To convert 0.1667 to a fraction, we write it as 1667/10000, and simplify it to 1/6. Hence, the fraction of .1667 is 1/6.
To convert the decimal number 0.1667 to a fraction, we can write it as 1667/10000. This fraction can be simplified by dividing both the numerator and the denominator by their greatest common factor, which is 167.
1667 ÷ 167 = 10
10000 ÷ 167 = 60 + 40/167
So, the fraction equivalent to 0.1667 is 1667/10000, which can be simplified to 10/60 + 40/167.
10/60 can be simplified to 1/6, so the final simplified fraction is:
0.1667 = 1/6 + 40/167
Therefore, the fraction equivalent to 0.1667 is 1/6.
Converting a decimal to a fraction involves expressing a decimal number as a ratio of two integers. To convert a decimal to a fraction, the decimal is written in the form of a fraction, with the decimal value as the numerator and a power of 10 as the denominator. The resulting fraction can be simplified by finding the greatest common factor between the numerator and denominator, and then dividing both by that factor. For example, to convert 0.1667 to a fraction, we write it as 1667/10000, and simplify it to 1/6.
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What is the area of a square with side lengths of 3/5
Answer: 0.36
Step-by-step explanation:
A=L*W
Since all sides of a square is the same you just do 3/5(3/5) which is 0.36 or 9/25
Kaj observes a marble travel along a horizontal path at a constant rate. The marble travels 1/20 of the length of the path in 2 1/2 seconds. At that rate, how many seconds does it take the object to travel the full length?
It takes 50 seconds to travel the full length at the constant rate R.
How many seconds does it take the object to travel the full length?Remember the relation between speed, distance and time:
distance = speed*time
Here we know that at a rate R (or speed S, these are equivalent) it moves (1/20) of the total distance D in (2 + 1/2) seconds, then we can write:
R*(2 + 1/2) = (1/20)*D
Now we only need to isolate D on the right side, to do so we need to multiply both sides by 20.
20*R*(2 + 1/2) = D
The time is:
20*(2 + 1/2) seconds
40 + 10 seconds
50 seconds
It takes 50 seconds to travel the full length,
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y=3.8x10 [tex]x^{5}[/tex]
Given three floating-point numbers x, y, and z, output x to the power of z, x to the power of (y to the power of z), the absolute value of y, and the square root of (xy to the power of z). Ex: if the input is: 3. 6 4. 5 2. 0 the output is: 12. 96 1. 841304610218211e11 4. 5 16. 2.
The absolute value of y, and the square root of (xy to the power of z) is [tex]xy^{z}[/tex]
Floats are a type of number representation that allows us to store very large or very small numbers with a high degree of precision. In computer programming, it is often used to represent real numbers, such as decimals.
In this problem, we are given three float numbers x, y, and z and asked to perform various mathematical operations with them.
Let's start with the first operation: x to the power of z. This means that we want to find x raised to the power of z. This can be written mathematically as xᵃ.
The next operation is x to the power of (y to the power of z). This means that we want to find x raised to the power of y raised to the power of z. This can be written mathematically as x(yᵃ).
The third operation is the absolute value of y. The absolute value of a number is its magnitude, or distance from zero, regardless of its sign. For example, the absolute value of -5 is 5 and the absolute value of 5 is 5. Mathematically, it can be written as |y|.
Finally, we have to find the square root of (xy to the power of a). The square root of a number is the value that, when multiplied by itself, gives the original number.
The square root of 25 is 5 because 5 * 5 = 25. This can be written mathematically as
=> √(xyᵃ).
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What is equation of a semicircle?
The equation of the semicircle upper side of the x-axis will be x = √[r² - (y - k)²] + h.
What is the equation of a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Let r be the radius of the circle and the location of the center of the circle be (h, k). Then the equation of the circle is given as,
(x - h)² + (y - k)² = r²
The equation of the semicircle upper side of the x-axis will be given as,
(x - h)² + (y - k)² = r²
x - h = √[r² - (y - k)²]
x = √[r² - (y - k)²] + h
The equation of the semicircle upper side of the x-axis will be x = √[r² - (y - k)²] + h.
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True or False? All of these figures are similar
Answer:
True
Step-by-step explanation:
They Are all Equal and The Same By the Degrees and Angles and Numbers
what is the image of (7,3)?
use the translation: T<3,-5>
HELP ASAP
The image of (7, 3) after a translation of T(3, - 5) would be at (10, - 2).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Given, A point has a coordinate of (7, 3).
We know, Translation shifts coordinate into the x-y coordinate.
Therefore, The image of (7, 3) after a translation of (3, - 5) would be,
(7 + 3, 3 - 5) which is now at (10, - 2).
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25 points! write the radical ³√32m³ using rational exponents
Answer:
To write the radical ³√32m³ using rational exponents:
1. Rewrite the radical using exponential notation: 32m^3 ≈ 8m^3.
2. Convert the exponent into its equivalent fractional form: 8m^3 ≈ 2^3m^3/2^3.
3. Apply a rational exponent to the numerator: (2^3m^3)^(1/3)/2^3 = 2m.
4. The radical can now be written using rational exponents: (2m)^3/2^3.
-8a+32b in distributive property
-8a + 32b using the distributive property as 8(-a + 4b).
What is Expression?An expression is combination of variables, numbers and operators.
To express -8a + 32b using the distributive property, we need to factor out the greatest common factor that the terms share.
The greatest common factor of -8a and 32b is 8.
-8a + 32b
= 8(-a + 4b)
Using the distributive property, we can check that this expression is equivalent to the original:
8(-a + 4b) = 8(-a) + 8(4b) = -8a + 32b
Therefore, we can express -8a + 32b using the distributive property as 8(-a + 4b).
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What is 4x + 11 < -21 on a number line
Answer: x <- -8
x is less than negative eight.
Step-by-step explanation:
First, subtract 11 from both sides. Then divide both sides by 11. The arrow should be open and pointing to the left.
Answer:
x <- -8
Step-by-step explanation:
The points represented by the table lie on a line . Find the slope of the line x-1,1,3,5. Y 10, 5, 0,-5 m=
Answer: The slope of a line can be found using the formula:
m = (y2 - y1) / (x2 - x1)
We can choose any two points from the table to find the slope. Let's use the points (1, 10) and (5, -5):
m = (-5 - 10) / (5 - 1) = -15 / 4 = -3.75
So, the slope of the line represented by the table (x = 1, 3, 5, y = 10, 5, 0, -5) is -3.75.
Step-by-step explanation:
A store bought shirts for $5.75 each. If they want
to make 65% profit on selling them what should
the selling price be?
The selling price of a shirt should be $8.97.
What is gain or profit?The profit or gain is equal to the selling price minus the cost price. Loss is equal to the cost price minus the selling price.
Given that, a store bought shirts for $5.75 each and profit percent = 65%.
We know that, Selling price = (100+Profit%)/100 ×CP
Here, Selling price =(100+65)/100 ×5.75
= 1.56×5.75
= $8.97
Therefore, the selling price of a shirt should be $8.97.
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The scores from a 20 point algebra quiz are shown.
7, 9, 10, 12, 13, 15, 17, 18, 19, 20
The percentile of a test score can be defined as the percent of test scores less than or equal to that test score
Use this definition to find the percentile of the test score 12
The test score 12 is at the ___th percentile
The test score of 12 is at the 40th percentile.
What is a percentile?
A Percentile divides a data set into the 100 equal parts. A percentile is a measurement that tells us what percent of the total frequency of a data set was at or below that measure.
From the question,
The test score of 12 is less than or equal to 7, 9, 10, 12, so 4 out of the 10 scores are less than or equal to 12.
So, the percentile of the test score 12 can be calculated as:
Percentile = (number of scores less than or equal to 12) / (total number of scores) x 100
percentile = (4) / (10) x 100
percentile = 40
Hence, the test score of 12 is at the 40th percentile.
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what is the definition of opposite rays in geometry
Answer:
Opposite rays point in opposite directions and therefore make a 180-degree angle with each other.
Step-by-step explanation:
if u and v are in r n , how are u t v and v t u related? how are uv t and vu t related?
They are related as u^T transposes of each other. v and v^T u are scalar values that represent the dot product of u and v. uv^T and vu^T are matrices of size n x n that represent the outer product of u and v.
If u and v are vectors in R^n, then:
u^T v and v^T u are related as transposes of each other. Specifically, if
u = [u_1, u_2, ..., u_n]^T
and v = [v_1, v_2, ..., v_n]^T
then:
u^T v = v^T u
= u_1 * v_1 + u_2 * v_2 + ... + u_n * v_n
So, u^T v and v^T u are scalar values that represent the dot product of u and v.
uv^T and vu^T are related as transposes of each other. Specifically, if u = [u_1, u_2, ..., u_n]^T and v = [v_1, v_2, ..., v_n]^T
then:
uv^T = [u_1 * v_1, u_1 * v_2, ..., u_1 * v_n;
u_2 * v_1, u_2 * v_2, ..., u_2 * v_n;
...;
u_n * v_1, u_n * v_2, ..., u_n * v_n]
vu^T = [v_1 * u_1, v_2 * u_1, ..., v_n * u_1;
v_1 * u_2, v_2 * u_2, ..., v_n * u_2;
...;
v_1 * u_n, v_2 * u_n, ..., v_n * u_n]
So, uv^T and vu^T are matrices of size n x n that represent the outer product of u and v.
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What is the y=mx+b formula for these points: (67,67), (65,65), (63,63), (69,69), (57,57), (65,65), (68,66), (48,48), (72,72)?
The y = mx + b formula for these points is y = 2x - 67.
What is the point-slope form?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 points.Based on the information provided, we can logically deduce the following data points on the line:
Points on x-axis = (67, 65).Points on y-axis = (67, 65).At point (67, 67), a linear equation of this line can be calculated in slope-intercept form (y = mx + b) as follows:
y - 67 = (65 - 67)/(65 - 67)(x - 67)
y - 67 = 2(x - 67)
y = 2x - 134 + 67
y = 2x - 67
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comment savoir si un graphique est proportionnelle ?
Answer:
Pour savoir si un graphique est proportionnel, il faut vérifier si les valeurs de la variable indépendante (l'axe des x) sont proportionnelles aux valeurs de la variable dépendante (l'axe des y). Cela signifie que si on multiplie les valeurs de la variable indépendante par un facteur constant, les valeurs de la variable dépendante seront également multipliées par ce même facteur constant.
Un moyen de vérifier si un graphique est proportionnel est de tracer une ligne droite à travers les points de données. Si tous les points se trouvent sur cette ligne droite, alors le graphique est proportionnel. Si les points ne se trouvent pas sur une ligne droite, alors le graphique n'est pas proportionnel.
Il est également possible de calculer le coefficient de proportionnalité en divisant chaque valeur de la variable dépendante par la valeur correspondante de la variable indépendante. Si le résultat est constant pour toutes les paires de valeurs, alors le graphique est proportionnel.
Enfin, il convient de noter que la proportionnalité n'est qu'un type de relation entre deux variables et que d'autres types de relations peuvent exister, tels que les relations exponentielles, logarithmiques ou quadratiques.
Step-by-step explanation:
6. Find the area and perimeter of the following figure.
3 5/6
4 4/3
3
The area is 5.627 square units and the perimeter is 12.167 units of the given figure.
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbol Δ.
perimeter of the given figure = 3 5/6 + 4 4/3 + 3
perimeter of the given figure = 12 1/6 = 73/6 = 12.167 units
Area of triangle = √[s(s – a)(s – b)(s – c)],
where s is the semi-perimeter of the triangle, and a, b, and c are the lengths of the three sides of the triangle.
According to the given question, we have
a = 3 5/6
b = 4 4/3
c = 3
s = (3 5/6 + 4 4/3 + 3)/2 = 12.167/2 = 6.083
Substitute the values in the area formula, and we get
Area of triangle = √[6.083(6.083 – 3 5/6)(6.083 – 4 4/3)(6.083 – 3)]
Area of triangle = 5.627 square units
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The question seems incomplete, the missing figure has been attached below.
Agustín pagó $ 120 por una carpeta y dos paquetes de hojas; mientras que Mauricio pagó $ 190 por
costo de una carpeta y de un paquete de hojas. Después resuelve dicho sistema.
tres paquetes de hojas y dos carpetas. Plantea un sistema de ecuaciones que permita calcular el costo de una carpeta y de un paquete de hojas
Ayúdenme por favor
The cost of a folder is: $20
The cost of a package of sheets is $50.
How do we calculate cost of each folder and pack of sheets?The system of equations with variables:
C: number of foldersQ: number of packs of sheets
Juan paid 120 pesos for a folder and 2 packages of sheets:
C + 2P = 120
Clearing C:
C = 120 - 2P
Manuel paid 190 pesos for 3 packages of sheets and 2 folders:
2C + 3P = 190
Substituting the "C":
2 * (120 - 2P) + 3P = 190
240 - 4P + 3P = 190
-P = 190 - 240
-P = -50
P = $50
The price for a folder is:
C = 120 - 2 * 50
C = $20
Translated question "Juan paid 120 pesos for a folder and 2 packages of sheets while Manuel paid 190 pesos for 3 packages of sheets and 2 folders.Calculate the cost of a folder and a package of sheets."
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Where can the bisectors of the angles of an obtuse triangle intersect?
Answer: Hello! I'm JK!.....
B. I Only. (inside the triangle)
Step-by-step explanation:
I really hope this helps you. XoXoGoldenMaknae <3
For your birthday, you received a $15 gift card to your favorite arcade. All of the games at the arcade cost $0.75. Complete the equation to represent the total amount of money, m, remaining on the gift card after playing g arcade games.For your birthday, you received a $15 gift card to your favorite arcade. All of the games at the arcade cost $0.75. Complete the equation to represent the total amount of money, m, remaining on the gift card after playing g arcade games.For your birthday, you received a $15 gift card to your favorite arcade. All of the games at the arcade cost $0.75. Complete the equation to represent the total amount of money, m, remaining on the gift card after playing g arcade games.
The required equation model the situation total amount of money, m, remaining on the gift card after playing g arcade games as m = $15 - 0.75g.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let's start by representing the total amount of money spent on playing arcade games as 0.75g.
Since the gift card has a value of $15, the total amount of money remaining on the gift card after playing g games can be represented as:
m = $15 - 0.75g
This equation represents the total amount of money remaining on the gift card after playing g games, where m is the remaining amount and g is the number of games played.
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There's a 30% chance of it raining each day in Narnia. On how many days would you expect it to rain during your visit there that lasts 110 days?
Answer:
Step-by-step explanation:
Since there is a 30% chance of rain on any given day, there is a 70% chance that it will not rain on a given day.
To calculate the expected number of days it will rain during your visit, we can use the formula:
Expected number of rainy days = total number of days * probability of rain
Expected number of rainy days = 110 days * 0.3 = 33 days
Therefore, we can expect it to rain on approximately 33 days during a 110-day visit to Narnia.
What are the basic means of differentiation?
In mathematics, differentiation refers to the process of finding the derivative of a function. The basic means of differentiation include:
Limit definition: The derivative of a function is defined as the limit of the difference quotient as the interval over which the quotient is taken approaches zero.
Power rule: The derivative of a function of the form f(x) = xⁿ is given by f'(x) = nx⁽ⁿ⁻¹⁾
Product rule: The derivative of a product of two functions u(x) and v(x) is given by (u × v)'(x) = u'(x) × v(x) + u(x) × v'(x).
Quotient rule: The derivative of a quotient of two functions u(x) and v(x) is given by (u/v)'(x) = [u'(x) × v(x) - u(x) × v'(x)] / v(x)².
Chain rule: The derivative of a composition of functions f(g(x)) is given by f'(g(x)) × g'(x).
These basic means of differentiation are essential tools for analyzing and modeling functions in calculus and related fields.
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I need to find the table for a parabola and the equation is
y=-2x^2+8x
The table for the parabola is
x y
-2 24
0 0
2 8
4 0
6 -24
How to create the table for the parabolaTo create a table for a parabola with equation y = -2x^2 + 8x, we can simply plug in values of x and solve for y.
with x-values from -2 to 6,:
For x = -2, y = -2(-2)^2 + 8(-2) = -24
For x = 0, y = -2(0)^2 + 8(0) = 0
For x = 2, y = -2(2)^2 + 8(2) = 8
For x = 4, y = -2(4)^2 + 8(4) = 0
For x = 6, y = -2(6)^2 + 8(6) = -24
To plot the parabola on a graph, we can plot the points from the table and draw a smooth curve through them. The graph of y = -2x^2 + 8x looks like a downward-facing parabola with its vertex at the point (2, 8).
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An employee put $7,000.00 in a retirement account that offers 5% interest compounded annually. The employee makes no additional
deposits or withdrawals. Which amount is closest to the interest the employees will have earned at the end of 4 years?
A
x B $7,350.00
1x C
$1,400.00
D
$1,508 54
$8,508.54
Answer:
$1508.54
Step-by-step explanation:
A = p(1 + [tex]\frac{r}{n}[/tex])^nt
A = 7000(1+ .05)^4
A = 7000(1.05)^4
A = 8508.54 This is the total amount (principle and interest
Subtract out the principle
8508.54 - 7000 = 1508.54
5.) Yesterday your friend made needs to make 3 more gallons of the same shade. She 1 gallon of dark pink paint using the information in the table. Today she
white tint to 3 gallons of base paint. Explain the error in her reasoning. says that she should add 9 parts red tint and 2 parts
Your friend's mistake when wanting to make a new mixture of pink paint is that she is only going to add 2 parts of white paint, the correct formula would be 3.
What is error?Error is, the difference between a true value and an estimate, or approximation, of that value.
Given that, yesterday your friend made needs to make 3 more gallons of the same shade. She 1 gallon of dark pink paint using the information in the table, (attached in solution)
The calculation of how much paint you need to make 3 gallons of Pink paint :-
To mix 3 gallons of pink paint we must take into account the following information:
1 gallon of pink paint is equal to 3 parts red paint and 1 part white paint.
To find out how many parts we need to prepare 3 gallons of pink paint we must multiply the mix values for a gallon by 3.
Red paint:
3 x 3 = 9
White paint:
1 x 3 = 3
We need to use 3 parts white paint and 9 parts red paint to make 3 gallons of pink paint.
Hence, She needs to add 3 parts of white paint and 9 parts of red paint. The error is she added 2 parts of white paint.
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The question is incomplete so, I attached the graph.
The diagram shows the relative positions of three MRT stations.
Find the bearing of
(a) W from O
(b) O from CA
(c) CA from W
The bearing are as follows:
(a) W from O = 70 degree south by east
(b) O from CA = 17 degree south by west
(c) CA from W = 21 degree west by north
What is angle ?
In geometry, an angle is the measure of the amount of rotation between two intersecting lines or surfaces, typically measured in degrees or radians.
An angle is formed when two lines or surfaces intersect at a point, which is called the vertex of the angle. The two lines or surfaces that form the angle are called the arms or sides of the angle. Angles are usually denoted using the vertex point, with a small angle symbol (such as ∠ABC).
What is corresponding angle ?Corresponding angles are a pair of angles that are in the same relative position at two different intersections of a line and a pair of parallel lines. In other words, if two parallel lines are intersected by a third line (called a transversal), then any pair of angles that are in the same position relative to the parallel lines are corresponding angles.
According to given conditions :a. 70 degree south by east
b. 17 degree south by west
c. 21 degree west by north
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AThe bearing are as follows:
(a) W from O = 70 degree south by east
(b) O from CA = 17 degree south by west
(c) CA from W = 21 degree west by north
What is angle ?
In geometry, an angle is the measure of the amount of rotation between two intersecting lines or surfaces, typically measured in degrees or radians.
An angle is formed when two lines or surfaces intersect at a point, which is called the vertex of the angle. The two lines or surfaces that form the angle are called the arms or sides of the angle. Angles are usually denoted using the vertex point, with a small angle symbol (such as ∠ABC).
What is corresponding angle ?
Corresponding angles are a pair of angles that are in the same relative position at two different intersections of a line and a pair of parallel lines. In other words, if two parallel lines are intersected by a third line (called a transversal), then any pair of angles that are in the same position relative to the parallel lines are corresponding angles.
According to given conditions :
a. 70 degree south by east
b. 17 degree south by west
c. 21 degree west by north
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Tony has a rectangular piece of cardboard that will have congruent squares removed from its corners with a length of 3 inches. The length of the piece of cardboard is four times larger than its width. Tony also know that the volume of the box he is able to create from this piece of cardboard is 336 cubic inches. What are the dimension of this box?
The dimensions of the box are given as follows:
Length of 3 inches.Width of 0.75 inches.Height of 149.3 inches.How to obtain the volume of the rectangular prism?The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, as follows:
Volume = length x width x height.
The parameters for this problem are given as follows:
Length of 3 inches.Width of 1/4 x 3 = 0.75 inches.Volume of 336 cubic inches.Hence the height of the cardboard is given as follows:
3 x 0.75 x h = 336
h = 336/(3 x 0.75)
h = 149.3 inches.
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35 cm
What is the volume of the solid shown above?
1 cm
3 cm
The volume of the solid shown can be found to be 105 cm ³ .
How to find the volume ?The volume of the solid can be found by the formula :
= Length x Width x Height
This is because this is a rectangular prism and their volumes require multiplying the sides of the rectangle in the above manner .
The volume of the solid is therefore:
= 35 x 1 x 3
= 35 x 3
= 105 cm ³
In conclusion, the volume of the solid would be 105 cm ³ .
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For what interval is f(x)=2x+10 positive?
Answer:
[tex]x>-5[/tex]
Step-by-step explanation:
[tex]2x+10>0 \implies 2x>-10 \implies x>-5[/tex]