Answer:
El orden de mayor a menor es:
54.45 ; 32.245 ; 23.4 ; 8/9 ; 15/20 ; 50/100 ; 4/10 ; 0.056 ; 9/1000
Step-by-step explanation:
El mayor número será el que tenga el mayor entero, o si tienen el mismo entero será aquel que tenga el primer decimal mayor de izquierda a derecha, o si tienen el mismo se observa el siguiente decimal y así sucesivamente.
Para ordenar y comparar las cantidades es conveniente en primer lugar pasar todos los números a decimales. Para convertir una fracción en un decimal, debes dividir el numerador entre el denominador.
Entonces, en este caso el valor decimal de cada cantidad (o una aproximación) es:
23.4
15/20= 0.75
32.245
0.056
4/10= 0.4
50/100= 0.5
8/9= 0.8888
0.009
9/1000= 0.009
54.45
Entonces el orden de mayor a menor es:
54.45 ; 32.245 ; 23.4 ; 8/9 = 0.8888 ; 15/20 = 0.75 ; 50/100 = 0.5 ; 4/10 = 0.4 ; 0.056 ; 9/1000 = 0.009
6 lb = how many oz .
Answer:
96 oz
Step-by-step explanation:
1 lb= 16 oz
so, 16×6=96
Pamela is a college student. She pays tuition every semester and rent every month, and she uses cash daily for food. The expression 2x+12y+365z represents her yearly expenses. Which variable represents her rent?
Answer:
Variable y represent the rent of Pamela
Step-by-step explanation:
Given
Pamela pays tuition every semester and rent every month, and she uses cash daily for food.
lets understand what constitute semester , month and day in a year.
A semester consist of 6 months.
As a year has 12 months , a year will have 2 semester.
If one pays x for one semester then in a year one has to pay 2x .
As a year has two semester
Similarly
A year has 12 months .
If one pays y for one month then in a year one has to pay 12y .
As a A year has 12 months .
A year has 365 days
If one pays z for each month then in a year one has to pay 365z .
As a A year has 365 days.
__________________________________________
Based on above discussion , we can now safely assume that the we have to look at the coefficient of expression 2x+12y+365z to find the which variable represent which type of bill.
As we have to find variable for rent and rent is paid monthly.
so for a year total bill will have 12 months and hence going by expression variable y represent the rent of Pamela.
Simplify fraction numerator 6 minus x over denominator x squared minus 8 x plus 12 end fraction
The simplified form of the fraction is A = -1 / (x - 2)
Given data ,
Let the fraction be represented as A
Now , the value of A is
A = (6 - x) / (x² - 8x + 12)
On factorizing the denominator , we get
(x² - 8x + 12) = ( x - 6 ) ( x - 2 )
So , the new fraction is
A = ( 6 - x ) / ( x - 6 ) ( x - 2 )
A = - ( x - 6 ) / ( x - 6 ) ( x - 2 )
Taking the common factor out , we get
A = -1/ ( x - 2 )
Hence , the fraction is A = -1/ ( x - 2 )
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Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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2) Choose the word form for 3,016.*
a) three hundred sixteen
O b) thirty sixteen
O c) thirty thousand, sixteen
O d) three thousand, sixteen
PLEASE HELP ME
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the expressions with their simplified forms.
(a) √2 · √8. The simplified surd expression is 4.
(b) √80. The simplified surd expression is 4√5.
(c) √5/√20. The simplified surd expression is 1/2.
(d) √20. The simplified surd expression is 2√5.
What is the simplification of the surd expression?The given surd expression is simplified as follows;
(a) √2 · √8
we can simplify it as;
√2 · √8 = √(2 x 8) = √16 = 4
(b) √80
we can simplify it as;
√80 = √ (16 x 5) = √16 x √5 = 4√5
(c) √5/√20
we can simplify it as;
√5/√20 x √20 / √20
= (√5 x √20 ) /(20)
= √100 / 20
= 10/20
= 1/2
(d) √20
we can simplify it as;
√20 = √4 x √5 = 2√5
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A researcher is interested in knowing the average height of the men in a village. To the researcher, the population of interest is the________ in the village, the relevant population data are the________ in the village, and the population parameter of interest is the_______ .There are 590 men in the village, and the sum of their heights is 3,410.2 feet. Their average height is feet.Instead of measuring the heights of all the village men, the researcher measured the heights of 18 village men and calculated the average to estimate the average height of all the village men. The sample for his estimation is_______ , the relevant sample data are the_______ , and the sample statistic is the________ .If the sum of the heights of the 18 village men is 104.4 feet, their average height is_______ feet.
Answer:
The population mean height of men in the village is 5.78 feet.
The sample mean height of men in the village is 7.8 feet.
Step-by-step explanation:
It is provided that the researcher's interest is in knowing the average height of the men in a village.
To the researcher, the population of interest is the men in the village, the relevant population data are the height of men in the village, and the population parameter of interest is the mean height of men.
It is also provided that there are 590 men in the village, and the sum of their heights is 3,410.2 feet.
Compute the average height as follows:
\(\bar X_{H}=\frac{3410.2}{590}=5.78\ \text{feet}\)
Thus, the population mean height of men in the village is 5.78 feet.
It is given that the researcher measured the heights of 18 village men and calculated the average to estimate the average height of all the village men.
The sample for his estimation is 18 men, the relevant sample data are the heights of the 18 men, and the sample statistic is the sample mean height.
It is also given that the sum of the heights of the 18 village men is 104.4 feet.
Compute the average height of the 18 men as follows:
\(\bar x_{H}=\frac{104.4}{18}=7.8\ \text{feet}\)
Thus, the sample mean height of men in the village is 7.8 feet.
Which of the following shows the best way to set up the product of (2x - 5) and
(4 - 3x + 4.)?
Answer:
C
Step-by-step explanation:
It usually works best to use the polynomial with fewer terms as the multiplier. A row of partial products is written for each term of the multiplier, so the fewer terms will result in fewer rows of partial products.
In order to keep like terms together, it is preferable to allocate a separate column of the multiplication tableau to each power of the operands or product. This means we want to make note of the fact that the cubic multiplicand has a coefficient of 0 for its x^2 term.
The best setup is the one shown in the attachment.
For two n by n square matricies A and B,
suppose rankA = rankB = n-1.
Can rank(AB) become less than n-1 ?
(e.g. rank (AB) = n-2)
If so, I humbly ask you for an example.
Thank you very much.
No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.
According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.
If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.
Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.
However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.
Therefore, if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.
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Solve the following quadratic inequality x^2+x-6>0
Answer:
x < -3 or x > 2
Step-by-step explanation:
x² + x - 6 > 0
Convert the inequality to an equation.
x² + x - 6 = 0
Factor using the AC method and get:
(x - 2) (x + 3) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x - 2 = 0
x = 2
x + 3 = 0
x = -3
So, the solution is x < -3 or x > 2
7+2^2⋅6+2^3−6
wat dis using pedmas plz :(
Answer:
9^-4 + 2^-3
Step-by-step explanation:
It can't be broken down anymore under the law of indices.
ANSWER
this answer is 33 pls picke me brainliest
I need help!!!!!!!!!
Answer:
its b4 + 7b3 + 4b2 + b5 + 7b4+ 4b3= b5+8b4+11b3+4b2
Answer:
When multiplying, add the exponents, (example) remember if there is "7b" the exponent is one.
Multiply b^2 * b^3 = b^5 (add the exponent 2 + 3 = 5)
Multiply 7b * b^3 = 7b^4 (the exponent of 7b is one, add 1 + 3 for the exponent to become 4)
Multiply 4 * b^3 = 4b^3 (4 doesn't have a variable, the exponent will be 3)
b^2 * b*2 = b^4 (add exponents)
7b * b^2 = 7b^3 (add the exponents 1 + 2)
4 * b^2 = 4b^2
b^2 + 7b + 4
b^3 b^5 + 7b^4 + 4b^3
+
b^2 b^4 + 7b^3 + 4b^2
b^5 + 7b^4 + 4b^3 + b^4 + 7b^3 + 4b^2
\(b^5 + 7b^4 + 4b^3 + b^4 + 7b^3 + 4b^2\)
b^5 + 8b^4 + 11b^3 + 4b^2If Aizuddin borrowed RM 6.300 from a bank which offers an interest of 8%
compounded annually, find.
(a) the future value
(b) the amount of interest charged
Answer:
(a) The formula to calculate the amount of money (A) that Aizuddin must pay the bank after n years, with the original amount of borrowed money is 6300 RM, interest of 8%, compounded annually, is described as following:
A = principal x (1 + rate)^(time in year)
A = 6300 x (1 + 8/100)^n
(b) The amount of interest charged (AC) that Aizuddin must pay after n years:
AC = A - 6300
AC = 6300 x (1 + 8/100)^n - 6300
AC = 6300 x [(1 + 8/100)^n - 1]
Hope this helps!
Find the distance between the points (9,-6) and (4,-7)
Answer:
The answer is option DStep-by-step explanation:
The distance between two points can be found by using the formula
\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ \)
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(9,-6) and (4,-7)
The distance between them is
\(d = \sqrt{ ({9 + 4})^{2} + ( { - 6 - 7})^{2} } \\ = \sqrt{ {13}^{2} + ({ - 13})^{2} } \\ = \sqrt{169 + 169} \\ = \sqrt{338} \\ = 13 \sqrt{2} \)
Hope this helps you
shelby is attending a school orchestra concert. She sees her math teacher seated 45 feet ahead of her and her sciene teacher seated 28 feet to her right. How far apart are the two teachers?
If shelby is attending a school orchestra concert. The two teacher are far apart by 35ft.
How to find the length?Using Pythagoreans theorem formula to find the length
c² = √ a² -b²
Where:
c = Length of the hypotenuse
a = 45
b= 28
Let plug in the formula
c² = √45² - 28²
c² = √2025 -784
c² = √1241
c = 35ft
Therefore we can conclude that the two teacher are far apart by 35ft.
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Find the circumference of a circle with a radius of 5 inches.
31.4 in.
3.04 in.
3.14 in.
You flip a coin 100 times and record that 48 are heads and 52 are tails. What is the relative frequency or experimental probability of landing on heads?
whats the percentage
As a result, the experimental probability of landing on heads is 48%, probability which means that we should expect heads approximately 48 times out of 100 coin flips.
What is probability?Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating an unlikely event and 1 indicating an unavoidable event. Because there are two equally likely outcomes, switching a fair coin and coin flips has a probability of 0.5 or 50%. (Either heads or tails). Probability theory, a branch of mathematics, is concerned with the investigation of random events rather than their properties. It is used in a variety of fields, including statistics, finance, science, and engineering.
The following formula can be used to calculate the relative frequency or experimental probability of landing on heads:
Number of Heads / Total Number of Flips = Experimental Probability of Heads
The number of heads in this case is 48, and the total number of flips is 100. Therefore,
Heads Experimental Probability = 48 / 100 = 0.48
We can multiply this by 100 to get a percentage:
Heads Experimental Probability = 0.48 * 100 = 48%
As a result, the experimental probability of landing on heads is 48%, which means that we should expect heads approximately 48 times out of 100 coin flips.
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Which description is correct for the x-intercept(s) of Function A and Function B?
Function A
Function B f(x)=|x| -2
Function a has two x-intercepts
Function b has one x-intercept
Function B has two x-intercepts
Function A has one x-intercept
Both functions have the same number of x-intercepts
Both functions have the same x-intercepts(s)
The correct option regarding the number of x-intercepts of each function is given as follows:
Both functions have the same number of x-intercepts.
What is the x-intercept of a function?The x-intercept of a function is given by the value of x when f(x) = 0, that is, the value of x when the function crosses the x-axis.
From the Table, for function A, these values are given as follows:
x = 1 and x = 3.
For Function B, the intercepts are given as follows:
|x| - 2 = 0
|x| = 2
x = -2 or x = 2.
The intercepts are different, but both functions have the same number of x-intercepts.
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Answer:
Both functions have the same number of x-intercepts.
Step-by-step explanation: Did the test, got it correct.
A local orchestra is holding a charity concert concert at the community center. Each adult ticket $12, and child ticket costs $8. The organizers of the event hope to raise no less than $2,500, and the community center can seat up to 280 people. This graph and system in inequalities represent this situation, where x represents the number of adult tickets and y represents the number of child tickets. 12x + 8y> 2,500. X + y < 280
The answer is (180,80)
To solve this problem, we have to plot the graph, using a tool. This question relates to an inequality and graphical method is a reliable approach to solve inequality problem.
InequalityThe given question is an inequality situation where we are asked to use graph to solve.
The data given are
adult ticket = $12child ticket = $8Total amount raised = $2500Total number of people = 280The inequality for this problem is given is as
\(12x + 8y > 2500\\x + y < 280\)
Kindly find the attached image as the graph and solution to this problem.
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explain the types of frequency distribution in statistics
The two types of frequency distributions are Discrete Frequency Distribution and Grouped Frequency Distribution
What are the types of distribution?The two types of frequency distributions are;
Discrete Frequency Distribution:Grouped Frequency DistributionWhen the data consists of discrete, separate values, this sort of distribution is used. It displays the frequency or number of occurrences of each value.
The data is often expressed in a table with two columns: one for distinct values and another for the frequencies of those values.
This distribution is utilized when the data is continuous and has a wide range of values. It entails categorizing the data into intervals or classes and then calculating the frequency of values that fall within each interval.
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The keyboard of a piano has 88 keys. Generate the equivalent prime factorization of 88.
Answer:
11 x 2^3 =11 x 2 x 2 x 2 = 88
Step-by-step explanation:
88
11 8
2 4
2 2
Use a factor tree it helps a lot :0).
nvmnvmnvmvnmvnmvnvnmvv
Answer:
ur right
Step-by-step explanation:
If X then not Y. If not Y then Z. Y is true.
Answer: yeah?
(*゜ー
Step-by-step explanation:
The Rainbow Motor Motel is a 50-room facility with a restaurant to accommodate its guests. The motel is open 365 days a year, even on leap years; as Lurena Boucha, the proprietor, closes down the facility every February 29, her birthday, for an all day celebration of four years of successful operations. On the average, 98% of the rooms are available for sale. For the year just ended, the actual number of rooms sold totaled 15,000 and the number of guests for the year totaled 20,000. The projected occupancy rate for the next year is 82% of the available rooms based on past experience. The food information is as follows:
Sales $150,000, Beg Inventory 8,000, Purchases $70,000, Ending Inventory, $ 13,000 Consumption by employees (free of charge) $3,000, Number of checks 64,139. Cost of sales ?
From the information given, the cost of sales is $65,000. See the explanation below.
What is the definition of cost of sales?Add your initial inventory to the purchases made over the time period, remove that amount from your ending inventory, and that is your cost of sales.
Cost of Sales = (Bi + P) - Ei
Where Bi is Beginning Inventory
P is Purchases; and
Ei is Ending Inventory.
So the derivation of the solution above is?Beginning Inventory = 8,000
(add) Purchase = 70,000
Bi + P = 78,000
Ending Inventory = 13,000
Cost of sales = 78,000 - 13,000
= $65,000
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Los organizadores de la Feria de Alimentos colocan un contenedor de agua que mide 2,76 metros de largo, por 23,5 decímetros de ancho y por 196 centímetros de alto. ¿Cuál es el volumen del contenedor? Expresa la respuesta en metros cúbicos con aproximación a centésimos.
The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.
To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.
The length of the container is 2.76 meters.
The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).
The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).
Now we can calculate the volume of the container:
Volume = Length × Width × Height
Volume = 2.76 meters × 2.35 meters × 1.96 meters
Volume ≈ 12.9516 cubic meters (rounded to four decimal places)
Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.
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Find the value of θ from the following equation.(θ≤90°)
Answer: 10°
__________________________________________________________
We are given:
Sin(6θ) = Cos(3θ)
Solving for θ:
Simplifying Cos(3θ):
We know that:
Cos(θ) = Sin(90-θ)
So, we can say that:
Cos(3θ) = Sin(90 - 3θ)
Finding the value of θ:
Sin(6θ) = Cos(3θ)
Sin(6θ) = Sin(90 - 3θ) [Since Cos(3θ) = Sin(90 - 3θ)]
6θ = 90 - 3θ [If Sin(θ) = Sin(A) ; θ = A]
9θ = 90 [adding 3θ on both sides]
θ = 10° [dividing both sides by 9]
Find the y-intercept for the parabola defined by
this equation:
y=-4x^2-x+3
Answer:
y is 0,3
Step-by-step explanation:
To find the x-intercept, substitute in
0
for
y
and solve for
x
. To find the y-intercept, substitute in
0
for
x
Answer:
(0,3)
Step-by-step explanation:
Two methods:
Method 1: General method for any equation
Method 2: Method specific for parabolas in standard form
Method 1: General method for any equation
For any two-variable equation to be graphed, the y-intercept is the point where the graph crosses the y-axis. The y-axis is a vertical line through the origin (0,0).
Any y-intercept is on that line, and to get to that point starting from the origin, one can't travel left or right to get to the y-intercept point (without moving back to the y-axis). The only movement would be up or down.
Since no left-right movement will happen, the x-coordinate is zero.
For any two-variable equation, the x and y coordinates of any point on the graph are linked by the equation. If it is known that the x-value is zero, the y-value associated with that x-value is given by substituting zero into the equation everywhere there is an "x", and solving for "y".
\(y=-4x^2-x+3\)
\(y=-4(0)^2-(0)+3\)
Order of operations requires exponents before multiplication, or addition & subtraction...
\(y=-4(0)-(0)+3\)
multiplication...
\(y=0-0+3\)
addition & subtraction, from left to right...
\(y=3\)
So, when the x-value is zero, the y-value is three. Therefore, the ordered pair representing that point is (0,3).
Method 2: Method specific for parabolas in standard form
The given equation is the equation for a parabola (as stated in the question), and it is given in "standard form": \(y=ax^2+bx+c\), where a, b, and c are real numbers (and a isn't equal to zero, because then the x-squared term would be zero, and the equation would really just be a linear equation).
Note that for our equation, it is in standard form if we rewrite the equation to only use addition, \(y=-4x^2+-1x+3\), where \(a=-4, ~b=-1 ~ \text{and}~c=3\)
For a parabola in standard form, the y-intercept is always at a height of "c".
So, the y-intercept would be (0,3).
8÷2(2+2)=?
I asked a few people some say it’s 1 and some say 16....
Answer:
16
Step-by-step explanation:
Follow the rules of PEMDAS
8÷2(2+2)
Parentheses
8÷2(4)
Exponents
we have none
Multiply and Divide from left to right
4(4)
16
Then Add and Subtract from left to right
Answer:
16
Step-by-step explanation:
In order to understand the answer to the problem, we need to know the correct order of operations, through the acronym PEMDAS
PEMDAS
P: Parentheses
E: Exponent
M: Multiply
D: Divide
A: Add
S: Subtract
First add everything in the parentheses to get 4
Then divide 8 by 2 to get 4
4 times 4 = 16
8/2= 4
2+2=4
4 x 4 = 16
5h-6-8+7h what’s the answer ?
What is the slope of the graph?
Answer: 5/2... I know this because we use rise/run and it has a rise of 5 and a run of 2. Hope this helps! Good luck. :)
Step-by-step explanation:
Answer:
\(\displaystyle m=\frac{5}{2}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: \(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (0, -5)
Point (2, 0)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [SF]: \(\displaystyle m=\frac{0--5}{2-0}\)[Fraction] Simplify: \(\displaystyle m=\frac{0+5}{2-0}\)[Fraction] Add/Subtract: \(\displaystyle m=\frac{5}{2}\)