The rational numbers ordered from smallest to largest are given as follows:
-3², -3, sqrt(3), 4, 5, 2³.
What are rational numbers?Rational numbers are numbers that can be represented by fractions, such as integers and terminating or repeating decimals.
They are ordered as follows:
negative infinity, ..., -5, ..., -3, ..., 0, ..., 3, ..., 5, ..., positive infinity.
That is, large negative are the smallest, and large positives are the greatest.
For this problem, the numbers are given as follows:
4.sqrt(9) = 3.-3.5.-3² = -9(as it is not inside the parenthesis, only 3 is squared and the negative sign stays).2³ = 8.Hence the ordering, from least to greatest, of the numbers is given as follows:
-3², -3, sqrt(3), 4, 5, 2³.
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Suppose that a function pairs elements from set A with elements from set B . Recall that a function is called onto if every element in B is paired with at least one element in A .
c. For the domain, is the function onto the set of nonnegative real numbers? Explain.
If a function is onto, then its domain can be a set of all non negative real numbers if the function is defined as y = √ x.
It is not necessary that function that is onto should have the domain as non negative real numbers only.
It can also have negative real numbers in its domain.
If the function is of the form:
y = √ x
Then the function will have a domain that is non negative real numbers.
But if function is of the form:
y = x²
Then it can have the domain as all real numbers.
Therefore, we get that, if a function is onto, then its domain can be a set of all non negative real numbers if the function is defined as y = √ x.
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WILL GIVE BRAINLIST!
Describe and correct the error in solving the equation.
Answer:
Step-by-step explanation:
In order to cancel the coefficient of P you have to divide both sides by the coefficient not add the coefficient to both sides.
-2/3p = 4
-2/3p / -2/3 = 4 / -2/3 (Multiply both sides by -2/3 to isolate p)
p = 4 / 2/3 ([tex]\frac{4}{1} (-\frac{2}{3} ) = -\frac{8}{3}[/tex])(keep change reciprocate)
p = -8/3
Write each expression in simplest form. (x²/x⁻¹¹)¹/₃
The result of simplifying the expression (x²/x⁻¹¹)¹/₃ using the exponent rules is [tex]\sqrt[3]{}[/tex](x¹³)
To solve this exercise we have to resolve algebraic operations following the exponent rules.
(x²/x⁻¹¹)¹/₃
Using the quotient rule that indicates that: the exponent result will be the subtraction of these exponents, we have:
(x⁽²⁻⁽⁻¹¹⁾)¹/₃
(x⁽²⁺¹¹⁾)¹/₃
(x¹³)¹/₃
Using the power of a power rule that indicates that: the exponent result will be the multiplication of these powers, we have:
x⁽¹³*¹/₃⁾
x⁽¹³/₃⁾
As we have a fractional exponent, you must convert the exponent to root:
[tex]\sqrt[3]{}[/tex](x¹³)
What is an exponent?In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.
Example: 3² = 3*3 = 9
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If z=30 when x=3 and y=2 , write the function that models the relationship.
z varies inversely with the product of x and y .
The required function following the given conditions is z = 180 / (x × y).
What is a function?
A function is defined as an expression or rule that specifies the relationship between two variables or objects, out of which one is dependent and the other is an independent variable. The image of each and every element is unique.
Writing the function satisfying the given conditions
Given, x = 3, y = 2, z = 30
Let the function satisfying the given conditions be z = k / (x.y) —--- 1
Putting all the values, we get,
k = 3 × 2 × 30
= 180
Using the value of k in equation 1, we have,
z = 180 / (x × y)
Hence, the required function is z = 180 / (x × y).
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Factor each expression.
4 x²+17 x+15
After solving, the factors of equation 4x²+17x+15 are:
(x+3) and (4x+5)What clearly is an equation?An equation is a mathematical statement composed of two representations joined by an equal sign.An example of an equation is 3x - 5 = 16.After solving this equation, we obtain the value for the variable x as x = 7.So,
Given the equation: 4x²+17x+15
Then,
4x²+17x+154x²+x( + )+154x²+x(12+5)+154x²+12x+5x+154x(x+3)+5(x+3)Factors are: (x+3) and (4x+5)
Therefore, after solving, the factors of equation 4x²+17x+15 are:
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Which is an equivalent expression for this please
help me
In your own words explain the vision statement for vision 2030
list the four main goal of vision 2030
The goals of the vision statement for vision 2030 include:
a vibrant society, a thriving economy an ambitious nation.secure environmentWhat is vision 2030 about?The creation of a climate that opens up business opportunities, broadens the economic base, and generates jobs for all Saudis is a primary objective of Vision 2030. By utilizing the country's special position and potential, luring the top talent, and boosting international investment, we will be able to accomplish this.
It should be noted that the vision is to bring about an economy that's prosperous. Therefore, goals of the vision statement for vision 2030 include:
a vibrant society,
a thriving economy
an ambitious nation.
secure environment
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A school increases its intake by 10%. if it starts with 1000 students, how many will it have at the beginning of the fourth year of expansion?
I don't know what to do.. please help
Answer:
A and c
Step-by-step explanation:
combine like terms 3x+x+2y
Answer:
If you are just combining like terms then the answer is just 4x + 2y
Hope this helps :)
A small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80% of its capacity. if pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30%. what is the total capacity of the pool in gallons?
The total capacity of pool in gallons is 1625.
Let us assume the water in the pool be x liters. Forming the equation according as per the statement in question -
x + 300 = 80% of total volume - Equation 1
Forming the equation according to second statement -
30% × x = 300
30/100 × x = 300 - Equation 2
Finding the initial volume of water using equation 2-
x = 300×100/30
Cancelling zero and performing division and multiplication to find the initial volume of water
x = 1000 gallons
Now finding the total volume or capacity of pool by keeping the value of x in first equation -
1000 + 300 = 80/100 × total volume
Total volume = 1300×100/80
Performing multiplication and division to find the total capacity of pool
Total capacity of pool = 1625 gallons
Hence, the total capacity of pool in gallons is 1625.
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Gwendolyn draws a hotdog on graph paper using the scale shown below. The hotdog has a length of 999 units in the drawingWhat is the length, , c, m, of the actual hotdog?
The length of the actual hotdog is 15 cm
How to determine the length of the actual hotdog?The graph that completes the question is added as an attachment
The length of the hotdog in the figure is given as
Length = 9 units
The scale is given as
Scale: 6 units = 10 cm
So, we have
6 * 9 units = 10 * 9 cm
Divide both sides by 6
So, we have
9 units = 15 cm
Substitute 9 units = 15 cm in Length = 9 units
Length = 15 cm
Hence, the length of the actual hotdog is 15 cm
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Describe and correct the error in the solving the equation. X 6(2y + 6) = 4(9+3y) 2y +36 = 36 + 12y 12y = 12y 0=0 The equation has no solution.
Answer:
The equation has infinitely many solutions.
Step-by-step explanation:
6(2y + 6) = 4(9+3y)
2y + 36 = 36 + 12y ----> should be 12y + 36 = 36 + 12y
12y = 12y correct
0 = 0 correct
The equation has no solution. ---> should read "The equation has infinitely many solutions."
Please answer the question in the photo! ( will mark brainliest )
The required fill in the blanks is 110° and 360°.
What is angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.
Given:
The figure shows that to find the angle.
According to given question we have
The first answer of the figure is 110°.
Obtuse angle is more than 90° and less than 180°.
The second answer of the figure is 360°.
A full angle, also called a complete angle, round angle, or perigon, is an angle equal to radians.
Therefore, the required fill in the blanks is 110° and 360°.
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Perimeter of
6x-2
2x + 4
2y + 4
The right response is Perimeter, x - 2y = 9.
The parameters listed in the question are:
A rectangle's perimeter is equal to 6 x – 2, its length to 2 x + 4, and its width to 2 y + 4.
The perimeter is calculated using the following formula: 2(L) + 2 (W)
6x - 2 = 2(2x + 4) + 2(2y +4) = 4x + 8 + 4y + 8
The result is: x - 2y = 9 and 2x - 4y = 18.
Consequently, the right response is x - 2y = 9.
What is a perimeter?The sum of a polygon's sides is what is referred to as its perimeter. For the perimeter calculation, the shape must be closed. And the polygonal shapes are either one- or two-dimensional.
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Use the diagram to answer the questions below
The measure of ∠B is 60°
The measure of ∠H is 135°
The length of AB is 2cm
From the question, we are to determine the measure of the angles and the length of line AB.
From the given information, we have that
Quad ABCD. is similar to Quad, EFGH
In the diagram,
Measure of ∠F = 60°
But, ∠B ≅ ∠F
∴ The measure of ∠B = 60°
Measure of ∠H
∠E + ∠F + ∠G + ∠H = 360° (Sum of angles in a quadrilateral)
From the diagram,
m ∠E = 90°
m ∠F = 60°
∠G ≅ ∠C
m ∠C = 75°
∴ m ∠G = 75°
Thus,
90° + 60° + 75° + ∠H = 360°
225° + ∠H = 360°
∠H = 360° - 225°
∠H = 135°
Hence, the measure of ∠H is 135°
Length of AB
The length of HE is twice the length of DA,
Thus,
The length of EF will be twice the length of AB
From the diagram,
EF = 4cm
∴ AB = 4/2 cm
AB = 2 cm
Hence, the length of AB is 2cm
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Choose the reasonable product of each expression Explain your reasoning 3.14×7
Based on the product expression, the estimate of the product expression 3.14 x 7 is 22
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
What are rational expressions?Rational expressions are expressions that are represented by the quotient of two polynomials or radicals.
This means that, a rational expression is represented by a fraction whose numerator and denominator are polynomials or radicals
How to evaluate the expression?The expression is given as
3.14 x 7
Rewrite 3.14 as a rational expression
So, we have
3.14 x 7 = 314/100 x 7
Evaluate the product of 314 and 7
So, we have
3.14 x 7 = 2198/100
Evaluate the quotient of 2198 and 100
So, we have
3.14 x 7 = 21.98
Approximate the above expression
So, we have
3.14 x 7 = 22
Hence, the estimate of the product expression 3.14 x 7 is 22
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please answer, posted picture
The required solution of the given system of equation is y=2-9x and y=x/2-1.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.
Given:
The is given system of equation
2-9x=x/2-1
According to given question we have
The equation is
2-9x=x/2-1
We have to split into different system of equation to find the solution of the problem we have
So,
y=2-9x
and
y=x/2-1
Therefore, the required solution of the given system of equation is y=2-9x and y=x/2-1.
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a train can travel 50% faster than a car.both start from point A at the same time and reach point B 75kms away from A at the same time . on the way ,however, the train lost about 12.5 minutes while stopping at the stations . the speed of car is? a.100kmph b.110kmph c.120kmph d.130kmph
Solve -3 < 2x + 3 < 5
The solution of the given Inequality i.e. -3<2x+3≤5 is x > -3 and x ≤1 (option B).
Inequality:
When the symbols ">", "<", "≤", or "≥" are used to connect two real numbers or algebraic expressions, that relationship is known as an Inequality.
Here the given Inequality is -3<2x+3≤5
⇒ -3<2x+3≤5
⇒-3-3 < 2x+3-3 ≤ 5-3 { add -3 on both the sides }
⇒-6 < 2x ≤ 2
⇒-3 < x ≤ 1
⇒-3 < x and x ≤ 1
⇒ x > -3 and x ≤1
Therefore,The solution of the given Inequality i.e. -3<2x+3≤5 is x > -3 and x ≤1 (option B).
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Write the function that models each variation. Find z when x=4 and y=9 . z varies inversely with the product of x and y . When x=2 and y=4, z=0.5 .
The value of z in the given inverse variation is, z= 1 / 9
What is Inversely variation ?The inverse variation property states that , whenever the product of values of two quantities is a constant value then there is opposite variation between these two corresponding values. Or we can also say that if the productive nature of two corresponding values is constant, then one quantity is inversely varies with second quantity.
In the question given,
first of all find the value of K in the model by putting in the values of x, y, and z so that to find the function model.
z = k / (x) (y)
0.5 = k / (2) (4)
k = 4
now write the function equation again by putting value of k,
⇒ z = 4 / (x) (y)
put x = 4 and y = 9 to find the value of z.
z = 4 / 36
z = 1 /9
Thus, z = 1/9
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Henry and emma want to buy a total of 0.5 yds of fabric. the fabric costs $8.72 per yard. how much will each pay if they want to split the cost evenly? $1.09 $2.18 $2.36 $4.36
If Henry and Emma want to buy a total of 0.5 yds of fabric and the fabric costs $8.72 per yard then the amount each will pay if they want to split the cost evenly is equal to $2.18.
The amount Henry and Emma will have to pay if they want to split the cost can be calculated by using division.
First, we calculate the cost of 0.5 yards of fabric.
1 yard of fabric cost = $8.72
0.5 yards of fabric cost = x
Here x is the cost of 0.5 yards of fabric
8.72 × 0.5 = x
x = $4.36
As the cost of 0.5 yards of fabric is calculated to be $4.36, the amount each will pay if they want to split the cost evenly can be found by dividing the cost of 0.5 yards by 2.
cost of 0.5 yards of fabric / 2 = 4.36 / 2 = $2.18.
Hence each one of them will pay $2.18 if they want to split the cost evenly.
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13. Name the property of equality that justifies the following statement:
If l = m, then m = l.
a. Symmetric Property
b. Subtraction Property
c. Reflexive Property
d. Multiplication Property
You get your hair cut at a shop that charges $30. They offer you a deal: If you prepay $150 for five haircuts, they'll give you a punch card that entitles you to a sixth haircut free. The punch cared expires in one year. Is this a good deal?
yes, it is a good deal as long as you use the card before a year.
Is this a good deal?Let's see how much you will save if you pay the $150.
If you want 6 hair cuts, you need to pay $30 6 times, so the total cost will be:
C = $30*6 = $180
If instead, you prepay $150, then you get the 6 cuts only for $150, saving a total of $30 (but the downpayment is 5 times larger than in the other case), but only if you plan to use the punch card for the other cut in the year, if you don't then this option does not make sense.
So, yes, it is a good deal as long as you use the card before a year.
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PLEASE HELP ME ASAP!!! THIS IS DUE IN A FEW MINUTES!!!!!!
Answer:
A
Step-by-step explanation:
we need to find what they equal so we put them as equations against each other
Ann and Ben translate documents from German into English. A set of documents that would take Ann 10 days would take Ben 12 days. Ann starts to translate the documents. After 2 days Ann and Ben both work on translating the documents. How many more days will it take to complete the work? You must show your working. Answer:
Using the together rate, it will take more 3.45 days to complete the work.
What is the together rate?The together rate is given by the sum of each separate rate.
For this problem, the rates are given as follows:
Ann: 1/10 = 0.1.Ben: 1/12 = 0.0833.Together: 1/x.Hence the amount completed in 2 days is:
2 x (0.1 + 0.0833) = 0.3666.
The amount it would take them to complete 100% of the project working together is found by the together rate as follows:
[tex]\frac{1}{x} = \frac{1}{10} + \frac{1}{12}[/tex]
[tex]\frac{1}{x} = \frac{6 + 5}{60}[/tex]
x = 60/11
x = 5.45 days.
The time it would take to do the remaining 100 - 36.66 = 63.34% of the project is:
0.6334 x 5.45 = 3.45 days.
It will take more 3.45 days to complete the work.
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if a magical coin doubles every day how much days would it take for the number of magical coins to exceed 50,000 ?
It would take 16 days for the number of magical coins to exceed 50,000.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let y represent the number of magical coins available after x days. this can be represented by:
y = 1(2)ˣ
To exceed 50000 coins:
50000 = 1(2)ˣ
x = 15.6
It would take 16 days for the number of magical coins to exceed 50,000.
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The assignment for this lesson is to use properties of exponents to compare the growth in the populations of two organisms.
Answer:
The population of a species that grows exponentially over time can be modeled by P(t)=Pe^(kt), where P(t) is the population after time t, P is the original population when t=0, and k is the growth constant.
Step-by-step explanation:
this is from my science
i hope it helped!!!!!!
A circular mosaic has radius 3 meters. Find the area. Round your answer to the nearest hundredth.
Group of answer choices
56.52 square meters
18.84 square meters
28.26 square meters
6.14 square meters
A circle is a round-shaped figure that has no corners or edges. If a circular mosaic has radius 3 meters then the area is 28.26 square meters.
What is Circle?A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.
Given that a circular mosaic has radius 3 meters.
We need to find the area of circular mosaic.
Area of circle=πr²
Here r=3
π=3.142
Substitute the values of pi and r in Area formula
Area =3.142*3²
=3.142*9
=28.26
Therefore area of circular mosaic is 28.26 square meters.
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15 points given to whoever answers
The table represents a linear function.
What is the slope of the function?
–3
–2
3
4
Answer:
The slope of the function is 3
Step-by-step explanation:
To find the slope
Find the change of y over change of x or (Y²-Y¹)/ (X²- X¹) Pick two points on the table for demonstration purposes (1,7) and (2,10) Apply the formula to the points If you can divide your fraction to the simplest form the slope is three*This method works for any other two other points and the work is in the attachment above*