The solution to the equations are
0 ∈ N is False 7/2 ∈ Q is True
√16 ∈ Q' is False π ∈ Q' is True
3/2 ∈ I is False -3 ∈ R is True
0 ∈ I is True -1 ∈ I⁺ is False
( 1 - 3 ) ∈ N is False 8/2 ∈ I is True
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number be represented as A
Now , the equation will be
a)
Let the number be A = 0
The number 0 is a whole number , rational number and an integer
0 is not a natural number
So , the equation is False
b)
Let the number be A = √16
The value of A = 4
The number 4 is a natural number , whole number , rational number and an integer
4 is not an irrational number
So , the equation is False
c)
Let the number be A = 3/2
The number 3/2 is a rational number
3/2 is not an integer
So , the equation is False
d)
Let the number be A = 0
The number 0 is a whole number , rational number and an integer
0 is an integer
So , the equation is True
e)
Let the number be A = ( 1 - 3 )
The value of A = -2
The number -2 is a rational number and an integer
-2 is not a natural number
So , the equation is False
f)
Let the number be A = 7/2
The number 7/2 is a rational number
7/2 is a rational number
So , the equation is True
g)
Let the number be A = π
The number π is an irrational number
π is an irrational number
So , the equation is True
h)
Let the number be A = -3
The number -3 is a real number
7/2 is a real number
So , the equation is True
i)
Let the number be A = -1
The number -1 is an integer and real number
-1 is a negative integer
So , the equation is False
j)
Let the number be A = 8/2
The value of A = 4
The number 4 is a natural , whole , integer and rational number
4 is an integer
So , the equation is True
Hence , the equations are solved
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Write an expression with 5 terms where one of the terms is a constant of 3
Answer:
Since the term "3" contains no variables, "3" IS a constant term. In the expression 2x - 5 the constant term is -5.
Identify the range of the function shown in the graph. 10 . 0 <= y <= 5 B. y > 0 . y is all numbers D - 5 <= y <= 5
The range of the absolute function will be from 0 to 9. Then the correct option is A.
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
If the vertex of the absolute function is at (h, k). Then the absolute function is given as
f(x) = | x - h| + k
The domain means all the possible values of x and the range means all the possible values of y.
From the graph, the range of the absolute function will be from 0 to 9.
Then the correct option is A.
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The complete question is attached below.
Need with this … substitution method..
Answer:
The solution is the point (-3,2)
Step-by-step explanation:
x + 2y = 1 Subtract 2y from both sides
x + 2y - 2y = 1 - 2y
x = 1 - 2y Substitute 1 - 2y in for x in the second equation and solve for y.
5x -4y = -23
5(1 - 2y) -4y = -23 Distribute the 5
5(1) - 5(2y) - 4y = -23
5 -10y - 4y = -23 Combine like terms
5 -14y = -23 Subtract 5 from both sides
5 -5 - 14y = -23 -5
-14y = -28 Divide both sides by -14
[tex]\frac{-14y}{-14}[/tex] = [tex]\frac{-28}{-14}[/tex]
y = 2
Solve for y
x + 2y = 1 Substitute in 2 for y and solve for x
x + 2(2) = 1
x + 4 = 1 Subtract 4 from both sides
x + 4 - 4 = 1 - 4
x = -3
The solution is the point (-3,2)
Check:
2 + 2y = 1
-3 + 2(2) = 1
-3 + 4 = 1
1 - 1 checks
5x - 4y = -23
5(-3) - 4(2) -23
-15 - 8 = -23
-23 = -23
Judi is making a rope ladder. She uses 1/2 yard of for each step. How many yards of rope can she make for step?
The number of yards of rope she can make for the step is 3 yards
How to determine the number of yards of rope she can make for the step?From the question, we have the following parameters that can be used in our computation:
Yards of rope per step = 1/2 yards per step
Total number of steps = 6 steps
The number of yards of rope she can make for the step can then be calculated using the following equation
The number of yards of rope = Total number of steps * Yards of rope per step
Substitute the known values in the above equation, so, we have the following representation
The number of yards of rope = 1/2 * 6
Evaluate
The number of yards of rope = 3
Hence, the number of yards of rope is 3
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Complete question
Judi is making a rope ladder. she uses 1/2 yard of rope for each step. how many steps can she make with 6 yards of rope?
Select the correct answer from each drop-down menu. Graph of a four-sided polygon on a coordinate plane at A (minus 1, minus 1), B (0, 1), C (2, 2), and D (2, minus 1). In the figure, polygon ABCD is dilated by a factor of 2 to produce A′B′C′D′ with the origin as the center of dilation. Point A′ is at (-2, -2) , and point D′ is at (4, -2) .
The coordinates of the vertices of polygon A'B'C'D' after the dilation are given as follows:
A'(-2, -2), B'(0, 2), C'(4,4), D'(4,-2).
What is a dilation?A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.
The vertices of the original polygon for this problem are given as follows:
A(-1,-1), B (0, 1), C (2, 2), and D (2, -1).
The scale factor for the dilation in this problem is given as follows:
k = 2.
Hence the coordinates of the vertices of polygon A'B'C'D' after the dilation are given as follows:
A'(-2, -2), B'(0, 2), C'(4,4), D'(4,-2).
(as each coordinate of each vertex was multiplied by the scale factor of 2).
Missing InformationThe problem is incomplete, hence the coordinates of the vertices of the image after the dilation were obtained to show how the dilation works.
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Richard has 11 markers in a backpack. One of them is red and one is purple. What is the probability Richare
will reach into the backpack without looking and grab the red marker and then reach in a second time and
grab the purple marker if:
(a) the first marker is not replaced?
(b) the first marker is replaced?
Express your answers as fractions in simplest form.
The probability Richard marker is 11.The probability of anything occurring is known as probability.
How are probabilities calculated?The probability of anything occurring is known as probability. To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.
The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.
The probability of anything occurring is known as probability. To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.
According to question:-
11/1 = 11
11/1 = 11
The probability Richard marker is 11.The probability of anything occurring is known as probability.
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PLEASE HELP!!
I’m rlly struggling with my hw rn
There you have it, your answer
Step-by-step explanation:
Easy
What is the repeated addition of 9x0=
Answer:
The answer is zero
Step-by-step explanation:
Hope it helps
Guys, how much triangles this picture has?
Answer:
6 for the number of triangles or 7 because all the triangles form a hole triangle
Step-by-step explanation:
Answer: The answer is 6. If you add the triangle that all the small triangles are within, then you would get 7.
Need help solving this please
Answer:
30 students
Step-by-step explanation:
First, we need to find exactly how many students went to school by car and how many went on the bus.
To do this, we simply multiply the fraction of students that used each transportation method by the total number of students.
[tex]\# \textrm{ of students by car} = \dfrac{3}{8} \times 240 = \dfrac{3 \times 240}{8} = \dfrac{720}{8} = 90 \textrm{ students}[/tex]
So, 90 students went to school by car.
[tex]\# \textrm{ of students on bus} = \dfrac{6}{12} \times 240 = \dfrac{1}{2} \times 240 = \dfrac{240}{2} = 120 \textrm{ students}[/tex]
So, 120 students went to school on the bus.
The number of students that walked to school is the same as the number of students who didn't go in a car or on the bus, so to find the number of students that walked to school, we can subtract the number of students that went by car and on the bus from the total number of students.
[tex]\# \textrm{ of students that walked} = 240 - 90 - 120 = 30 \textrm{ students}[/tex]
witch equation is made true by the opposite angles theorem
The option D is correct.Because this equation holds the vertically opposite angle theorem.
What is vertically opposite angle theorem?Vertically Opposite Angles are holds when two lines intersect each other then the opposite angles formed due to intersection are called vertical angles or vertically opposite angles. A pair of vertically opposite angles are always equal to each other.
How do you find opposite angles?Vertical opposite angles that are opposite each other when two lines cross are also known as vertical angles because the two angles share the same corner. Opposite angles are also congruent angles.The equation of a vertical line is given by x = a or x = -a
Now we find
According to vertical opposite angle
x-8=40-2x
x+2x=40+8
3x=48
x=16
We can find value of x by usng vertical opposite angle.
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Solve for x and show your steps. Is the solution extraneous? Check your work to show how you extraneous or not.
1 1x + 5 = 7
For the given issue, x has a value of 4. The offered solution is the solution extraneous .
What does the mathematical concept of superfluous mean?When we solve equations, we often obtain values that aren't actually the answer to the equation.
What makes an equation unnecessary?A root of a transformed equation that isn't a root of the previous iteration because it was left out of the original equation's domain is known as a extraneous solution.
According to the given information:√(11x + 5) = 7
(11x + 5) = 7²
11x + 5 = 49
11x = 49 - 5
11x = 44
x = 4
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How do you do numb 3. please help
Step-by-step explanation:
first we need to identify the lines themselves.
the line from bottom left to top right is simply
y = x
the line is solid, so the points on the line are included.
the dotted line (the points on the line itself are not included) goes through
(0, 2) and (3, 0)
the y-intercept is therefore 2 (the y value when x = 0).
and for the slope
x changes by +3 (from 0 to 3).
y changes by -2 (from 2 to 0).
the slope is -2/+3 = -2/3
and the line is
y = (-2/3)x + 2
we see that the desired gray area is above both lines (">"), and we need to consider, whether the points in the lines are included or not.
so, the system of inequalities is
y >= x
y > (-2/3)x + 2
A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of 12 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 58 bolts. The sample mean bolt length was 12.07 centimeters. The population standard deviation is known to be o=0.25 centimeters. what is the test statistic z? what is the p-value?
The test statistic from the factory population is 2.12. The p value is given as .017003.
How to solve for the test statisticsWe have the following values to solve the problem with
n = 58
sample mean x = 12.07
standard deviation = 0.25 meters
u = length = 12
The formula is given by
[tex]z= \frac{x-u}{sd/\sqrt{n} }[/tex]
when we insert the values we would have:
[tex]z= \frac{12.07-12}{0.25/\sqrt{58} }[/tex]
z = 0.07 / 0.033
z = 2.12
we have to find the p value when z = 2.12
The p value is 0.017003 using a statistical calculator
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Mili has 5 rocks in his rock collection .he finds 40 rocks outside that he wants to put in his collection . If he places the rocks into boxes of 9 how many boxes of rocks will he have in his collection
Answer:
40 + 5 = 45
45 ÷ 9 = 5
Therefore, he will have 5 boxes of rocks.
Your are filling your rectangular hot tub with water. The base is 76 inches by 64 inches. The hot tub hole allons of water. If the hot tub is one-fourth full, what is the approximate height of the water? (5d- Zlinou are filling your rectangular hot tub with water. The base is 76 inches by 64 inches. The hot tub hold allons of water. If the hot tub is one-fourth full, what is the approximate height of the water?
Answer:
1216 inches
Step-by-step explanation:
First you multiply ¼ by 76 times 64
which gives you 1216 inches
Nataliah can read 160 words per minute. Let w represent the total number of words
Nataliah reads, and let m represent the number of minutes she spends reading. Create a
table and a graph to show how many words Nataliah will read from 1 to 5 minutes. Don't
forget to label your axes.
Please review the analysis for the dependent and independent variables. Equation: The total probability for the number w=160 m on the chart is 160 m.
What is the probability ?Equation w=160 m.w (words) equals 160 words in the first minute and 320 words in the next two minutes. 800 words in five minutes, 480 words in three minutes, and 640 words in four minutes. The probability of A or B is equal to p(A or B) = p(A) + p(B) if occurrences A and B are mutually exclusive (B).
The steps listed below can be used to determine an event's likelihood: Step 1: Identify an event that has only one outcome. Step 2: Compile a list of all potential outcomes, including any positive ones. Step 3: Subtract the number of favourable outcomes from the total number of outcomes that are feasible. A probability is a number that expresses the possibility or likelihood that a specific event will take place.
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Show how to use the unit rate to find the missing numbers on the double number line
Using the Double Number Line above, note that the unit that helps to find the missing numbers is given as:
3 and 915 and 518 and 624 and 827 and 9.What is a Unite Rate and How does it relate to a Double Number Line?Note that a unit rate is like a secret code to help you compare things. It helps you find missing numbers on a number line. For example, if 4 cookies cost $2, you can use the unit rate of $0.50/cookie to find out how much 8 cookies cost."
In the above case, we have several clues about the rate. The first relationship on the line is between 1 and 3.
But it only makes when we compare it to other iterations on the line such as 2 and 6.
Note that we can establish a relationship here which is that the greater number must be divided by three to get the lower number. That is:
3/3 = 1
6/3 = 2
Note well that the relationship between 0, 3, and 6 on the number line tell us that the upper units graduate in progressions of 3. that is:
0, 3, 6, 9, etc.
Thus, the missing numbers are:
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What add up to -3 and multiples to -70
We add (x +7 ) (x - 10) up to -3 and multiply to -70.
What is a quadratic equation?
Any equation in algebra that can be written in the standard form where x denotes an unknown value and a, b, and c denote known numbers, where a 0 is a quadratic equation.
Here,
We illustrate and prove that -9 and 10 multiply to -90 and add up to 1:
7 × -10 = -70
-10 + 7 = -3
We are trying to determine how to factor the following quadratic equation.
x² -3 x - 70 = 0
If so, the solution to factor the quadratic equation above is:
(x +7 ) (x - 10)
To summarize, -10 and 7 multiplied by -70 and add up to -3, you know that the following is true:
x² -3x - 70
= (x +7 ) (x - 10)
Hence, we add (x +7 ) (x - 10) up to -3 and multiply by -70.
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How do i rewrite the sum in the form a(b+c) such that the integers b and c have no common factor. 35+42
Rewriting the sum in the form a(b+c) such that the integers b and c have a common factor. 35+42 is 7(5 + 6).
How to factorize the number?The process of factorization simply has to do with the division of arithmetic algebraic expressions into the sum of their factors. in this case, multiplying the variables will yield the original expression. It means the writing of a number into smaller or simpler numbers that give the original number.
The common factor to both 35 and 42 is 7. This will be:
35 + 42 = 7(5 + 6)
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Complete question
How do i rewrite the sum in the form a(b+c) such that the integers b and c have a common factor. 35+42
A boat will pass the Colby bridge and the wave bridge on the dell river. Rename each other the two bridge opening times. there are 60 minutes in an hour so use 60 as a common denominator. Then rename each opening time and find another common denominator. Explain how you found your answers.
The bridge opening times when there are 60 minutes in an hour will be 45/60 and 10/60.
How to illustrate the fraction?From the information, a boat will pass the Colby drawbridge and then the Wave drawbridge and then the Wave drawbridge.
From the table, Colby is on the 3/4 hour. This will be:
= 3/4 × 60
= 45
Also, Wave Bridge will be:
= 1/6 × 60
= 10
Therefore, it's 45/60 and 10/60 because we know that the common denominator is 60 then 3/4 of an hour is 45mins then 1/6 of an hour is 10.
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Complete question
On the Dell River, a boat will pass the Colby drawbridge and then the Wave drawbridge and then the Wave drawbridge. Rename each of the two drawbridge opening times. There are 60 minutes in an hour, so use 60 as a common denominator. Then, rename each opening time using another common denominator
Bridge name:
1. Asher Cross
2. Colby
3. Rainbow
4. Red Bank
5. Wave
Time of Opening:
1. On the hour
2. On the 3/4 hour
3. On the 2/3 hour
4. On the 1/4 hour
5. On the 1/6 hour
What's the inverse of ƒ(x) = x – 20?
Therefore , the solution of Inverse function comes out to be of x-20 equals to x+20
What is the inverse symbol?A function f has an inverse function only if for every y in its range there is only one value of x in its domain for which f(x)=y. This inverse function is unique and is frequently denoted by f−1 and called “f inverse.” For an overview into the idea of an inverse function, see the function machine inverse.Steps for finding the inverse of a function fReplace f(x) by y in the equation describing the function. Interchange x and y. In other words, replace every x by a y and vice versa.
Here,
Solve for y.
Replace y by f-1(x).
y=x-20
x=y-20
Solve for y,x = y-20
x+20
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Answer:
ƒ^(-1)(x) = x + 20
Step-by-step explanation:
To find the inverse of the function ƒ(x) = x - 20, we need to switch the roles of x and y and solve for y.
Let's start by replacing ƒ(x) with y:
y = x - 20
Next, swap x and y:
x = y - 20
Now, solve for y by isolating it:
x + 20 = y
Therefore, the inverse of the function ƒ(x) = x - 20 is given by:
ƒ^(-1)(x) = x + 20
2 1/7 - 1 2/5 give your awenser as a mixed number
Answer:
dunno la saya , gak bisa bahasa ingeris
PLEASE HURRY BE FAST
A fishing map is laid out on a coordinate plane with each unit equal to 1 mile. The boat is launched from the point (−3, 0) and goes to point (−3, 3) to fish. From there, the boat travels to (0, 0) to fish and then goes back to the launch point.
Determine the total number of miles traveled. Round to the nearest mile.
3 miles
6 miles
10 miles
24 miles
Answer:
24 miles
Step-by-step explanation:
each distance between points is 6.
6+6+6+6=24 miles
In a set of 100 ACT scores that are normally distributed and with a mean of 23 and standard
deviation of 4.69, (a) how many scores are expected to be lower than 18.31 (one standard
deviation below the mean)? (b) How many of the 100 scores are expected to be below 32.38 (two
standard deviations above the mean)?
a). The number of scores which are expected to be lower than 18.31 is; 16 scores.
b). The number of scorers that are expected to be below 32.38 is; 98 scores.
Calculations involving normal distribution.As evident in the task content; the 100 ACT scores in discuss are normally distributed, hence, all peculiar characteristics of a normal distribution apply.
First, since the mean is given as; 23 and the standard deviation is; 4.69.
By observation; 23 - 4.69 = 18.31 and
23 + 4.69 + 4.69 = 32.38.
a). Since the percentage of data values which fall below one standard deviation below the mean is; 15.9% which is approximately; 16%.
Therefore, the number of scores below the 18.31 score is; 16% of 100 = 16 scores.
b). Also, since the score; 32.38 is 2 standard deviations above the mean, and it follows from a normal distribution that the percentage of data values below such data value is; 97.7% which is approximately 98%.
Therefore, the number of scores which are expected to be below 32.38 is; 98% of 100 = 98.
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In which step was the addition property of equality applied?
Answer:
Step-by-step explanation:
Dans le calcul d'une somme, ou d'un produit, de deux nombres, on peut échanger la place de deux nombres. Dans le calcul d’une somme, ou d'un produit, de trois nombres (ou plus), on peut associer de différentes façons les nombres deux par deux. Pour calculer le produit d’une somme par un nombre, on peut calculer le produit de chacun des termes par ce nombre, puis calculer la somme des résultats obtenus.
2. Two sidewalks in a park are represented by lines on a coordinate grid.
Sidewalk 1: 3x + 3y = 6
Sidewalk 2: y = x + 6
(a) Find the solution to the system of equations by using the substitution method.
(b) Show ALL of your steps.
Answer: x is -2 and y is 4 if needed (-2,4) is the origin form
Step-by-step explanation: first we take side walk one we subtract -3x on both sides then you get 3y=-3x+6 divide both by 3 you get y=-x+2 finally we can substitute. substitute y for x+6 you get x+6 = -x+2 do the inverse of -x on both sides you get 2x+6=2 do the inverse of 6 on both sides you get 2x=-4 divide 2 on both sides you get x=-2. substitute x of y=-x+2 to y=-(-2)+2 mult -1 x -2 is 2, 2+2 is four so y= 4 put that together x is -2 and y is 4
Can anybody awnser the table for me!!
The table is completed as shown below and total earnings of Lori is found.
What exactly is total earnings of a person?
The wages paid for both regular working hours and other working hours, including extra work or tips are referred to as total earnings.
Consider Tuesday
Hours worked = 4
Base salary = 4 × 7 ( $7 per hour given)
= $28
Tips = 18% of food sales = 0.18 × 300 = $54
Total earnings on Tuesday = 28 + 54 = $82
In the similar way the table can be completed as below.
1) The total earnings of Lori for the week = 82+138.9+218.5+173 = $612.4
2) Total earnings in a year = 52 × 612.4 = $31844.8
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Suppose f is a function. If f(6) = -9, give an ordered pair of numbers that is a solution of the function.
The ordered pair solution to the function f(x) is (6, -9) because f(6) = -9,
What is an equation?An equation is an expression relating numbers and variables.
A function is a rule that defines the relationship between the dependent and independent variable. Dependent variables are variables that depends on others variable while independent variables are variables that does not depends on others variable
A solution to a function is the values of the variable that makes the equation true.
Given the function f(x) have solution of f(6) = -9. The ordered pair is (6, -9)
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The table shows the types and numbers of prizes at a carnival game what is the ratio of stuffed animals to posters
Answer:
Step-by-step explanation:
3