Nul(A) = Nul(B) , Col(A) = Col(B) in integer matrices.
Describe matrix using an example?
A matrix is a collection of numbers that have been put in rows and columns to make a rectangular array. The entries of the matrix are the numbers, which are referred to as its elements.
In addition to many other areas of mathematics, matrices have extensive applications in the fields of engineering, physics, economics, and statistics.
The null space of any matrix A consists of all the vectors
X such that Ax = 0
And the column space of a matrix A is the span of its column vectors.
Let A = [tex]\left[\begin{array}{ccc}1&0&0 \\0&1&0\\0&0&1\end{array}\right][/tex]
Therefore, Nul(A) = {(0,0,0,w ) w∈ Z }
Col(A) = span{ (1,0,0), (0,1,0) , (0,0,1) }
By using definition of Null space of matrix and column space of matrix.
Let B = [tex]\left[\begin{array}{ccc}1&1&0\\0&1&0\\0&0&1\end{array}\right][/tex]
Nul(A) = {(0,0,0,w ) w∈ Z }
Col(A) = span{ (1,0,0), (0,1,0) , (0,0,1) }
Hence Nul(A) = Nul(B) , Col(A) = Col(B)
Learn more about matrix
brainly.com/question/28180105
#SPJ1
I need help with the image below
The value of x is -29
How to determine the valueIt is important to note that;
a diameter of a circle will always pass through the centertwo diameters of a circle will necessarily intersect at the centerWe have the diameters as;
-9x + 104 and 3x + 82
Also note that angles at the center is 360 degrees
This is then represented as;
-9x + 104 + 3x + 82 = 360
collect the like terms
-6x = 360 - 186
subtract the values
-6x = 174
Make 'x' the subject of formula, we get;
x = 174/-6
x = -29
Learn about diameters at: https://brainly.com/question/390660
#SPJ1
Joel and Rhonda were comparing their classroom economy bank accounts. The sum of their bank account balances was $160. The ratio of Joel’s account balance to Rhonda’s account balance was 4:1. How much more money does each student have in their account?
Answer:
Rhonda's: 32$ Joel's: 128$ Joel has 96 more dollars than Rhonda.
Step-by-step explanation:
4+1=5
5x=160
x=32
Rhonda's: 32$
Joel's: 128$
Joel has 96 more dollars than Rhonda.
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
Answer:
Step-by-step explanation:
y=9700(0.909)^x
# If the base of an exponential function is an element of the set (0,1) the function is decreasing as the value of 'x' is increasing from negative infinity to positive infinity.
the function y=9700(0.909)^x is an exponential function with a coefficient 9700 and base 0.909, as we increase the value of x from negative infinity to positive infinity, the value of y decreases. So the change between two consecutive 'y' values as 'x' increases indicate decay rather than growth.
And it can be written as y=9700(1-0.091)^x, therefore the percentage decrease is 9.1%
Which statement is true of triangles FGH and F'G'H?
Step-by-step explanation:
I suspect this to be a trick question.
because 2 statements are correct :
B and C.
according to the definition, two triangles are similar if their corresponding angles are congruent (identical) and corresponding sides are proportional (the ratio between the length of corresponding sides is equal for all pairs of corresponding sides, or, in other words, there is one scale factor for all 3 pairs of corresponding sides).
in fact, each criteria alone is sufficient.
if all 3 corresponding angles are identical between both triangles, the corresponding pairs of sides will be proportional.
if all 3 pairs of corresponding sides are proportional, then the corresponding angles are identical.
and the triangles are similar.
What is the area of the parallelogram?
Area of the parallelogram is 65 square meter.
What is Parallelogram?Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.
Opposite sides are parallel, and the opposite sides and opposite angles are equal.
Area of the parallelogram = Base × Height
From the figure,
Length of base = AB = 3 m + 10 m = 13 m
Height is also given as 5 m.
Area of the parallelogram ABCD = 13 m × 5 m
= 65 m²
Hence the required area of the parallelogram is 65 m².
Learn more about Parallelogram here :
https://brainly.com/question/19187448
#SPJ1
A student earned the scores in the data set in one course.
{78, 64, 74, 92, 67}
What is the mean of the scores?
75
74
64
28
Answer:
75.
Step-by-step explanation:
The mean = (78 + 64 + 74 + 92 + 67) / 5
= 375 / 5
= 75.
Answer:A.75
Step-by-step explanation:
i did it in class
The length of the rectangle is (4x + 2) and width of the rectangle 6x. Find the
perimeter of the rectangle.
A.10x + 2
B.20x + 4
C.10x + 4
D.20x - 4
Answer:
B. 20x + 4
Step-by-step explanation:
Perimeter of a rectangle = 2 × (Length + Width)
= 2 × [(4x + 2) + 6x]
Expand the brackets and bring like terms together:
= 2 × [4x + 2 + 6x]
= 2 × [4x + 6x + 2]
= 2 × [10x + 2]
Expand the brackets by applying the Distributive Law:
= 20x + 4
Option B.
Need help ASAP! Write the inequality to represent the graph.
(didnt mean to put it at highschool, whoops!)
The inequality that represents the graph is given as follows:
x < 4.
What are the inequality symbols?The four inequality symbols, along with their meaning, are presented as follows:
> x: greater than x.< x: less than x.≥ x: at least x.≤ at most x.The numbers to the right of 4 that are shaded on the number line are the numbers that are less than 4, with an open interval, due to the open circle at x = 4, hence the inequality is given as follows:
x < 4.
More can be learned about inequalities at brainly.com/question/25275758
#SPJ1
Math Fractions MOST LIKELY EASY 20 POINTS
Libby drinks 2 7/8 liters of water. Jack drinks 1 1/8 liters of water. How many more liters
of water does Libby drink than Jack?
The fraction of water Libby drinks is 1 6/8 more liters of water than Jack.
What are fractions?In mathematics, a fraction is represented by a numerical value that designates a portion of an entire. A fraction is a piece or section of a whole, where the whole can be any number, a particular value, or an object. Let's use an example to better comprehend this idea. A pizza cut into 8 equal pieces is depicted in the following diagram. Now, to describe a single portion of the pizza, we may use the notation 1/8, which indicates that, out of 8 equally sized portions, we are speaking of one portion.
Given that, Libby drinks 2 7/8 liters of water.
Coverting the mixed fraction into improper fraction:
2 7/8 = 2(8) + 7/ 8 = 23/8
Jack drinks 1 1/8 liters of water.
Coverting the mixed fraction into improper fraction:
1 1/8 = 8 + 1/8 = 9/8
The difference between is:
D = 23/8 - 9/8 = 14/8
14/8 = 1 6/8
Hence, Libby drinks 1 6/8 more liters of water than Jack.
Learn more about fractions here:
https://brainly.com/question/10354322
#SPJ1
The data set is this NOT the one in the IMAGE
THIS RIGHT HERE:{11,6,32,7,18,4,9,1,15,9,5,27}
Median would be a better measure of central tendency to use in the employees perspective, the mean of data set is 12.5 and median is 10, and
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Let us find the mean and median of the given data set {11,6,32,7,18,4,9,1,15,9,5,27}.
To find mean, we add up all the numbers and divide by the total number of numbers:
(11 + 6 + 32 + 7 + 18 + 4 + 9 + 1 + 15 + 9 + 5 + 27) / 12 = 12.5
So the mean number of years of employment is 12.5.
To find the median, we first need to put the numbers in order:
1, 4, 5, 6, 7, 9, 9, 11, 15, 18, 27, 32
Since there are 12 numbers, the median is the average of the middle two numbers, which are 9 and 11.
So the median is (9 + 11) / 2 = 10.
The median would be a better measure of central tendency to use, because it is less sensitive to extreme values than the mean
Hence, the mean of data set is 12.5 and median is 10, and median would be a better measure of central tendency to use in the employees perspective.
To learn more on Statistics click:
https://brainly.com/question/29093686
#SPJ1
The area of a circle is 49π m². What is the circumference, in meters? Express your answer in terms of
�
π.
Answer: 14π
Step-by-step explanation:
The area of a circle can be expressed as πr^2. In this case, the area is given as 49π m², so we can write:
πr^2 = 49π
Dividing both sides by π, we get:
r^2 = 49
Taking the square root of both sides, we get:
r = 7
The circumference of a circle is given by 2πr, so the circumference in this case would be:
C = 2π * 7 = 14π
So the circumference of the circle with an area of 49π m² is 14π meters.
HELPPPPPPPPPPPPPPPPPPPPPPPPP DUE RIGHT NOWWWWWWWWWWWWW
b) From the following data of rainfall and production of rice, find the most likely production corresponding to the rainfall of 40 mm Rainfall Production (mm). (quintals) Mean: 35. 50 s.d. 5. 8 Coefficient of correlation = 0.8
The most likely production for a rainfall of 40 mm is 56.4 quintals.
How to determine the production that correspond to the rainfallFrom the question, we have the following parameters that can be used in our computation:
Rainfall (mm) Production (quintals)
Mean 35 50
S.D 5 8
Coefficient of correlation = 0.8
First, we need to calculate the regression equation, which is:
y = a + bx
Where
y is the predicted value of production x is the rainfalla is the interceptb is the slope of the regression line.To calculate the intercept and slope, we use the following formulas:
b = r * (SDy / SDx)
a = Ymean - b * Xmean
Plugging in the given values, we get:
b = 0.8 * (8 / 5) = 1.28
a = 50 - 1.28 * 35 = 5.2
Therefore, the regression equation is:
Y = 5.2 + 1.28x
To find the most likely production for a rainfall of 40 mm, we plug in x = 40 into the regression equation:
Y = 5.2 + 1.28 * 40
Y = 56.4
Hence, the most likely production is 56.4 quintals.
Read more about linear relation at
https://brainly.com/question/10209928
#SPJ1
=-72[tex]x^{2}[/tex]
On solving for (x), we get -
x = ±i√(a/72).
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is the equation as -
- 72x² = a
The given equation is -
- 72x² = a
x² = -a/72
x = ±i√(a/72)
Therefore, on solving for (x), we get -
x = ±i√(a/72).
To solve more questions on functions & expressions, visit the link below
brainly.com/question/17613163
#SPJ1
how to write 1/400 as a percent
Answer:
0.25%
Step-by-step explanation:
Answer:
0.25%
Step-by-step explanation: you`re welcome :)
‼️WILL MARK BRAINLIEST‼️
(Easy!) The box plot shown displays the data on the response times of one hundred mice to see a flash of light.
What percent of mice responded in 0.8 seconds or more?
A. 25%
B. 50%
C. 75%
D. 100%
The percent of mice whose response time was 0.8 seconds or more is; Choice B; 50%.
How many mice responded in 0.8 seconds or more?As evident on the box plot; The response time, 0.8 seconds corresponds to the median of the plot.
Since the median represents the 2nd quartile of a distribution or otherwise termed , the 50th percentile;
It can be inferred that the percent of mice who responded in 0.8 seconds or more is; Choice B; 50%.
Read more on box plot;
https://brainly.com/question/24335827
#SPJ1
how is the bell shaped histogram?
A bell-shaped histogram is a type of graph that displays a normal distribution, which is a probability distribution that is symmetrical and has a characteristic bell shape.
The bell-shaped histogram is created by plotting the data on a horizontal axis and the frequency or probability on a vertical axis. The data points are grouped into intervals called bins, and the number of data points that fall into each bin is plotted as a bar. The bars are typically drawn adjacent to one another and connected with lines to create a continuous curve that represents the normal distribution.
The resulting histogram will have a characteristic bell shape, with a high point at the mean, and decreasing frequency or probability as the values move away from the mean in either direction. The width of the curve is determined by the standard deviation of the data, with wider curves indicating greater variation in the data.
The bell-shaped histogram is commonly used in statistical analysis to represent normally distributed data, such as the heights or weights of a population, test scores, or other measurements that tend to cluster around a central value with a predictable range of variation.
To learn more about bell-shaped histogram please click on below link
https://brainly.com/question/1291520
#SPJ4
will scale factor =12 enlarge, reduce or preserve
For {K} = 12, the image will remain preserved.
What is image dilation?An enlargement or reduction of a figure that preserves shape but not size.All dilations are similar to the original figure.Dilations have a center and a scale factor.Given is the scale factor of {K} = 12.
We can write the scale factor as -
reduction {for K < 1}
enlargement {for K > 1}
preserved {for K = 1}
For {K} = 12, the image will remain preserved.
Therefore, for {K} = 12, the image will remain preserved.
To solve more questions on dilation, visit the link below -
brainly.com/question/2859427
#SPJ9
help due tonight!!!!!!!! 100 points + Brainliest
The missing numerator are 7, 3, 6, 6, and 2
What are numerators?The Numerator is the number the at top of a fraction.
From the question, the numerators are
21) 2/3 x 7/5 = 14/15
The missing numerator here is 7
22) 5/6 X 3/7 = 5/14
The missing numerator here is 3
23) 3/4 X 6/7 = 9/14
The missing numerator here is 6
24) 6/9 X 2/4 = 1/2
The missing numerator here is 6
25) 9/10 X 2/3 = 3/5
The missing numerator here is 2
Learn more about numerators at:https://brainly.com/question/1217611
#SPJ1
Answer:
21) 7; 22) 3, 23) 6; 24) 6; 25) 2.-------------------------
Substitute ? with x and solve each equation.
21)
2/3 × x/5 = 14/152x/15 = 14/152x = 14x = 722)
5/6 × x/7 = 5/145x / 42 = 5/14x/42 = 1/14x = 42/14x = 323)
3/4 × x/7 = 9/143x/28 = 9/14x/28 = 3/14x/2 = 3x = 624)
x/9 × 2/4 = 1/3x/9 × 1/2 = 1/3x/18 = 1/3x = 18/3x = 625)
9/10 × x/3 = 3/53x/10 = 3/5x/2 = 1x = 2A farmer needs to fence a rectangular plot of land with the area of 3000 square yards. He considers several possible length of the plot: 50 yards, 40 yards, 48 yards, and 36 yards. What will be the width of the plot in each case? Do the length and the width of the rectangular plot vary directly or inversely when the same area is needed?
For length of 50 yards , the width is 60 yards, for length of 40 yards , the width is 75 yards, for length of 48 yards, the width is 62.5 yards , for length of 36 yards, the width is 83.33 yards, they are inversely proportional.
The formula for the area of a rectangle is: Area = Length * Width.
So, for the given case, we have:
Area = 3000 square yards
Length = 50 yards, 40 yards, 48 yards, or 36 yards
Therefore, the width of the plot in each case can be calculated as:
For Length = 50 yards,
Width = Area / Length
= 3000 / 50
= 60 yards
For Length = 40 yards,
Width = Area / Length
= 3000 / 40
= 75 yards
For Length = 48 yards,
Width = Area / Length
= 3000 / 48
= 62.5 yards
For Length = 36 yards,
Width = Area / Length
= 3000 / 36
= 83.33 yards
Therefore, the width of the plot depends on the length chosen and they are inversely proportional. When the length increases, the width decreases, and when the length decreases, the width increases.
To learn more about width click on,
https://brainly.com/question/18321868
#SPJ4
what is 79kg to lbs?
Answer: 79 kilograms is equal to 173.776 pounds.
Step-by-step explanation:
To convert kilograms to pounds, you can multiply the number of kilograms by 2.20462.
So, to convert 79 kilograms to pounds:
79 kg * 2.20462 = 173.776 lbs
Therefore, 79 kilograms is equal to 173.776 pounds.
What numbers do i put in the blanks
The solutions of the system are y = -8 and x = 9.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously are called simultaneous equations. And the simultaneous equation is the system of equations.
Given:
A system of equations,
5x + 6y = -3 {Equation 1}
8x + 8y = 8 {Equation 2}.
Multiply 8 into equation 1 and multiply by 5 into equation 2,
and subtract the equation,
we get,
40x + 48y - 40x - 40y = -24 - 40
8y = -64
y = -8 and x = 9
Therefore, the solutions are y = -8 and x = 9.
To learn more about the system of equations;
brainly.com/question/13729904
#SPJ1
find:
30% of 45
5% of 70
35% of 340
♡please help
Answer: 13.5, 3.5, and 119
Step-by-step explanation:
To find these percentages, we can use the formula:percentage = (percentage value / 100) x (original value)Using this formula, we can calculate:30% of 45:
percentage = (30 / 100) x 45
percentage = 0.3 x 45
percentage = 13.5
5% of 70:
percentage = (5 / 100) x 70
percentage = 0.05 x 70
percentage = 3.5
35% of 340:
percentage = (35 / 100) x 340
percentage = 0.35 x 340
percentage = 119
Answer:
Answers below :D
Step-by-step explanation:
1. 30% of 45:
Write 30% as 30/100
Since, finding the fraction of a number is same as multiplying the fraction with the number-
30/100 of 45 = 30/100 × 45
Therefore, the answer is 13.5.
2. 5% of 70:
Write 5% as 5100
Use same reason above to multiply-
5/100 of 70 = 5/100 × 70
Therefore, the answer is 3.5.
3. 35% of 340:
Write 35% as 35/100
Multiply-
35/100 of 340 = 35/100 × 340
Therefore, the answer is 119.
Junior is looking into buying a new car he has $2000 for a down payment and he wants to pay $250 per month. for Ford mustang has the following equation for a special deal Y equals 275X +2500 and a dodge charger has a special deal of Y equals 250 X +1500. which deal would work better for him? explain your answer.
Answer:
Step-by-step explanation:
First, we need to calculate the cost of each car after 60 months.
For the Ford Mustang:
Y = 275X + 2500
Y = 275 * 60 + 2500
Y = 16500
For the Dodge Charger:
Y = 250X + 1500
Y = 250 * 60 + 1500
Y = 15000
Next, we can compare the total cost of each car to determine which is the better deal.
In this case, the Dodge Charger is the better deal as it costs $1500 less than the Ford Mustang over the course of 60 months.
It's important to keep in mind that these calculations are based on the assumption that Junior will only make the minimum payments of $250 per month. If he decides to make larger payments or pay off the car early, the total cost of each car will be different.
Additionally, there may be other factors, such as the reliability and maintenance costs of each car, insurance costs, fuel efficiency, and driving experience, that should also be considered before making a decision. Junior should research and weigh all these factors before making a final decision.
In conclusion, the calculation of the cost of each car after 60 months is just one aspect of the decision-making process when buying a car. Junior should consider all relevant factors and weigh the pros and cons of each option before making a final decision.
evaluate 9.3p + 8.9r when p=7 and r=8
The value of the expression for the given p and r value is 136.3.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression is 9.3p + 8.9.
Here, p=7 and r=8
Substitute p=7 and r=8 in 9.3p + 8.9r, we get
9.3×7+8.9×8
= 136.3
Therefore, the value of the expression is 136.3.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ9
What is independent variable dependent variable and constant?
What is the formula of arc length of a curve?
Answer:
Arc Length=∫ba√1+[f′(x)]2dx. Note that we are integrating an expression involving f′(x), so we need to be sure f′(x) is integrable. This is why we require f(x) to be smooth.
Step-by-step explanation:
have a nice day
How do you find the percentage of yield in caculator?
To find the percentage of yield in a calculator, you can follow these steps:
1. Determine the actual yield and the theoretical yield of the reaction. The actual yield is the amount of product that was actually produced in the reaction, while the theoretical yield is the amount of product that should have been produced based on the balanced chemical equation.
2. Divide the actual yield by the theoretical yield to find the decimal form of the percentage yield.
3. Multiply the decimal form of the percentage yield by 100 to find the percentage yield.
For example, if the actual yield of a reaction is 15 grams and the theoretical yield is 20 grams, the percentage yield would be:
(15/20) x 100 = 75%
Therefore, the percentage yield of the reaction is 75%.
To know more about chemical equation click below:
https://brainly.com/question/30087623#
#SPJ11
Tom has to put 1000 bottles into crates. One crate will take 24 bottles
How many crates will Tom need?
Answer:
Step-by-step explanation:
To determine how many crates Tom needs to put 1000 bottles into, we can divide the number of bottles by the number of bottles that fit into one crate.
So,
number of crates = 1000 bottles / 24 bottles per crate = 1000 / 24 = 41.67 (approximately 42 crates)
Therefore, Tom needs 42 crates to put 1000 bottles into.