All feasible ordered pairs of the elements of the original sets are produced by multiplying two sets.
The Cartesian product in SQL is a brand-new table created from two existing tables. The Cartesian product table will have three and four lines if the two tables have three and four lines, respectively. Every row from the first table so connects every row from the second table.
All feasible ordered pairs of the elements of the original sets are produced by multiplying two sets. The Cartesian product entails numerous computations, many of which are typically redundant. Therefore, we advise utilizing the qualifier operators for huge tables.
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Even out of 8 tudent urveyed own a bike. The difference between the number of tudent who own a bike and thoe who dont i 72. How many tudent were urveyed?
The number of students that were surveyed where 7 out 8 students own a bike is equal to 96.
Let the number of students surveyed be [tex]x[/tex] .
According to the question,
When 8 students were surveyed 7 owned a bike. So, when [tex]x[/tex] students were surveyed,
Number of students who own bikes = [tex]\frac{7}{8} x[/tex]
Number of students who don't own bike = [tex]\frac{1}{8} x[/tex]
In question, it is given that:
[tex]\frac{7}{8} x - \frac{1}{8}x = 72\\\\\frac{6}{8} x = 72\\\\6x = 576\\x= 96[/tex]
Hence, the number of students that were surveyed is 96.
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Based on the family the graph below belongs to, which equation could represent the graph?
y = 2 Superscript x Baseline 3
y = log (2 x) + 3
y = 2 x squared + 2
y = StartFraction 1 Over 2 x EndFraction + 2
The equation of the function shown in the provided graph is y = 1
(x+3)²
The parent function is f(x) = 1
x²
What is graph?Graph can be defined as a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things
How horizontal shifting of the graph takes place
If a function f(x) is shifted horizontally by k units the parent function f(x) becomes f(x+k) where k>0
Since the graph is shifted towards the negative x-axis by 3 units
So, the parent function f(x) will become f(x+3)
f(x)= 1
x²
f (x+3)= 1
(x+3)²
So, the equation of the function will be y = 1
(x+3)²
Therefore, The equation of the function shown in the provided graph is
y = 1
(x+3)²
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What are the 4 inverse operations in math?.
The four main inverse operations in math are addition, subtraction, multiplication, and division. These are the operations that reverse the effects of the operation.
When you use the word "inverse," you want to move backward in time or space. The Latin term "inversus," which means to turn inside out or upside down, is where the word's name originates. An inverse operation in mathematics is a procedure that reverses the effects of a preceding one.
Multiplication, division, subtraction, and addition are the four fundamental mathematical operations. Subtraction, and vice versa, are the opposites of addition. Division and vice versa are the opposites of multiplication.
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Please help ! ( see image !)
(-6 , -6 ) and ( -9 , - 5 )
Answer:
15
Step-by-step explanation:
(-6,-6)and (-9,-5) =15
Autumn is a teacher and takes home 83 papers to grade over the weekend. She can grade at a rate of 9 papers per hour. How many papers would Autumn have remaining to grade after working for 8 hours?
After working 8 hours and grading 9 papers per hour, it is expected Autumn has 11 papers left.
How many paper will Autumn be able to grade in 9 hours?To calculate the number of papers she can grade during this time, let's use the rate provided:
9 papers per hour x 8 = 72 papersThis means in 9 hours she can grade 72 papers.
How many papers will she have left?Now, let's calculate the number of papers left:
83-72 = 11Based on this, the total of papers left after working for 8 hours is 11 papers.
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Is △ ABC ≅ △ DEF explain?.
Yes, AB ≅ DE, EF ≅ DE, then AB ≅ EF. The property of congruence illustrated in the question is the transitive property.
The transitive property states that if A is congruent to B and B is congruent to C, then A is congruent to C. In other words, if two things are congruent to a third thing, they are also congruent to each other.
In the statement "If AB ≅ DE, EF ≅ DE, then AB ≅ EF," AB is congruent to DE, and EF is congruent to DE, so AB must also be congruent to EF according to the transitive property.
The other properties you listed are not applicable in this case. The symmetric property states that if A is congruent to B, then B is congruent to A. The reflexive property states that every object is congruent to itself. And multiplication is not a property of congruence.
--The given question is incorrect; the correct question is
"Is AB ≅ DE, EF ≅ DE then AB ≅ EF? explain"--
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What is 4 5 as an equivalent fraction?.
Equivalent 4/5 is equals to 20/25 in fractions.
In mathematics, equivalent fractions are those with the same denominator but different numerators. For instance, since they both equal 1, 2/4 and 3/6 are comparable fractions. An element of the whole is a fraction. To represent identical components of the total, equivalent fractions are utilized.
The numerator and denominator of each fraction can be multiplied by the same integer to determine the equivalent fraction. Equivalent fractions are those that, despite visible differences, signify the same value. For instance, if you take a piece of cake, divide it into two equal pieces, and then eat one of them, you will have consumed half of the cake.
= 4/5 ( multiply by 5/5)
= 4/5 * 5/5
= 20/25
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Correct Question:
What is 4/5 as an equivalent fraction?.
A business owner wants to have the front window of her store painted and is considering two
artists for the job. Britney has quoted a flat rate of $63 for the job. Quincy's quote is $8 per
hour, plus $47 to cover the cost of materials. Depending on how long it takes Quincy to paint
the window, these two could end up charging the same amount. How long would Quincy have
to take? How much would it cost?
If the job takes Quincy
hours, the cost would be $
with either artist.
It would take Lisa 3 hours to complete the painting as both Brennan and Lisa could end up charging the same amount of $63.
What is an hour?An hour is a unit of time that is traditionally calculated as 124 of a day and is scientifically estimated to last between 3,599 and 3,601 seconds, depending on how quickly the Earth rotates. There are 60 minutes in an hour and 24 hours in a day.
The concept of the hour was first developed in the ancient Near East as a flexible measurement of 1/12 of the night or day. Such seasonal, temporal, or uneven hours varied with latitude.
Equal or equinoctial hours were defined as 124 of the day, measured from noon to noon; the minor seasonal variations of this unit were eventually smoothed out by making it 124 of the mean solar day.
Flat rate quoted by Brennan = $63
Rate quoted by Lisa = $8 h + $47
The number of hours for Lisa to finish the painting = ($63 - $47)/$8
= 2 hours
The total cost that Lisa would charge is = ($8 x 2 + $47)
= $63
Thus, It would take Lisa 3 hours to complete the painting as both Brennan and Lisa could end up charging the same amount of $63.
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Please help I need answers asap please show your work. The 1st 2 pictures are the same questions and the last two pictures are the same questions.
Answer:
Step-by-step explanation:
1 st Q: answer is -2 (choice C)
2nd Q: answer is (8,1) (choice D)
The solution is where the 2 lines intersect
The perimeter of a quare mut be greater than 138 inche but le than 186 inche. Find the range of poible ide length that atify thee condition
The length of the side is greater than equal to 35 and less than equal to 46 such that the perimeter of square lies in the given range.
let the length of each side of square be x units
the perimeter of the square = x +x +x +x
=> 4x
so the boundation on the perimeter is given in the question
given:
138 < 4x < 186
138/4 < x < 186 /4
34.5 < x < 46.5
so the length of the side is greater than equal to 35 and less than equal to 46
The range of the possibel sides is [35 ,46]
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Find, correct to the nearest degree, the three angles of the triangle with the given vertices.
The three angles of the triangle can be found by using the formula for the sum of angles of a triangle, which is 180°. Then, the measure of angle A + angle B + angle C = 180°.
1. Using the sum of angles formula, angle A + angle B + angle C = 180°
2. Use the Law of Cosines to calculate the angle between two sides of the triangle.
3. Subtract the sum of those two angles from 180° to find the measure of the third angle.
The three angles of a triangle can be found using the sum of angles formula, which states that the sum of the angles of a triangle equals 180°. This means that angle A + angle B + angle C = 180°. To find the individual angles, we can use the Law of Cosines which states that c2 = a2 + b2 - 2ab cos C, where C is the angle between two sides of the triangle. This formula allows us to calculate the angle between two sides of the triangle. Once we have calculated the sum of the two angles, we can subtract this sum from 180° to find the measure of the third angle. For example, if the sum of the two angles is 120°, then the third angle would be 180° - 120° = 60°. This method allows us to find the three angles of the triangle with the given vertices.
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Please help me again
Answer:83
Step-by-step explanation: sum of the angles should be 180
44+53+x=180
x=180-97
x=83
Answer:
Step-by-step explanation:
The addition of three angles in a triangle is 180°.
Therefore, if we add all the angles, it's
180° = x + 53° +44 °
180° - ( 53°+44° ) = x
180°-97° = x
83 ° = x
Then the answer is obvious, it's 83°.
A Cylinder The lateral surface of a cylinder has an area of 824 m². The cylinder has a height of 40 m. a) Determine the circumference of the cylinder's circular face.
The circumference of cylinder's circular face is 20.09 pi units.
What is circumference?The cylinder's lateral surface area is equal to the circumference of the circular base multiplied by the height. A circle's circumference is 2r and its height is h, so the lateral area is 2rh.
That is LSA = 2 × π × r × h where, r = base radius, and h = height of the cylinder.
Here given,
LSA = 824m²
Height = 40 m
By substituting
824 = 2 x 3.14 x r x 40
824 / 2 x 3.14 x 40 = r
r = 3.2m
Circumference of circular face = 2 π r
By substituting the values,
Circumference = 2 x 3.14 x 3.2
Circumference = 20.09 pi units.
Therefore the circumference of a cylinder with circular face is 20.09 pi units.
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A school is arranging a field trip to the zoo. The school spends 633.85 dollars on passes for 31 students and 4 teachers. The school also spends 300.08 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?
Total money spent on a pass and lunch for each student = $29.9
What is a field trip?A field trip is a journey by a group of people to a place away from their normal environment.
Given :
School spends $633.85 on passes for 31 students and 4 teachers.
School spends $300.08 on lunch for 31 students.
Calculation :
School spends on a pass for each student,
633.85
35
=20.22$
School spends on a lunch for each student,
300.08
31
=9.68$
Therefore, total money spent on a pass and lunch for each student
20.22 + 9.68
= $29.9
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What is the equation of the exponential graph below?
Answer: C: y=6×6^x
Step-by-step explanation:
Hope this helps! Good luck!
What is the mirror image of 4 5?.
The mirror image of (4,5) is (4,-5) or (-4,5)
The term mirror image in math is defined as a reflected duplication that appears identical but in reverse.
Here we need to find the mirror image of (4,5).
As we all know that the rule used here is written as the image of (x, y) in the y-axis is (–x, y).
Then according rule here the given that the mirror image of (4,5) along x axis is written as (4,-5).
Then as per the point lies in fourth quadrant.
Then the another form of the mirror image of ( 4,5) along y axis is written as (-4,5) and then the point lies in second quadrant.
Complete Question:
What is the mirror image of the coordinate (4,5)?
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Why is it called binomial?.
A binomial is an algebraic expression containing two different terms connected by addition or subtraction.
An algebraic expression containing only two terms is called a binomial expression. This is called a binomial polynomial. Also called the sum or difference of two or more monomials. This is the simplest form of polynomial. Binomials are classified into algebraic expressions based on the number of terms they contain, along with monomials, trinomials, quaternions, etc. In other words, two different monomials of different degrees connected by a plus or minus sign form a binomial. For example, consider two monomials 2x and 5x¹⁰. Adding these monomials gives the binomial given by 2x + 5x¹⁰.
2) For example, 2xy + 7y is binomial because it has two terms.
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my mother purchased 8 pepsi products at Bi-Lo for $14.00 what is the price per product
Answer:
$1.75
Step-by-step explanation:
We take
14 / 8 = $1.75
So, one product cost $1.75
How do you calculate the value of 144?.
We can calculate it by using a long multiplication method where you multiply every digit of 12 by 12. 144 = 1 x 12 + 4 x 1 = 12 + 4 = 16. So, the value of 144 is 16
Calculating the value of 144 is a simple mathematical operation that can be done in several ways. The most straightforward method is to multiply 12 by 12, as 144 = 12 x 12. Another way to calculate the value of 144 is to find the square of 12, as 144 = 12^2. An alternative method is to use long multiplication where you multiply every digit of 12 by 12. The result of this will be 144 = 1 x 12 + 4 x 1 = 12 + 4 = 16.
In summary, the value of 144 is 16, regardless of the method you choose to calculate it. It is a well-known fact and can be easily looked up in mathematical tables as well.
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solve the system of equations using the substitution method.
x+4y=44
-3x+4y=12
Answer:
x = 8, y = 9
Step-by-step explanation:Solve for X:-3x + 44 - x = 12
-3x - x = 12 - 44
-4x = -32
x = 8
Solve for Y:-3(8) + 4y = 12
-24 + 4y = 12
4y = 12 + 24
4y = 36
y = 9
Which rational function has a horizontal asymptote of y=0?
y = [tex]\dfrac{ x + 8}{x^2 + 3x + 2}[/tex] is the rational function that has a horizontal asymptote of y = 0.
What is rational function?When the denominator of a polynomial has a degree of at least 1, it is said to be a rational function. Or to put it another way, the denominator must contain a variable.
When p(x) and q(x) are polynomials and q(x) ≠ 0, the general form of a rational function is p(x)/q(x).
Asymptotes are lines that the function graph approaches but never crosses. Both the x and y axes are asymptotes in the parent function f(x)=1x. The parent function's graph will approach the asymptotes steadily but never actually touch them.
If the degree of the denominator > degree of the numerator, there is a horizontal asymptote at y = 0.
Here, only y = [tex]\dfrac{ x + 8}{x^2 + 3x + 2}[/tex] has the degree of the denominator > degree of the numerator.
Thus, y = [tex]\dfrac{ x + 8}{x^2 + 3x + 2}[/tex] is the rational function that has a horizontal asymptote of y = 0.
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What is the slope for 3x y =- 3?.
After solving, the slope of equation 3x + y = -3 is -3.
In the given question, we have to find the slope for 3x + y = -3.
The given equation is 3x + y = -3.
The general equation of line is y = mx + c, where m = slope of line and c is the y-intercept of line.
To find the slope we have to convert the given equation in the form of general equation.
To convert in general form we have to isolate the y.
3x + y = -3
Subtract 3x on both side, we get
y = -3x - 3
Now comparing with y = mx + c, we get
m = -3
Hence, the slope of equation 3x + y = -3 is -3.
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The complete question is:
What is the slope for 3x + y = -3?
Evaluate 1/2x4 -3/4 x2 for x = 2.
O -1 1/4
O 5 3/4
O-2
O 5
The value of the equation on x = 2 is 5. Thus, Option D is the correct answer.
Given Quadratic equation,
[tex]=\frac{1}{2} x^{4} - \frac{3}{4}x^{2}[/tex]
Put the value of x = 2 in the above equation and we get
[tex]=\frac{1}{2} x^{4} - \frac{3}{4}x^{2}[/tex]
[tex]=\frac{1}{2}* 2^{4} - \frac{3}{4}*2^{2}[/tex]
= 8 - 3
= 5
Therefore, the value of the equation on x = 2 is 5.
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The equation m pace equal pace 40 g give the ditance in mile, m, that a car can travel uing g gallon of ga. If the car ha gone 140 mile, how much ga wa ued?
Gallons of gas used 40 gallons.
The given equation, m = pace / 40g, represents the distance in miles (m) that a car can travel using a certain number of gallons (g) of gas. The variable "pace" represents the miles per gallon (mpg) of the car. To find the number of gallons used, we need to solve for g in the equation.
Here are the key steps:
First, we can rearrange the equation to find the mpg: mpg = pace/g.Next, we can substitute the given information, that the car has gone 140 miles, into the equation: 140 miles = pace/g.To find the number of gallons used, we can divide both sides of the equation by pace: g = 140 miles/pace.The value of pace is not given but we know that m = pace / 40g. So we can use this information to find the value of pace.We can substitute the value of m = 140 miles into m = pace / 40g, to find the value of pace.Now we can substitute the value of pace into the equation g = 140 miles/pace.Finally, we can solve for g and we get the answer that the car used 40 gallons of gas.
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will give brainliest and 50 points if u get this right
The slope of this line is m = 1.
An equation of this line is y = x.
How to calculate the slope of a line?In Mathematics, the slope of any straight line can be determined by using this mathematical equation;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Based on the information provided, we can logically deduce the following data points on the line:
Points on x-axis = (0, 1).Points on y-axis = (0, 1).Substituting the given data points into the slope formula, we have the following;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (1 - 0)/(1 - 0)
Slope (m) = 1/1
Slope (m) = 1
At data point (1, 1), an equation of this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y represents the data points.y - 1 = 1(x - 1)
y = x - 1 + 1
y = x
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The table of values shows a linear relationship between x and y. Column x, negative 7, negative 2, 3, 8. Column y, 9, 1, negative 7, negative 15 what is the slope of the line represented by the table of values?.
The slope of the line is a measure of the rate of change between two points and is calculated by dividing the change in y-values by the change in x-values. In this case, the slope is -6, which means that for every 1 unit increase in x, there is a 6 unit decrease in y.
The slope of the line is a measure of the rate of change between two points. It is calculated by dividing the change in y-values by the change in x-values. To find the slope of the line represented by the table of values, we need to first identify two points on the line. We will use the points (x1, y1) and
(x2, y2).
We can choose any two points, but for this example, we will use
(x1, y1) = (-7, 9) and (x2, y2) = (8, -15).
The slope of the line is then calculated by finding the difference between the y-values
(y2 - y1 = -15 - 9 = -24)
and the difference between the x-values
(x2 - x1 = 8 - (-7) = 15)
and dividing these two values:
-24/15 = -6.
This means that for every 1 unit increase in x, there is a 6 unit decrease in y.
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Can someone help? Stuck on it
Step-by-step explanation:
(6×(-4) - 1 )/ 4=-24-1/4= -25/4= -6.2
you are skiing on a mountain with an altitude of 12 meters. the angle of depression is 21 degrees. about how far do you ski down the mountain
When you are skiing on a mountain with an altitude 12 meters and angle of depression is 21 degrees then you will ski down for a distance of 31.57 meters.
Solution:
Here we have ,
Height i.e altitude of mountain (h) = 12 meters
Angle of depression (∅) =21°
And let the distance coverd be (b)
Using theorm of trigonometery,
tan∅ = [tex]\frac{height}{base}[/tex]
= [tex]\frac{12}{b}[/tex]
Therefore,
tan(21°) = [tex]\frac{12}{b}[/tex]
b = [tex]\frac{12}{tan(21)}[/tex]
b = [tex]\frac{12}{0.38}[/tex]
b = 31.57 meters
Hence ,
You will ski down 31.57 meters.
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Help is very much appreciated need this by tmr.
A triangle has vertices A (2,-3), B (-2,1) and C (1,2). Find the midpoint of the side AB.
Step-by-step explanation:
let the mid point be (x, y)
x= (-2-2)/2; y=(1-(-3))/2
please comletd the rest by yourself
Answer: I believe the midpoint of the side AB would be (0.3,0)
Step-by-step explanation:
I hope that helps!
