We label points A=(x1,y1)=(1,1) A = (x1, y1) = (1,1) and A′=(x2,y2)=(3,3) A ′ = (x 2, y 2) = (3,3) to identify the centre of dilation. The centre of dilation's coordinates are then determined using the formula. (xo,yo) ( xo,yo) ( xo,yo )
What is the location of a dilation's centre?When the scale factor exceeds 1, the dilation becomes an enlargement. If it falls within the range of 0 and 1, the dilation is a contraction. The point from which the image is dilated is known as the centre of dilation (or point of dilation).
The centre point formula is what?The equation for the circle must be converted into standard form, (x h), in order to be able to determine the centre and radius.[tex](x-h)^2+(y-k)^2=r^2[/tex], where r is the radius and h and k are the coordinates for the centre.
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I need help on these questions please help . ignore the writing
You will always get one triangle. This is because of the Triangle Angle Sum Theorem, which states that the sum of the measures of the angles of a triangle is always 180°.
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon.
The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
The inner angles of every triangle sum up to 180°, 180°, 180°, 180°. Angles in a triangle are the total (sum) of the angles at each of its three vertices.
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What graph is best for comparing two variables?
A scatter plot is the best graph for comparing two variables.
A scatter plot is a graph that uses dots to represent individual observations of two variables. It is a powerful tool for comparing two variables because it allows us to see the relationship between the two variables and how they are distributed. It also helps to identify any patterns or trends in the data, such as a positive correlation, a negative correlation, or no correlation at all.
Additionally, scatter plots allow us to see outliers, which are data points that are far away from the majority of the data points. This makes it easy to identify any extreme values that may be skewing the data and affecting the overall pattern of the graph. Overall, scatter plots are useful for identifying patterns, trends, and outliers in data sets, making it the best choice for comparing two variables.
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tell which number is greater 56%, 5.6.
Answer:
5.6
Step-by-step explanation:
56% = 0.56
5.6 > 56%
Ritu had 6 time a number of tamp and Raj took twice the number from Ritu o that he ha a total of 24. Write the algebraic equation and find the root of the equation
The equation to find the root of the statement given in the question is , 12x = 2x - 24.
Let the number of tamp which Ritu have be x
Then the number of tamp which Raj have be 2x = 24
Now as Ritu has 6 times more than Raj , 6( 2x) = 24 x 6
Therefore, the required equation becomes,
12x = 2x - 24
=> 10x = 24
=> x = 2.4 answer.
An equation is a mathematical statement which is made up of constants , variables and operators. There are two parts of an equation which are equated using the equal sign . The right hand and the left hand side of the equation.
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A mum of 5 children has truncated her children’s heights in metres to 2 decimal places, and written them down in the table.
a) Write down the intervals within which each child’s actual height lies.
b) Write down the minimum and maximum height difference between the tallest and shortest child.
Each child's real height falls between 1.60 and 1.28, with the tallest child's height difference at 0.32 and the smallest child's height difference at 0.04 respectively.
a) The ranges that each child's actual height falls within is ;
Here, Daisy is 1.28 meters short while Isaac is 1.56 meters tall at his tallest.
b) The largest height difference between the tallest and shortest child is 1.60-1.28 =0.32m , while the smallest height difference is 1.60-1.56 = 0.04meters.
Error interval: What does it mean?A number's possible range of values before being rounded or truncated is known as an error interval. Inequalities are frequently used to express error intervals as a range having a lower bound and an upper bound.
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What is the degree of the polynomial 7x 3 4x² *?
The degree of polynomial 7x³ + 4x² is 3 as the highest power is 3.
What is degree of polynomial?One of the fundamental ideas in mathematics is the degree of polynomials, which determines the maximum number of solutions a function can have and how frequently a function will cross the x-axis on a graph.
Polynomials are also useful in understanding how functions can be represented mathematically. It has the highest exponential power in the polynomial equation.
The greatest power of a variable in a polynomial equation is its degree. When calculating the degree of a polynomial function, only terms with variables are considered. The degree of the polynomial can be determined by looking at the variable term with the highest exponential power.
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Adella wants to have $10,000. 00 saved in 5 years. Her local bank offers an account at 4% APR
compounding monthly. How much would she need to deposit to reach her goal?
$8000. 33
$8191. 67
$8189. 67
$8219. 29
The deposit to be made to save $10,000 in 5 years is $8189.67 when compounded monthly.
What is compound interest?Compound interest is interest on a loan or deposit that is calculated on both the principal amount and the interest accumulated in previous periods. It differs from simple interest, which is calculated on the principal only. Compound interest can be more favorable to the lender and more expensive to the borrower. The frequency of compounding (annual, quarterly, monthly, etc.) also affects the total amount of interest earned or paid.
Given that:
A = $10,000
r = 4% = 0.04
t = 5 years
n = 12 (since the compounding is monthly)
P = ?
The compound interest is given as follows:
[tex]A= P(1+\frac{r}{n} )^{nt}[/tex]
Substituting the values in the formula we have:
[tex]10000= P(1+\frac{0.04}{12} )^{(12)(5)}\\\\10000= P(1+0.0033 )^{(60)}\\\\10000= P(1.0033 )^{(60)}\\\\10000= P(1.2185)\\\\P= \frac{10000}{1.2185} \\\\P=8189.67[/tex]
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Name the property that is shown by each equation.
A. 6a + 4 = 4 + 6a
B. 30 + 60 = 15(2 + 4)
C. 3(8x + 4) = 3(4 + 8x)
D. 4(6a) = (4 · 6)a
A. Commutative property of addition
B. Distributive property
C. Commutative property of addition
D. Associative property of multiplication
Simplify by using order of operations:
4+(9 x 2) divided by (4 - 1) -4
Daija is creating a budget, and evaluating his purchases over the last month. Consider the following code segment which attempts to find the sum of all purchases made in the last month, stored in purchased List. N ← 1 sum ← 0 REPEAT UNTIL () { sum ← sum + purchase List[n] n ← n + 1 } What code can replace missing code to assign the total of all values in purchase List to sum
The missing code that can replace to assign the total of all values in purchase List to sum, is: REPEAT UNTIL (n > purchaseList.length)
What is syntax of REPEAT UNTIL?The syntax for a REPEAT UNTIL loop in most programming languages is as follows:
REPEAT {
// code to be executed
} UNTIL (condition)
or
DO {
// code to be executed
} UNTIL (condition)
What is looping?Looping is a programming construct that allows a certain block of code to be executed repeatedly. The two main types of loops are for loops and while loops.
A for loop is used to execute a block of code a specified number of times. It typically starts with a variable initialization, then a condition is checked, and if the condition is true, the code block inside the loop is executed, and then the variable is updated.
The missing code that can replace the empty parentheses in the REPEAT UNTIL statement to assign the total of all values in purchase List to sum, is:
REPEAT UNTIL (n > purchaseList.length)
This means that the loop will continue to execute until the value of n is greater than the length of the purchaseList. In each iteration, the value of purchaseList[n] is added to the sum, and then n is incremented by 1. So, this loop will iterate through all the elements in the purchaseList, adding each one to the sum, until it reaches the end of the list. This will give the total sum of all purchases made in the last month.
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Please help!! ;(((( I’m struggling
On solving the provided question, we can say that - the function value will be [tex]g(x) = -3 + 12x + 15[/tex] and
what is function?The topic of numbers, formulae and associated structures, forms and the areas where they exist, quantities and their variations, and spaces where they exist are all included in the field of mathematics. An association between a collection of inputs, each of which has an output, is known as a function. A function is, to put it simply, a relationship between inputs and outputs, where each input has a single, specific outcome. A domain and a codomain, or scope, are assigned to each function. Typically, f is used to represent functions (x). input is x. Four different sorts of functions are available. Based on the following items: One-to-one functions, many-to-one functions, on functions, one-to-one functions, and within functions.
Here,
[tex]y =a(x-x1)(x-x2),[/tex] y equals a(x-5)(x+1)
g(x) = -3(x-5)(x+1)
[tex]g(x) = -3(x-5)(x+1)[/tex]
g(x) = -3 + 12x + 15
y-intercept of g(x) is (0,15)
Therefore , the solution to the given problem of the equation comes out be y-intercept of g(x) is (0,15).
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At what point does the graph of the linear equation 2x 3y =- 15?
The graph of the linear equation 2x - 3y = -15 is a line that passes through the point (-5, 5), and has a slope of 2/3.
The linear equation
2x - 3y = -15
can be written in the form
y = mx + b,
where m is the slope and b is the y-intercept. To find the slope of this equation, we can rearrange the equation to be in the form y = mx + b, which gives us
y = (2/3)x - 5.
This means that the slope of the line is 2/3. To find the y-intercept, we can plug in 0 for x and solve for y. This gives us
y = -5.
Therefore, the graph of this equation is a line that passes through the point (-5, 5) and has a slope of 2/3.
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If the probability of getting a reult in an experiment i 75. 3%, what i the probability of not getting that reult? Select the bet choice
The probability of not getting result is found as 24.7%.
Explain the probability of experiment?The number of times an event happened during the experiment as a percentage of all the times the experiment was run is known as the experimental probability of that event occurring.
Theoretical Probability: the mathematically predicted outcomes of an experiment.Experimental Probability: the likelihood that the experiment will actually succeed.The mathematics of opportunity is known as probability (p). The probability of an event (E) occurring is shown through probability.Any occurrence can have its likelihood expressed as a number between 0 and 1, with 1 being the most likely outcome.The likelihood of an impossibility is zero. One represents the probability of an event. A probability between 0 and 1 can be attributed to any other events that fall in between these two extremes.So,
P(Result) = 0.753.
P(no result) = 1 - 0.753
P(no result) = 0.247
Thus, the probability of not getting that result is found as 24.7%.
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The correct question is-
If the probability of getting a result in an experiment is 75. 3%, what i the probability of not getting that result?
The perimeter of a square is given as 24x + 20. Write two diffrerent expressions to represent the perimeter. Use factoring to write one of the expressions
The perimeter of a square is given as 24x + 20 and can be written as 4 ×(5x+6) and 2 × (10x+12).
The perimeter of a square is the sum of all of the 4 sides of the square. Here, the perimeter of the square is given as the function of x, for finding the length of each side of the square.
Here, in the given problem, we can factorize the expression 20x+24 as, 4 ×(5x+6) so this is the 1st different way of writing the given expression. For another expression, we can take 2 commons from 20 x+24 that will be 2 × (10x+12).
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Multiply.
Your answer should be a monomial in standard form.
{(4z^3)(-3z^3)}=(4z
3
)(−3z
3
)
The required simplified expression as a monomial is given as -12[z⁶].
What is a polynomial function?A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial, binomial and trinomial, etc. ax+b is a polynomial.
here,
Given an expression, the outcome of the multiplicative depression will be an expression of a monomial.
= [4z³][-3z³]
= 4 × 3 [-z ³⁺³]
= -12[z⁶]
Thus, the required simplified expression as a monomial is given as -12[z⁶].
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solve for x, Give your answer as a fraction or decimal rounded to the nearest hundredth.
Using the fact that the triangles are similar, we will see that:
x = 5.626
How to find the value of x?On the image we can see two triangles, such that one is inscribed on the other.
Just because of that, it is obvious that the two triangles are similar.
And because the triangles are similar, the quotients between correspondent sides must be equal, that allows us to write the equation:
3/x = 8/15
The quotient is "left side over the bottom side"
We can solve that equation for x:
3/x = 8/15
3 = (8/15)*x
(15/8)*3 = x
45/8 = x
5.625 = x
That is the value of x.
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Question 8(Multiple Choice Worth 4 points) (02.01 MC) Identify the types of sampling errors that exist in the following sampling designs: The local newspaper plans to make a prediction for a senatorial election based on a survey of its readers. A radio show asks people to phone in their views on whether the United States should pay off its debt to China. A new social media website chooses to survey the first 50 members who join to determine whether members favor the appearance of the homepage.
Answer: Nonresponse, voluntary, and convenience.
Step-by-step explanation:
For the first question, it should be noted that everyone cannot respond as only the people who have strong opinions will respond. Therefore, it's a nonresponse error.
For the second question, the people will have to volunteer. Therefore, it's a voluntary bias while the third one is a convenience sample as it's an easily available sample.
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Could you help me solve this
Answer: The middle number is 15
Step-by-step explanation:
45/3= 15 so the three numbers will be around there.
14+15+16= 45
Limx→0 e^x -e^5/ x-5
Answer:e5
Step-by-step explanation:
Here you go
Lisa and Jen left home at the same time, only Lisa biked to school at a speed of 10 mph while Jen just walked at a speed of 4 mph.
How far apart are the school and house?
The distance between the school and the house is 1.6 miles.
What is distance?Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.
Let the distance between the school and the house be x miles.
Given that:
Lisa:
Rate = 10mph
Time = t hours
Distance= x
According to distance formula we have:
x = 10 *t [ equation 1]
Jen:
Rate = 4mph
Time = t hours
Distance= x-1 miles
According to the distance formula we have:
x-1 = 4*t [equation 2]
Substitute the value of equation 1 in equation 2 we have:
10t -1 = 4t
6t =1
t = [tex]\frac{1}{6}[/tex]
Now substitute the value of t in equation 1.
[tex]x = 10 * \frac{1}{6}[/tex]
x= 1.6 miles.
Hence the distance between the school and the house is 1.6 miles.
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John and Wesley both work for telephone companies installing internet connections into new homes, but they do not work for the same company. John's paycheck at the end of the month includes his base pay of $2,000 and his commission of $65. 25 for each installation he makes that month. Wesley is paid $380 plus a commission of $105. 75 for each installation he makes each month. In September of last year, they both made the same number of installations and they both earned the same amount of money
The number of installations in September were forty that lead to John and Wesley earning same amount of money.
Let the number of installations be x. The equation of be formed for each paycheck will be -
Total paycheck = base pay + number of installations × comission on each installation
The total paycheck and number of installations is same. So equating the equations by keeping x.
2000 + 65.25x = 380 + 105.75x
Rewriting the equation -
105.75x - 65.25x = 2000 - 380
Performing subtraction on each side of the equation
40.5x = 1620
x = 1620/40.5
Performing division on Right Hand Side of the equation
x = 40
There were 40 installations.
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Here are the first 4 terms of a sequence.
85 81 77 73
a) (i) Write down the next term in the sequence.
(ii) Explain how you got your answer.
b) Work out the 10th term of the sequence.
Answer:
a) (i) Next term = 69a) (ii) Subtract 4 from each term to get the next term. For example, 85-4 = 81 and 81-4 = 77, and so on.b) The 10th term is 49 The work for part (b) is shown in the next section below.==================================
a1 = 85 = first term
d = -4 = common difference
an = a1 + d(n-1)
an = 85 - 4(n-1)
an = 85 - 4n + 4
an = -4n+89
a10 = -4*10+89
a10 = 49 is the tenth term
What is the product 4y 3 )( 2y^2 3y 5?
The product for the given polynomial is [tex]8y^5 + 6y^4 + 20y^3.[/tex]
When multiplying two polynomials, it is important to keep track of the exponents of each term. The exponents will determine the degree of the resulting polynomial. To find the product, you multiply each term of the first polynomial by each term of the second polynomial, then combine like terms.
In this case, the first polynomial is 4y^3 and the second polynomial is 2y^2 3y 5. To find the product, you would multiply 4y^3 by 2y^2, 4y^3 by 3y, and 4y^3 by 5. This would give you 8y^5, 12y^4, and 20y^3. Since these are the only terms in the product, you simply add them together to get the final answer of [tex]8y^5 + 6y^4 + 20y^3.[/tex]
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The average age of a group of fans at a hockey game is 34 years with a standard deviation of 8 years. What percent of fans are between 18 and 27 years old?
The percent of fans that are between 18 and 27 years old is 16.80%.
How to calculate the percentage of fans?From the information, the average age of a group of fans at a hockey game is 34 years with a standard deviation of 8 years and we want to calculate the percent of fans are between 18 and 27 years old.
It should be noted that this will be Illustrated through the normal curve.
The probability will be:
P(18 ≤ X ≤ 27)
= P(18 - 34/8) ≤ Z ≤ (27 - 34 / 8
= P(-2.0 ≤ Z ≤ -0.875)
= 0.1908 - 0.02275 (From the standard normal calculator)
= 16.80%
The percentage is 16.80%.
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based on the data provided, does this algorithm run in a reasonable or unreasonable time? explain your answer
As a result, the answer to the provided linear equation problem is that the iteration runs in an acceptable amount of time and does not rise exponentially.
What exactly is a linear equation?A linear equation is represented by the algebraic expression y=mx+b. B is the y-intercept, and m is the slope. A "simple formula with 2 factors," where both y and x are variables, is what the previous sentence was referred to as. Calculations with two variables are referred to as "bivariate linear equations." Here are a few illustrations: 2x - 3 = 0; 2y = 8; m + 1 = 0; x/2 = 3; x + y = 2; and 3x - y + z = 3 are the results. A mathematical equation is considered to be linear if its solution has the format y=mx+b, where m stands for the slope and b for the y-intercept.
Here,
Based on how quickly iterations rise as input increases, fair and unreasonable algorithms can be distinguished. Since the algorithm does not grow exponentially, we can infer that it completes in an acceptable amount of time.
assessing the mathematical function that represents the algorithm's growth rate when input is added;
200 = 10k, where k is the proportionality constant.
k = 200/10
k = 20
The function that represents the number of iterations is as a result:
I = input size; n = 20i; represents the number of iterations.
As a result, the answer to the provided linear equation problem is that the iteration runs in an acceptable amount of time and does not rise exponentially.
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Describe what moves you could use to create the transformation of the original image shown below.
original
The required transformations of the original image are the first translation of 7 units to the right side, then a reflection across the x-axis.
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
The triangle is given in the represented graph, which vertices are as follows :
(-5, -1)
(-2, -1)
(-5, -3)
The image after a translation of 7 units to the right side will be given a triangle the vertices are as follows :
(-5 + 7, -1) → (2, -1)
(-2 + 7, -1) → (5, -1)
(-5 + 7, -3) →(2, -3)
Then the image after a reflection across the x-axis will be a triangle the vertices are as follows :
(2, -1) → (2, 1)
(5, -1) → (5, 1)
(2, -3) → (2, 3)
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What is 85 divided by 4973?
Given that there are 3 feet or 36 inches in 1 yard, which of the following amounts is greater than 6 feet? Select all that apply. Video A) 2 yards, 3 inches B) 5 feet, 8 inches C) 96 inches D) 3 yards, 2 feet E) 1 yard, 2 feet
Answer: its D
Step-by-step explanation: 3 yard is bigger then 6 feet because 3 yards equals 9 feet hope this helps
50 Points!
Which linear equation shows a proportional relationship?
Answer: y=3/ 4x
Step-by-step explanation: in the linear equations y= Kx shows the proportionality relations . Where k is the proportionality constant which can be any number . x an y are the variables, so according to this answer will be y=3/
Answer:
y=3/4x
Step-by-step explanation:
Let's first define some words;
Proportional: If a line or a ray through the origin it proportional
Non proportional: If a line or ray that does not pass through the origin
Origin: Initial point or the starting point
Now we have define the words now let's graph these points by using Desmos.
Graphs are shown below.
Base on the graphs below we can see that;
y=3/4x pass through the origin which means the that this linear equation is proportional.
RevyBreeze
How do you know if ordered pairs are a linear equation?
The ordered pairs are a linear equation if the graph plotted is the straight line.
A linear equation can be represented by a graph in the Cartesian coordinate system as a straight line. If the equation is in the form of "y = mx + b" where m and b are constants, it is a linear equation. The ordered pairs of a linear equation will always satisfy this equation, and when plotted on a graph, will fall on a straight line. To check if a set of ordered pairs is a linear equation, you can plot them on a graph and see if they form a straight line or can substitute the x- and y-values of the ordered pairs into the equation "y = mx + b" and see if they make the equation true.
So, if the graph plotted is the straight line, then the ordered pairs are of a linear equation.
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