A matrix A is said to have only the trivial solution if the only solution to the system of equations, A x = 0, is the zero vector, x = 0.
The number of pivot columns in a matrix is equal to the rank of the matrix. Therefore, if A has only the trivial solution, it has rank 0, and so it has 0 pivot columns. To calculate the rank of a matrix, we can use the following formula: rank(A) = min(m, n) - dim(null A), where m and n are the number of rows and columns of A, respectively, and dim(null A) is the dimension of the null space of A.
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complete question:
Given an m x n matrix A, what is the number of pivot columns for A if it has only the trivial solution?
in one recent year, 630 different pitchers pitched to at least one batter in a major-league baseball game. if the probability of a randomly-selected person being left-handed is 0.117, how many of those pitchers would you expect to be left-handed? round to the nearest whole person.
You would expect 73 left-handed pitchers out of the 630 total pitchers in a major-league baseball game in one recent year.
The probability of a randomly selected person being left-handed is 0.117. Using this information, the expected number of left-handed pitchers in a group of 630 can be determined using the formula:
Expected Value = (Probability of Event) * (Number of Trials)
Expected Value = (0.117) * (630)
Expected Value = 73.31
Therefore, you would expect 73 left-handed pitchers out of the 630 total pitchers in a major-league baseball game in one recent year.
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Can yall please help me with this<3
a. The number of lawns the Nathan can cut with one full tank of gas is 4.5 lawns.
b. The calories in one pound of chicken will be 736 calories.
c. The number of bead in one foot of string will be 28.8 beads.
How to calculate the valuea. The number of lawns the Nathan can cut with one full tank of gas is:
= 3 ÷ 2/3
= 3 × 3/2
= 4.5 lawns
b. The number of calories in one pound of chicken will be:
= 276 / 6 × 16
= 736 calories.
c. The number of bead in one foot of string will be:
= 12/5 × 12
= 28.8 beads.
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the population of a town is 6348 people and is increasing at a rate of 1.3% per year. if this growth continues what will the population be in 5 years?
In 5 years, the town will have 7,359 people living there.
We can use a model of population growth over time to calculate this using an exponential equation. We must first determine the growth rate. Since we know that the population is growing at a rate of 1.3 percent per year, we can figure out the growth rate as follows: 1 minus (1.3/100) equals 1.013.
Next, we can set up the exponential equation, using the initial population of 6,348 and the growth rate of 1.013:
P(t) = 6348 *[tex]1.013^t[/tex]
where t is the time since the initial population was formed. t is 5 in this instance. We can now incorporate this into the equation to determine the town's population after five years:
P(5) = 6348 * [tex]1.013^5[/tex]
= 7,359
So the population of the town will be 7,359 people in 5 years.
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China and Germany specialize in the production of silk and automobiles respectively. They are considered the best at their specializations. Assume that China chooses not to trade silk with Germany in exchange for automobiles. Which perspective is China using in regards to not trading to another country which provides a specialization they do not have? O absolute advantage O comparative advantage O new trade theory O porter's model
both countries can benefit from trade by specializing in the goods and services that they are relatively more efficient at producing and exchanging them with each other.
Explain about comparative advantage.China is using the comparative advantage perspective in regards to not trading silk with Germany in exchange for automobiles. According to the theory of comparative advantage, a country should specialize in producing and exporting the goods or services that they can produce more efficiently or at a lower opportunity cost compared to other goods and services.
According to question;In this case, China has a comparative advantage in producing silk and a comparative disadvantage in producing automobiles compared to Germany, which has a comparative advantage in producing automobiles and a comparative disadvantage in producing silk.
Hence, both countries can benefit from trade by specializing in the goods and services that they are relatively more efficient at producing and exchanging them with each other.
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which of the following are potential limitations for a research study? choose all that apply. the sample size is too small the sample statistic is not exactly equal to the population parameter the sample is not representative of the population the wording of survey question influences the response self-selected sample
The sample size is too small, the sample is not representative of the population and the wording of survey question influences the response self-selected sample are potential limitations for a research study.
The sample size being too small can limit the accuracy and precision of the results and reduce the power of statistical tests.
A sample not being representative of the population can result in sampling bias, which can affect the validity of the results.
The wording of a survey question can influence the response, which can result in biased results. A self-selected sample, where participants voluntarily participate in a study, can also result in biased results because only those who are interested or motivated to participate will do so.
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two students wish to investigate how the amount of pollution and number of fish in a stream are related. identify the dependent and independent variables.
In this investigation, the dependent variable is the number of fish in the stream and the independent variable is the amount of pollution.
Variables are symbols or names that are used to represent values in a mathematical or scientific investigation. They allow us to describe and analyze patterns and relationships in data.
There are two main types of variables:
1. Independent variables are variables that are manipulated or controlled in an experiment to determine their effect on the dependent variable. The independent variable is also referred to as the predictor variable or the explanatory variable.
2. Dependent variables are variables that are being measured in an experiment and are dependent on the independent variable. The dependent variable is also referred to as the response variable or the outcome variable. It is the variable that is being affected by the independent variable.
The dependent variable is dependent on the independent variable, as changes in the amount of pollution are expected to affect the number of fish in the stream. The goal of the investigation is to determine the relationship between the two variables and see how changes in the amount of pollution affect the number of fish in the stream.
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in july, clare rode her bike 15 miles in 72 minutes, at her constant speed. a how long did it take her to ride 10 miles? show or explain your thinking. quizzes
To find the time it took Clare to ride 10 miles, we can use the concept of speed, which is defined as distance divided by time. In this case, Clare's constant speed was 15 miles in 72 minutes, so her speed is 15/72 miles per minute.
Using this speed, we can calculate the time it took her to ride 10 miles by dividing the distance by the speed:
Time = Distance / Speed
Time = 10 miles / (15/72 miles per minute)
Time = 10 * 72 / 15 minutes
Time = 43.2 minutes
So, it took Clare approximately 43.2 minutes to ride 10 miles at her constant speed of 15 miles in 72 minutes.
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Given this unit circle, what is
the value of x? (x,3/4) (1,0)
The value of the coordinate x will be 1 / 4 for the given unit circle.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that there is a unit circle in the image. The radius of the unit circle is equal to 1. The coordinate has the value of y is 3 / 4.
The value of the x-coordinate will be calculated as:-
x -coordinate = 1 - 3 / 4
x -coordinate = ( 4 - 3 ) 4
x -coordinate = 1 / 4
Therefore, the x-coordinate of the point is 1 / 4.
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Answer:
-7/4
Step-by-step explanation:
PLEASE HELP DUE SOON!!!
The solution to the system of linear equation are -1 and 2
What is system of linear equationA system of linear equations is a collection of two or more linear equations with the same variables. The goal is to find the values of the variables that satisfy all the equations in the system. Linear equations are equations that have variables that are raised to the power of 1 and the coefficients of the variables are real numbers.
In the problem, we have equations as;
y = 2x + 4 ..eq(i)
x + y = 1 ...eq(ii)
Plotting this on a graph,
The value of x and y are -1 and 2
From the above, the solutions the student gave is wrong
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a manufacturer of food products wants to collect data on item and flavor preferences in several international markets. it sends out a survey that has been accurately translated into the local language, but it still receives inconsistent results. in talking with a consulting firm, the manufacturer is informed that several of these countries have extremely high illiteracy rates and the survey answers may be only random guesses by the respondents. which problem associated with collecting primary data in global markets does this scenario exemplify?
He accurately translated the data but he still receives inconsistent results. So the option D "Insufficient comprehension" associated with collecting primary data in global markets does this scenario exemplify.
Manufacturers of consumer goods and retailers both have a huge need to reinvent themselves and envision the new normal. The fervor, quickness, ingenuity, and feeling of purpose that we have observed across many subsectors and geographies have consistently inspired us. More than ever, we think businesses should and should benefit from sharing knowledge as they navigate an uncertain future.
Of course, evergreen brands also require exceptional functional performance, and as private-label contract manufacturers advance, the standard keeps getting higher.
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The complete question is:
A manufacturer of food products is looking at entering several new markets in developing countries. Before it does this, the company wants to collect data on item and flavor preferences in these markets. It sends out a survey that has been accurately translated into the local language, but it still receives inconsistent results. In talking with a consulting firm, the manufacturer is informed that several of these countries have extremely high illiteracy rates and the survey answers may be only random guesses by the respondents. Which of the following problems associated with collecting primary data in global markets does this scenario exemplify?
A. Limited access
B. Unreliable sampling procedures
C. Inadequate demographic information
D. Insufficient comprehension
E. Unwillingness to respond
Anyone know how to do this
Answer:
this is an corresponding angle meaning it would be the same as angle DAE.
For IQ scores of students, state whether you would expect a histogram of the data to be bell-shaped, uniform, skewed left, or skewed right. Choose the correct answer below. Bell shaped Skewed right Uniform Skewed left
Given situation satisfies data dustribution to be skewed left
What does it signify if a student's grade distribution is biassed to the left?
The mean is typically lower than the median, which is frequently lower than the mode, if the data distribution is biassed to the left. The mode is frequently smaller than that of the median, which is lower than the mean, when the distribution of the data is skewed to the right.
How does IQ work?
intellectual capacity
The term "IQ" refers to intelligence level. IQ tests are a tool for assessing intellectual capacity. They are made to reflect a variety of cognitive abilities, including logic, reasoning, and problem-solving.
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A gym charges $25 to join plus $10 per month membership fee. Is this situation proportional or not proportional? Justify your answer.
The required equation model by "A gym charges $25 to join plus $10 per month membership fee." is y = 25 + 10x, which is not a proportional relationship.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let the number of months be x and the total amount for the gym after x months be y,
According to the question, A gym charges $25 to join plus $10 per month membership fee.
y = 25 + 10x
Thus, the equation model by "A gym charges $25 to join plus $10 per month membership fee." is y = 25 + 10x, which is not a proportional relationship.
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How many pounds are in 5 kilograms?
StartFraction 6 kilograms Over 13.23 pounds EndFraction = StartFraction 5 kilograms Over question mark pounds EndFraction
11.025 pounds
15.435 pounds
15.876 pounds
24.255 pounds
According to the question there will be 11.025 pounds.
What is pounds ?Pounds is a unit of measurement for weight, typically used in the imperial system of measurement. It is equal to 0.45359237 kilograms. Historically, it was defined as the weight of a single piece of lead that measures one pound in volume. Today, it is officially defined as exactly 0.45359237 kilograms. In the United Kingdom and Ireland, pounds is used as the currency.
11.025 pounds from all given options.
5 kg *2.2046226218 lbs
= 11.0231131092 lbs
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Camille's Frisbee has a diameter of 16 centimeters. What is the Frisbee's area?
Step-by-step explanation:
Assuming that the frisbee is a circle it would just be using the area of a circle function which is
A=pi(r)^2
So the radius is half the diameter
A=pi(8)^2
Exponents first
A=pi(64)
And multiply
Area equals then about 201.0619
However you may need to round for the right decimal.
solve the proportion 7/2 = x+1/6
The value of x from the given proportion is 20.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
The given proportion is 7/2 = (x+1)/6
Now, 7×6=2(x+1)
42=2x+2
2x=40
x=20
Therefore, the value of x is 20.
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Chanel is reading an assigned book for her history class. The graph below shows the number of pages remaining in the book based on the number of hours she has spent reading. Use the graph to answer the following question.
Answer:
y = -4,5x + 180
Step-by-step explanation:
y = kx + n
k = - 4,5
n = 180
The slope intercept form of an equation is y=-40x+140.
What is the slope intercept form?The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.
The standard form of the slope intercept form is y=mx+c.
From the given graph the coordinate points are (2, 100) and (1, 140).
Here, slope(m) = (140-100)/(1-2)
m= -40
Substitute m= -40 and (x, y)=(2, 100) in y=mx+c, we get
100=-40(1)+c
c=140
Substitute m= -40 and c=140 in y=mx+c, we get
y=-40x+140
Therefore, the slope intercept form of an equation is y=-40x+140.
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the price of an item yesterday was 180 today the price rose to 459 find the percentage increase
Answer:155.56%.
Step-by-step explanation:To find the percentage increase, we need to calculate the difference between the two prices and divide it by the original price, then multiply by 100 to express the answer as a percentage.
Percentage increase = (New price - Original price) / Original price * 100
Percentage increase = (459 - 180) / 180 * 100
Percentage increase = 279 / 180 * 100
Percentage increase = 155.56%
So the price of the item increased by 155.56%.
carol ate an entire 9 ounce bag of grapes. if one serving is 3 ounces and contains 60 calories, how many total calories did carol eat?
Carol consumed the whole nine-ounce package of grapes. if there are 60 calories per 3 ounce serving. 180 calories are included in 6 ounces of carol.
To calculate the probability of an occurrence, divide the total number of outcomes by the total number of possible outcomes. There are differences between probability and odds. Odds are calculated by dividing the likelihood that a circumstance will occur by the likelihood that it won't. Probability is a statistic used to assess the likelihood that an event will take place. When we toss the coin in the air, the probability that it will land with the heads side up is calculated. Here is a practical use of probability that you are probably already familiar with. We always check the weather forecast before a significant outing.
Since there are [tex]60[/tex] calories in [tex]3[/tex] ounces of ice cream
No of calories in [tex]1[/tex] ounce of carol eat [tex]=60/3[/tex]
Thus, the no of calories in [tex]9[/tex] ounces of grapes[tex]=[/tex] No of calories in [tex]1[/tex] ounces of carol eat [tex]*9[/tex]
= The no of calories in [tex]6[/tex] ounces of carol eat [tex]= 20*9= 180[/tex]
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multiplicative of the fraction 4 5
A Square pyramid is shown, with dimensions in centimeters (cm).
What is the volume, in cubic centimeters, of the pyramid? Show all work solving this problem.
- formula used and all work for the area of the base
- formula used and all work for the volume of the pyramid
The volume of the Square pyramid is 400 cm³
Volume of the Square pyramid:A square pyramid that has four triangular lateral faces with a square base is known as a Square pyramid.
The formula for the Volume of the Square pyramid is given by
Volume of Square pyramid = (1/3) × b² × h
Where
b = Side of the square base
h = Height of the pyramid
Here we have
A Square pyramid is shown, with dimensions in centimeters (cm).
Height of the pyramid, h = 12 cm
Base of the pyramid, b = 10 cm
By the formula, Volume of Square pyramid = (1/3) × b² × h
Volume of Square pyramid = (1/3) × (10)² × 12
= 100 × 4
= 400 cm³
Therefore,
The volume of the Square pyramid is 400 cm³
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What’s the population in six years?
79472.432 fewer people will live in Todsham in 6 years compared with now.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 7 is an equation.
We have,
Current population = 300,000
Decrease in population = 5%
Now,
The population after x years can be written as an equation.
y = 300,000 x [tex]0.95^x[/tex]
For x = 6,
y = 300,000 x [tex]0.95^6[/tex]
y = 300,000 x 0.7351
y = 220527.568
Now,
The difference in population after 6 years.
= 300,000 - 220527.568
= 79472.432
Thus,
79472.432 fewer people.
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The measure of an angle is 34°. what is the measure of its supplement? responses 34° 34° 56° 56° 146° 146° 214°
The measure of of the supplement angle would be 146°.
What is a radian?
The radian is the unit of angle in the International System of Units and is the standard unit of angular measure used in many areas of mathematics
Given is the angle 34°.
Let the measure of the supplement angle be {x}. So, we can write -
{x} + 34 = 180
{x} = 180 - 34
{x} = 146°
Therefore, the measure of of the supplement angle would be 146°.
f(x) =2x - 3
g(x) = 3x +1
Find (f • g)(x).
Answer
4
so its your ans
algebra 1 T.24 Point-slope form: write an equation PPE
The points (-5, -4) and (4, 1) fall on a particular line. What is its equation in point-slope
form?
Use one of the specified points in your equation. Write your answer using integers, proper
fractions, and improper fractions. Simplify all fractions.
DO
The equation of the line passing through given points in slope-intercept form is y = 5x/9 + 11/9
What is equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, a line is passing through two points (-5, -4) and (4, 1), we need to find its equation,
We know that, an equation of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by,
(y-y₁) = (y₂-y₁) / (x₂-x₁) (x-x₁)
Here, (x₁, y₁) and (x₂, y₂) = (-5, -4) and (4, 1),
Therefore,
(y₂-y₁) / (x₂-x₁) = 1+4 / 4+5 = 5/9
Setting the equation,
y+4 = 5/9 (x+5)
y+4 = 5x/9 + 25/9
y = 5x/9 + 11/9
Hence, the equation of the line passing through given points in slope-intercept form is y = 5x/9 + 11/9
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True or False?
Every rectangle with four congruent sides is a square.
Every rhombus is a quadrilateral.
Every square is a parallelogram.
Every quadrilateral is a square.
A square is any rectangle with four similar sides: TRUE
Rhombuses are all quadrilaterals: FALSE
A parallelogram exists in every square: FALSE
A square exists in every quadrilateral: TRUE
What are quadrilaterals?A quadrilateral in geometry is a four-sided polygon with four sides and four corners (vertices).
The Latin words quadri, a variation of four, and latus, meaning "side," are the source of the name.
In reference to other polygons, it is also known as a tetragon, from the Greek "tetra" for "four" and "gon" for "corner" or "angle" (e.g. pentagon).
The square is the only quadrilateral that is regular (all sides and angles are equal).
Therefore, every other quadrilateral is irregular.
A square is any rectangle with four similar sides.
Not all rhombuses are quadrilaterals.
Not all squares are parallelograms.
A square exists in every quadrilateral.
Therefore, a square is any rectangle with four similar sides: TRUE
Rhombuses are all quadrilaterals: FALSE
A parallelogram exists in every square: FALSE
A square exists in every quadrilateral: TRUE
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when joe received a 200$ bonus from his boss, he decided to use it on new clothes. he bought new shoes, a new tie, and a new shirt and had $10 left over. the shoes cost three times as much as the tie and shirt together, and the shirt cost a quarter as much as the shoes and tie together. how much did joe pay for his new shoes? for the tie? for the shirt?
The cost of the tie was 127.50 - (90 + 7.50) = 30.
Joe paid 90 for his new shoes, 30 for the tie, and 7.50 for the shirt.
The total cost of the shoes, tie, and shirt was 127.50.
The cost of the shoes was 3 times the cost of the tie and shirt together. Therefore, the cost of the shoes was 3 x (30 + 7.50) = 90.
The cost of the shirt was a quarter the cost of the shoes and tie together. Therefore, the cost of the shirt was (90 + 30) / 4 = 7.50.
The cost of the tie was the remaining amount after subtracting the cost of the shoes and shirt from the total cost. Therefore, the cost of the tie was 127.50 - (90 + 7.50) = 30.
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he width of a rectangle is w cm.
The length is 3 cm more than the width.
a Write down a formula for the area, a cm2, in terms of w.
b Write down a formula for the perimeter, p cm, in terms of w.
If the width of a rectangle is equal to wcm, and the length is 3cm more than the width, we can use this equation to solve for the area:
(Let 'a' = area and 'p' = perimeter)
(w+3) × w = aTo solve for the perimeter, we can use this equation:
[(w+3) × 2] + (w × 2) = pTherefore, the equations you can use to solve for the area and perimeter are (w+3) × w = a and [(w+3) × 2] + (w × 2) = p
find the least positive integer $n$ such that no matter how $10^n$ is expressed as the product of two positive integers, at least one of these two integers contains the digit 0.
The least positive integer $n$ such that no matter how $10^n$ is expressed as the product of two positive integers, at least one of these two integers contains the digit 0, is 7.
Latex formula for equation.
f(x) = x^2 + 2x + 1
Let's consider the factorization of $10^n$ for increasing values of $n$.
For $n = 1$, $10^1 = 10$ which contains the digit 0.
For $n = 2$, $10^2 = 100$ which contains the digit 0.
For $n = 3$, $10^3 = 1000$ which contains the digit 0.
For $n = 4$, $10^4 = 10,000$ which contains the digit 0.
For $n = 5$, $10^5 = 100,000$ which contains the digit 0.
For $n = 6$, $10^6 = 1,000,000$ which contains the digit 0.
For $n = 7$, $10^7 = 10,000,000$ which contains no digit 0.
Therefore, the least positive integer $n$ is 7.
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what is the soulution to the equation 37 x = 9 x + 4
Answer:
x = 6.5
Step-by-step explanation:
37x = 9x + 4
37x - 9x = 4
26x = 4
x = 6.5