Answer:
4 units
Step-by-step explanation:
Create an equation where w is the width of the rectangle
Use the area formula, A = lw.
Since the length is the sum of the width and 1, it can be represented by w + 1
Plug in this and the area into the formula, and solve for w
A = lw
20 = (w + 1)(w)
20 = w² + w
w² + w - 20
(w + 5)(w - 4)
Solve for w:
w + 5 = 0
w = -5
w - 4 = 0
w = 4
Since the width cannot be negative, the answer must be 4.
So, the width of the rectangle is 4 units.
Answer:
Solution :-We know that
Area = Length × Width
Area = w + 1 × w
Area = w² + w
w² + w - 20
w² + (5w - 4w) - 20
(w + 5)(w - 4)
Either
w = -5
or w = 4
Breadth can't be negative
So,
Breadth = 4 units
Which expression is equivalent to2 3?
4/6, 6/9, 8/12, 10/15 ... are equivalent to 2/3. All those fractions obtained by multiplying both the numerator and denominator of 2/3 by the same number are equivalent to 2/3.
And, The expression is equivalent to 2 divide by 3
Now, According to the question:
All those fractions obtained by multiplying both the numerator and denominator of 2/3 by the same integer are equivalent to 2/3.
2/3 × 2/2 = 4/6
2/3 × 3/3 = 6/9
2/3 × 4/4 = 8/12
2/3 × 5/5 = 10/15 and so on...
4/6, 6/9, 8/12, 10/15 ... are equivalent to 2/3.
Thus, 4/6, 6/9, 8/12, 10/15 ... are equivalent to 2/3.
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What value of x will make the number 40 35 :: 16 x?
Answer:
Since 40:35 simplifies to 8:7, 16:X = 8:7, implies X = 14. Hope this helps you!
Step-by-step explanation:
hope this helps
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Is a graph a function or not?
How is exponential function used in population growth?
The population grows exponentially as the population size increases because the growth rate per capita (per person) growth rate remains constant. The availability of resources will eventually stop populations in nature from growing exponentially.
what is exponential function?An exponential function is defined by the equation f(x) = ax, in which the exponent of the input variable x is used. The exponential curve affects both the value of x and the exponential function. The exponential function, with the form, is a crucial mathematical function. f(x) = ax.
Population growth or decline that is ongoing and whose pace of change is inversely correlated with the total number of people in the population at any given time.
The population grows exponentially as the population size increases because the growth rate per capita (per person) growth rate remains constant. The availability of resources will eventually stop populations in nature from growing exponentially.
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Find the slope of the line that passes through (4, 7) and (2, 10).
The Slope of the Line passing through (4, 7) and (2, 10) is -3/2
What is Slope?
The slope formula is used to compute the inclination or steepness of a line. The slope of the lines is calculated using the x and y coordinates of the lines. It is the ratio of the y-axis change to the x-axis change.
Solution:
A(4, 7) and B(2, 10)
Slope = y2 - y1 / x2 - x1
Slope = 10 - 7 / 2 - 4
Slope = 3 / -2
Slope = -3/2
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Solve: 2y - 4 = 14
:))
Answer:
y=9
Step-by-step explanation:
[tex]2y-4=14\\(2y-4)+4=(14)+4\\2y=18\\\frac{2y}{2}=\frac{18}{2}\\y=9[/tex]
Answer:
y=9
Step-by-step explanation:
add the 4 on both sides: 2y-4+4=14+4
2y=18
divide by 2: 18/2= 9
A die is rolled 200 times with the following results. outcome 1 2 3 4 5 6 frequency 32 36 44 20 30 38 what is the theoretical probability of the given event? p (3)
a. one-sixth
b. 0
c. one-half
d. startfraction 5 over 6 endfraction
Answer:
A
Step-by-step explanation:
pls help me and explain how to do this
The slope of the line is -3/4.
What is a line?
A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things. The term "line" can also be used to describe a line segment in daily life that contains two locations that serve as its ends.
The points on the line are (-4, 5), (0,2), (4, -1).
The slope of a line that passes through the points (x₁, y₁) and (x₂, y₂) is (y₂ - y₁)/(x₂ - x₁).
The slope of the line is
(2 - 5)/(0 - (-4)) = -3/4
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How do you draw a linear graph?
An equation that depicts a straight line on a graph is said to be linear line.
What is linear line?Linear refers to a straight line. Straight-line graphs called linear graphs are used to show the relationship between two values. The single straight lines on this graph assist to represent a result. The phrase "linear" refers to a straight line and excludes the usage of curves, dots, bars, etc.
A linear line can include more than one variable. Linear lines with two variables, for example, are those that have two variables in them. 2x - 3 = 0 and 2y = 8 are few examples of linear lines.
Steps to draw a linear graph are described below:
A linear relation's graph can be discovered by graphing at least two points. The intercepts lead to the discovery of two locations that are very helpful for illustrating the graph of a line. A graph's x-value at which it crosses the x-axis is known as the x-intercept. A graph's y-value at where it crosses the y-axis is known as a y-intercept. Since the x-axis has a value of y = 0, an x-intercept may be discovered by setting y in the equation to 0 and figuring out x. Setting x = 0 in the equation and calculating y leads to the discovery of a -y intercept.To know more about linear lines refer to:
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What is the meaning of x³ in math?
To answer, let's use the exponent rules, here x³ denotes "x multiplied by itself three times,"
What is exponent rule?Exponents, often known as powers, specify how many times the base number must be multiplied.
Exponent rules are principles that are used to simplify expressions using exponents. These principles are also useful in simplifying formulas with exponents that are decimals, fractions, irrational numbers, or negative integers.
Negative exponents Rule: [tex]a^{-m} = 1/a^m[/tex]Product Rule: [tex]a^m * a^n = a^{(m+n)}[/tex]Quotient Rule: [tex]a^m / a^n = a^{(m-n)}[/tex]Power of a Power Rule: [tex](a^m)^n = a^{mn}[/tex]An exponent is just a shortened way to denote repeated multiplication. x³ (or "x to the third power") in algebraic terms denotes "x multiplied by itself three times," or x x x.
Power is a mathematical phrase that denotes the repeated multiplication of a value or number.
As an example, power 6³ explains how three times the number 6 is multiplied.
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The complete question s as follows:
What is the meaning of x³ in math?
What is the standard deviation of 95?
Answer:
Step-by-step explanation:
5 is the standard deviation of 95
Does (7, –5) make the equation y = x + –2 true?
Answer:
no
Step-by-step explanation:
-5 = 7 + -2
7 + -2 = 5
no
Answer:
No
Step-by-step explanation:
7,-5 is not a point on the line
-5, -7 is on the line
What does fit () do?
When using supervised learning, the fit() technique requires two arrays of training data, but unsupervised learning only requires one array.
What does fit () do in regression?After the model is initialised, the "fit" method runs the algorithm on the training data. That is all it does, in essence. Thus, the machine learning model is trained using the training data by the sklearn fit approach. In the manufacturing industry, the term "form-fit-function" (FFF) refers to a part's distinguishing features (a single component that goes into the final build of your product, typically kept on an item master).
model.fit(): fit practise data This accepts the data X and the labels y as two arguments for supervised learning applications (e.g., model. fit(X, y)). Function at Cost. The cost function for linear regression is the Sum of Squares of Errors with the lowest value. Calculate the squared error sum for each and every available line.
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How do you find the reflecting on a coordinate plane( x-axis or y-axis )?
A transformative process turns a figure into a reflection.
How do you determine the reflecting on an x-axis or y-axis coordinate plane?If you want to reflect a point across the x-axis, multiply its y-coordinate by -1. If you want to reflect a point across the y-axis, multiply its x-coordinate by -1.A transformative process turns a figure into a reflection.When a point is reflected across the x-axis, the x-coordinate stays constant, but the y-coordinate is thought to be the additive inverse. The x-axis shows a reflection of the point (x, y) as (x, -y).The y-coordinate remains constant when a point is mirrored across the y-axis, while the x-coordinate is thought to be the additive inverse. The point (x, y) is reflected on the y-axis as (-x, y).(x, y)(x, y) is the formula for a reflection over the x-axis.
(x,y)(x,y) is the formula for a reflection across the y-axis.
The formula is (x,y)(y,x) for a reflection in the line y=x.
(x, y)(y, x) is the formula for a reflection in the origin.
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somebody please help me
Answer:
Divided both sides by 2
Step-by-step explanation:
The equation is
2 (t +7) = 16
t + 7 = 8
To get to the second step, they divided bot sides by 2
what is the value of u
The value of u = 56.78 degree
What is the value of angle?Any triangle's three angles sum up to 180 degrees when added together. Therefore, the sum of angles A, B, and C is 180 degrees. Any triangle in the field of geometry has this property. This concept can be used to determine the measure of an angle or angles in which the degree measure is absent or not provided.
A, B, and C is 180 degrees
in a triangle <u- 40 degree <u+50 degree so <u is
<u- 40 degree
<u+50 degree
so
<u =
(u - 40 ) + (u+50 ) + u = 180
3u - (170.3) =180
u = 170.3/3 = 56.78.
The value of u = 56.78 degree
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9. Determine the end behavior of the given polynomial function: f(x) = -x-2x³ +3x+9.
Answer:
The graph increases as it approaches -∞.
The graph decreases as it approaches ∞.
Step-by-step explanation:
f(x) = -x - 2x³ + 3x + 9
f(x) = -2x³ + 3x - x+ 9
f(x) = -2x³ + 2x+ 9
Look at the highest exponent(which is 3).
SInce the highest exponent is odd, that means that the graph approaches infinity in a different direction as per negative infinity. Since the highest exponent has a negative sign:
The graph is going UP as x-values get SMALLER ( To -∞)
The graph is going DOWN as x-values get LARGER ( To ∞)
Hence:
The graph increases as it approaches -∞.
The graph decreases as it approaches ∞.
Answer:
Since the degree is odd, the ends of the function will point in the opposite directions.
Odd
How do you translate an entire triangle?
To translate an entire triangle, you need to first identify the coordinates of the triangle's vertices.
calculate the vector of the translation by subtracting the coordinates of the original triangle from the coordinates of the translated triangle. Finally, apply the vector to each of the triangle's vertices to move the entire triangle.
1. Identify the coordinates of the triangle's vertices (x1, y1, x2, y2, x3, y3).
2. Calculate the translation vector by subtracting the coordinates of the original triangle from the coordinates of the translated triangle (x1T, y1T, x2T, y2T, x3T, y3T).
3. Apply the vector to each of the triangle's vertices to translate the entire triangle. This can be done by adding or subtracting the vector from the original coordinates of the triangle's vertices.
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What Z mean in sets?
The capital Latin letter Z denotes a set of integers in mathematics.
Z = {..., -3, -2, -1, 0, 1, 2, 3, ...}
In sets, thus we may use it to describe the elements of a set using Z. For example A is set of integers greater than -5 and less than 0. So it can be expressed as
A = { x : -5<x<0, x∈Z}
This is equivalent to A = { -4, -3, -2, -1}. But when the number of elements is infinite or too large to list out the other method is opted. The ∈ symbol means belong to.
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What is an example of a one solution equation?
For example, 2x+3=8 is a linear equation having a single variable in it. Therefore, this equation has only one solution, which is x = 5/2.
What is the definition of an equation?
An equation is basically a statement that equates two expressions.
An equation must contain an "equality" sign.
Which is the best definition of a two step equation?
A two-step equation is an algebraic equation that takes you two steps to solve. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.
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chris is going to rent a truck for one day. there are two companies he can choose from, and they have the following prices. company a has no initial fee but charges cents for every mile driven. company b charges an initial fee of and an additional cents for every mile driven. for what mileages will company a charge more than company b? use for the number of miles driven, and solve your inequality for .
As a result, after 130 miles Company A charges more than Company B.
Describe equation.A number, a variable, or both together with particular operation symbols make up an expression. An equal sign separates two expressions that make up an equation.
Here,
Company A Cost is equal to 0.80 m
Cost for Company B is 65 + 0.30 m.
In light of this,
A>B is true
when,
0.80 m > 65 + 0.30 m
0.50 m >65
m > (65 / 0.50)
m > 130.
As a result, after 130 kilometers, Company A charges more than Company B.
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The advantages of automation include: (1) reduced output variability (II) reduced variable costs. (III) machines don't strike or file grievances. (IV) machines are always less expensive than human labor. Multiple Choice
O I and IV
O II and III
O I, II, and III
O I and il
The advantages of automation include
(III) machines don't strike or file grievances.
(IV) machines are always less expensive than human labor.
What is automation?Automation refers to technological applications where the amount of human input is reduced. This includes personal applications like home automation, business process automation (BPA), and IT automation.
By predetermining decision criteria, subprocess relationships, and related actions, automation refers to a wide range of technologies that minimize human intervention in processes.
Machine has the advantage of not going on strike or filing grievances. It just obey instruction. Strike are human way of showing grievances. With automation, there is no issue of strike or filing for grievance.
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What are the three primary kinds of parameters Mcq?
The three primary kinds of parameters are Input parameters, Output parameters, and Input/Output parameters.
One of the bits of data supplied as input to a function is referred to by a parameter, a special sort of variable. These bits of information represent the values of the arguments that will be used to call or invoke the function. Functions may have one or more parameters or none at all.
A function is typically defined with an ordered list of parameters so that each time it is called, the arguments are evaluated for that call and the results can be assigned to the associated parameters.
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4) One-square foot floor tiles come 26 to a package. Find how many packages are needed to
cover a rectangular floor 17 feet by 26 feet.
A total of 11492 packages are needed to cover a rectangular floor.
What is a rectangle?
Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.
Given, One-square foot floor tiles come in 26 packages.
dimension of rectangular floor = 17 feet by 26 feet
Then, total area = 17*26 = 442 square foot
So, total packages needed = 442*26 = 11492
Hence, a total of 11492 packages is needed to cover a rectangular floor.
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please help me with this problem
Answer:
140 cm^2
Step-by-step explanation:
Area of rectangular = L x W
14 times 10 = 140cm^2
(g) sin² A+ cos² A + tan² A+ 1 = 4
that is the solution to the questions well. thank you, you can contact me for any further enquiry
The scatter plot shows the number of pumpkins that have been picked on the farm during the month of October:
Part A: Using computer software, a correlation coefficient of r = 0.51 was calculated. Based on the scatter plot, is that an accurate value for this data? Why or why not?
Part B: Instead of comparing the number of pumpkins picked and the day in October, write a scenario that would be a causal relationship for pumpkins picked on the farm.
The number of pumpkins that were harvested on the farm during in the month of October is shown below, in accordance with the correlation concept.
It is, in Part A.
Part B: the quantity of harvested pumpkins and the quantity of fertiliser used.
what is correlation?
Correlation is a statistical measure that evaluates the strength of a relationship between two variables. It can range from -1 to +1, where -1 indicates a perfect negative linear correlation, 0 indicates no linear correlation, and +1 indicates a perfect positive linear correlation. Correlation is used to measure the strength of the relationship between variables, and whether changes in one variable are associated with changes in the other. Correlation analysis can also help to identify patterns and trends in data, and can be used to make predictions about future outcomes.
Part A:
The stronger the correlation between two variables, as well as vice versa, the closer this same correlation coefficient is to 1. Additionally, the correlation coefficient is closer to 1 the closer this same data points are spaced apart on a scatter plot.
The scatter plot depicted shows a correlation between the quantity of pumpkins and the number of days. The data points are, however, somewhat further apart from one another. The two variables have a moderate relationship, as evidenced by this. Consequently, the calculated correlation coefficient, r, of 0.51 can be regarded as accurate because r of 0.51 denotes a moderate relationship between the two variables.
Part B:
Instead of the day in October, the amount of fertiliser used could have an impact on the number of pumpkins harvested. As a result, we can evaluate the quantity of pumpkin harvested and fertiliser used.
Therefore,
Part A: YES, it is.
Part B: the quantity of harvested pumpkins and the quantity of fertiliser used.
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How many terms are there in the expression 7x 2 )+ 5x 5?
The number of terms in the expression is 3.
What is an algebraic expression?An algebraic expression is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms, algebraic expressions can be part of an equation and model mathematical processes.
Let's write the algebraic expression
7x² + 5x + 5
As we can see this expression has some addition operations that cannot be solved because they differ from variable, but this helps us in a way to determine the number of terms and these are:
n1 = 7x²n2 = 5xn3 = 5The expression has 3 terms
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In the triangle above, a = 45. What is the value of b ?
two numbers have a sum of 10 and a product of 20 what is the sum of the reciprocal of the numbers
HELP
The sum of the reciprocals of the two numbers is 0.5
How to find the reciprocal of the numbersLet the two numbers be x and y such that
x + y = 10
xy = 20
In x + y = 10, x = 10 - y
plugging in in xy = 20
(10 - y)y = 20
10y - y² - 20 = 0
y² - 10y + 20 = 0
solving the quadratic equation gives
y = 2.76 OR 7.24
sum of the reciprocal of the numbers
= 2.76⁻¹ + 7.24⁻¹
= 0.5
the sum is 0.5
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