Right triangle side lengths can be achieved in a few different ways. You can utilise various relationships or laws to discover the remaining side depending on what is offered.
Presented with two sides
The simplest way is to use the Trigonometry if you are aware of two additional right triangle sides:
a² + b² = c²
If leg an is the omitted side, change the equation such that an is still on one corner and compute the scale factor of that number:
a = √(c² - b²)
Leg b is equal to (c2 - a2) if foot b is unknown.
The formula for a deficient hypotenuse is c = (a2 + b2).
A right triangle has one symmetry boundary line if it is isosceles, meaning that its two different sides have an identical length. Otherwise, the triangle won't have any symmetries lines.
However, not all right-angled triangles are identical. If all of their angles have the same length as well as the relation of two among their angles is the same, then they are similar.
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what is hitters data python?
In Python, the term "hitters data" refers to a dataset that details the hitting statistics of Major League Baseball (MLB) players.
It is a well-known dataset in the area of sports analytics and is frequently utilized in applications for data analysis and machine learning.
The player name, team, and different statistics like hits, runs, home runs and batting averages are often variables in the Hitters dataset. To examine player performance and spot trends or patterns in the data, the dataset may be employed.
The Hitters dataset may be imported and worked with in Python using a variety of tools, including Pandas, NumPy, and Scikit-learn. Based on Hitter's data, these libraries enable data cleansing, exploratory analysis, and the construction of predictive models.
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I need help for both of them
The two compositions evaluated in x = -2 are:
(r o q)(-2) = 6
(q o r)(-2) = -25
How to find the compositions of functions?Here we know the functions:
q(x)= -3x - 1
r(x) = 2x - 4
And we want to find the two compositions in x = -2
First:
(r o q)(-2) = r( q(-2))
First, evaluating q(x) in -2
q(-2) = -3*-2 - 1= 6 - 1 = 5
Then:
r( q(-2)) = r(5) = 2*5 - 4 = 6
(r o q)(-2) = 6
The second one is:
(q o r)(-2) = q(r(-2))
Evaluating r in -2 we get:
r(-2) = 2*-2 - 4 = -4 - 4 = -8
Then:
q(r(-2)) = q(-8) = -3*8 - 1 = -25
(q o r)(-2) = -25
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Explain what the vertical line test is and how it is used.
What is the domain of the given function?
{(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}
{x | x = –4, –1, 3, 5, 6}
{y | y = –2, 0, 1, 4, 9}
{x | x = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}
{y | y = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}
Answer:
Look below
Step-by-step explanation:
The domain of any function is the x-value in an ordered pair.
{(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}
Write an additional equation that will complete the system of equations with no solution, one solution, and infinitely many solutions. The equation: -6y + 5x = -18
(a) The additional equation that will complete the system of equations with no solution is -2x + 3y = 7 and 4x - 6y = -16.
(b) The additional equation that will complete the system of equations with one solution is 2x + y = 8 and 3x - 2y = 7
(b) The additional equation that will complete the system of equations with infinitely many solutions is 4x - 6y = 12 and 2x - 3y = 6
What are the additional equations required?Some additional equations that can complete systems with no solution, one solution, and infinitely many solutions:
No solution:
-2x + 3y = 7
4x - 6y = -16
One solution:
2x + y = 8
3x - 2y = 7
Infinitely many solutions:
4x - 6y = 12
2x - 3y = 6
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Explain how to use the regression calculator to make a reasonable prediction
The regression calculator is a useful tool for making predictions based on historical data. This calculator is used to predict future outcomes based on past patterns.
To use the regression calculator, you must first collect the historical data that you want to use to predict the future. This can be anything from the number of sales of a product to the number of visitors to a website.
Once the data has been collected, you need to enter the regression calculator. This calculator will allow you to enter the data and then generate a regression model. This will give you a trend line that will fit the data you have entered. This trend line will allow you to predict the future outcome with some accuracy.
To make a reasonable prediction, you will need to adjust the model to ensure that the results are as accurate as possible. This is achieved by varying the parameters of the model, such as the type of regression (linear, polynomial, etc.), the number of variables and the variable boundaries. These parameters will influence the accuracy of the prediction.
Once the model is ready, predictions can be made using the trend line. The trend line will give you a prediction for the future based on the historical data entered. This will help you make informed decisions about the future.
In summary, the regression calculator is a useful tool for predicting the future based on past patterns. For best results, you should carefully adjust the model parameters to obtain an accurate trend line. This will allow you to make reasonable predictions regarding the future.
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which are the top five arms exporting states in the world?
According to the Institute, the top five exporters from 2014 to 2018 were the United States, Russia, France, Germany and China, while the top five importers were Saudi Arabia, India, Egypt, Australia and Algeria. Many developed countries have domestic munitions industries to supply their armies.
The military industry, also known as defense industry, defense industry, military industry, or arms trade, is a global industry that manufactures and sells weapons and military technology. Companies in the public and private sectors conduct research and development, design, manufacture and maintenance of military equipment, equipment and facilities. Arms industry products include weapons, ammunition, weapons platforms, military communications, and other electronic products. The military industry also provides other logistical and operational support.
This was a 4.6% increase over 2017 sales, marking the fourth consecutive year of Top 100 firearm sales growth. In 2004, more than $30 billion was spent on international arms trade (this % figure does not include domestic arms sales). According to the Institute, the top five exporters from 2014-2018 were the United States, Russia, France, Germany and China, while the top five importers were Saudi Arabia, India, Egypt, Australia and Algeria.
Many developed countries have domestic munitions industries to supply their armed forces. The Small Arms Survey estimates that there are 875 million small arms in circulation worldwide, manufactured by more than 1,000 companies in approximately 100 countries.
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Kamden is a mind-reading alien. He had each friend draw and look at a card, then he guessed whether the card had a star on it.
The two-way frequency table below shows data on guess and true status of the cards the friends drew.
Complete the following two-way table of row relative frequencies.
(If necessary, round your answers to the nearest hundredth.)
Kamden guessed a star Kamden guessed not a star
Card had a star 4 2
Card didn't have a star 1 752
The two-way frequency table of column relative frequencies for Kamden is shown below.
What is a two-way frequency table?
A two-way frequency table is a table that's used to graphically the represent frequencies or relative frequencies that are associated with two categorical variables.
How to complete the two-way frequency table?
When card had a star, the relative frequency that Kamden guessed a star is given by:
F(s) = 4/5
F(s) = 0.80.
Kamden guessed not a star is given by:
F(ns) = 2/754
F(ns) = 0.002 ≈ 0.00.
When card didn't have a star, the relative frequency that Kamden guessed a star is given by:
F(s) = 1/5
F(s) = 0.20.
Kamden guessed not a star is given by:
F(ns) = 752/754
F(ns) = 0.997 ≈ 1.00.
For the total, we have:
Total of F(s) = 0.80 + 0.20
Total of F(s) = 1.00.
Total of F(ns) = 0.00 + 1.00
Total of F(ns) = 1.00.
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Complete Question:
Kamden is a mind-reading alien. He had each friend draw and look at a card, then he guessed whether the card had a star on it. The two-way frequency table below shows data on guess and true status of the cards the friends drew. Complete the following two-way table of column relative frequencies. (If necessary, round your answers to the nearest hundredth.)
it is assumed that approximately 15% of adults in the u.s. are left-handed. consider the probability that among 100 adults selected in the u.s., there are at least 30 who are left-handed. given that the adults surveyed were selected without replacement, can the probability be found by using the binomial probability formula with x counting the number who are left-handed? why or why not?
The probability of at least 30 left-handed individuals in a sample of 100
What is boinomial probability ?
Binomial probability refers to the probability of a particular number of "successes" occurring in a fixed number of independent trials. In other words, it calculates the probability of a specific outcome happening a certain number of times in a given set of trials.
The binomial probability formula is:
P(X=k) = (n choose k) *[tex]p^{k}[/tex] * [tex](1-p)^{(n-k)}[/tex]
where:
P(X=k) is the probability of getting k successes in n trials
n is the number of trials
k is the number of successes
p is the probability of success on a single trial
(n choose k) is the binomial coefficient, which represent
He probability of selecting at least 30 left-handed individuals out of a sample of 100 adults in the US can be calculated using the binomial probability formula with x counting the number who are left-handed.
However, we must be careful when applying the formula to this problem because the sample is selected without replacement. The binomial distribution assumes that each trial is independent of the others, which is not the case when sampling without replacement.
In cases where the sample size is much smaller than the population size, the effect of not replacing the selected individuals is negligible. However, when the sample size is a substantial portion of the population size, as in this case, the probability of selecting an individual who is left-handed changes after each selection. This means that the probabilities of each selection are not independent, and the binomial formula cannot be used.
Therefore, to accurately calculate the probability of at least 30 left-handed individuals in a sample of 100 adults selected in the US without replacement, we need to use a different probability distribution, such as the hypergeometric distribution.
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Find the area of the shaded region. Round to the nearest square unit when applicable. Show appropriate work. formules, and substitutions.
The areas of the composite figures are listed below:
516 55π cm² 96 m² (29.5π + 77) m² 58 ft² 588 cm²How to determine the areas of composite figures
In this problem we need to determine the areas of composite figures, which are the result of adding and subtracting geometric figures, whose area formulas are listed below:
Rectangle
A = b · h
Triangle
A = 0.5 · b · h
Circle
A = π · r²
Semicircle
A = 0.5π · r²
Quarter of a circle
A = 0.25π · r²
Square
A = l²
Where:
b - Baseh - Heightl - Side lengthr - RadiusA - AreaNow we proceed to determine the area of each figure:
Area 1
A = 30 · 20 - 6 · 14
A = 600 - 84
A = 516
Area 2
A = π · (8 cm)² - π · (3 cm)²
A = (64 - 9) · π cm²
A = 55π cm²
Area 3
A = (14 m)² - 4 · (5 m)²
A = 196 m² - 100 m²
A = 96 m²
Area 4
A = 0.5π · (7 m)² + 0.5 · (14 m) · (11 m)
A = 29.5π m² + 77 m²
A = (29.5π + 77) m²
Area 5
A = (7 ft) · (10 ft) + (3 ft) · (4 ft)
A = 70 ft² - 12 ft²
A = 58 ft²
Area 6
A = (28 cm)² - 4 · 0.25π · (14 cm)²
A = 784 cm² - 196π cm²
A = 588 cm²
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the average american height is
According to CDC data as of 2021, the average height for adult men in the United States is around 5 feet 9 inches (69.2 inches or 175.7 cm), and the average height for adult women is around 5 feet 4 inches (64.2 inches or 162.5 cm).
Height is a measure of the distance between the base of an object and its highest point. Human height is commonly described as the vertical distance between the bottom of the feet and the top of the head. Height is generally measured in centimetres or feet and inches. Height is an important physical feature that can be influenced by both inherited and environmental factors such as nutrition and physical activity.
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Which statement is correct about the F distribution? A) Cannot be negative B) Cannot be positive C) Is the same as the t distribution D) Is the same as the z distribution
Option A) "Cannot be negative" is a correct statement about the F distribution. The F distribution is a probability distribution that is used in statistical hypothesis testing to compare the variances of two populations.
The assertion "cannot be positive" about the F distribution is erroneous. The F distribution can only accept positive values and cannot accept negative values; however, it can accept values greater than zero.
"Is the same as the t distribution" is an error. When the sample size is small or the population standard deviation is unknown, the t distribution is employed for testing hypotheses regarding the population mean.
"Is the same as the z distribution" is similarly erroneous. When the population standard deviation is known and the sample size is large, the z distribution is employed as a probability distribution.
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what is 1/4 times 2/3 as a fraction
Which of these sets of ordered pairs would define a line with a negative slope?
A. (5, 5) and (0, 1)
B. (2, 3) and (-4, -1)
C. (3, 6) and (5, 1)
D. (2, 3) and (76)
From the following sets of ordered pairs, line c, (3, 6) and (5, 1), has a negative slope.
To determine the slope of a line given two points, we can use the formula:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
If the slope is negative, it means the line is decreasing as we move from left to right, or in other words, it has a negative slope.
Let's apply the formula to each set of ordered pairs:
A. slope = (1 - 5) / (0 - 5) = -4 / -5 = 4/5 (positive slope)
B. slope = (-1 - 3) / (-4 - 2) = -4 / -6 = 2/3 (positive slope)
C. slope = (1 - 6) / (5 - 3) = -5 / 2. (negative slope)
D. This set has only one point (2, 3) and is therefore not sufficient to define a line.
Therefore, only option C has a negative slope. Option B has a positive slope. Option A has a positive slope. Option D is not sufficient to define a line.
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Turn the (a) Are they taking the test? (b) Write a letter. a lette (c) Don't make a noise. (d) Please bring some noodles. (e) Let him complete his work. (f) Does she compose poems? (g) Has she composed a song? (h) Did he To following sentences into passive voice. Opleted Linder
How do you find the average value of a function from a graph?
To find the average value of a function from a graph, you can follow these steps:
Determine the interval over which you want to find the average value of the function. This is usually denoted by [a, b].Use the graph of the function to determine the function values at the endpoints of the interval, f(a) and f(b).Use the formula for the average value of a function over an interval: Average value = (1 / (b - a)) * ∫(a to b) f(x) dx where ∫(a to b) f(x) dx represents the definite integral of the function over the interval [a, b].Evaluate the definite integral to find the average value of the function over the interval. Average value = (1 / (b - a)) * ∫(a to b) f(x) dxCompare the average value of the function to its values at the endpoints of the interval. If the average value is between f(a) and f(b), then the function has a horizontal line that intersects the graph at the average value.For more questions on Graphs
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A cylinder has a radius of 10 m and a height of 8 m. what is the exact volume of the cylinder? responses 18π m³ 18 pi, m³ 80π m³ 80 pi, m³ 160π m³ 160 pi, m³ 800π m³
The exact volume of a cylinder with a radius of 10 m and a height of 8 m is 800π m³. This can be calculated using the formula for the volume of a cylinder, which is V = πr²h. (option 4)
In that, r is the radius and h is the height of the cylinder. In this case, r = 10 m and h = 8 m, so the volume can be calculated as V = π(10 m)²(8 m) = 800π m³.
To calculate this volume, we first use the formula for the volume of a cylinder, which states that the volume is equal to πr²h, where r is the radius and h is the height of the cylinder. In this case, the radius of the cylinder is 10 m and the height is 8 m, so the volume can be calculated as
V = π(10 m)²(8 m) = 800π m³.This is the exact volume of the cylinder.
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Complete Question:
A cylinder has a radius of 10 m and a height of 8 m. what is the exact volume of the cylinder? responses
18π m³80π m³ 160π m³ 800π m³Hello, Everybody! I would need help with some sigma notation.
Expectations: ( Since this is kinda hard for me I will give brainliest but MUST have expectations. )
- Correct Answer
- Detailed Explantion
Please do not: ( If you do these things I will not hesitate to report you immediately )
- Spam
- Gibberish
- Random nonsense
Thank you have a happy lovely day.
Question: \/ \/ \/
Answer:
The value of the given expression to the nearest integer is 114,126.
Step-by-step explanation:
[tex]\displaystyle \sum^{29}_{n=2}80\left(1.23\right)^{n-2}[/tex]
The given sigma notation means
Sum of the series with nth term 80(1.23)ⁿ⁻², starting with n = 2 and ending with n = 29.As 80(1.23)ⁿ⁻² is exponential, the series is geometric.
[tex]\boxed{\begin{minipage}{5.5 cm}\underline{Geometric sequence}\\\\$a_n=ar^{n-1}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\\phantom{ww}$\bullet$ $r$ is the common ratio.\\\phantom{ww}$\bullet$ $a_n$ is the $n$th term.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}[/tex]
Therefore, the first term, a, is 80 and the common ratio, r, is 1.23.
The formula for the sum of the first n terms of a geometric series is:
[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]
As the exponent of the sigma notation is (n - 2) rather than (n - 1), and the given values of n are from n = 2 to n = 29, we need to find the sum of the first 28 terms.
Therefore, substitute a = 80, r = 1.23 and n = 28 into the sum formula:
[tex]\implies S_{28}=\dfrac{80\left(1-1.23^{28}\right)}{1-1.23}[/tex]
[tex]\implies S_{28}=114125.755...[/tex]
[tex]\implies S_{28}=114126[/tex]
Therefore, the value of the given expression to the nearest integer is 114,126.
which of the following methods can enid use to test her claim? choose the two correct answers. responses she could calculate the ratio change in calories burned to change in miles jogged for two data point and compare the results to the same ratio with two other data points. she could calculate the ratio change in calories burned to change in miles jogged for two data point and compare the results to the same ratio with two other data points. she could plot the data on a coordinate plane and see if a straight line starting at (0, 0) passes through all the data points. she could plot the data on a coordinate plane and see if a straight line starting at (0, 0) passes through all the data points. she could put the data in a table and check to see that the difference between the number of calories burned changes by the same amount for each row. she could put the data in a table and check to see that the difference between the number of calories burned changes by the same amount for each row. she could calculate the ratio between the number of calories burned for each pair of jogs and see if the ratio is always the same.
She should figure out how many calories she burned compared to how many miles she ran, which is the proper statement.
What is a ratio?When two amounts are quantitatively related, it is possible to see how many times one value contains or is contained by the other. for instance, "There are now two computers for every student."
Given here: The table containing data calories vs miles run.
Calculating the ratio between each pair of data in a table allows you to determine whether a proportional relationship is there. The table depicts a proportionate relationship if all of those ratios are the same.
Thus calculating the ratio for each pair of entries we get
1) ratio=118/1.2
=295:3a or unit rate 98.33 calories per mile
2) 190/2= 95:1 or unit rate 95 calories per mile
3) 226/2.4=565:6 or unit rate94.1
clearly, the ratios are different.
Hence, the table containing the data doesn't form a proportional relationship.
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Sharon is assessing the popularity of a fashion magazine for her blog. The number of subscribers to the magazine for the years 2000 to 2004 are given in the table.
Number of Years Since 2000 Number of Subscribers
0 25,000
1 20,000
2 16,000
3 12,800
4 10,240
The number of subscribers to the magazine
at a constant rate. The function that best represents this relationship is
.
The number of subscribers is
.
As the number of years since 2000 increases, the number of subscribers to the magazine will approach
.
As the number of years since 2000 increases, the number of subscribers to the magazine will approach zero, since the linear function p(x) = -4200x + 25000 is decreasing and has a negative slope.
What is a function ?
Function can be defined in which it relates an input to output.
The number of subscribers to the magazine is decreasing at a constant rate. This means that the relationship between the number of subscribers and the number of years since 2000 can be modeled by a linear function.
To find the function that best represents this relationship, we can use the two-point form of a linear equation. We will use the points (0, 25000) and (4, 10240) from the table.
The slope of the line passing through these two points is:
slope = (y2 - y1) / (x2 - x1)
= (10240 - 25000) / (4 - 0) = -4200
Using the point-slope form of a linear equation with the point (0, 25000), we get:
y - y1 = m(x - x1)
y - 25000 = -4200(x - 0)
y - 25000 = -4200x
y = -4200x + 25000
Therefore, the function that best represents the relationship between the number of subscribers and the number of years since 2000 is:
p(x) = -4200x + 25000
where x is the number of years since 2000 and p(x) is the number of subscribers to the magazine.
Using this function, we can find the number of subscribers to the magazine for any given year. For example, to find the number of subscribers in the year 2007 (7 years since 2000), we would substitute x = 7 in the function:
p(7) = -4200(7) + 25000
p(7) = 21800
Therefore, the number of subscribers to the magazine in the year 2007 is 21800.
Therefore, As the number of years since 2000 increases, the number of subscribers to the magazine will approach zero, since the linear function p(x) = -4200x + 25000 is decreasing and has a negative slope.
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Wally is employed as an executive with Pay More Incorporated. To entice Wally to work for Pay More, the corporation loaned him $20,000 at the beginning of the year at a simple interest rate of 1 percent. Wally would have paid interest of $2,400 this year if the interest rate on the loan had been set at the prevailing federal interest rate.b. Assume instead that Pay More forgave the loan and interest on December 31. What amount of gross income does Wally recognize this year?
Answer:18000$
Step-by-step explanation:
Stacy has 3 collector’s cards. She receives 2 more cards each week that she volunteers
at the student center.
Let x = the number of weeks.
Let y = the number of collector’s cards.
Which equation represents the amount of cards Stacy has?
Pls help me
The equation represents the amount of cards Stacy has: y = 2x + 3
At the beginning, Stacy has 3 collector's cards. Then, for every week she volunteers at the student center, she receives 2 more cards.
Let x = the number of weeks.
y = the number of collector’s cards.
So, after x weeks, she will have received 2x more cards. Therefore, the equation that represents the amount of cards Stacy has after x weeks is:
y = 2x + 3
Where y represents the number of collector's cards and x represents the number of weeks Stacy has volunteered at the student center.
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What is A divided by 6 is equal to a whole number?
Answer:
4
Step-by-step explanation:
I think and I hope I got it right sorry if I didnt
The answer I think is right is a=24
a/6=?
24/6=4
Use the subtraction property of equality to write 3 equations that have the same solution of x=12
The equations are x - 5 = 7, x - 7 = 5 and x - 4 = 8
How to determine the equationsThe solution to the equation is given as
x = 12
The subtraction property of equality states that if we subtract the same number from both sides of an equation, the equation remains true.
Using the above as a guide, we have the following:
x - 4 = 12 - 4 (subtract 4 from both sides)x - 5 = 12 - 5 (subtract 5 from both sides)x - 7 = 12 - 7 (subtract 7 from both sides)Each of these equations is equivalent to x = 12, since we have simply subtracted the same value from both sides of the equation.
Hence, the solution to each of these equations is x = 12.
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Find the coefficient of determination calculator
The coefficient of determination calculator is a tool that is used to calculate the proportion of the variation in the dependent variable that is explained by the independent variable
The coefficient of determination, also known as R-squared, is a statistical measure that ranges from 0 to 1, where 0 indicates that none of the variation in the dependent variable is explained by the independent variable, and 1 indicates that all of the variation in the dependent variable is explained by the independent variable.
To use the coefficient of determination calculator, follow these steps:
Input the data: You will need to enter the data for both the independent and dependent variables in the calculator. .
Run the calculation: Once you have input the data, the calculator will use it to calculate the coefficient of determination.
Interpret the result: The output of the calculator will be the coefficient of determination, expressed as a decimal.
It's important to note that the coefficient of determination is only meaningful for linear regression models, where the relationship between the variables is assumed to be linear.
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What is the result 27 divided by 3 ?
Answer:
Step-by-step explanation:
27/3=9
Find the measure of x X 52 12
Round to the nearest Hundredth
Answer:
Step-by-step explanation:
Step 1: Draw a line from the vertex of the angle to the given point on the x-axis.
Step 2: Draw a line from the given point to the point on the y-axis where the angle intersects the y-axis.
Step 3: Calculate the length of the line segment created in Step 2. This will be x.
Step 4: Calculate the measure of angle 0 by using the given measure of angle and the length of x. This will be 0 degrees.
Let A be a matrix with linearly independent columns. Which one of these statements must be true?A. The equation Ax=b never has a solution for all b.B. The equation Ax=b always has a solution for all b.C. The equation Ax=b has a solution for all b precisely when it has more columns than rows.D. There is no easy way to tell if Ax=b has a solution for all b.E. The equation Ax=b has a solution for all b precisely when it has more rows than columns.F. The equation Ax=b has a solution for all b precisely when it is a square matrix.G. none of the above
The correct statement is B. For all b, the equation Ax=b has a solution.
Since the columns of A are linearly independent, then the matrix A has full rank, and its column space is equal to the entire vector space in which it resides. This means that for any given vector b, we can find a linear combination of the columns of A that is equal to b, and therefore the equation Ax=b has a solution for all b.
Option A is incorrect, as there may be certain b vectors for which Ax=b has a solution.
Option C is incorrect, as the equation Ax=b may have a solution even when A has fewer columns than rows.
Option D is incorrect, as we can determine whether or not the equation Ax=b has a solution for all b by checking the rank of A.
Option E is incorrect, as the equation Ax=b may have a solution even when A has more columns than rows.
Option F is incorrect, as a square matrix may or may not have linearly independent columns, and therefore may or may not have a solution for all b.
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In the figure below, m2 = 76°. Find m< 1, m<3, m<4
Answer:*
m<1 = 76°
m<3 = 76°
m<4 = 180° - 76° = 104°
*My answer is based on the information you provided me.
Step-by-step explanation:
Unfortunately, I cannot see the figure you are referring to as you didn’t provide a picture. However, I can provide a general approach to solve this problem based on the information given.
Assuming that the figure is a diagram of intersecting lines, here's a way to find the measures of angles 1, 3, and 4:
1. Angles 2 and 3 are vertical angles, which means they have the same measure. Therefore, m<3 = 76°.
2. Angles 2 and 4 are supplementary angles, which means their measures add up to 180°. Therefore, m<4 = 180° - m<2.
3. Angles 1, 2, and 4 form a straight line, which means their measures add up to 180°. Therefore, m<1 + m<2 + m<4 = 180°.
4. Substitute the given measure of m<2 and the value of m<4 found in step 2 into the equation from step 3, and solve for m<1:
m<1 + 76° + (180° - 76°) = 180°
m<1 + 104° = 180°
m<1 = 76°
Therefore, the measures of angles 1, 3, and 4 are:
m<1 = 76°
m<3 = 76°
m<4 = 180° - 76° = 104°
Write an equation for a line perpendicular to y = -5x + 3 through (-5, -4)
The directrix of the parabola defined by the equation (x+9)²= -16(y-5) is x=-16(y-5)+9.
What is equation?Equation is a physical and mathematical statement that describe physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variables may be pointed such as you energy.
The directrix of a parabola is the line which is perpendicular to the axis of symmetry and is equidistant from the focus of the parabola. In this case, the axis of symmetry is y=5 and the focus is (9,-16).
The equation of a line perpendicular to the axis of symmetry is y=mx+b where m is the slope of the line and b is the y-intercept. The slope of the line perpendicular to the axis of symmetry is given by the negative reciprocal of the slope of the axis of symmetry. The slope of the axis of symmetry is 0, so the slope of the perpendicular line is undefined.
Using the point-slope form of the equation of a line, we can represent the equation of the directrix as x=-16(y-5)+9. This is because the point (9,-16) is equidistant from the directrix, so the y-intercept of the directrix is -16(5-5)+9 = 9.
Therefore, the directrix of the parabola defined by the equation (x+9)² = -16(y-5) is x=-16(y-5)+9.
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please help!! answer the question below
Answer:
First one is the true statement
<TUV ~<CED