A farmer is constructing a small fenced in area that can be describe with the ordered pairs (2,3), (2,8), (6,8), and (6,3). The units for both x and y are feet. Make a graph. The find the amount of fencing he will need.
Answers
We need to find the perimeter of the shape given by the coordinates. Let's start by drawing a Cartesian coordinate system and identifying the points. This will give us information about the geometric shape.
A Cartesian coordinate system is given in the photos below and the indicated points [(2,3), (2,8), (6,3) and (6,8)] are marked.
We can see that this shape is a rectangle. A rectangle is home to two sides of different lengths, long and short. To find the perimeter of a rectangle, we add the length of the long side and the length of the short side and multiply the result by [tex]2[/tex]. (Because a rectangle must have [tex]2[/tex] long sides and [tex]2[/tex] short sides).
The rectangle in the figure has a long side length of [tex]5[/tex] feet and a short side length of [tex]4[/tex] feet.
Perimeter: [tex]2(L+S) = 2(5+4)=18ft.[/tex]
Related Questions
Question 3(Multiple Choice Worth 2 points)
(Comparing Data MC)
The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.
Which drive-thru is able to estimate their wait time more consistently and why?
Burger Quick, because it has a smaller IQR
Burger Quick, because it has a smaller range
Super Fast Food, because it has a smaller IQR
Super Fast Food, because it has a smaller range
Answers
Burger Quick's box plot has a larger IQR than Super Fast Food's, hence Super Fast Food is better able to predict their wait time
Define IQR?
A measurement of statistical dispersion, or the spread of the data, is the interquartile range (IQR). It is described as the variation between the data's 75th and 25th percentiles. The fourth spread, middle 50%, midspread, or H-spread1 are further names for the IQR.
The dataset is displayed using a box plot, which is a standardized method based on the five-number summary of the minimum, maximum, sample median, and first and third quartiles
The box plot displays measurements made from data acquired from interviews with 20 people on how long they waited at a drive-through restaurant window.
Burger Quick's box plot has a larger IQR than Super Fast Food's, hence Super Fast Food is better able to predict their wait time.
A data set is divided into quartiles to calculate the IQR (Interquartile Range), which is a measure of variability. The first quartile (Q1) is subtracted from the third quartile (Q3) to determine it.
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the weights of steers in a herd are distributed normally. the variance is 40,000 and the mean steer weight is 1100lbs . find the probability that the weight of a randomly selected steer is between 1000 and 1520lbs . round your answer to four decimal places.
Answers
The probability that the weight of a randomly selected steer is between 1000 and 1520lbs is approximately 0.9192, or 91.92%.
How the probability is between 1000 and 1520lbs is approximately 0.9192, or 91.92%?We are given the variance of the population as 40,000. The standard deviation is the square root of the variance, so we can calculate it as follows:Standard deviation = sqrt(variance) = sqrt(40,000) = 200
We want to find the probability that a randomly selected steer has a weight between 1000 and 1520lbs. We need to standardize these values using the formula:z = (x - μ) / σ
where z is the standardized value, x is the value of interest, μ is the mean, and σ is the standard deviation.
For x = 1000:
z1 = (1000 - 1100) / 200 = -0.5
For x = 1520:
z2 = (1520 - 1100) / 200 = 2.1
Now that we have the standardized values, we can use a standard normal distribution table or a calculator to find the area under the normal curve between z1 and z2.Using a calculator, we can use the normal cdf function with the z-scores to find the area between z1 and z2:
P(z1 < z < z2) = normal cdf(-0.5, 2.1) ≈ 0.9192
Rounding to four decimal places, we get:
P(1000 < x < 1520) ≈ 0.9192
Therefore, the probability that the weight of a randomly selected steer is between 1000 and 1520lbs is approximately 0.9192, or 91.92%.
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multiple regression is a technique which? allows researchers to predict a criterion variable through a single predictor. indicates the strength of a correlation between variables. indicates the percentage of different quotas in a population. allows researchers to explain a criterion variable through an accurate combination of two or more predictor variables
Answers
Multiple regression is a technique which allows researchers to explain a criterion variable through an accurate
combination of two or more predictor variables.
Regression is a statistical measure used in finance, investing and other disciplines that attempts to determine the
strength of the relationship between one dependent variable (usually denoted by Y) and a series of other changing
variables (known as independent variables).
Multiple regression is a statistical method used to analyze the relationship between a dependent variable and multiple
independent variables.
It is often used to estimate the effect of a single independent variable on a dependent variable while controlling for
other independent variables.
Multiple regression is a technique that allows researchers to explain a criterion variable through an accurate
combination of two or more predictor variables.
In summary, multiple regression is a technique that allows researchers to explain a criterion variable through an
accurate combination of two or more predictor variables.
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which fractions are equivalent to 14? response - incorrect responses 516 5 over 16 36 3 over 6 316 3 over 16 28 2 over 8 520 5 over 20 416 4 over 16
Answers
The fractions that are equivalent to 14 are 28 2 over 8 520 5 over 20 416 4 over 16.
To find the fraction = 14, multiply or divide both the numerator and denominator of 14 by the same number.
The fraction 14 can be written as 14/1.
Multiplying the numerator and denominator of 14/1 by 2 gives:
28/2 = 14
Multiplying the numerator and denominator of 14/1 by 3 gives:
42/3 = 14
Multiplying the numerator and denominator of 14/1 by 4 gives:
56/4 = 14
28/2 = 14
70/5 = 14
So the fraction corresponding to 14 is:
28/2
42/3
56/4
70/5
Of the choices given in the question, only 28 equals 2/8, and 56 equals 4/16 14. Any other option is wrong.
So the correct answer is:
28 2/8
56 4/16 .
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Length ams breadth and height of rectangle block. Ratio is 4:3:5 and its volume is 3840 cm3 calculate length, breadth, height
Answers
The length, breadth, and height of the rectangular block are 256 cm, 192 cm, and 320 cm respectively.
To calculate the length, breadth, and height of a rectangular block whose ratio is 4:3:5 and its volume is 3840 cm3,
follow the steps below:
The ratio of length, breadth, and height is 4:3:5 respectively.
Therefore, assume the length to be 4x, the breadth to be 3x, and the height to be 5x, where x is the common factor.
Then, the volume of the block is calculated as:
Volume = length × breadth × height= 4x × 3x × 5x= 60x³
Since the volume of the block is 3840 cm³, we can equate the equation above to 3840 and solve for x, then find the
length, breadth, and height.
60x³ = 3840 x³ = 3840/60 x³ = 64
Length = 4x = 4 × 64 = 256 cm
Breadth = 3x = 3 × 64 = 192 cm
Height = 5x = 5 × 64 = 320 cm
Therefore, the length, breadth, and height of the rectangular block are 256 cm, 192 cm, and 320 cm respectively.
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Order the steps to solve the equationlog(x2 - 15) = log(2x) form 1 to 5.x2 - 2x - 15 = 0Potential solutions are -3 and 510.00x2 - 15 = 2xX-5 = 0 or x +3=0(x - 5)(x + 3) = 0
Answers
To solve the equation \begin{equation}-\log{\left(x^2 - 15\right)} = \log{\left(2x\right)}\end{equation}, the following steps can be taken:
Apply the logarithmic identity log(a) = log(b) if and only if a = b to obtain the equation x^2 - 15 = 2x.
Move all the terms to one side of the equation to get x^2 - 2x - 15 = 0.
Factor the quadratic expression to obtain (x - 5)(x + 3) = 0.
Use the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero, to get x - 5 = 0 or x + 3 = 0.
Solve for x in each equation to obtain x = 5 or x = -3.
Therefore, the steps to solve the equation log(x^2 - 15) = log(2x) from 1 to 5 are:
Apply the logarithmic identity to get x^2 - 15 = 2x.
Move all the terms to one side of the equation to get x^2 - 2x - 15 = 0.
Factor the quadratic expression to obtain (x - 5)(x + 3) = 0.
Use the zero product property to get x - 5 = 0 or x + 3 = 0.
Solve for x in each equation to obtain x = 5 or x = -3.
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Help ASAP
Which of these cylinders has the same volume as one with a radius of 4 ft and a height of 9 ft?
Select one:
a cylinder with a radius of 9 ft and a height of 16 ft
a cylinder with a radius of 3 ft and a height of 4 ft
a cylinder with a radius of 3 ft and a height of 16 ft
a cylinder with a radius of 9 ft and a height of 4 ft
Answers
A cylinder with a radius of 3 ft and a height of 4 ft has the same volume as one with a radius of 4 ft and a height of 9 ft.
Explain about the cylinders:We can determine how much interior room a cylinder has by measuring its volume. The volume would be the same as how much material would fill the full can if you had one.
Volume of cylinder = π*r²*h
r is the radius and h is the height.
For given cylinder:
r = 4 ft and h = 9 ft
Volume of given cylinder = π*4²*9
Volume of given cylinder = 144π cu. ft.
Now, from the options:
As, its is clear from formula of cylinder that there is a square of radius.
Thus,
take radius r = 3 ft such that r² = 9 ft and height h = 4 ft.
These are the same dimensions as the given cylinder.
Thus, a cylinder with a radius of 3 ft and a height of 4 ft has the same volume as one with a radius of 4 ft and a height of 9 ft.
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Help me with this question?
Answers
The system of equations that represent the question are:
6a + 8p = 6.54
7a + 5p = 5.68
(option D)
What are the system of equations that represent the question?A linear equation is an equation that has a single variable that is raised to the power of one. The general form of a linear equation is y = mx + c
Where:
m = slope c = interceptThe form of the equations in this question are:
(number of apples bought x price of one apple) + (price of one pear x number of pears bought) = total cost of the apples and pears
6a + 8p = 6.54
7a + 5p = 5.68
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The system of equations that represent the question are: 6a + 8p = 6.54 and 7a + 5p = 5.68. Option D
The system of equations that represent the questionA linear equation is an equation with one variable raised to the power of one. It can be written in the form y = mx + c, where m represents the slope and c represents the y-intercept.
The given equations are in the form of:
6a + 8p = 6.54
7a + 5p = 5.68
These equations represent the total cost of buying apples and pears based on their respective prices per unit. 'a' represents the number of apples bought, 'p' represents the number of pears bought.
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help asap assignment closes soon!
Answers
V = 1/3 b^2 • h
Plug in your values:
V = 1/3 (4)^2 • 9
Evaluate:
V = 1/3 (16) (9)
V = 48 ft^3
Hope this helps!
Answer:
48 ft^3
Step-by-step explanation:
Volume = (length x width x height)/3
V = (b times b times h)/3
V = (4 x 4 x 9)/3
V = 144/3
V = 48
(units: cubic feet --> 48 ft^3)
Use the fact that√7 is a solution to the equation x*2=7 to find a decimal approximately of√7 whose square is between 6.9 and 7.1
Answers
Given that √7 is a solution to the equation x² = 7, we can use this equation to find a decimal approximation of √7 that satisfies the given condition.
First, we can estimate that √7 is between 2.5 and 3, since 2² = 4 < 7 and 3² = 9 > 7.
Next, we can try using a decimal approximation of √7, such as 2.6 or 2.7, and square it to see if the result is between 6.9 and 7.1.
If we try 2.6, we get:
(2.6)² = 6.76
Since this is less than 6.9, we can try a larger value, such as 2.7:
(2.7)² = 7.29
Since this is greater than 7.1, we can try a value between 2.6 and 2.7, such as 2.65:
(2.65)² = 7.0225
This result is between 6.9 and 7.1, so a decimal approximation of √7 that satisfies the given condition is approximately 2.65.
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PLEASE HELP
Use your knowledge of the customary system to circle all the quantities that are less than 16 cups.
A. 6 pints
B. 1 gallon
C. 5 quarts
D. 8 pints
E. 3 quarts
Answers
The quantities that are less than 16 cups are: 6 pints (A) and 3 quarts (E).
let's convert each option to cups:
A. 6 pints: There are 2 cups in a pint, so 6 pints × 2 cups/pint = 12 cups.
B. 1 gallon: There are 16 cups in a gallon, so 1 gallon = 16 cups.
C. 5 quarts: There are 4 cups in a quart, so 5 quarts × 4 cups/quart = 20 cups.
D. 8 pints: There are 2 cups in a pint, so 8 pints × 2 cups/pint = 16 cups.
E. 3 quarts: There are 4 cups in a quart, so 3 quarts × 4 cups/quart = 12 cups.
Now, let's see which options are less than 16 cups:
A. 6 pints: 12 cups (less than 16 cups)
B. 1 gallon: 16 cups (not less than 16 cups)
C. 5 quarts: 20 cups (not less than 16 cups)
D. 8 pints: 16 cups (not less than 16 cups)
E. 3 quarts: 12 cups (less than 16 cups)
So, the quantities that are less than 16 cups are: 6 pints (A) and 3 quarts (E).
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show that the numbers 0 to 7 can be written using 3 binary digits (bits). how many bits are required to write the numbers 0 to 6? 0 to 20?
Answers
Six can be represented using 3 bits, but 2⁴ = 16 unique numbers can be represented using four bits. However, 20 can be represented using 5 bits since 2⁵ = 32 unique numbers can be represented using five bits.
How many bits are required to write the numbers 0 to 6? 0 to 20?The question "show that the numbers 0 to 7 can be written using 3 binary digits (bits).Binary numbers are constructed by concatenating bits (binary digits).
Each bit can take on one of two values: 0 or 1. Binary notation is frequently utilized in computer engineering to represent data, instructions, and addresses. Three bits can represent 2³ = 8 unique numbers since each bit has two options (0 or 1).
Thus, the numbers 0 to 7 can be represented using 3 bits since 2³ = 8. We can also figure out how many bits are required to represent the numbers 0 to 6 or 0 to 20.
Six can be represented using 3 bits, but 2⁴ = 16 unique numbers can be represented using four bits. However, 20 can be represented using 5 bits since 2⁵ = 32 unique numbers can be represented using five bits.
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why would you multiply in this problem?
jasper's lawn is 3/4 of an acre is size. the fertilizer bag states that 5 1/2 bags are required for 1 acre. how many bags does jasper need to fertilize his lawn.
Answers
the fertilizer bag states that 5 1/2 bags are required for 1 acre. then Jasper needs 33/8 bags of fertilizer to fertilize his lawn.
To solve this problem, you need to find out how many bags of fertilizer Jasper needs to fertilize his lawn, which is 3/4 of an acre in size.
To do this, you need to use the information given on the fertilizer bag, which states that 5[tex]\frac{1}{2}[/tex] bags are required for 1 acre of land.
You can then set up a proportion to find out how many bags Jasper needs. Since Jasper's lawn is 3/4 of an acre in size, you can set up the proportion as follows:
5 [tex]\frac{1}{2}[/tex] bags / 1 acre = x bags / 3/4 acre
To solve for x, you can cross-multiply and simplify:
5 1/2 bags * 3/4 acre = x bags * 1 acre
(11/2) * (3/4) = x
(33/8) = x
Therefore, Jasper needs 33/8 bags of fertilizer to fertilize his lawn. You would multiply in this problem to solve for the unknown variable, x, which represents the number of bags of fertilizer that Jasper needs.
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PLEASE HELPP
Darci works part-time at a bakery earning $12.10 an hour. In the last five days, her time card shows that she worked 4.7, 7.3, 6.4, 5.8, and 5.1 hours. What is her gross pay for the five days?
A)$451,00
B)$531.80
C)$354.53
D)$56.87
Answers
Answer:
Option C.
Step-by-step explanation:
Gross pay = (total hours works) * pay rate
= (4.7 + 7.3 + 6.4 + 5.8 + 5.4) * 12.1
= 29.6 * 12.1
= $358.16
This number is closest to 354.53, so C is the correct answer.
Sandra uses the formula, P = DB, to find her approximate six-month premium when her driver risk factor, D, is 1.0 and the basic six-month premium is $567.
What will her monthly premium be?
A. $170.00
B. $177.50
C. $94.50
D. $201.15
Answers
P = DB = (1.0)($567) = $567
To find the monthly premium, we divide the six-month premium by 6:
Monthly premium = P/6 = $567/6 = $94.50
Therefore, the monthly premium for Sandra is $94.50, which is option C.
y=3.5x+5 and y=4x+2 when will they be the same
Answers
3.5x + 5 = 4x + 2
Subtracting 3.5x and 2 from both sides, we get:
5 - 2 = 4x - 3.5x
Simplifying, we have:
0.5x = 3
Dividing both sides by 0.5, we get:
x = 6
Therefore, the two equations will be the same when x is equal to 6. To find the corresponding value of y, we can substitute x=6 into either equation. Using the first equation, we get:
y = 3.5(6) + 5 = 27
Using the second equation, we get:
y = 4(6) + 2 = 26
So when x=6, the two equations have the same value of y, which is 27. Therefore, the two equations intersect at the point (6, 27).
Stuart created a piece of decorative wall art that has the dimensions shown. Fine the area of the wall art
Answers
The calculated area of the wall art is 474 square inches
Calculating the area of the wall art
from the question, we have the following parameters that can be used in our computation:
The composite figure
The area of the figure is the sum of the individual areas
So, we have
Area = 21 * 9 + 9 * 19 + 6 * 19
So, we have
Area = 474
Hence, the area is 474 square inches
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volume of a cylinder geometry problems
Answers
Answer:
81
Step-by-step explanation:
For 1 rod:
V = πr²h
V = 3.14 × (3 cm)² × 20 cm
V = 565.2 cm³
Total volume of steel used: 45,781.2 cm³
45,781.2 cm³ / 565.2 cm³ = 81
Answer: 81
b. using the random table to obtain a systematic sample: 1. list the steps for using the random number table to obtain a systematic sample. 2. what would be the nth value?
Answers
1. To get a systematic sample with a random number table, divide the population size by the desired sample size to obtain the sampling interval, select a random starting point from the first n values where n is the sampling interval, and choose every nth value until the sample size is reached.
2. The nth value is found by dividing the population size by the desired sample size.
Determine the total number of items in the population (N) that you want to sample from. Decide on the desired sample size (n) that you want to obtain from the population.
Calculate the sampling interval (k) by dividing the population size by the desired sample size: k = N / n. Choose a random starting point between 1 and k.
Select every kth item in the population from the starting point until the desired sample size is reached. If the last selection exceeds the population size, start again from the beginning.
The nth value would be the sampling interval (k), which is calculated by dividing the population size by the desired sample size.
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A bike wheel has a radius of 13 inches. About how far does thhe bike wheel travel in 5 rotations? Explain.
Answers
Step-by-step explanation & Answer
C = 2pir = 2pi(13) = 26pi = 81.68"
Which we can easily find.
But that is for 1 rotation in the question it says 5!
So multiply it by 5
81.68 x 5 = 408.4
Thus the answer to your problem is, 408.4
Answer:408.4
Step-by-step explanation:
Evaluate each determinant
Answers
The determinant of the given matrix is -51.
What is determinant?A square matrix's related scalar value is known as a determinant. It is calculated based on the matrix's components using a specified formula. The determinant has several uses in linear algebra, including the resolution of systems of linear equations, the discovery of eigenvalues and eigenvectors, and the assessment of invertibility. If and only if a matrix's determinant is nonzero, the matrix is invertible. The determinant is also employed in other branches of mathematics, such as differential geometry and the determination of the volume of parallelepipeds.
The determinant of the matrix is calculated using the formula:
D = a(ei - fh) - b(di - fg) + c(dh - eg)
Substituting the values we have:
3(-20 - 5(-1)) - (-1)(20 - 54) + 4(2*(-1) - (-2)*(-1)) = -51
Hence, the determinant of the given matrix is -51.
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A chocolate bar takes up an area of 30 cm2. What are the dimensions of the bar, if the length and width have a sum of 13?
Answers
the width is 3 cm
How do you turn 3y+3x=2y-2 into a y=mx+b equation?
Answers
Accοrding tο the given infοrmatiοn, the equatiοn y = -3x - 2 represents the same line as the equatiοn 3y+3x=2y-2.
What is an equatiοn?An equatiοn is a mathematical assertiοn that prοves the equality οf twο expressiοns. The equals sign (=) separates the twο sides, which make up the οbject. The expressiοns in the equatiοn's twο sides may include numerical values, variables, and mathematical οperatiοns like additiοn, subtractiοn, multiplicatiοn, and divisiοn.
Tο turn the equatiοn 3y+3x=2y-2 intο the y=mx+b fοrm, yοu need tο isοlate y οn οne side οf the equatiοn.
First, simplify the left-hand side οf the equatiοn by cοmbining the like terms οf 3y and 3x:
3y + 3x = 2y - 2
3y - 2y = -3x - 2
y = -3x/1 - 2/1
Nοw, the equatiοn is in the y=mx+b fοrm, where m is the slοpe and b is the y-intercept. In this case, the slοpe m is -3 and the y-intercept b is -2.
Therefοre, the equatiοn y = -3x - 2 represents the same line as the equatiοn 3y+3x=2y-2.
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Which two expressions are
equivalent?
A 8 Divided by 3 and 3/8
B 4 divided by 1 and 1/4
C 6 divided by 7 and 6/7
D 9 divided by 2 and 2/9
Answers
Answer:
The two expressions that are equivalent are:
B) 4 divided by 1 and 1/4,
D) 9 divided by 2 and 4/9
Answer: i believe its c
Step-by-step explanation: a division symbol and a fractions bar can mean the same thing.
Line segment has end points what is the length of the line segment
Answers
With given coordinates of the endpoints of line, the length is 17.75 units.
What are coordinates ?
Coordinates are a set of numbers that describe the position or location of a point in space. In a two-dimensional plane, coordinates are typically represented by two values, an x-coordinate and a y-coordinate, which describe the horizontal and vertical position of a point, respectively.
Now,
The length of a line segment in a two-dimensional plane can be calculated using the distance formula:
d=√[(x₂ - x₁)² + (y₂ - y₁)²]
where (x₁, y₁) and (x₂, y₂) = coordinates of the endpoints of the line segment
In this case, the coordinates of the endpoints are (4.25, 6.25) and (22, 6.25)
d = √[(22 - 4.25)² + (6.25 - 6.25)²]
= √[(17.75)² + (0)²]
= √(315.0625)
= 17.75
Therefore,
the length will be 17.75 units.
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45degree , 30degree , 105degree are what triangle?
Answers
The angles 45 degrees, 30 degrees, and 105 degrees do not form a valid triangle.
In a triangle, the sum of the angles must be 180 degrees. However, in this case, the sum of the three angles is:
45 + 30 + 105 = 180
This tells us that these three angles can be arranged in a straight line, but they cannot form a triangle.
In a valid triangle, the sum of the two smaller angles must be greater than the measure of the largest angle. However, in this case, the sum of the two smaller angles (30 degrees and 45 degrees) is only 75 degrees, which is less than the measure of the largest angle (105 degrees).
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Please what’s 7 divided by 70.85 please show work
Answers
Answer:
0.098
Step-by-step explanation:
help, how would i solve this if x = 6
Answers
x = 6 is a valid solution to the equation 3x + 5 = 23.
However, we can give you some general tips on how to approach a math problem when given a specific value of a variable like x = 6:1. Identify the equation or problem that involves x.2.
Replace every instance of x in the equation with the given value, which in this case is 6.3.
Simplify the equation by performing any necessary operations (addition, subtraction, multiplication, division, etc.)4. Solve for the unknown value if possible.
For example, if the equation is 3x + 5 = 23 and x = 6, we would replace every instance of x with 6:
3(6) + 5 = 23
Simplify by multiplying 3 and 6 and adding 5:
18 + 5 = 23
Simplify further by adding 18 and 5: 23 = 23.
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select all of the equations that are equivalent to 3x+5=20-x
Answers
Based on the above, the equivalent equations are 4x = 15 and 4x - 15 = 0.Hence options A and C are correct.
What is the equations about?To determine which equations are equivalent to 3x + 5 = 20 - x, we need to simplify and manipulate the original equation until it has the same form as the other equations. Here's how we can do it:
3x + 5 = 20 - x
Add x to both sides:
4x + 5 = 20
Subtract 5 from both sides:
4x = 15
So the equation 4x = 15 is equivalent to 3x + 5 = 20 - x.
Therefore, the other equations are not equivalent:
4x = 15 can be obtained by adding x to both sides of 3x + 5 = 20 - x, then adding x to both sides again to obtain 4x = 15.4x - 15 = 0 can be obtained by adding x to both sides of 3x + 5 = 20 - x, then adding 15 to both sides to obtain 4x = 15, then subtracting 15 from both sides to obtain 4x - 15 = 0.2x = 25 can be simplified to x = 12.5, which is not the same as the solution to 3x + 5 = 20 - x.-4x + 20 = -5 can be simplified to 4x = 25, which is not the same as the solution to 3x + 5 = 20 - x.x - 20 = 5 + 3x can be simplified to x = 25, which is not the same as the solution to 3x + 5 = 20 - x.Learn more about equations from
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Select all of the equations that are equivalent to 3x + 5 = 20 - x.
4x = 15
2x = 25
4x - 15 = 0
-4x+20 = -5
x - 20 = 5 + 3x
what is the range of standard irq numbers? question 2 options: a) 0-7 b) 0-15 c) 0-32 d) 8-15
Answers
The range of standard IQR (Interquartile Range) numbers is option b) 0-15. The correct option is B).
The interquartile range (IQR) is a measure of variability used in statistical analysis. The IQR is often used as a measure of spread because it is less sensitive to outliers than the range. Standard IQR numbers are values that have been standardized to fit within a specific range of 0-15.
Standardizing the IQR allows for easier comparison of data across different datasets, as it ensures that the IQR values fall within a consistent range. The range of standard IQR numbers is often used in educational assessments and other standardized tests to report the variability of student performance or other metrics. So, the correct answer is option B).
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