The area of the carpet is [tex]2 7/20[/tex] square meters.
The size of a patch on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
To find the area of the carpet, we need to multiply its length by its width.
The mixed numbers must first be transformed into improper fractions:
Length: 21/4 = 9/4
Width: 11/5 = 6/5
Then we can multiply:
Area = length x width
Area = (9/4) x (6/5)
Area = 54/20 or 27/20 square meters
Therefore, the area of the carpet is 27/20 square meters.
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The total area under a probability distribution equals 1.
A.) True
B.) False
This is true because a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.
The area under the probability distribution is a measure of the probability of all the possible outcomes. Since the sum of all the probabilities of all the possible outcomes must be 1, the total area under the probability distribution must also be 1. This is because the probability of an event happening is the area under the curve of the probability distribution at that event. Thus, the total area under the probability distribution must always equal 1.
This is true because a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.
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How to convert teaspoons to ml
To convert 1 teaspoon to 1 ml multiply the volume by the conversion ratio of 4.928922.
Add the volume to the conversion ratio to convert a teaspoon measurement to a millilitre measurement.
You may convert between teaspoons and milliliters using the following straightforward formula:
tablespoons in milliliters = 4.928922
One-third of a tablespoon's volume is represented by a teaspoon. [1] Although a teaspoon is roughly equivalent to 4.9 millilitres, on nutrition labels, a teaspoon is actually equal to 5 millilitres.
The teaspoon is a common volume measurement in the US. Teaspoons can be written as tsp, although they can also be spelled as t, ts, or tspn.
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Which numbers could represent the lengths of a triangle
A.5,9,14
B.7,7,15
C.1,2,4
D.3,6,8
The lengths of a triangle must satisfy the triangle inequality which states that the sum of any two sides must be greater than the third side.
For option A:
5 + 9 = 14, which satisfies the triangle inequality. However, 5 + 14 = 19, which is not greater than 9. Therefore, this set of numbers does not satisfy the triangle inequality.
For option B:
7 + 7 = 14, which is less than 15. Therefore, this set of numbers does not satisfy the triangle inequality.
For option C:
1 + 2 = 3, which satisfies the triangle inequality. However, 1 + 4 = 5, which is not greater than 2. Therefore, this set of numbers does not satisfy the triangle inequality.
For option D:
3 + 6 = 9, which satisfies the triangle inequality. 3 + 8 = 11 and 6 + 8 = 14, both of which are greater than 8. Therefore, this set of numbers satisfies the triangle inequality.
So, the numbers 3, 6, and 8 could represent the lengths of a triangle. Therefore, the answer is option D.
Answer:
A and D
Step-by-step explanation:
you would have to test each option using the triangle inequality theorem
which is when the sum of any two sides of the triangle are greater than or equal to the third side
A) 5+9 [tex]\geq[/tex] 14 true
5+14 [tex]\geq[/tex] 9 true
14+9 [tex]\geq[/tex] 5 true
B) 7+7 [tex]\geq[/tex] 15 false This answer can be eliminated
C) 1+2 [tex]\geq[/tex] 4 false This answer can be eliminated
D) 3+6 [tex]\geq[/tex] 9 true
3+8 [tex]\geq[/tex] 6 true
6+9 [tex]\geq[/tex] 3 true
Which of the following shapes has volume?
circle
cube
rectangle
square
Solve for the variable.
B.
3x
A
4x - 1
О
F
x2-x-2
D
The value of the variable x in the trapezium is 6 .
How to find variable in a trapezium?The diagram above is a trapezium. The mid segment of the trapezium is EF. The midsegment of a trapezoid is the segment connecting the midpoints of the two non-parallel sides.
Therefore, using the mid segment rule,
EF = 1 / 2 (AB + CD)
EF = 4x - 1
AB = 3x
CD = x² - x - 2
Therefore,
4x - 1 = 1 / 2(3x + x² - x - 2)
4x - 1 = 1 / 2 (x² + 2x - 2)
8x - 2 = x² + 2x - 2
x² + 2x - 8x = 0
x² - 6x = 0
x² = 6x
x = 6
Therefore,
x = 6
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Which equation matches the graph? A. f(x) = 2x – 4 B. f(x) = –3x – 4 C. f(x) = 3x – 4 D. f(x) = 4x + 2
y = 3x - 4 is the equation of the line in slope intercept form. Option C is correct
Equation of a line in point slope formThe formula for calculating the equation of a line in point slope form is expressed as:
y - y0 = m(x - x0)
where:
m is the slope
(x0, y0) is the point on the line
Using the coordinate points (2, 2) and (0, -4). The slope is calculated as:
Slope = -4-2/0-(2)
Slope = -6/-2
Slope = 3
The required equation will therefore be expressed as:
y + 4 = 3(x - 0)
y + 4 = 3x
y = 3x - 4
Hence the slope-intercept form of the equation is y = 3x - 4
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HELPPPP PLSSS!!!
4) Practice: Summarizing
Write x1, y1, x2, and y2 in the blanks to complete the formula.
slope = -----------
how tall is 155mm to inches
nswer:
Step-by-step explanation:
6102.36 inches
Rember that you multiply the lentclength value by 39.37
what is trig identities calculator?
A trigonometric identities calculator is an online tool that helps you simplify or prove trigonometric identities using various trigonometric formulas and rules.
Describe Equation?In mathematics, an equation is a statement that asserts the equality of two expressions. An equation contains one or more variables, which are unknown values that can vary or change. The variables are usually represented by letters such as x, y, or z. The expressions on either side of the equals sign can be constants, variables, or functions of variables.
The simplest form of an equation is a linear equation, which can be represented as ax + b = c, where a, b, and c are constants and x is a variable. To solve a linear equation, we need to find the value of the variable that makes the equation true. This is done by performing arithmetic operations on both sides of the equals sign to isolate the variable.
Equations can also be more complex, involving multiple variables, powers, and functions. In such cases, algebraic techniques such as factoring, substitution, and solving systems of equations may be required to find the solution.
Equations are used to describe relationships between variables in many fields of study, including physics, chemistry, economics, and engineering. They are also used in everyday life, such as in calculating the cost of a purchase after applying a discount, or determining the amount of time it takes to travel a certain distance
Trigonometric identities are equations that involve trigonometric functions and are true for all values of the variables involved. These identities are used to simplify expressions involving trigonometric functions, and can be helpful in solving trigonometric equations and evaluating trigonometric functions.
Trigonometric identities calculators can be helpful for students studying trigonometry, as well as for professionals who use trigonometric functions in their work. These calculators typically allow you to enter the trigonometric expression or equation you want to simplify or prove, and then apply various trigonometric identities and rules to arrive at the final result.
There are many online trigonometric identities calculators available that can be accessed for free, including some that provide step-by-step solutions to help you understand how the identities are being applied.
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what is 3 sided die?
The 3 sided die is a unique type of dice with three sides instead of the usual six, and the probability of rolling any of the sides is equal to 1/3 or 33.3%.
A 3 sided die, also known as a triangular or tetrahedral die, is a unique type of dice that has three sides instead of the usual six. It is often used in games, puzzles, and simulations that require a random number generator.
Mathematically speaking, the probability of rolling any of the three sides on a 3 sided die is equal to 1/3 or 33.3%. This is because each of the sides has an equal chance of landing face up when the die is rolled.
To calculate the probability of rolling a specific number on a 3 sided die, we divide the number of ways that number can appear by the total number of possible outcomes.
For example, if we want to know the probability of rolling a 2, we would divide 1 (since there is only one side with a 2) by 3 (the total number of sides on the die). This gives us a probability of 1/3 or 33.3%.
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Which equation below matches the following verbal expression?
Three less than twice a number (x) is greater than the sum of seven and eight.
A
2x – 3 > 7 + 8
B
2x – 3 < 7 + 8
C
3 – 2x < 7 + 8
D
3 – 2x > 7 + 8
The correct inequality is the one in option A.
2x – 3 > 7 + 8
Whihc inequality matches the following verbal expression?Here we know that:
"Three less than twice a number (x) is greater than the sum of seven and eight."
The first part:
"Three less than twice a number (x)"
Is written as:
2x - 3
The last part "... is greater than the sum of seven and eight."
Would be:
2x - 3 > 7 + 8
So that is the correct inequality, then the correct option is A.
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PLEASE ANSWER QUICKLY I NEED HELP AND ITS DUE IN 2 HRS
A graph that represents the number of books made in 4 hours include the following: B. graph B.
How to write the required linear inequality?In order to write a linear inequality to describe this situation, we would assign variables to the number of books and the number of hours respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of hours.Let the variable x represent the number of books.Since this printer makes more than three (3) copies of book every hour, a linear inequality which models or represents this situation is given by:
y > 3x
When the number of hours, x = 4 hours, the number of books made can be calculated as follows;
y > 3x
y > 3(4)
y > 12.
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I need help with this math problem. It should be relatively easy, please show working out. 20 points!
Answer:
35 degrees
Step-by-step explanation:
The direction "North" is parallel to itself, because of the reflexive property of parallel lines. Using the alternate interior angles theorem, the measure of x + 25 must be equal to 60 degrees. 60 - 25 = 35
Answer:
x = 35°
Step-by-step explanation:
The angle made by the directional line from wharf to Shell Cove relative to North is 60° at the point of departure from the wharf
The angle that this same line makes at the point of arrival at Shell Cove must be 60° relative to North since the two North directions are perpendicular and the line connecting the wharf and shell cove is a transversal intersecting these lines
This is because of the property that when two parallel lines are intersected by a transversal, the alternate interior angles must be the same
The angle made by this transversal at Shell Cove = x + 25 degrees
Since (x + 25)° = 60°
x = 60° - 25°
x = 35°
how to convert 4.5 million yen to usd?
As per the exchange rate, 4.5 million YEN is equivalent to 41,145 USD.
The first step in converting currency is to determine the current exchange rate between the two currencies. In this case, we will need to find the exchange rate between Japanese yen (JPY) and US dollars (USD). As of writing this, the exchange rate is 1 USD = 109.62 JPY.
Next, we will use the conversion factor to convert 4.5 million JPY to USD. To do this, we need to multiply the amount of JPY by the conversion factor, which is the exchange rate.
1 USD / 109.62 JPY = 0.00913 USD/JPY
Now, we can use this conversion factor to convert 4.5 million JPY to USD.
4.5 million JPY * 0.00913 USD/JPY = 41,145 USD
Therefore, 4.5 million JPY is equivalent to 41,145 USD.
In conclusion, converting currency from one form to another may seem challenging, but with the help of conversion factors, it becomes simple. Just remember to multiply the amount of the original currency by the conversion factor to get the equivalent value in the desired currency.
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How to convert 1.77 meters to feet?
After converting 1.77 meters to feet its value is equal to 5.8071 feet ( approximately ) .
Conversion of meters to feet we get,
Meter and feet both are the units used to measure length.1 meter is equal to 3.28084 feet
Substitute the value given meters to convert into feet.
Now convert 1.77 meters to feet
⇒ 1.77 meters = ( 1.77 ) × ( 3.28084 ) feet
⇒ 1.77 meters = 5.8070868 feet
⇒ 1.77 meters = 5.8071 feet ( approximately )
Therefore, the conversion unit of 1.77 meters to feet is given by 5.8071 feet ( approximately ) .
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Suppose we pick three people at random. For each of the following questions, ignore the special case where someone might be born on February 29th, and assume that births are evenly distributed throughout the year (a) What is the probability that the first two people share a birthday? (b) What is the probability that at least two people share a birthday?(c) What is the probability that all three people share a birthday? (d) What if there were 15 people, what is the probability that at least one pair share a birthday? (e) What if there were 23 people, what is the probability that at least one pair share a birthday?
Answer:
a) The probability that the first two people share a birthday is 0.97 or 97%.
b) The probability that at least two people share a birthday is 0.99 or 99%.
c) The probability that all three people share a birthday is 0.0015 or 0.15%.
d) The probability that at least one pair of 15 people share a birthday is 0.58 or 58%.
e) The probability that at least one pair of 23 people share a birthday is 0.87 or 87%.
through: (1, 1), perp. to y = -1/5x+1
A) y = 5x - 4
C) y = -2x - 4
B) y = 4x - 2
D) y = -4x - 2
And can you pleaseeee explain how it’s done? I’m so confused
The equation of the line through (1, 2) which is perpendicular to y =(-1/5)x + 1 is y = 5x - 4
What is an equation?
An equation is an expression that shows the relationship between two numbers and variables using mathematical operations like addition, subtraction, multiplication, exponents
The standard form of a linear function is:
y = mx + b
where m is the rate of change (slope) and b is the y intercept
Two lines are perpendicular if the product of their slope is -1.
Given the line y =(-1/5)x + 1. The line perpendicular to y =(-1/5)x + 1 would have a slope of 5.
The line perpendicular to y =(-1/5)x + 1 that includes the point (1, 1), is:
y - y₁ = m(x - x₁)
substituting:
y - 1 = 5(x - 1)
y = 5x - 4
The equation of the line is y = 5x - 4
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Determine if the sequence is geometric. If it is, find the common ratio. If there is no ratio, write none. −3, −15, −75, −375,
Answer:
Common Ratio = 5
Step-by-step explanation:
See picture below :)
To win at LOTTO in one state, one must correctly select 7 numbers from a collection of 50 numbers (1 through 46). The order in which the selection is made does not matter. How many different selections are possible?
The total number of possible selections is 18,643,560. This is calculated using the combination formula nCr.
In nCr, n is the total number of objects (50) and r is the number of objects to be selected (7). This is equal to 50C7, which can be written as
50!/(7!*(50-7)!), or 18,643,560.To explain this further, the combination formula is used to find the total number of combinations when selecting a certain number of objects from a larger set. In this case, we are selecting 7 numbers from a set of 50, so the total number of combinations is 18,643,560.
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You eat at a restaurant for $22. You calculate the tip by multiplying $22 by 0.20. You calculate the tax by multiplying $22 by 0.05. How much did you pay for the meal, including the tip and the tax?
Answer: $27.50
(correct me if i'm wrong, please)
Step-by-step explanation:
(22) + (22 * 0.20) + (20 * 0.05)
22 + 4.40 + 1.10
22 + 5.50
= $27.50
True or false 5. An equilateral triangle has 3 equal sides and 3 acute angles.
trueeeeeeeeeeeeeeeee
whats the volume of 9cm 7cm 6cm
Answer:
The combined volume of 9cm, 7cm, and 6cm is 378cm³ if a rectangular prism or cube
Step-by-step explanation:
To find the volume of a 3-dimensional prism or cube you need to find the Area of the Base and Height and multiply them.
Equation = Bh
Since there are only 3 different numbers you just need to multiply them together.
I hope this was helpful!
2 more than 3 lots of a number is equivalent to 8 lots of the number.
If 2 more than 3 lots of a number is equivalent to 8 lots of the number, then the number is 2/5
Let's call the unknown number "x".
According to the problem statement, "2 more than 3 lots of a number" can be written as:
3x + 2
And "8 lots of the number" can be written as:
8x
The problem states that these two expressions are equivalent, so we can set them equal to each other
The equation will be
3x + 2 = 8x
Now we can solve for x:
3x + 2 = 8x
Move 8x to left hand side of the equation
-5x = -2
x = 2/5
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Which expression is equivalent to |x| < 11?
Responses
x > –11 or x < 11
x > –11 or x < 11
x < –11 and x > 11
x < –11 and x > 11
x < –11 or x > 11
x < –11 or x > 11
x > –11 and x < 11
Answer:
x > -11 and x < 11
Step-by-step explanation:
Find the absolute value of a number gives you its distance from zero, which is just the numerical parts of it. From this we can reason that the numbers between -11 and 11 have an absolute value less than 11, as they are the numbers that are less than 11 away from zero. This can be represented as -11 < x < 11, and can be separated into x > -11 and x < 11 (the "and" is because x has to fulfill both conditions of being greater than -11 and less than 11).
how to convert 25 kilometers to miles?
25 kilometers is approximately equal to 15.5343 miles ( rounded to four decimal places )
The conversion factor from kilometers to miles is 0.621371.
The conversion is the process of changing the unit of one quantity to another units
The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing
So, to convert kilometers to miles you can multiply the number of kilometers by 0.621371.
The distance in kilometer = 25 kilometers
The distance in miles = conversion factor × The distance in kilometer
Substitute the values in the equation
The distance in miles = 25 × 0.621371
Multiply the numbers
= 15.5343 miles (to three decimal places).
Therefore, 25 km is 15.5343 miles
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Brandon reads a study that says the median usage for gaming apps is 94 minutes per week, with an interquartile range of 145 minutes. The study also says the median usage for social media apps is 117 minutes per week, with an interquartile range of 190 minutes.
What can vou conclude from these statistics? Complete the sentence.
While the median usage for both types of apps is relatively similar, the usage range for gaming apps is much narrower than that of social media apps
From these statistics, we can conclude that gaming apps have a much narrower usage range than social media apps. To understand this concept, let's look at the interquartile range for each type of app.
The interquartile range (IQR) is the range of values between the 25th percentile and the 75th percentile of a given data set.
In this case, the IQR for gaming apps is 145 minutes, while the IQR for social media apps is 190 minutes.
This indicates that gaming apps have a much narrower range of usage than social media apps.
The median usage for gaming apps is 94 minutes, while the median usage for social media apps is 117 minutes.
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Answer: less than and less than
Step-by-step explanation: got it wrong by listening to the other answer :\
what is the difference between relative frequency and cumlative relative frequency
The difference between relative frequency and cumulative relative frequency is that relative frequency is the ratio of the frequency of a particular value in a dataset to the total number of values, expressed as a percentage. Cumulative relative frequency is the sum of all relative frequencies up to a certain point in the data set.
For example, if a data set has 8 values and 4 are the same, the relative frequency would be 50%. Cumulative relative frequency would be 50% at this point since it is the sum of all relative frequencies up to this point in the data set. If there were another 4 of the same values after this point, the relative frequency would remain at 50%, but the cumulative relative frequency would increase to 100% since it includes all previous relative frequencies.
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(7+x) the power 5
The expression is when x= 3
Answer:
When x=3 the answer is 243
Step-by-step explanation:
3 to the power of 5 (3^5) is 243
Answer:
100000
Step-by-step explanation:
7+x⁵ = 250
x⁵ = 250 - 7
x⁵ = 243
⁵√243 = ⁵√x⁵
x = 3
Then:
(7+x)⁵ = (7+3)⁵ = 10⁵
10⁵ = 100000
how to make 220 lb to kg?
220 lbs is approximately equal to 99.7903 kg ( rounded to four decimal places )
The conversion factor to convert lbs to kilogram is 0.453592
1 lbs = 0.453592 kg
The conversion is the process of changing the unit of one quantity to another units
The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing
The mass in kg = The mass in lbs × conversion factor
Substitute the values in the equation
1 lbs = 0.453592 kg
220 lbs = 220 × 0.453592
Multiply the numbers
= 99.7903 kg ( rounded to four decimal places )
Therefore, 220 lbs is 99.7903 kg
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The height of an arch is modeled by the equation y=-x^(2)-6x+16. Which of the following gives the width of the arch at its base?
Answer:
Para encontrar el ancho del arco en su base, necesitamos encontrar las dos raíces de la ecuación cuadrática y = -x^2 - 6x + 16, que corresponden a los puntos donde la altura del arco es igual a cero.
Vaina
y = -x^2 - 6x + 16
0 = -x^2 - 6x + 16
x^2 + 6x - 16 = 0
Podemos resolver esta ecuación usando la fórmula cuadrática:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
donde a = 1, b = 6 y c = -16.
x = (-6 ± sqrt(6^2 - 4(1)(-16))) / 2(1)
x = (-6 ± sqrt(100)) / 2
x = (-6 ± 10) / 2
Esto nos da dos soluciones posibles:
x1 = (-6 + 10) / 2 = 2
x2 = (-6 - 10) / 2 = -8
La base del arco se extiende desde x = -8 hasta x = 2, por lo que el ancho del arco en su base es:
ancho del arco = 2 - (-8) = 10
Por lo tanto, el ancho del arco en su base es 10.
Step-by-step explanation:
espero te sirva, si no puedes español traducelo
