There are four types of division are:
DividendDivisorQuotientRemainderNow, According to the question:
Division is one of the four basic math operations with addition, subtraction, and multiplication. Division is an important operation because it is common in everyday life and helps people understand multiplication better. Division is splitting a group into equal parts. Division is used to split up a class into equal groups for a game or activity or even split a pizza into equal portions between a group of friends.
Dividend: The dividend is the number that is being divided in the division process. Divisor: The number by which the dividend is being divided by is called the divisor. Quotient: The quotient is a result obtained in the division process. Remainder: Sometimes, we cannot divide things exactly.
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write an equivalent expression for 4x + 9 + 3y + 3x + 4
The equivalent expression for 4x + 9 + 3y + 3x + 4 is 7x + 3y + 13.
What is a good example of an equivalent expression?
Example Expressions Expressions That Are Equivalent Equivalent
Because both expressions have the same value for any value of x, 3(x + 2) and 3x + 6 are identical expressions. 3x + 6 = 3 × 4 + 6 = 18.
To write an equivalent expression, we can simplify the expression by combining like terms:
4x + 3x = 7x
9 + 4 = 13
So, the equivalent expression for 4x + 9 + 3y + 3x + 4 is 7x + 3y + 13.
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Zahara Smith i wondering how he can make her check tretch enough to afford her monthly cable, water, grocery, and cell phone bill. Zahara i concerned with
need. Limit. Need and want. Want and limit
Answer: Sam here it
Step-by-step explanation:
(Let R, denotes the reflection on y-axis and R2 denotes a rotation of 90° about the center O(0.0), then for any point A(3. 4). find RR, (A).)
The solution of RR(A) is (-3, -4).
What is the reflection and rotation on a point? Reflection and rotation are two types of transformations that can be applied to a point. Reflection is when a point is mirrored across a line of symmetry. The line of symmetry acts as a mirror and the point is flipped across it. This produces a reflection in which the point is now at the exact opposite side of the line of symmetry. Rotation is when a point is spun around a fixed axis. The point can be rotated in either a clockwise or counter-clockwise direction. When the point is rotated, it is still in the same location, only rotated around the axis. Both of these transformations can be used to move a point in a certain direction or to change the shape of an object. Reflections and rotations can be used to create symmetry in a shape or to move a point to a different location. They are both useful transformations that can be used to manipulate the position or shape of an object.To learn more about reflection on y-axis refer to:
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Each statement describes a transformation of the graph of f(x)=x^3. Which statement correctly describes the graph of y= f(x+3)-9
The graph of f(x) translated 3 units down.
correct option is D.
What is a graph of a function?
The graph of a function is a visual representation of the function that shows the relationship between the input (x) and output (y) values. It is typically plotted on a coordinate plane, with the x-axis representing the input values and the y-axis representing the output values. Each point on the graph corresponds to an (x, y) pair that satisfies the equation of the function.
The given options are:
A. It is the graph of f(x) translated 3 units up.
B. It is the graph of f(x) translated 3 units to the right.
C. It is the graph of f(x) where the slope is decreased by 3.
D. It is the graph of f(x) translated 3 units down.
Let y = f(x) then f(x)-3 means y-3. Subtracting 3 from the y coordinate of each point will move the entire curve down 3 units.
Thus, the graph of f(x) translated 3 units down.
correct option is D.
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It takes 1200 workers 8 years to build 3 ziggurats. How many years would it take 1600 workers to build 25 ziggurats? (Assume all workers work at the same constant rate.) You can solve this problem without knowing what a ziggurat is!
The number for years that it would take 1600 workers to build 25 ziggurats is 66.67 years.
How to calculate the number of years?To find out how many years it would take 1600 workers to build 25 ziggurats, you can use the formula:
(time taken by 1200 workers to build 3 ziggurats) x (1600 workers / 1200 workers) x (25 ziggurats / 3 ziggurats) = time taken by 1600 workers to build 25 ziggurats
Plugging in the given values:
(8 years) x (1600 / 1200) x (25 / 3) = 8 years x (4/3) x (25/3)
= 8*25/3
= 200/3
= 66.67 years
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I really need help like tonight
Answer:
Angle 1- 36
Angle 2- 90
Angle 3- 54
Angle 4- 36
Angle 5- 90
Angle 6- 54
Angle 7- 128
Angle 8- 54
Angle 9- 128
Angle 10- 54
Angle 11- 36
Angle 12- 144
Angle 13- 36
Angle 14- 144
please help this is due today!!!!
The unit rate for the speed of the snail is 4/3 cm/s
What is unit rate?A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
Given is a graph of distance vs time for the speed of a snail,
We need to find, unit rate for the speed of the snail by the given graph,
Since, we are given a coordinate (12, 16) therefore, the snail covers a distance of 16 cm in 12 sec,
Therefore, in 1 sec, it will cover = 16 / 12 = 4/3 cm/s
Hence, the unit rate for the speed of the snail is 4/3 cm/s
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In a right angled triangle, the lenght of the right angle is 11 and the lenght of the other two sides are positive integers. what is the perimeter of the triangle?
Answer:
66
Step-by-step explanation:
2m = 11
m = 11/2
m = 5.5
m² - 1 = 29.25
m² + 1 = 31.25
The perimeter = 29.25+31.25+5.5 = 66
Charlotte has some number cards that each
have a whole number on them.
If she chooses a card at random, the
probability that the number on it is even is 4/9
Work out the ratio of even cards to odd cards
that Charlotte has.
Give your answer in its simplest form.
When a die is thrown, getting an even number, The probability of getting an even number when a die is thrown is 1/2.
How do you find the probability of even?Some number cards with a whole number on each are in Charlotte's possession. There is a 4/9 chance that the card she chooses at random will have an even number on it.
Charlotte's balance of even to odd cards. Your response should be as brief as possible. Three out of six, or three-sixths, of a die will provide an even number.
As both the numerator and denominator of this fraction can be divided by three, it can be simplified. A definition of an even number An even integer is one that can be divided by two while leaving a 0 as the final digit. Two, four, six, eight, ten, and other even numbers are examples. The first and present definitions are equivalent.
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A gymnast joined a yoga studio to improve his flexibility and balance. He pays a monthly fee and a fee per class he attends. The equation y = 30 + 10x represents the amount the gymnast pays for his membership to the yoga studio per month for a certain number of classes.
Which graph represents this situation?
For the above case, the graph of the linear equation y = 20 + 10x
Which graph represents this situation?Each solution inside the scenario involving two variables may be thought of as the Cartesian coordinates of a specific point on the Euclidean plane.The answers to a linear equation create a line inside the Euclidean plane, and each line may be considered as the sum of all solutions to a linear model with two variables.
This is how this type of equation became known as “linear.” The solutions to an equation system with integer variables form a hyperplane in Euclidean space with size n (a subdomain of dimension n1).
Because linear equations typically properly reflect nonlinear systems, they are widely employed in all fields.
Mathematics as well as in physics and engineering.
Here the equation is given as y = 20 + 10x
Therefore at x = 0 , y = 20 and at y = 0, x = -2
This represents that the fixed monthly fee is 20 and the daily fee is 10.
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What is product of division?.
The number being divided is known as the dividend, the number dividing it is known as the divisor, and the result of the division is known as the quotient.
Factors are the numbers that are being multiplied, and the result of the multiplication is known as the product. Dividend, divisor, and quotient are the terms used to describe the three numbers involved in division: the dividend, the divisor, and the result of the division, the quotient.
The arithmetic procedures of multiplication and division are related and developed from commonplace situations. Multiplication is the same as repeated addition for whole numbers, hence repeated addition exercises are frequently used to teach multiplication.
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[tex]y=kx[/tex]
If [tex]y=42[/tex] when [tex]x=70[/tex], what is the value of K?
Give any decimal answers to 1 d.p
Answer:
k=0.6
Step-by-step explanation:
y=kx
42=k(70)
42=70k
k=0.6
write the word sentence as an inequality
A number b multiplied by is at most -3 2/3
Please help,
thank you,
An inequality is b > -3 The symbol > represents "greater than OR equal to".
What is inequality ?The occurrence of an unequal and/or unequal distribution of opportunities and resources among the people that make up a society is referred to as inequality. To different individuals and in various settings, the word "inequality" may indicate different things.B cannot be less than -3, but it can be more than, as it must be at least -3. The greater than sign derives from this. The inequality in word form would be that B is bigger than or equal to -3 since the lowest number you may have is -3 (the number itself still counts).An inequality is b > -3 The symbol > represents "greater than OR equal to".To learn more about inequality refer to:
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Choose whether each function represents exponential growth or exponential decay.
The correct statements are given below.
What Is Exponential Growth And Decay?Exponential growth and decay apply to quantities which change rapidly. Exponential growth and decay have been derived from the concept of geometric progression. Quantities that do not change as constant but change in an exponential manner can be termed as having an exponential growth or exponential decay.
Given here:
Now we know For exponential growth, the value of b is greater than 1 (b > 1), and for exponential decay, the value of b is lesser than 1 (b < 1), where b is the growth factor and Exponential Growth f(x) = abˣ and Exponential Decay f(x) = ab⁻ˣ
1) f(x)=3×4ˣ
Clearly b=4>1
Thus the function represents exponential growth.
2) f(x)=4×(1/4)ˣ
Here b=1/4<1
∴ The function represents exponential decay.
3) f(x)=2×(1/2)ˣ
Again here the growth factor is b=1/2<1 , thus the function represents exponential decay.
Similarly for equation 4 we have b=12>1 and thus the function represents
exponential growth.
Hence, equation 1 and 4 represent exponential growth and equations 2 &3 represent exponential decay.
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Is 4 is a perfect number?.
4 is not a perfect number because the sum of its factors (besides 4 itself), 1+2, is less than 4. Numbers like 4 are known as deficient numbers.
In number theory, a natural number is called deficient if it is greater than the sum of its divisors, excluding itself. For example, the number 8 is deficient because its divisors are 1, 2, and 4, and 1 + 2 + 4 = 7, which is less than 8. A number that is not deficient is called abundant.
The concept of deficient numbers was first studied by the ancient Greek mathematician Nicomachus of Gerasa in his work "Introduction to Arithmetic". He classified numbers into three categories: abundant, perfect, and deficient numbers. He defined a perfect number as a number whose divisors (excluding the number itself) sum up to the number and abundant if the sum of divisors (excluding the number itself) is greater than the number.
The study of deficient numbers is closely related to the study of divisors of numbers, which is a fundamental area of number theory. The study of deficient numbers also has connections to other areas of mathematics such as algebraic number theory and the theory of quadratic forms. In addition, the study of deficient numbers has applications in computer science and cryptography.
It is important to note that only a small percentage of numbers are deficient, and the study of deficient numbers is not as widely studied as the study of prime numbers or perfect numbers, but it is still an interesting area of research in number theory.
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How do you solve a system of linear equations by multiplying and adding?.
The graphing method is used to solve a system of linear equations by multiplying and adding.
When the solution has integer values and the variable coefficients are small, graphing is effective. When we can quickly solve one equation for one of the variables and the resulting expression doesn't contain a lot of fractions, substitution works well. The Elimination Method is the third strategy for resolving linear equation systems. An elimination method is a different approach for resolving a set of linear equations. Here, in order to get the value of the other variable by having the "x" variable term or the "y" variable term cancel out, we try to multiply either the "x" variable term or the "y" variable term by a fixed amount. When a variable has a power of 1 higher than any other, the equation is said to be linear. a straightTo learn more about linear equations here
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The equation of a circle is (x-10)^2+(y-8)^2=256
What is the center of the circle?
equation of circle : (x - h)² + (y - k)² = r²
h = x coordinate of center
k = y coordinate of center
hence h = 10, k = 8
center - (10 , 8)
(5c³) - (2c⁵) = ?
please help
Answer:
[tex](5-2c^{2}) c^{3}[/tex]
Step-by-step explanation:
Factor out [tex]c^{3}[/tex]
[tex](5-2c^{2})[/tex] is not factored since it does not have any rational roots.
Why do 3 points define a plane?.
Three points can define a plane in a three-dimensional space.
Because a plane can be defined as a flat surface that extends infinitely in all directions, three points in space are sufficient to specify a plane. A plane can be determined by any three non-collinear points, i.e., points that are not on the same straight line, as long as they are not on the same line. Imagine three points in space, A, B, and C. We draw straight lines from A to C to create a plane. The triangle formed by these lines is a flat surface. A plane can be made by endlessly extending the flat surface in all directions.
The triangle formed by the three points A, B, and C, which are not collinear, extends in all directions to form a plane. A plane is therefore defined by three points. It's crucial to remember that any new point that lies on the same plane as A, B, and C will also be connected to the three defining points by the same straight line.
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How do you find the inverse of a linear graph?.
The inverse of the linear graph can be found by interchanging the values of x and y
When a function is stated in the form y = mx + b, where m and b are real integers and m is not equal to 0, the function is said to be linear. A linear graph is the graph of a linear function. The inverse of a linear graph can be found in two steps -
The first step is to replace the value of y with x and x with y in the original equation of the linear function.The second step is to solve the equation for x in terms of y, which will give the inverse function.For example, if the linear function equation is y = 3x + s, the inverse function can be found by swapping x and y, and solving the equation for x: y = 3x + 2 and x = 3y + 2. Alternatively, the inverse function can also be determined by interchanging x and y values and changing the sign of the slope of the original function. Therefore, the inverse function of y = 3x + 2 is x = (2/3)y - 2/3
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help me with this topic pls i need to finish 15 topics and i olny have 6 done :')
The amount of water in the tank at 0 minutes is equal to 150 liters.
As time increases, the amount of water in the tank increases by 100 liters per minute.
How to determine the amount of water in the tank at 0 minutes?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the data points.Next, we would determine the linear equation representing the line which passes through the points (0, 150) and (2, 350) by using the point-slope form as follows:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 150 = (350 - 150)/(2 - 0)(x - 0)
y - 150 = 100(x - 0)
y = 100x + 150
When x = 0 minutes, the amount of water in the tank is given by;
y = 100(0) + 150
y = 150 liters.
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How to add two rational expressions with different denominators?.
Find the lowest common denominator before adding rational expressions. It is obvious that this is the common denominator because the denominator of the first fraction factors to 2(x+2).
Least Common Denominator (LCD): The smallest expression that is divisible by the original denominators is known as the LCD of two or more rational expressions. We need to locate all the denominators of our rational expressions in order to find the LCD.The addition and subtraction of rational expressions resembles those of fractions. Remember that if the denominators are the same, we can add or subtract the numerators and then write the result over the shared denominator. When dealing with rational expressions, a polynomial will serve as the common denominator.To learn more about Rational expression here
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If you were to graph the inequality would the arrow point to the left or right? x<17
The arrow point to the left for the inequality x < 17.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Given that inequality is x < 17. When the inequality is plotted on the graph it will highlight the values that are less than the number 17. The graph of the inequality is attached with the answer below.
Hence, the arrow for the given inequality will point to the left side.
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When constructing a perpendicular bisector of a segment, why should you make arcs with the same radius from each endpoint? select the true statement.
Arcs with the same radius from each endpoint will help you locate the midpoint of the segment more accurately.
When constructing a perpendicular bisector of a segment, it is important to make arcs with the same radius from each endpoint. This will help you to locate the midpoint of the segment more accurately. By using arcs of the same radius, you can ensure that the bisector is perfectly perpendicular to the segment. When the two arcs intersect, the midpoint of the segment will be the point of intersection. This will also ensure that the bisector is exactly in the middle of the segment, as the two arcs with the same radius will be of equal length. By constructing arcs with the same radius, you can achieve a precise and accurate perpendicular bisector of the segment.
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How do you find the domain and range of an absolute value graph?.
First of all, we will need to find the set of values of x for which we will get the possible value of y. This is comprehended as the domain of a function. Secondly, to find the range, we need to find all the possible values of y, which we will get after putting the values of x.
Now, to find the domain:-
Case 1: If the equation doesn’t have a denominator, then the domain will be (−∞,∞).
Case 2: If the equation has a denominator, then the domain will be all values other than those where the denominator will become 0.
Case 2: If the equation has a root in the denominator, the domain will be all values except the ones where the value is inside root<0.
To find the range:-
Case 1: If the equation doesn’t have a denominator, the range will be [0,∞). This is because whenever the value of y tends to be negative, the modulus sign will make it positive.
Case 2: If the equation has a denominator, then the range will be all values above 0 except the points where the denominator is equal to 0.
Case 3: If the equation has a root in the denominator, the domain will be all values more than 0 except the ones where the value is inside root<0.
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Find a bae and exponent form for the following number without uing the exponent 1
The exponent form of 1,000,000 is [tex]10^{6}[/tex] and the base of 1,000,000 is 10.
The term 'power' in mathematics refers to increasing a base number to its exponent. It signifies the "base number" and "exponent" as the two fundamental elements of powers.
The exponent represents the number of times the base number is multiplied, whereas the base number is defined as a number multiplied by itself. We can see exponent terms in many scientific notations to denote the large numbers as the powers of 10.
In a nutshell, power is a number expressed using exponents. It means that the same factor is multiplied multiple times.
Thus, The exponent form of 1,000,000 is [tex]10^{6}[/tex] and the base of 1,000,000 is 10.
Complete question: Find a base and exponent form for the following number without using the exponent 1,000,000.
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The base number is described as a number multiplied by itself, whereas the exponent shows how many times the base number has been multiplied. Many scientific notations use exponent terms to identify large values as powers of 10.
In a nutshell, a power is an exponentiated integer. It denotes numerous times of multiplying the same factor.
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.
The midpoint of side AB is (0,-1)
How to find the midpoint of the Triangle?
To find the midpoint of a line segment, you need to find the average of the x-coordinates and the average of the y-coordinates of the two endpoints of the segment.
To find the midpoint of a line segment, you need to find the average of the x-coordinates and the average of the y-coordinates of the two endpoints of the segment.
The midpoint of side AB can be found using the coordinates of points A and B:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
Midpoint = ((2 -2)/2, (-3+1)/2)
Midpoint = (0,-1)
Hence, the midpoint of side AB is (0,-1)
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In the triangle below, m/A = x°, m/B = 3x°, m/C= 24°. Find the value of mA =?
29°
39°
36.5°
O 41.5°
Answer:
39°
Step-by-step explanation:
Basically, what you have to do is x+3x+24°=180° (since the measures of all sides inside all triangles is 180°). 4x+24°=180°. 4x=156°. x=39°.
In two or more complete sentences, explain how to solve the cube root equation, x + 1 3 − 2 = 0 .
The value of x is 7 in the equation ∛x+1 - 2 =0
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is ∛x+1 - 2 =0
The first step is to figure out what the equation is. When unconventional math symbols are used, and when there are no grouping symbols identifying operands, that can be the most difficult step
∛x+1 - 2 =0
Add 2 on both the sides
∛x+1 = 2
Take cube on both the sides
x+1=2³
x+1=8
Subtract 1 from both sides
x=7
Hence, the value of x is 7 in the equation ∛x+1 - 2 =0
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What are some of the reasons why our bags would differ from the expected distribution?
The reasons why our bags would differ from the expected distribution are sampling error, measurement error, selection bias, quality control issues, human error, environmental factors and external factors
Reasons why our bags would differ from the expected distribution?There are several reasons why the distribution of bags might differ from the expected distribution. Some possible causes include:
1. Sampling error: If the sample size of bags is small, the distribution of bags may not accurately reflect the overall population.
2. Measurement error: If the bags were not measured or counted correctly, the distribution may be affected.
3. Selection bias: If the bags were not selected randomly or if certain bags were excluded from the sample, the distribution may not reflect the true population.
4. Quality control issues: If there were issues with the production of the bags, such as variations in size or weight, the distribution may be affected.
5. Human error: If mistakes were made in the handling, counting, or measuring of the bags, the distribution may not be accurate.
6. Environmental factors: External factors, such as temperature, humidity, or transportation, could cause changes in the weight of bags.
7. External factors: The distribution could also differ because of external factors such as competition, marketing, seasonality, etc.
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