A U B= { If x is a factor of 6 and y is a prime number}, then The collection of elements that belong to either set A or set B, or to both sets A and B, is the union of the two sets A and B.
What is A U B ?[tex]$A=\{x \leq 5 ; x \in N\}$[/tex]
[tex]$: \mathrm{A}=\{1,2,3,4,5\}$\\$\therefore \mathrm{A} \mid=5$[/tex]
The following sets have been entered by you:
A = {(x: If x is a factor, then 6)}
B ={ ( y, where y is a prime number ) }.
A and B are combined to form:
[tex]$A \cup B$[/tex] = { If x is a factor of 6 and y is a prime number}, then
The collection of elements that belong to either set A or set B, or to both sets A and B, is the union of the two sets A and B. We discover togetherness in two steps: STEP 1: Compile a list of each component from each set.
[tex]$$\{(x: \text { xisafactorof } 6), y: \text { yisaprimenumber }\}$$[/tex]
Remove any components that are duplicates in step 2 to obtain:
[tex]$$A \cup B=\{(x: \text { xisafactorof } 6), y: \text { yisaprimenumber }\}$$[/tex]
To learn more about sets refer to :
https://brainly.com/question/13458417
#SPJ1
The measures of two supplementary angles total 180 degrees. The measure of angle y is 65 degrees less than the measure of angle x. What are the measures of the angles?
The measure of angle x is 122.5 degrees. The measure of angle y is 57.5 degrees.
The measure of angle x is 115 degrees. The measure of angle y is 65 degrees.
The measure of angle x is 57.5 degrees. The measure of angle y is 122.5 degrees.
The measure of angle x is 65 degrees. The measure of angle y is 115 degrees.
Based on the definition of supplementary angles, the measures of the angles are:
Angle x = 122.5°
Angle y = 57.5°
What are Supplementary Angles?When two angles gives a sum of 180 degrees when they are added together, then the two angles are referred to as supplementary angles.
For example, if angle x and angle y are supplementary angles, it means that:
Measure of angle x + measure of angle y = 180 degrees.'
Given the following:
The measure of angle x = x degrees
The measure of angle y = x - 65 degrees.
Therefore, we have:
x + x - 65 = 180
2x - 65 = 180
2x = 180 + 65
2x = 245
2x/2 = 245/2
x = 122.5
Thus:
Measure of angle x = 122.5°
Measure of angle y = 180 - 122.5 = 57.5°
Learn more about supplementary angles on:
https://brainly.com/question/8992900
#SPJ1
Answer:
A
Step-by-step explanation:
Latisha is compiling a program for a video game.
For one part of the program they use the rule (x,y) → (x + 10, y - 6) to move a character on the screen.
(a) What output does the rule give when the input is (10,-5)? Show your work.
(b) What output does the rule give when the input is (-4,8)? Show your work.
The shifted coordinates for each of the following are (20,-11) and (6,2).
Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane. The x axis (horizontal) and y axis are the two axes that make up a coordinate plane (vertical).
Given, (x,y) → (x + 10, y - 6)
a) when the input is (10,-5) -
10 + 10 = 20
- 5 - 6 = - 11
(20,-11)
b) when the input is (-4,8) -
-4 + 10 = 6
8 - 6 = 2
(6,2)
To learn more about coordinates from given link
https://brainly.com/question/1786465
#SPJ1
Limit of (t^4-1/t^3-1) as t approaches 1
On one day at a local minigolf course, there were 320 customers who paid a total of $2,900. If the cost for a child is $7 per game and the cost for an adult is $10 per game, write a system of equations to model this scenario, where x represents the number of children and y represents the number of adults who played that day.
Answer: We can write a system of equations to model this scenario using the information given.
Let x represent the number of children who played minigolf that day, and let y represent the number of adults who played minigolf that day.
The first equation represents the total number of customers, which is the sum of the number of children and the number of adults.
x + y = 320
The second equation represents the total amount of money earned, which is the product of the number of children playing and the cost per child's game plus the product of the number of adults playing and the cost per adult's game.
7x + 10y = 2900
So the system of equations that models this scenario is:
x + y = 320
7x + 10y = 2900
We can use this system of equations to find the number of children and adults who played minigolf that day, given the total number of customers and total amount of money earned. By solving this system of equations we can find the values for x and y.
Step-by-step explanation:
What is the 2nd coordinate?
The second coordinate in a two-dimensional coordinate system is the y-coordinate, which indicates the vertical distance from the origin point (0, 0).
What is coordinates?Coordinate is a pair of numbers used to identify the position of a point in a plane or in space. It is mostly used in mathematics, science, and engineering. Coordinates are used to define locations on maps, to plot graphs, and to identify points on a two-dimensional plane. By knowing the coordinates of two points, one can calculate the distance between them.
The y-coordinate can be either positive, negative, or zero. The y-coordinate is also referred to as the “ordinate” or the “vertical coordinate”. The second coordinate is usually written as the number located at the top of the y-axis on a graph.
To know more about coordinates click-
https://brainly.com/question/27481419
#SPJ4
Find the distance between the points (8, 1) and (2, 9).
Round decimals to the nearest tenth.
Answer:
10
Step-by-step explanation:
using the distance formula
than 44 an t& cent.
14. It cost the Wilson children $55 to make lemonade. How many
glasses must they sell at 75% each to make a profit?
Answer:
pro
Step-by-step explanation:
proproproprohope th uh s was helpfulFind the length of side
x to the nearest tenth.
Answer:
Step-by-step explanation:
Isosceles triangle (Same angle) means both sides are the same length, triangle is also right meaning you can plug values into Pythagorean theorem ([tex]a^2 + b^2 = c^2[/tex])
[tex]x^2+x^2 = 1^2\\2x^2=1\\x = \sqrt{\frac{1}{2} }\\x = 0.707...\\x=0.7[/tex]
Assuming all my math is right, this is your answer
Kylie leans a 30-foot ladder against a wall so that it forms an angle of 74° with the ground. What’s the horizontal distance between the base of the ladder and the wall?
8.269 feet is the horizontal distance between the wall and the ladder's base.
What is the distance?Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively.
The distance can refer to the physical length in physics or to an estimate based on other factors in ordinary language (e.g. "two counties over").
The term is frequently used metaphorically to refer to a measurement of the difference between two common pieces (such as statistical distance between probabilistic or edit distance between strings of text) or a degree of separation, as spatial cognition is a rich source of conceptual metaphors in human thought (as exemplified by the distance between people in a social network).
So, using a right-angled triangle's trigonometry:
(x = required distance)
cos 74 = x / 30
x = 30 cos 74
x = 8.269 ft
Therefore, 8.269 feet is the horizontal distance between the wall and the ladder's base.
Know more about distance here:
https://brainly.com/question/26550516
#SPJ1
kiran's Mother gets a resturant bill for $40. She has a coupon for 25% off. After the discount is applied, she adds 20% as a tip. What is the total after the discount and tip? Explain or show your reasoning.
Answer: $36
Step-by-step explanation:
Bill is $40, the 25% off coupon is used, and the 20% tip is left.
Step 1: Find 25% of 40
is/40=25/100 ------> 40(25)/100=10
Step 2: Find the new bill price after discount
40-10=30
Step 3: Find the 20% tip of 30
is/30=20/100 ---------> 30(20)/100=6
Step 4: Add the tip with the restaurant bill
30+6=$36
Can somebody help ASAP? I will give lots of points
Three-part question:
Answer:
A- NQ,
B- 24,
C- 14+10=24
Can exponential function have 1 as a base?
Yes, an exponential function can have 1 as a base.
An exponential function is a function of the form f(x) = a^x, where a is the base and x is the exponent. The base can be any real number, including 1.
When the base is 1, the exponential function is defined as f(x) = 1^x = 1 for any value of x. This function is a constant function that always equals 1.
It is important to note that when the base of an exponential function is less than 0, the domain of the function is all real numbers except for certain values of x.
Learn more about Exponent Functions here:
https://brainly.com/question/11464095
#SPJ4
Multiple Choice: Triangle ABC has been reduced to create triangle XYZ. By what ratio has it been reduced?
A
12
3/4
2/3
1/2
1.5
18
15
B
80
Y
XL
12
10
Answer:
2/3
Step-by-step explanation:
Choose any of the similar sides and set up the ratio, then reduce to the simplest fraction:
12/18 = 4/6 = 2/3
8/12 = 4/6 = 2/3
10/5 = 2/3
Challenge Emily and Andy each go to a hardware store to buy wire. The table shows the cost y in dollars for x of the wire they need. Emily needs 22 feet of wire. Andy needs 11 yards of the wire. How much will each of them spend on wire?? please answer quickly!!!
The amount of money each of them spends on the wire will be $23.76 and $35.64, respectively.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Challenge Emily and Andy to each go to a home improvement shop to purchase wire. The table shows the expense y in dollars for x of the wire they need.
y = kx
9 = 100k
k = 0.09
Then the question is given as,
y = 0.09 · x
Emily needs 22 feet of wire. Then the cost is given as,
y = 0.09 · (22 × 12)
y = $23.76
Andy needs 11 yards of the wire. Then the cost is given as,
y = 0.09 · (11 × 3 × 12)
y = $35.64
The amount of money each of them spends on the wire will be $23.76 and $35.64, respectively.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ1
The complete question is given below.
A car traveled a distance of 192 miles from New York go a small town in Pennsylvania in 3 hours. Find the speed of the car.
Answer: 64 miles per hour
Step-by-step explanation: 192 divided by 3= 64
please help ………………………
In the triangle below, with right angle I, suppose that m angle G = (4x-16)° and m angle H= (3x+15)°.
Find the degree measure of each angle in the triangle.
Therefore , the solution of the given problem of triangle comes out to be the measure of each angle is 36,54 and 90.
What is a triangle and some of its properties?A triangle is a three-sided polygon in geometry that has three edges and three vertices. The fact that the internal angles of a triangle add up to 180 degrees is the most crucial aspect of triangles. Angle sum property of a triangle is the name of this property.
Here,
Using the angle sum property of triangle,
90+4x-16+3x+15=180.( Since its a right angle triangle)
7x+89=180
7x=91
x=13
Therefore, ∠G=4X-16=36 and ∠H=3x+15=54.
Hence, the measure of each angle is triangle is 36,54 and 90.
Therefore , the solution of the given problem of triangle comes out to be the measure of each angle is 36,54 and 90.
To know more about the triangle, visit https://brainly.com/question/2773823
#SPJ1
1c. Find the volume of the child's toy shown below. Use 3.14 for pi . Round all answers to 1 decimal place.
Please help!!!
The volume of top solid is 1570cm³, the volume of bottom solid is 157cm³and the total volume of toy is 1727cm³.
What are solids?Solids or three-dimensional shapes are defined as any shape or figure with three dimensions or more. Solid geometry is the study of the characteristics, volume, and surface area of three-dimensional shapes.
The toy can be divided into two solids :
The top solid is a cone and the bottom solid is a cylinder.
The total volume of the toy can be found by adding the volumes of the cone and cylinder.
Volume of cone
Length of the cone l= 13cm
The radius of the base of the cone r = 5cm
Height of cone h = = 12cm
Volume of cone = = = 1570 cm³
Volume of cylinder
Radius r = 5cm
Height h = 2cm
Volume of cylinder = = 157cm³
Therefore the total volume of toy = 1570 + 157 = 1727 cm³
To know more about solids visit:
brainly.com/question/25727148
#SPJ1
At a local pizza shop customers pay a set price for a large pizza plus an additional per topping ordered. A large pizza with 2 toppings would cost $13. 50, and a large pizza with 5 toppings would cost $15. 75
The cost price of large pizza is $12 and that of toppings is 0.75.
An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values. For example, 3x + 5 = 15. There are different types of equations like linear, quadratic, cubic, etc.
In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
Let the cost of large pizza be x and that of toppings be y.
x + 2y = 13.50
x = 13.50 - 2y - (1)
x + 5y = 15.75 - (2)
substitute equation (1) in equation (2),
13.50 - 2y + 5y = 15.75
3y = 15.75 - 13.50
3y = 2.25
y = 2.25 / 3
y = 0.75
now, put the value of y = 0.75 in equation (1),
x = 13.50 - 2 × 0.75
x = 13.50 - 1.5
x = 12
Therefore, the cost price of large pizza is $12 and that of toppings is 0.75.
To learn more about equations visit : https://brainly.com/question/10413253
#SPJ4
Find the coordiantes of the vertices for the figure after the given transformation
Dilation of 2
Answer:
[tex]I'(-2,-4), J'(-4,4), K'(4,4)[/tex]
Step-by-step explanation:
Assuming the dilation is centered at the origin, it is known that for a dilation of scale factor [tex]k[/tex] centered at the origin, [tex](x,y) \to (kx,ky)[/tex].
Do sides 5 cm 12cm and 13cm form a right angled triangle give reason?
Yes, the mentioned sides of triangle will be right angles triangle because they follow Pythagoras theorem.
A right angled triangle is characterized by presence of hypotenuse, perpendicular and base. The sides of right angled triangle are related through Pythagoras theorem, which is -
Perpendicular² = Base² + Hypotenuse²
As we know that hypotenuse is the longest side of triangle, hence, will be the 13 cm.
So, keeping the values in formula -
13² = 5² + 12²
Taking square on both the sides of equation
169 = 25 + 144
Performing addition on Right Hand Side of the equation
169 = 169
Since, LHS is equal to RHS, hence, it is right angled triangle.
Learn more about Pythagoras theorem -
https://brainly.com/question/343682
#SPJ4
10. Use the given standard form equation below to calculate its y-intercept form. Fill in the blanks with the correct coefficient.
8x + 4y = 12
y=[ ]x+[ ]
The y intercept equation will be [tex]y=-2x+3[/tex] .A line's x-intercept and y-intercept are the points at which the x- and y-axes, respectively, are crossed.
How can a y-intercept be found?Finding the value of y at x=0 on a graph will reveal the y-intercept. The graph's intersection with the y-axis occurs at this location.
What is the value of the y-intercept?When a straight line is described by the equation "y = mx + b," the slope is the number "m" multiplied on the x, and the y-intercept is "b." (that is, the point where the line crosses the vertical y-axis).
To know more about intercept visit:-
brainly.com/question/14180189
#SPJ1
please help with my homework cant figure it out.
The figure is a regular polygon then the value of x is 21.
What is a regular polygon?
A regular polygon is a polygon that has all sides equal and each side subtends an equal interior angle at the center.
The sum of the interior angles of a polygon is
sum = 180° (n - 2)
n is the number of sides
Here n = 12, then
sum = 180° × 10 = 1800°
So the angle subtended by one side at the center is given as follows
Each of the 12 interior angles = 1800° ÷ 12 = 150
Then,
7x + 3 = 150
7x = 147
x = 21
Hence, If the figure is a regular polygon the value of x is 21.
To learn more about the regular polygon visit,
https://brainly.com/question/15809245
#SPJ1
Quadrilateral ABCD has the following angle measures: m∠A = ?°, m∠B = 97°, m∠C = 47°, m∠D = 90° What is m∠A?
Answer:
m<A is 126 degrees
Step-by-step explanation:
Assuming that the whole entire quadrilateral is 360 degrees, I can say that part A is 126 degrees.
i need help please with this problem
Answer:
Pleae see the attached graph.
Step-by-step explanation:
The values of x are graphed for their respective valid regions, as defined in the question.
oie Velasco: Attempt 1
Question 6 (1 point)
Increasing or Decreasing thermal Energy Causes Water to change States. (Lesso
1.02)
True
False
Question 7 (1 point)
Answer: It is True
Step-by-step explanation:
The increase in thermal energy allows molecules to decrease their density and escape the liquid state to become gas molecules.
Please help answer these for 30 points pls
Answer:
please name the chapter
Quadrilateral JKLM is shown.
Suppose quadrilateral J´K´L´M´ is a reflection of JKLM in the line y = x. The coordinates of M´ would be : (_,_)
Suppose quadrilateral J''K''L''M'' is a rotation of JKLM 90° counterclockwise about the origin. The coordinates of J'' would be : (_,_)
The coordinates of M´ would be : (4, 1) after reflection across the line y = x.
The coordinates of J'' would be : (3, -1) after counterclockwise about the origin.
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
The quadrilateral JKLM is shown in the given figure.
As per the given graph, we can see that
The coordinates of M would be : (4, 1)
Suppose quadrilateral J´K´L´M´ is a reflection of JKLM in the line y = x.
Then the coordinates of M´ would be : (4, 1)
The coordinates of J would be : (1, 3)
Suppose quadrilateral J''K''L''M'' is a rotation of JKLM 90° counterclockwise about the origin.
Under a counterclockwise rotation about the origin of 90 degrees
A coordinate ( x, y ) → ( y, - x ),
The coordinate J is (1, 3) and is translated using the rule
Then simply plug in the values of x and y which are x = 1 and y = 3
Thus (1, 3) → (3, -1)
Thus, the coordinates of J'' would be : (3, -1)
To learn more about the transformations click here :
https://brainly.com/question/28029674
#SPJ1
PLEASE HELP!!! I NEED HELP WITH MY HOMEWORK!!!!
(GEOMETRY)
WILL MARK BRAINLIEST!!!!
The right triangle in marked question number 3 have the value of u = 2 and v = √2 using the trigonometric ratio of sine and cosine of the angle 45°.
What are trigonometric ratiosThe trigonometric ratios involves the relationship of an angle of a right-angled triangle to ratios of two side lengths. Basic trigonometric ratios includes; sine cosine and tangent.
Considering the angle 45° for the right triangle, recall that sin 45° and cos 45° are generally both equal to √2/2
sin 45° = √2/u {opposite/hypotenuse}
√2/2 = √2/u
u = √2/√2 × 2 {cross multiplication}
u = 2
cos 45° = v/u {adjacent/hypotenuse}
√2/2 = v/2
v = 2/2 × √2
v = √2
Therefore, the value of u = 2 and that of n = 10, using the trigonometric ratio of sine and cosine of the angle 45° for the right triangle.
Know more about trigonometric ratios here: https://brainly.com/question/23130410
#SPJ1
Why is regression line line of best fit?
Due to its superior fit when drawn through the points, the regression line is occasionally referred to as the "line of best fit." It is a line that reduces the difference between the actual and anticipated scores.
What does regression line mean?
An estimated linear relationship between two variables, which is known as the real but unobserved linear relationship, is shown by a regression line.
A given value for the explanatory variable is used to predict (or estimate) the value of the response variable using the equation of the regression line.
What does the term "regression line" mean?
Regress, which is derived from the Latin verb "regressus" (to go back), is the root of the word "regression" (to something). Regression, in this sense, is a method that enables "going back" from muddled, difficult-to-interpret data to a more understandable and valuable model.
Learn more about The regression line
brainly.com/question/29753986
#SPJ4