and that applies to each of the 4 vertices.
so, AB splits into the distance a (from A to the circle touching point on AB) and b (from the touching point on AB to B).
b = AB - a
in the same way, BC splits into b (B to circle touching point on BC) = AB - a, and c (circle touching point on BC to C).
c = BC - (AB - a) = BC - AB + a
CD splits into c (C to circle touching point on CD) = BC - AB + a, and d (circle touching point on CD to D).
d = CD - (BC - AB + a) = CD - BC + AB - a
DA now splits into d (D to circle touching point on DA) = CD - BC + AB - a, and into ... a (the circle touching point on DA to A).
a = DA - (CD - BC + AB - a) = DA - CD + BC - AB + a
0 = DA - CD + BC - AB
DA = CD - BC + AB = 8 - 5 + 4 = 7
Sam is four years younger than Amy. Five years ago he was half her age. how old are they now?
Answer:
Amy is 14 years old and Sam is 10 years old.
Step-by-step explanation:
Let's represent Amy's current age as "A".
Since Sam is four years younger than Amy, his current age can be represented as (A - 4).
Five years ago, Amy's age was A - 5 and Sam's age was (A - 4) - 5 = A - 9.
At that time, Sam was half of Amy's age, so we can write the following equation:
(A - 9) = (A - 5) / 2
Expanding and simplifying the equation, we get:
A - 9 = 2A / 2 - 5 / 2
A - 9 = A - 5 / 2
7 = A / 2
A = 14
So, Amy is 14 years old and Sam is (14 - 4) = 10 years old.
Work out the percentage change when a price of £50 is decreased to £40.
pls give simple working out :)
Answer: They took away 5%
Step-by-step explanation:
If you get 50 and the you have 40 you get 5%
what is s(t)=0.65(0.48)^t's percent rate of change.
The percent rate of change of s(t) is approximately -26.15%. This means that the function is decreasing at a rate of about 26.15% per unit of time.
The function s(t) = 0.65[tex](0.48)^t[/tex]represents a decreasing exponential function, where t is time and s(t) is the value of the function at time t.
To find the percent rate of change of s(t) at any given time t, we can use the formula:
percent rate of change = [(new value - old value)/old value] x 100%
In this case, the "old value" is s(t) and the "new value" is s(t+1), or the value of the function one unit of time later.
So, the percent rate of change of s(t) is:
percent rate of change = [(s(t+1) - s(t))/s(t)] x 100%
We can substitute the given function into this formula:
percent rate of change = [(0.65[tex](0.48)^(t+1)[/tex]- 0.65[tex](0.48)^t)[/tex]/0.65[tex](0.48)^t][/tex]x 100%
Simplifying, we get:
percent rate of change = [(0.48(0.65)[tex](0.48)^t[/tex]- 0.65[tex](0.48)^t)[/tex]/0.65[tex](0.48)^t][/tex] x 100%
percent rate of change = [-0.17/0.65] x 100%
percent rate of change = -26.15%
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Area of Trapezoids and Other Figures quick check
Liliana's next step is to find the area of each of the two trapezoids.
How to determine her next stepFrom the question, we have the following parameters that can be used in our computation:
Liliana wants to find the area of a polygon.First, she breaks apart the polygon into two trapezoids.Given that she has broken the polygon into two trapezoids, the next step ti so calculate the area of each trapezoid
This is done using
Area = 1/2 * (sum of parallel sides) * height
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Complete question
Area of Trapezoids and Other Figures quick check
Liliana wants to find the area of a polygon. First, she breaks apart the polygon into two trapezoids. What is Liliana's next step?
are the first five terms of a sequence:
Here
9, 16, 23, 30, 37
b) Vick says that 137 is a term of this sequence. Is she correct? Explain your
answer.
137 is not a term of the sequence because 7n +2= 137 does not have a
solution.
137 is a term of the sequence because it ends in 37, just like the fifth term
37.
137 is not a term of the sequence because 7n +2= 137 gives n = 19.285...
which is not a whole number.
Click here to show yo
137 is a term of the sequence because it is an odd number, just like the rest
of the terms.
137 is a term of the sequence because 7n+2= 137 gives n = 18, and so
137 is the 18th term.
137 is not a term in this sequence due to the fact that 7n +2= 137 gives n = 19.285 which is not a whole number.
How to solve for the sequenceWe have to use the formula
tn = a + ( n - 1) d
where we have tn = 137
a is the first term = 9
n i unknown
d is the difference = 16 - 9 = 7
We have to put these values in the formula such that
137 = 9 + (n - 1) 7
then we have to expand this
137 = 9 + 7n - 7
take the like terms
137 = 9 - 7 + 7n
137 = 2 + 7n
137 - 2 = 7n
135 = 7n
divide through by 7
135 / 7 = 7n / 7
n = 19.28571...
This is not a whole number, hence 137 is not a term in the sequence that we have here
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I WILL GIVE BRAINLEST
The value of the angle 4 is 96 degrees as shown in the diagram.
Application of line geometryA line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things.
From the given diagram, the measure of angle 1 and 3 are equal as well as 2 and 4.
Given the following angles
m<3 = 84 degrees
Since the measure of <3 and <4 lies on the same straight line, hence:
m<3 + m<4 = 180
84 + m<4 = 180
m<4 = 180 - 84
m<4 = 96 degrees
Hence the measure of angle 4 from the figure is 96 degrees
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The diagram shows the floor plan of Jill's dining room.
Jill is going to cover the floor with wooden floorboards.
1.5m
Diagram NOT
accurately drown
The floorboards are sold in packs. One pack of floorboards will cover 2.25 m²
Work out how many packs Jill needs.
You must show all your working.
The number of pack Jill needs is 7.
How to find the number of packs Jill needs?The diagram shows the floor plan of Jill's dining room. Jill is going to cover the floor with wooden floorboards. The floorboards are sold in packs. One pack of floorboards will cover 2.25 m². Therefore, the number of packs Jill needs can be calculated as follows;
Therefore, let's find the area of the floor.
area of the floor = area of the first rectangle + area of the second rectangle
area of the first rectangle = 3 × 2
area of the first rectangle = 6 m²
area of the second rectangle = 4.5 × 2
area of the second rectangle = 9 m²
area of the floor = 15 m²
Therefore,
2.25 m² = 1 pack
15 m² = ?
cross multiply
number of pack = 15 / 2.25
number of pack = 6.66666666667
Therefore,
number of pack ≈ 7
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Suppose you know that ∠S and ∠Y are complementary and that m∠S = 3(m∠Y) − 70°. Find m∠Y. (help pls)
The measure of angle m∠Y as required to be determined given that the two angles S and Y are complementary is; 40°.
What is the measure of angle Y?As evident in the task content; ∠S and ∠Y are complementary.
Therefore; m∠S + m∠Y = 90°.
Also, since; m∠S = 3(m∠Y) − 70°.
By substitution;
3(m∠Y) − 70° + m∠Y = 90°
4m∠Y = 160°
m∠Y = 40°.
Ultimately, the measure of angle Y as required is; m∠Y = 40°.
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PLEASE HELP!!! The net of a rectangular prism is shown below. giasl
8 cm
3 cm,
5 cm
8
3 cm
What is the surface area, in square centimeters, of the rectangular prism?
Answer:
[tex]158[/tex][tex]cm^2[/tex]
Step-by-step explanation:
Since the formula is [tex]2(wl+hl+hw)[/tex], we can simply plug in the lengths.
Once calculated, the answer is [tex]158cm^2[/tex].
Hope it helped!
Answer:
158 cm²
Step-by-step explanation:
You want the surface area of a rectangular prism whose net is shown.
AreaThe surface area of the prism is the area of the net. That area is the sum of the areas of the rectangles that make it up. The rectangles come in pairs that have the same area.
Down the middle we have two pairs of rectangles. One pair is 8 cm wide and 3 cm high; the other is 8 cm wide and 5 cm high. Together the area of those four rectangles is ...
2(8 cm)(3 cm +5 cm) = 2(64 cm²) = 128 cm²
The "wings" of the net are rectangles that are 3 cm by 5 cm, so their total area is ...
2(3 cm)(5 cm) = 30 cm²
The area of the net is then ...
surface area = 128 cm² +30 cm²
surface area = 158 cm²
__
Additional comment
If you like, you can use the area formula. It will tell you the same thing for this 3 × 5 × 8 cm prism.
SA = 2(LW +H(L +W)) = 2(3·5) +8(3 +5)) = 2(15 +8·8) = 2(79) = 158 . . . cm²
find the quotient. simplify your answer. 3b/4 divided by -c/6
The quotient of 3b/4 divided by -c/6 is -9b/2c
What are algebraic expressions?Algebraic expressions are simply defined as those expressions that are made up of coefficients, variables, constants, terms and factors.
They are also seen as expressions that are composed of mathematical or arithmetic operations, such as;
SubtractionAdditionMultiplicationDivisionParenthesesBracketFloor divisionFrom the information given, we have that;
3b/4 divided by -c/6
This is represented as;
3b/4 ÷ -c/6
Take the inverse of the divisor and multiply
3b/4 × 6/-c
18b/-4c
Divide the values
-9b/2c
Hence, the value is -9b/2c
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2
Here is the graph of the function y = x² + x - 5.
2
Estimate the solutions to x² + x − 5 = 0.
Give your answers to 1 decimal place.
The root of the equation are x² + x − 5 = 0 are 2.85 and --3.85
What are quadratic equation?quadratic equation is a second-order polynomial equation in a single variable x ax²+bx+c=0. with a ≠ 0 . Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
We can use the formula x =-b±√b²-4ac/2a to find the root of a quadratic equation
a = 1, b = 1 and c = -5
x= -(1) ± √ 5²-4× -5×1)/2
x = -1±√25+20)/2
x = -1±√45)/2
x = -1+6.7/2 or -1-6.7/2
x = 5.7/2or -7.7/2
x = 2.85 or -3.85
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Find the midpoint of A and B
where A has coordinates (2, 7)
and B has coordinates (6, 3).
Answer: midpoint is 4,5
Step-by-step explanation:
A circular pond has a circumference of about C feet. The diameter of the pond is 7 feet. Which expression best represents the value of pi?
An expression which best represents the value of pi include the following: D. C/7.
How to calculate the circumference of a circle?Mathematically, the circumference of a circle can be calculated by using this mathematical expression:
C = 2πr or C = πD
Where:
C represents the circumference of a circle.D represents the diameter of a circle.π represents pie.r represents the radius of a circle.Making π the subject of formula, we have the following:
π = C/D
Substituting the given parameters into the circumference of a circle formula, we have;
π = C/7.
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Complete Question:
A circular pond has a circumference of about C feet. The diameter of the pond is 7 feet. Which expression best represents the value of pi?
A. C/14
B. 7/C
C. 14/C
D. C/7
I NEED HELP WITH THIS QUESTION ASAP PLEASE LOOK AT THE IMAGE ATTACHED
Answer: 250
Step-by-step explanation:
It says in the question that the first round was -350 but the second round she score 250 and the question wants to know how many points she scored in the second round with would be 250.
Please work on paper and help me do this
It should be noted that the addition of 1.17+ √63 will give an irrational number.
How to convey the informationIf p and q are integers and q is not equal to 0, then the number is in the form of p/q and is said to be rational. Among the rational number examples are 1/3, 2/4, 1/5, 9/3, and so forth.
All real numbers that are not rational numbers are referred to be irrational numbers in mathematics. In other words, it is impossible to describe an irrational number as the ratio of two integers.
In this case, the answer is irrational, as the square root of 63 is not a rational number and cannot be expressed as a fraction of two integers.
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Please help now I need help ASAP thank you!
Answer:
Top TUV
Bottom: UV, UT, TV
Step-by-step explanation:
The scale factor from the larger to the smaller is 3/4
24(3/4) = 18
12(3/4) = 9
16(3/4) = 12
what type of statistical learning do all data examples in problem 1 correspond to - supervised or unsupervised?
It is possible to design any statistical learning problem to minimize predicted loss. All data examples in problem 1 correspond to supervised learning.
What is supervised learning?
The use of labelled datasets distinguishes the machine learning strategy known as supervised learning. These datasets are intended to "supervise" or "train" algorithms to correctly classify data or forecast outcomes. Labeled inputs and outputs allow the model to monitor its precision and improve over time.
When using data mining, supervised learning may be divided into two categories: classification and regression.
Using an algorithm, classification issues correctly categories test data into distinct groups, such as distinguishing apples from oranges.
Another supervised learning technique that employs an algorithm to comprehend the link between dependent and independent variables is regression.
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Correct question:
What type of statistical learning do all data examples supervised or unsupervised?
How to get smarter for a math test
Answer:
I would recommend taking practice quizzes online for the level of math you are taking to find what areas you understand well and what areas you are struggling in. From there, you can review that specific area of math and refine your knowledge. Taking practice quizzes repeatedly until you are confident both in the mathematics and the test taking itself(if you struggle with test taking in general) will help a lot.
Answer:
Step-by-step explanation:
Study Time: I suggest you study over a period of time and try to understand the topic. For example, try to include breaks to help yourself relax. DO NOT cram lots of math into your head on an overnight studying marathon. Many people try that, and unless you have a photographic memory, it does not help at all.
Topics: Try to study one topic at a time so the information does not get mixed up in your head. Try to remember things with variables.
Resources: Ask your teacher what topics the test will cover and how many questions will be on the test. You can find lots of worksheets online and review explanations to similar questions on websites.
Morning before the test: Sleep early and wake up early. Try to relax and eat a healthy breakfast.
I wish you luck on your test!
Helpppppppp please i would like to have some help so i don't have to do it later
Answer:
Math ba yan? Wala ba diyan example kung pano i solvee yan?
Step-by-step explanation:
11 cm
assuming all sides angles are right angles, opposing sides are equal in length or total length.
top bottom.
x = 5 +6 = 11
x = 11 cm
2x power of 2 + 3x + 1,Gives the answer 2x power of 3 + x power of 2 - 2x +1
The answer 2x power of 2 + 3x + 1. Therefore, the answer of the equation is x = 2.
Equation:
An equation is a mathematical operator that contains two algebraic expressions on either side of an equals (=) sign. Shows the equivalence between the expression written on the left and the expression written on the right. Every equation in mathematics has L.H.S = R.H.S (left = right). We can solve an equation to find the value of an unknown variable that represents an unknown quantity. If an expression does not have an equal sign, it is not an equation. This is considered an expression.
Now,
It has been given that
[tex]\frac{2^{3x-1} +10}{7} = 6[/tex]
Cross multiplying, we get
[tex]2^{3x-1} +10 = 42[/tex]
Subtract 10 to both sides
[tex]2^{3x-1} = 32[/tex]
Write 32 in exponent form
[tex]2^{3x-1} = 2^{5}[/tex]
Since, base of both sides of the equation is 2. Hence, the exponent must be equal.
3x - 1 = 5
⇒ 3x = 6
⇒ x = 2
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4/7 of the girls the chicken nuggets,whereas 40% of the boys like the chicken nuggets.How many total students like chicken nuggets?What percents of the entire students body is this?
Total number of students that like chicken nuggets is 4/7 x G + 40/100 x B.
The percentage of entire student body that like chicken nuggets are (4/7 x G + 40/100 x B) / T x 100.
How to calculate totals and percentage?Given that 4/7 of the girls like chicken nuggets, if there are G girls, then the number of girls who like chicken nuggets is 4/7 x G.
Given that 40% of the boys like chicken nuggets, if there are B boys, then the number of boys who like chicken nuggets is 40/100 x B.
The total number of students who like chicken nuggets is 4/7 x G + 40/100 x B.
To find the percentage of the entire student body that likes chicken nuggets, divide the number of students who like chicken nuggets by the total number of students, and multiply by 100.
Let's say there are T total students.
The percentage of the entire student body that likes chicken nuggets is (4/7 x G + 40/100 x B) / T x 100.
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Is. AXYZ a right triangle? (Picture included)
Answer: yes
Step-by-step explanation:
7^2+24^2 = 625
[tex]\sqrt{625}[/tex] = 25
A ___ is a quadrilateral with two sets of parallel sides and 4 congruent sides
A quadrilateral with two sets of parallel sides and 4 congruent sides is called a parallelogram. A parallelogram is a quadrilateral with two sets of parallel sides and 4 congruent sides.
A parallelogram is a four-sided polygon with two pairs of opposite sides that are parallel to each other and equal in length. This means that the shape has two sets of parallel sides and all of its sides have the same length.
Parallelograms have several key properties, including opposite sides that are equal in length and parallel, and opposite angles that are equal in measure. Additionally, the diagonals of a parallelogram bisect each other, meaning they split each other in half.
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A Venn diagram comparing a swamp to a rainforest is shown below:
An image of a Venn diagram is shown labeled swamp and rainforest. The label in the swamp portion is B. The label in the intersection of the two circles is C. The label in the rainforest portion is D. The label outside the circles is A.
Which area represents elements contained in open parentheses rainforest intersection swamp close parentheses complement?
A
B, C, D
C
A, B, D
The elements in (D∩B)' is A,B,D.
What is a set ?A set is defined as collection of well-defined object. It is denoted by capital letters and their elements are denoted by small letters.
Given that ,
In venn diagram, B is the swamp portion and D is the rainforest portion.
C represents the intersection of B and D. i.e., C= (D∩B)
A is the universal set.
(D∩B)' = A - (D∩B)
= A - C
Hence, (D∩B)' contains A, B, D.
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