What is the interquartile range of the set of data this box-and-whisker plot represents
Answers
The interquartile range of the data represented in the box-and-whisker plot is given as follows:
IQR = 3.
How to obtain the interquartile range?The measures represented in the box-and-whisker plot are given as follows:
Minimum value of 12.First quartile of 15.Median of 16.Third quartile of 18.Maximum value of 20.The interquartile range is calculated as the difference between the third quartile and the first quartile.
Hence the correct value is given as follows:
IQR = 18 - 15
IQR = 3.
Meaning that the last option is the correct option.
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Related Questions
Is the estimated intercept Bo meaningful in this case? O A. Yes. B. No.
Answers
Yes the estimated intercept B meaningful in this case
The estimated intercept, also known as the constant, is the point at which the regression line intersects the y-axis.
In this case, the meaning of the estimated intercept Bo is crucial in understanding the results of the regression analysis.
The intercept represents the expected value of the dependent variable when all independent variables are equal to zero.
In conclusion, the estimated intercept can be a meaningful and valuable tool in regression analysis, but it is important to consider the context of the data and the relationships between the variables before interpreting the results.
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find the phase shift of the sin function
y = -2 sin (2x - π/pi)
Answers
The phase shift of the sin function , y = -2 sin (2x - π)-3 is =π/-3.
What is phase shift ?Amplitude: The amplitude of a wave is a maximum displacement of a particle from its rest position
Period: The ratio of wavelength to the velocity.
Phase shift: The phase shift represents the amount a wave has shifted horizontally from the the usual position.
here, we have,
The equation of a wave is
f(x) = a sin(bx - c)+d
Where
amplitude = |a|
phase shift = c/d
now,
Given equation of wave is
f(x) =-2 sin (2x - π)-3
Here a=-4, b=2, c = π, d = -3
i.e.
phase shift = c/d
=π/-3
Therefore, phase shift =π/-3.
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You can solve the equation 3x + 2 = 8 by graphing y = 3x + 2 and y = 8 and finding their point of intersection.
Use the drop-down menus to complete the statements below.
The solution of 3x + 2 = 8 is
A. 2
B. 8
C. (2,8)
D. (8,2)
(2, 8) is a solution of
1. only y = 3x + 2
2. only y = 8
3. both y = 3x + 2 and y = 8
4. neither y = 3x + 2 nor y = 8
Answers
Answer:
A. and 3
Step-by-step explanation:
3x+2=8
3x=6
x=2
ways to measure error haven't been discussed in class yet, but accuracy is an easy one to understand--it is simply the percent of labels that were correctly predicted (either true or false). write a function to calculate accuracy using the actual and predicted labels. using the function, calculate the accuracy of this k-nearest neighbors model on the data.
Answers
A new data point is classified using the K-NN algorithm based on similarity after all the existing data has been stored.
Define the K-NN algorithm?The k-nearest neighbours algorithm, sometimes referred to as KNN or k-NN, is a supervised learning classifier that employs proximity to produce classifications or predictions about the grouping of a single data point.The K-NN algorithm saves all the information that is available and categorises new input based on similarity.k-nearest neighbours (kNN) classifier is supervised machine learning algorithm that is non-parametric. It is distance-based and categorises things according to the classes of their close neighbours. Although it can be used for regression issues as well, kNN is most frequently utilised for classification tasks.Non-parametric denotes the absence of parameter adjustment throughout the model's training phase. K is a hyperparameter even if it can be viewed as an algorithm parameter in some ways.Here I attached the answers
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the price of an item has been reduced by 15%. the original price was $91 find the price of the item now.
Answers
Answer:
77.35
Step-by-step explanation:
I'm sorry because I don't know how to explain it...
There are 30 tudent in cla 8B. 3 tudent tudy both German and French. 12 tudent tudy only German. 15 tudent tudy only French
Answers
Answer:
Step-by-step explanation:
1. Total number of students in class 8B: 30
2. Number of students studying both German and French: 3
3. Number of students studying only German: 12
4. Number of students studying only French: 15
How do you convert grams to mole?
Answers
The grams can be converted to moles and vice versa, the conversion factor used is molar mass.
What is the equation to convert grams to moles?In chemistry, the SI unit of substance amount is the mole. The mole is a unit of measurement for the quantity or amount of a substance. We know that one mole of any element contains 6.0221023 atoms, also known as the Avogadro number.The following equation will convert the mass of any substance into moles:W/M = n
where,
n = number of moles
W = mass given
M stands for molar mass.
We can convert the mass of any object to moles and moles to mass using the formula that is shown above.As a result, the conversion factor used for this is molar mass (M).To learn more about grams refer to :
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PLEASE HELP!!! 20 POINTS UP FOR GRABS!!!
Answers
The size of the angle x is 33.7 degrees.
What are Trigonometric Functions?Trigonometric functions are defined as the real functions which are simply the functions of an angle of a triangle. They are basically the periodic functions which relate an angle in a right angled triangle to the ratios of the length of two sides.
Given is a right angled triangle, whose one of the angle is 90°.
Definition of the sine trigonometric function in a right angled triangle is,
sin θ = Opposite side / Hypotenuse
Here, hypotenuse = 18 cm
Opposite side to angle x = 10 cm
sin x = 10 / 18
sin x = 0.556
x = sin⁻¹ (0.556)
x = 0.589 radians ≈ 33.7 degrees
Hence the measure of the angle x is 33.7 degrees.
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the owner of a natural foods store made 20 lb of a dried fruit and granola blend that is 50% dried fruit by mixing a dried fruit and granola blend that is 20% dried fruit with a blend that is 60% dried fruit. how many pounds of each type were used to get the desired blend?
Answers
Answer:
see below
Step-by-step explanation:
20 lb of a dried fruit and granola blend 50% dried fruit
mixing 20% dried fruit x lbs
60% dried fruit y lbs
x+y=20 so x=20-y
0.2x+0.6y =0.5*20 =10
0.2(20-y) +0.6y=10
4 -0.2y+0.6y =10
0.4y =6
y=15
x=5
If you flip a fair coin 10 times what is the probability of getting all tails?
Answers
If you flip a fair coin 10 times , then the probability of getting all tails is 1/1024 .
The outcomes in flipping a coin is = {H , T} ;
probability of getting a tail is = 1/2 ;
the number of times the coin is flipped is = 10 times .
The probability of getting a sequence of 10 independent events, each with a probability of 1/2 of occurring. The overall probability is found by multiplying the probability of each event:
⇒ (1/2) × (1/2) × (1/2) × ... × (1/2) = (1/2)¹⁰ = 1/1024 .
Therefore , the probability of getting "all tails" in 10 coin flips of a fair coin is 1/1024 , which means that if we flip the coin 10 times repeatedly, we would expect to get all tails only once in approximately 1024 trials .
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Ethan and enoch hare a reward of $133 in a ratio of 2:5. How much doe each boy get?
Answers
So, Ethan gets $38 and Enoch gets $95.
We can find the amount each boy gets by using the ratio to find how much of the total $133 reward belongs to each.
Since the ratio is 2:5, this means that for every 7 parts, 2 of those parts belong to Ethan and 5 of them belong to Enoch.
So, if we divide the total reward of $133 into 7 equal parts, each part would be $133 / 7 = $19.
Since Ethan is entitled to 2 parts of the reward, he would get $19 x 2 = $38.
And since Enoch is entitled to 5 parts of the reward, he would get $19 x 5 = $95.
So, to summarize:
Ethan gets $38
Enoch gets $95
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So, Ethan gets $38 and Enoch gets $95.
We can find the amount each boy gets by using the ratio to find how much of the total $133 reward belongs to each.
Since the ratio is 2:5, this means that for every 7 parts, 2 of those parts belong to Ethan and 5 of them belong to Enoch.
So, if we divide the total reward of $133 into 7 equal parts, each part would be $133 / 7 = $19.
Since Ethan is entitled to 2 parts of the reward, he would get $19 x 2 = $38.
And since Enoch is entitled to 5 parts of the reward, he would get $19 x 5 = $95.
So, to summarize:
Ethan gets $38
Enoch gets $95
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the graph to the right shows the relationship between the number of baseballs produced per day, q, and the daily cost of production, c.
Answers
The graph shows an inverse relationship between the number of baseballs produced per day and the cost of production. As the number of baseballs produced per day increases, the cost of production decreases.
1. The graph shows a downward-sloping line, which indicates an inverse relationship between the number of baseballs produced per day, q, and the daily cost of production, c.
2. As q increases, c decreases.
3. This inverse relationship means that as the number of baseballs produced per day increases, the cost of production decreases.
The graph shows an inverse relationship between the number of baseballs produced per day and the cost of production. As the number of baseballs produced per day increases, the cost of production decreases.
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Describe the relationship you would expect between the data. Explain.
1. age of the automobile and the odometer reading
Answers
The age of the automobile and the odometer reading will be in direct proportion and both variables will have a strong positive correlation.
What is the age of Automobiles:The age of automobiles indicates the lifetime of the Automobiles from their manufacturing day to the present workday. For example, if the car was made in 2010 and working till 2020 then the age of the car will be 10 years.
Odometer reading:Odometer is a machine or instrument which is used to calculate the distance traveled by a vehicle in its lifetime. The reading of the Odometer shows the distance covered by the car in the number of milages.
Here the more age of the automobile increases the more the distance covered by the automobile will increased hence the reading of the Odometer will increase.
As we know in mathematics, if two quantities are in relation such as one quantity is increased then the other quantity will also increase then two quantities are said to be in Direct proportion.
So here we can conclude that the age of the automobile and the odometer reading will be in direct proportion Since both are increases both variables will have a strong positive correlation.
Therefore,
The age of the automobile and the odometer reading will be in direct proportion and both variables will have a strong positive correlation.
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Two friends shop for fresh fruit. Jackson buys a watermelon for $8.25 and 5 pounds of cherries. Tim buys a pineapple for $2.15 and 4 pounds of cherries. Use the variable p to represent the price, in dollars, per pound of cherries. Write and simplify an expression to represent how much more Jackson spent.
please its to tonight at 11:59pm
Answers
Answer:
Step-by-step explanation:
Jackson -
8.25 + 5p
Tim -
2.15 + 4p
8.25 - 2.15 = 6.1
5p - 4p = 1p or p
simplified expression
6.1 + p is how much more Jackson spent
(I’m sorry if it’s wrong not 100 percent sure)
India's Population at the end of the year 2019 was 1.37 billion. The country's growth in
population can be modeled by the function G(x) = 1.37(1.003), where x is the number of
years since 2019.
What is the country's annual growth factor?
Find the constant percent rate of change and interpret in the context.
Answers
The formula (y2y1)/(x2x1) (y 2y1)/(x 2x1) can be used to determine the constant rate of change.
What is constant rate?When the ratio of the output to the input remains constant at every given point along the function, the rate of change is said to be constant. The slope exist as a another name for the constant rate of change. The rate of change for linear functions will be constant. One quantity changes in respect to another when something changes at a consistent rate. For instance, a pigeon may go 25 miles in every half-hour of flight. This constant rate can be expressed as a ratio. The equation y = mx + b, where m and b are constants, can be used to express a linear function, which has a constant rate of change.To learn more about constant rate, refer to:
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Li and Amber are writing number patterns. Both patterns start at 2. Li uses the rule "Add 1, then multiply by 3." Amber uses the pattern "Add 2, then multiply by 2." Write the first five ordered pairs with an x-coordinate representing the number Li's pattern and the y-coordinate representing the corresponding numbers in Amber's pattern.
Answers
Based on the information provided the coordinates would be
What is Li's sequence?To know her sequence, let's apply the rule given"Add 1, then multiply by 3"
2 + 1 = 3 x 3 = 9
3+1 = 4 x 3 =12
4 +1 = 5 x 3 =14
5 + 1 = 6x3 = 18
What is Amber's sequence?Let's apply the rule given "Add 2, then multiply by 2"
2+ 2 = 4x2= 8
3+2= 5x2= 10
3+3= 6x 2= 12
4+3=7x 12 = 14
Based on this, the coordinates are (2,2), (9,8), (12,10), (14,12), (18,14).
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use the properties of logarithms to expand the following expression. logy7xz3
Answers
The expanded logarithmic expression is 7log y + log x + 3log z.
The use of a logarithm can be utilised to solve issues that cannot be resolved using the concept of exponents alone. A logarithm is simply another way to describe exponents. Log interpretation is not that tough. It suffices to know that an exponential equation can also be written as a logarithmic equation in order to comprehend logarithms.
Exponent and logarithm are inverses of one another. This is explained in the section below. John Napier, a mathematician, first developed logarithms as a technique to perform computations simply, and other scientists, engineers, etc. immediately embraced this idea.
The given logarithmic equation is:
log ([tex]y^{7}xz^{3}[/tex])
Now, we can use the properties of logarithms to expand this fully.
log (abc) = log a + log b+ log cTherefore,
log ([tex]y^{7}xz^{3}[/tex]) = log ([tex]y^{7}[/tex]) + log (x) + log ([tex]z^{3}[/tex])
log (a²) = 2log aTherefore,
log (y⁷) = 7 log y
log (z³) = 3 log z
Therefore, the expanded logarithmic expression is 7log y + log x + 3log z.
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Jorimiah scored 85 points in a basketball game. That was 1/8 of the points that he scored for the season. How many points did jorimiah score in the season.
Answers
Jorimiah score 680 points in the season.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Jorimiah scored 85 points in a basketball game.
That was 1/8 of the points that he scored for the season.
let Jorimiah score x points
So, 1/8 of x= 85
x= 85(8)
x= 680 points.
Hence, he score 680 points.
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15 pt = _______ qt
240
15/16
7 1/2
30
Answers
Answer:
7.5qt is the correct answer
6. Consider the ordered pairs.(0,0) (1.5,4.5) (3,9) (4.5,13.5). Write two rules. One for the x terms in the given ordered pair and one for the y terms. Describe the relationship between the corresponding terms.
Answers
the rule for x terms is 1.5x - 1.5 and the rule for y terms is 4.5y - 4.5.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
Given, the ordered pairs.(0,0) (1.5,4.5) (3,9) (4.5,13.5)
For x term:
The rule for x term that is 0, 1.5, 3, 4.5
First term = 0
difference = 1.5
From the general formula of Arithmetic sequence:
an = a + (n – 1)d.
thus,
Equation = 0 + (x -1 ) d
Equation = 1.5x - 1.5
For y term:
The rule for y term that is 0, 4.5, 9, 13.5
First term = 0
difference = 4.5
From the general formula of Arithmetic sequence:
an = a + (n – 1)d.
thus,
Equation = 0 + (x -1 ) d
Equation = 4.5x - 4.5
Therefore, The x-term rule is 1.5x-1.5, while the y-term rule is 4.5y-4.5.
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Pete i 15 and amy i 14 year old. Find out the maximum number of day that pete i older than amy
Answers
The maximum number of day is- 30472249.
Find out the maximum number of day that Pete i older than amy?Simply by subtracting the birth date from the current date. This conventional age formula can also be used in Excel. The first part of the formula (TODAY()-B2) returns the difference between the current date and date of birth is days, and then you divide that number by 365 to get the numbers of years.
Healthspan: years lived in good health. Chronological age: the number of years you have been alive. Biological age: how old your cells appear to be based on their current condition.
Age after n years = X + n.
Age n years ago = X – n.
n times the present age = nX.
If ages in the numerical are mentioned in the ratio A:B, then A:B will be AX and BX.
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Complete the table for different values of x in the polynomial expression -7x^2 +32x+240. Then, determine the optimal price that the taco truck should sell its tacs for. Assume whole dollar amounts for the tacos
Answers
If the taco truck were to sell its tacos for $1, it would earn a profit of $267. However, if they were to sell their tacos for $-1, they would incur a loss of $202.
[tex]x | -7x^2 + 32x + 240[/tex]
[tex]-1 | -7(-1)^2 + 32(-1) + 240 = 6 + 32 - 240 = -202[/tex]
[tex]0 | -7(0)^2 + 32(0) + 240 = 240[/tex]
[tex]1 | -7(1)^2 + 32(1) + 240 = -5 + 32 + 240 = 267[/tex]
The optimal price that the taco truck should sell its tacos for is $0. This is because when x is equal to 0, the value of the polynomial expression is at its highest point. This means that the taco truck will earn the most profit when they sell their tacos for $0.
However, it is important to note that this is not a realistic scenario and the taco truck would need to sell its tacos for a positive whole dollar amount.
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eric walks around a man-made circular lake (pictured above) four times. how far (in miles) has he walked?
Answers
The amount of total distance walked has walked by Eric in a man-made circular lake is 75.36 miles.
A circle's circumference is the length of its perimeter. The circumference of a circle can be calculated using length units such as centimeters, meters, or kilometers by opening a circle and measuring the boundary in the same way that we would measure a straight line.
Circumference = D* π
Total distance walked four times = 4.C
= 4 * D * π
= 4 * 6 * 3.14
= 75.36 miles
So, the total distance is 75.36 miles.
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The table shows a proportional relationship.
Workout (hours) 1 2 3
Calories Burned 190 380 570
Create a description in words for the table.
The number of calories burned is dependent on the number of hours working out. For every 190-hour workout, there is 1 calorie burned, and for every 380-hour workout, there are 2 calories burned.
The number of calories burned is dependent on the number of hours working out. For a one-hour workout, there are 190 calories burned, and for a two-hour workout, there are 380 calories burned.
The number of hours working out is dependent on the number of calories burned. For every 190-hour workout, there is 1 calorie burned, and for every 380-hour workout, there are 2 calories burned.
The number of hours working out is dependent on the number of calories burned. For a one-hour workout, there are 190 calories burned, and for a two-hour workout, there
Answers
The description of the proportional relationship on the table is given as follows:
The number of calories burned is dependent on the number of hours working out. For a one-hour workout, there are 190 calories burned, and for a two-hour workout, there are 380 calories burned.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
The variables for this problem are given as follows:
Input: number of hours.Output: number of calories burned.Hence the constant is given as follows:
k = 570/3 = 380/2 = 190/1 = 190 calories burned per hour.
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use the method of corners to find the point(s) that maximize the objective function p = 3x y
Answers
For the function P = 3x + y, there is no solution present to maximize it.
What is a function?
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
The given objective function -
P = 3x + y
Subjected to the constraints -
5x + 7y ≥ 35
3x + 4y ≤ 12
x ≥ 0, y ≤ 0
First consider the inequality 5x + 7y ≥ 35.
The equation of the above inequality is as follows -
5x + 7y = 35
Find two points that satisfies the above equation.
Take x = 0, then -
5(0) + 7y = 35
7y = 35
y = 5
The first point is (0,5).
Take y = 0, then -
5x + 7(0) = 35
5x = 35
x = 7
The second point is (7,0).
Substitute (x,y) = (0,0) and see the direction of the region for 5x + 7y ≥ 35.
5(0) + 7(0) ≥ 35
0 ≥ 35
This is not true.
Therefore, the region is non-origin side.
Now consider the inequality 3x + 4y ≤ 12.
The equation of the above inequality is as follows -
3x + 4y = 12
Find two points that satisfies the above equation.
Take x = 0, then -
3(0) + 4y = 12
4y = 12
y = 3
The first point is (0,3).
Take y = 0, then -
3x + 4(0) = 12
3x = 12
x = 4
The second point is (4,0).
Substitute (x,y) = (0,0) and see the direction of the region for 3x + 4y ≤ 12.
3(0) + 4(0) ≤ 12
0 ≥ 12
This is true.
Therefore, the region is origin side.
Plot the graph.
From the graph it can be seen that there are no corner points and no feasible region.
Therefore, there is no solution for the function.
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A primary credit cardholder has a current APR of 19.99%. What is the monthly periodic interest rate, rounded to the nearest hundredth of a percent?
1.67%
0.17%
16.67%
19.99%
Anyone who needs the answer its 1.67%
19.99/12
Answers
The monthly Period interest rate is 1.67( nearest hundredth)
What is APR?Annual percentage rate (APR) refers to the yearly interest rate you'll pay if you carry a balance on your credit card. Some credit cards have variable APRs, meaning your rate can go up or down over time.
To convert annual rate to monthly rate, when using APR, simply divide the annual percent rate by 12.
The APR of the card holder is 19.99%
Therefore the monthly Period interest will be calculated as ;
19.99/12
= 1.67% ( nearest hundredth)
therefore the monthly periodic interest is 1.67%
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a histogram of sample means converges to a normal distribution as the sample size increases.. T/F
Answers
Yes, this is true. This phenomenon is known as the Central Limit Theorem and it states that, as the sample size increases, the distribution of the sample mean converges to a normal distribution.
Yes, this is true. According to the Central Limit Theorem, as the sample size increases, the distribution of the sample mean converges to a normal distribution. This means that, when the sample size is large enough, the histogram of sample means will appear to be close to a normal distribution. This is because the mean of a large enough sample size will be close to the population mean, regardless of the shape of the original population distribution.
The Central Limit Theorem also states that the larger the sample size, the more closely the sample distribution will resemble a normal distribution. This is why, when the sample size is large enough, a histogram of sample means will appear to be a normal distribution.
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How find all zeros calculator works?
Answers
Answer:
In general, given the function, f(x), its zeros can be found by setting the function to zero. The values of x that represent the set equation are the zeroes of the function. To find the zeros of a function, find the values of x where f(x) = 0.
Step-by-step explanation:
Manoj and shira asked to find an explicit formula for the sequence -9, -27, -81, -243.
manoj said the formula is h(n) = -9*3^n, and
shira The formula is h(n) =-3*3^n. Which one of them is right?
A. Only manoj
B. Only shira
C. Both manoj and shira
D. Neither manoj nor shira
Answers
Option (A) Only Manoj is the correct answer. the correct formula for the sequence -9, -27, -81, -243 is [tex]h(n) = -9 * 3^n[/tex], as proposed by Manoj.
The formula for a sequence represents a pattern in the terms of the sequence. By finding an explicit formula for a sequence, we can generate any term of the sequence without having to list out all of the terms.
In this case, the sequence -9, -27, -81, -243 follows a pattern where each term is obtained by multiplying the previous term by 3. This can be represented by the formula [tex]h(n) = -9 * 3^n[/tex], where n is the index of the term in the sequence and [tex]3^n[/tex] represents 3 raised to the power of n.
In contrast, Shira's formula [tex]h(n) = -3 * 3^n[/tex] results in a different sequence, -3, -9, -27, -81, which does not match the given sequence.
Therefore, the correct formula for the sequence -9, -27, -81, -243 is[tex]h(n) = -9 * 3^n[/tex], as proposed by Manoj.
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what is the ordered pair for -5x + y = -10
Answers
Answer:
x = (2, 0), y = (0, -10)