The inequality of the graph is x > -3, and Negated inequality of the graph is x ≤ -3
How to solve inequality?
The inequality is represented as negative one-fifth is greater than or equal to the product of negative two-thirds and a number.
We have,
Given the graph line,
Write both an inequality and a negated inequality that describe this graph:
Let
The inequality of the graph is x > -3
Negated inequality of the graph is x ≤ -3
Hence, the inequality of the graph is x > -3, and Negated inequality of the graph is x ≤ -3
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-1000 2/3 is not real fraction. True or false
True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.
The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.
In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.
To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.
It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.
In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.
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according to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570what was the number of number of female population
According to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570 the number of female population is 43,11,50,122.
To find the wide variety of girl population, we will subtract the quantity of male population from the full population.
Total population = 88,51,84,692
Number of male = 45,40,34,570
Number of female = Total population - Number of male
= 88,51,84,692 - 45,40,34,570
= 43,11,50,122
Therefore, the number of female population is 43,11,50,122.
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Give the equation of the line with the following slope and y - intercept.m = 1/4, b = 0 y=
ANSWER
\(y=\frac{1}{4}x\)EXPLANATION
Given;
\(\begin{gathered} slope(m)=\frac{1}{4} \\ y-intercept=0 \end{gathered}\)Recall, that the standard equation of a straight line is;
\(y=mx+b\)Substitute the values of m and b;
\(\begin{gathered} y=mx+b \\ y=\frac{1}{4}x+0 \\ y=\frac{1}{4}x \end{gathered}\)a)
b)
1. Convert the following Mayan numbers to
decimal (base 10).
: :|| :||
The given Mayan number which is : :|| :|| in decimal (base 10) is 42.
The Mayan number system is a base-20 system that uses three symbols: a dot (.), a horizontal bar (|), and a shell-like symbol (:). The symbol for zero is a shell-like symbol (:).
To convert the given Mayan number to decimal (base 10), we need to understand the positional value of each symbol. Each position in the number represents a power of 20, with the rightmost position being 20⁰, the next position to the left being 20¹, and so on.
The Mayan number given, : :|| :||, can be broken down as follows:
The leftmost position has no symbol, which represents a value of 0.
The second position from the left has two shell-like symbols (:), which represents a value of 2x20¹ = 40.
The third position from the left has two horizontal bars (||), which represents a value of 2x20⁰ = 2.
The given Mayan number in decimal (base 10) is 40 + 2 = 42.
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Complete question is:
Convert the following Mayan number to decimal (base 10).
: :|| :||
Segments RA and NY are best described as which of the following?
A. Parallel segments
B. Perpendicular lines
C. Perpendicular segments
D. Perpendicular rays
These points are linear. Find the slope.
to get the slope of any straight line, we simply need two points off of it, let's use those in the picture below.
\((\stackrel{x_1}{-4}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{0}}}{\underset{\textit{\large run}} {\underset{x_2}{2}-\underset{x_1}{(-4)}}} \implies \cfrac{8 }{2 +4} \implies \cfrac{ 8 }{ 6 } \implies \cfrac{4 }{ 3 }\)
If 35% of a number is 98 and 60% of the same number is 168, find 95% of that number
Answer:
266
Step-by-step explanation:
Based on the given conditions, formulate: 98+168
Calculate the sum or difference:266
Therefore Correct Answer = 266
[RevyBreeze]
Se quiere diseñar la bandera de un colegio el cual debe tener 1 animal, 1 color de fondo y una palabra representativa. La cantidad de colores que se pueden escoger son 8, la cantidad de animales son 13 y la cantidad de palabras son 9, ¿cuántas banderas es posible diseñar?
Answer:
Es posible diseñar 936 banderas.
Step-by-step explanation:
Para poder determinar la cantidad de banderas que es posible diseñar utilizando 1 animal, 1 color de fondo y 1 palabra representativa de un total de 8 colores, 13 animales y 9 palabras, se debe multiplicar la cantidad total de variables, y su resultado será la cantidad de banderas que se podrán diseñar.
Así, deben multiplicarse 8 x 13 x 9, es decir, el total de colores, animales y palabras. Esta multiplicación da como resultado 936, con lo cual es posible diseñar 936 banderas diferentes.
With your team, create a piecewise-defined function with at least three “pieces.” The function does not need to be a step-function with horizontal line segments, but it needs to meet the definition of a function. Make a table and a graph for your function, and write an equation for each part. Be sure to state the domain for each part, as well as the domain for the whole function.
On solving the provided question we can say that The following is the data table of the function.
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
here,
the provided functions that can be formed are
x -infinity < x < -10
f(x) = 2x + 10 -10 < x < 10
4X - 10 10 < x < infinty
The following is the data table of the function.
x y
-20 -20
-15 -15
-10 -10
-5 0
0 10
5 20
10 30
15 50
20 70
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An example of the piecewise defined function is: \(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output.
A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or range.
Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
The following is the data table of the function.
x y
-20 -20
-15 -15
-10 -10
-5 0
0 10
5 20
10 30
15 50
20 70
The provided functions that can be formed are
\(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)
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About 1% of the population has a particular genetic mutation. 137 people are randomly selected.
Find the mean for the number of people with the genetic mutation in such groups of 137.
Find the standard deviation for the number of people with the genetic mutation in such groups of 137.
(Round to the nearest 2 decimal places.)
Using the binomial distribution, the mean and the standard deviation of the amounts are given as follows:
Mean: 1.37.Standard deviation: 1.16.What are the mean and the standard deviation of the binomial distribution?The binomial distribution gives the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The mean is given by the following rule:
E(x) = np.
The standard deviation is given by the following rule:
\(\sqrt{V(X)} = \sqrt{np(1-p)}\)
In the context of this problem, the parameters are found as follows:
p = 0.01, as about 1% of the population has a particular genetic mutation.n = 137, as 137 people are randomly selected.Hence the mean and the standard deviation are, respectively, given by:
E(x) = np = 137 x 0.01 = 1.37.\(\sqrt{V(X)} = \sqrt{137(0.01)(0.99)} = 1.16\)More can be learned about the binomial distribution at https://brainly.com/question/24863377
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during a single day at radio station WMZH,the probability that a particular song is played in 3/8.what is the probability that this thing will be played on exactly 2 days out of 3 days ?round to your nearest thousandth
The probability that the song will be played on exactly 2 days out of 5 days is approximately 0.164.
To find the probability that a particular song is played exactly 2 days out of 5 days at radio station WMZH, we can use the binomial probability formula.
The binomial probability formula is given by P(x) = C(n, x) * p^x * (1-p)^(n-x), where P(x) is the probability of x successful outcomes, n is the number of trials, p is the probability of a successful outcome on a single trial, and C(n, x) represents the binomial coefficient, which is the number of ways to choose x items from a set of n items.
In this case, we want to find the probability of the song being played exactly 2 days out of 5 days, so x = 2, n = 5, and p = 3/8.
Using the formula, we have:
P(2) = \(C(5, 2) * (3/8)^2 * (1 - 3/8)^(^5^-^2^)\)
C(5, 2) = 5! / (2! * (5-2)!) = 10
P(2) = 10 * (3/8)^2 * (5/8)^3
P(2) ≈ 0.164 (rounded to three decimal places)
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7. 200 is the ? th term of 24, 35, 46, 57, ..
200 is the 17th term of the progression
What is arithmetic progression?
Arithmetic progression or arithmetic sequence (AP) is a numerical series in which the difference between subsequent terms is constant. The sequence 5, 7, 9, 11, 13, 15,..., for example, is an arithmetic progression with a common difference of 2. A finite arithmetic progression, or simply an arithmetic progression, is a finite section of an arithmetic progression. An arithmetic series is the sum of a finite arithmetic progression. An arithmetic series is the sum of the elements of a finite arithmetic progression. A closed expression determines the product of the members of a finite arithmetic progression with a beginning element a1, common differences d, and n elements in total.
This can be solved using arithmetic progression
Aₙ = a + (n - 1)d
where, Aₙ = 24, d = 35 - 24 = 11
so, n = (Aₙ - a)/d + 1 = (200-24)/11 + 1 = 17
Hence, 200 is the 17th term of the progression
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which equation represents the slope intercept form of the line when the y intercept is (0,-6) and the slope is -5
The values into the slope-intercept form, we have y = -5x - 6
The slope-intercept form of a linear equation is given by:
y = mx + b
where 'm' represents the slope of the line, and 'b' represents the y-intercept.
In this case, the y-intercept is (0, -6), which means that the line crosses the y-axis at the point (0, -6).
The slope is given as -5.
Therefore, substituting the values into the slope-intercept form, we have:
y = -5x - 6
This equation represents the line with a y-intercept of (0, -6) and a slope of -5.
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Leon’s older brother is 4 3/4 feet tall Leon is a 1/3 foot shorter than his brother how. tall is Leon?
Answer:
Leon is 4 5/12
Step-by-step explanation:
4 3/4 - 1/3 change 4 4/12 - 4/12 = 4 5/12
Write 16 + 32 as a product of two factors using the GCF and the distributive property.
16 + 32 = ? (4, 8, 16, or 32 are the numbers below the question mark) ( ? + ? ) (1, 2, 4, and 8 are below both of the question marks in the parentheses)
The expression 16 + 32 can be expressed as 16(1 + 2) which is the product of two factors 16 and (1 + 2) where 16 is the GCF of 16 and 32
What is (GCF) greatest common factor?The GCF defines the highest common factor present in between given two or more numbers or algebraic expressions.
16 = 1 × 16
32 = 2 × 16
16 + 32 = 1 × 16 + 2 × 16
by distributive property
16 + 32 = 16(1 + 2)
Therefore, 16(1 + 2) is the product of two factors for the expression 16 + 32 using the GCF and the distributive property.
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Make x the subject of m= n+ 1 + x/p
Answer:
Step-by-step explanation:
m = n + 1 + x/p
First, we can start by subtracting (n+1) from both sides:
m - (n+1) = x/p
Then, we can multiply both sides by p to isolate x:
p(m - (n+1)) = x
So the final answer is:
x = p(m - (n+1))
Find two numbers the quotient is between. Then estimate the quotient. Estimate. 34 ÷ 3 The quotient is between and . The estimate for the quotient is .
Answer:
34 / 3 = 11.33333.....
the quotient is between 11 and 12
The estimate is 11
Simplify expression (distributive property) 11(9+d) if correct I'll mark brainliest!
Answer After Distributing: 99 + 11d
Work: You multiply 9 and d by 11, and you get 99 + 11d.
I hope this helps, and Happy Holidays! :)
A number is first increased by 20 and then doubled. The result is 2 less than 5 times the number.
Answer: The number is 14
Step-by-step explanation:
A number is increased by 20: (X + 20)
Then doubled: 2(X + 20)
5 times the number: 5X
2 less than 5 times the number: 5X - 2
Setting the bold statements equal: 2(X+20) = 5X - 2
Distribute left side: 2X + 40 = 5X - 2
Move X's: 40 = 3X - 2
Move numbers: 42 = 3X
Divide both sides by 3: X = 14
Please help this was due yesterday
Answer:
f(x) = (x +6)(x -5) or f(x) = x² +x -30
Step-by-step explanation:
You want a quadratic function whose zeros are -6 and +5.
FactorsIf p is a zero of the polynomial f(x), then (x-p) is a factor. The two given zeros meant that the factors are ...
f(x) = (x -(-6))·(x -5)
f(x) = (x +6)(x -5) . . . . . . . . simplify a bit
This can be put in standard form by multiplying the factors:
f(x) = x(x -5) +6(x -5) = x² -5x +6x -30
f(x) = x² +x -30 . . . . . . . . simplified quadratic function
The quadratic function of the zeros is f(x) = \(x^2+x-30\).
What is quadratic function?
A polynomial function that has one or more variables and a variable having a maximum exponent of two is said to be quadratic. A polynomial of degree 2 is referred to as such because the greatest degree term in a quadratic function is of second degree. There must be at least one second-degree term in a quadratic function. It is a mathematical function.
Here the zeros of the function is -6 and 5.
We know that if zeros of the function is a then the factor is (x-a).
Then,
=> f(x) = (x-(-6))(x-5)
=> f(x) = (x+6)(x-5)
=> f(x) = \(x^2+6x-5x-30\)
=> f(x) = \(x^2+x-30\)
Hence the quadradic function is f(x) = \(x^2+x-30\).
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PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Brandon invests $5800 in two different accounts. The first account paid 3 %, the second account paid 8 % in interest. At the end of the first year he had earned $229 in interest. How much was in each account?
$ ___ at 3 %
$ ____ at 8 %
Interest is a fee charged by a lender to a borrower for the use of money or credit, usually expressed as a percentage of the amount borrowed or invested over a period of time. Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest. The total interest earned after one year is $229
How much was in each account?
Let x be the amount invested in the first account that pays 3% interest, and let y be the amount invested in the second account that pays 8% interest. Since the total amount invested is $5800, we have:
\(x + y = 5800\)
The amount of interest earned on the first account is 0.03x, and the amount of interest earned on the second account is 0.08y. Since the total interest earned after one year is $229, we have:
\(0.03x + 0.08y = 229\)
We now have two equations with two unknowns:
\(x + y = 5800\)
\(0.03x + 0.08y = 229\)
We can solve for x and y by using elimination or substitution method. Here, we will use the substitution method.
Solve the first equation for x:
\(x = 5800 - y\)
Substitute this expression for x into the second equation and solve for y:
\(0.03(5800 - y) + 0.08y = 229\)
\(174 - 0.03y + 0.08y = 229\)
\(0.05y = 55\)
\(y = 1100\)
Now substitute this value of y into either equation to solve for x:
\(x + 1100 = 5800\)
\(x = 4700\)
Therefore, Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest.
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during a blizard it snowed 9 5/10 inches.after a week the now had melted 5 3/7 inches of snow.how many inches of snow are left?
The first step to solve the equation x/4-3/4=16 is shown below
Answer:
i think it is A because that seems like the one making the most sense
Step-by-step explanation:
4/5×1 1/9÷2 2/3. please help me
Answer:
1/3
Step-by-step explanation:
when you change the mixed numbers to improper fractions, you get 4/5 * 10/9 ÷ 8/3. you can flip the 8/3 to 3/8 and change the division sign to multiplication, because dividing by a fraction is the same as multiplying by its reciprocal. you can cancel some things and ultimately you get 1/3
e
B
0
14. The table shows the number of inches of
rain over five months. What would be an
appropriate display of the data? Explain.
(Lesson 2)
Month
Number
of Inches
of Rain
Jan. Feb. Mar.
1.5
2.2
3.6
Apr.
5.3
May
4.8
The graph of the given function is attached.
Given is a function for the rainfall in 5 months in inches.
We need to display the data,
So, as we can see that the data is not showing any proportion or pattern,
So, it can be displayed as a line chart.
Hence the chart is attached for the function.
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factorise:x^3-(y-z)^3
The factorized form of \(x^3 - (y - z)^3\ is \ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)
The Factorization is derived from the application of a mathematical identity. As an AI language model, the information provided is generated based on existing knowledge and formulas.
The given expression is \(x^3 - (y - z)^3.\)To factorize it, the difference of cubes, which states that a^3 - b^3 can be factorized as\((a - b)(a^2 + ab + b^2).\)
Applying this identity to our expression, we have:
\(x^3 - (y - z)^3 = (x - (y - z))((x - (y - z))^2 + (x - (y - z))(y - z) + (y - z)^2)\)
Simplifying further, we get:
\(= (x - y + z)(x^2 - 2xy + 2xz - y^2 + 2yz - z^2 + xy - y^2 + yz - z^2 + y^2 - 2yz + z^2)\\= (x - y + z)(x^2 - 2xy + xy + 2xz + yz - 2yz - y^2 + y^2 - y^2 + 2yz - 2z^2 + y^2 - z^2 + z^2)\\= (x - y + z)(x^2 - xy + 2xz + yz - 2z^2)\)
So, the factorized form of \(x^3 - (y - z)^3 \ is\ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)
the above factorization is derived from the application of a mathematical identity.
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Bob packs 13 pounds of nuts in bags. Each bag has 1/4 pound of nuts. Which equation shows the number of bags Bob packed with all the nuts?
13 × 1/4 = 52
13 ÷ 1/4 = 52
13 ÷ 1/4 = 14/4
13 × 1/4 = 13/4
The equation for the bag with all nuts is 13 / ( 1/4 ) = 52 bags
Given data ,
Bob packs 13 pounds of nuts in bags.
Each bag has 1/4 pound of nuts
Now , the number of bags = pounds of nuts / pounds of nuts in each bag
A = 13 / 1/4
On simplifying the equation , we get
A = 52 bags
Hence , the number of bags is 52 bags
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Kenny drank 37 ounces of milk during the
day. How many cups of milk did he drink?
Answer:
4.625
Step-by-step explanation:
that is the answer
Plz help me with math well mark brainliest!
Answer:
15 is divided by a number
7.) According to the quantity equation, changes in the money supply will lead directly to
changes in the price level if velocity and real GDP are unaffected by the change in the
money supply. Will velocity change over time? What factors might lead to changes in
velocity? Are those changes related to changes in the money supply?
According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.
For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.
For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.
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