suppose a is a 43 matrix and b is a vector in with the property that axb has a unique solution. what can you say about the reduced echelon form of a? justify your answer.

The reason that best supports Statement 4 in the

given proof is option A. Addition Property of Equality

The statement 4, "4x + 18 = 78," is an equation that is being derived from the previous statements in the proof. The left side of the equation (4x + 18) represents the value of m/X, which was given as 4x + 18 in statement 2.

The right side of the equation (78) represents the value of m2Y, which was given as 78° in statement 3.

Therefore, statement 4 is derived by substituting the known values of m/X and m2Y into the equation m/X = m2Y, which was given as statement 1.

The reason for this substitution is the Addition Property of Equality, which states that if you add the same value to both sides of an equation, the two sides remain equal.

In this case, the same value (4x + 18) is being added to both sides of the equation m/X = m2Y, resulting in the equation 4x + 18 = 78.

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Answer:

a=4, b = 12

Step-by-step explanation:

This is a relatively simple question once you break it down. Make two equations based on the rectangles given:

64 = 4b + 4a

56 = 8a + 2b

64 = 4b + 4a => 64 = 4 (b+a) => 16 = b + a

isolate for a variable (any will do I just chose b)

16 - a = b

56 = 8a + 2b => 56 = 2(4a + b) => 28 = 4a + b

isolate for b then plug in equation

28 - 4a = b

16 - a = 28 - 4a

28 - 16 = -a + 4a

12 = 3a

4 = a

16 - a = b

b = 16 - 4

b = 12

Assuming my math is right, this should be your answer

the probability that a student scored greater than 65 is 0.2389.

The probability that a student scored greater than 65 can be calculated using the standard normal distribution and the z-score. The z-score represents the number of standard deviations a value is from the mean, and can be calculated as follows:

z = (x - mean) / standard deviation

Where x is the score of interest (65)

Mean is the average score of the students (70)

Standard deviation is the standard deviation of the scores (7).

Plugging in the values, we get

z = (65 - 70) / 7 = -0.714.

Using a standard normal distribution table, we can find the probability that a student scored greater than 65 by finding the area to the right of the z-score. The probability of a student scoring greater than 65 is approximately 0.2389, or 23.89%.

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Answer:

Below

Step-by-step explanation:

Perimeter A = 2 (x+2 +x) = 4x + 4

Perimeter B = 2 ( 4x+2x) = 12x

now,equate them

4x+4 = 12x    solve for x   ....subtract 4x from both sides

4 = 8x

x = 1/2

Answer:

Step-by-step explanation:

its 18 ღ

The graph of the inequality, 2x + y ≥ 4, is: option 1.

Given the inequality, 2x + y ≥ 4, rewrite in slope-intercept form:

2x + y ≥ 4

y ≥ -2x + 4

Thus, this means that the slope of the graph will be a declining slope of -2, and it will intercept the y-axis at 4.

Also, since the inequality sign is ≥, the shaded region will be above a solid line.

Option 1 has a slope of -2 and is also a solid line having the shaded part above it.

Therefore, the correct graph is option 1.

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Hello/Salut

–6g + –g − –14g − –10g + –2g = –15
–7g - –14g - –10g + –2g = –15
7g - –10g + –2g = –15
17g + –2g = –15
15g = –15
g = –1

I hope it was helpful! :]

For the combination of n = 25 and p = 0.5 it is reasonable to assume that the sampling distribution of the sample proportion p will be approximately normal.

As per the given data:

A random sample is to be selected from a population

Here we have to determine for which combination of n and p is reasonable to assume that the sampling distribution of the sample proportion p will be approximately normal.

For this we have to multiply the value of n and the value of p.

Option (A):

n = 10 and p = 0.4

np = 10 × 0.4

np = 4

Option (B):

n = 25 and p = 0.5

np = 25 × 0.5

np = 12.5

Option (C):

n = 30 and p = 0.2

np = 30 × 0.2

np = 6

Option (D):

n = 40 and p = 0.1

np = 40 × 0.1

np = 4

Option (E):

n = 100 and p = 0.05

np = 100 × 0.05

np = 5

Compare all the combinations of np.

Option (B) is correct because it has the highest value of np.

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A random sample is to be selected from a population. For which combination of n and p is it reasonable to assume that the sampling distribution of the sample proportion p will be approximately normal?

(A) n = 10 and p = 0.4

(B) n = 25 and p = 0.5

(C) n = 30 and p = 0.2

(D) n = 40 and p = 0.1

(E) n = 100 and p = 0.05

The approximate values for the definite integral of x⁶ over the interval [1, 2].

An integral is a mathematical tool used to calculate the total amount of some quantity that changes continuously over a given interval.

The Trapezoidal rule approximates the definite integral of a function by dividing the interval of integration into a number of smaller subintervals, and then using trapezoids to approximate the area under the curve.

The formula for T6 is:

T6 = (b-a) * (f(a) + f(b)) / 2,

where a and b are the limits of integration, and f(x) is the function being integrated.

However, instead of using trapezoids, the Midpoint rule uses rectangles to approximate the area under the curve.

The formula for M6 is:

M6 = (b-a) * f((a + b) / 2)

To calculate T6 and M6 for the integral (a=1)(b=2)x⁶dx, we need to use the formulas above and plug in the appropriate values for a, b, and f(x). The function f(x) is x⁶, so:

T6 = (2 - 1) x (1⁶ + 2⁶) / 2 = 1 x (1 + 64) / 2 = 32.5

M6 = (2 - 1) x (2⁶)¹/₂ = 1 x (64)¹/₂ = 8

So, T6 = 32.5 and M6 = 8.

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Answer: Maybe B

Step-by-step explanation:

Guess from heart.

Answer:

Сильные:

Упорный, нацеленый на результат

Уверен в себе

Трудолюбивый

Общительный

Организованный

Самостоятельный

Дисциплинированный

Слабые:

Излишне стеснительный

Чрезмерно эмоциональный

Раздражительный и даже агрессивный

Не обладающий силой воли

Не умеющий вовремя промолчать

Гиперактивный

Принципиальный

De acuerdo con la información, se puede inferir que la respuesta correcta es la opción C. Solo III, debido a que las otras afirmaciones están erradas.

Para identificar las afirmaciones correctas debemos evaluar cada una de ellas tendiendo en cuenta la información principal. En el caso de la primera afirmación es falsa debido a que 21 monedas representan un cuarto del dinero total entonces habría 84 monedas en total, no 27.

En el caso de la segunda afirmación es falsa debido a que el enunciado dice que hay 12 monedas de 5$ por lo que habría más monedas de las que dice en la opción.

En el caso de la tercera afirmación es verdadera debido a que el dinero total sí equivale a $600 como se muestra a continuación:

12 * $5 = $60

9 * $10 = $90

$90 + $60 = $150

$150 * 4 = $600

Por lo anterior, la afirmación III es verdadera, entonces la opción C sería la única correcta.

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This is a difficult decision that you have to make. On the one hand, you really want to see the play and have come all this way to do so.

On the other hand, you have lost a $100 bill and may not be able to afford a ticket. Ultimately, it is your decision to make. If you have the financial means, you could consider buying a ticket and seeing the play. Alternatively, you could look for discounted tickets if available or wait until you have the funds available before buying a ticket.

The cost of a ticket to watch a play depends on the venue, seating arrangements, and other factors. Generally speaking, tickets for a play can range from around $10 to upwards of $100, depending on the show and its popularity.

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The area of the rectangle is 36.83 m² and perimeter is 25.42 m

A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°). The opposite sides of a rectangle are equal and parallel.

Given that, you design a tree house using a coordinate plane in which the coordinates are measured in meters. The vertices of the rectangular floor are (0,5), (4,3), (4,13) and (8,11).

We know that, distance between two points is = [tex]\sqrt{(x_{2}-x_{1} )^2+(y_{2} -y_1)^2}[/tex]

Distance between (0,5) and (4,3) = [tex]\sqrt{(4-0)^2+(3-5)^2}[/tex]

= [tex]\sqrt{16+4}[/tex]

= 4.47 m

Distance between (4, 3) and (8, 11) = [tex]\sqrt{(8-4)^2+(11-3)^2}[/tex]

= [tex]\sqrt{4+64}[/tex]

= 8.24 m

Therefore, in reference to the rectangle given, the length = 8.24 m and width = 4.47 m

Area of the rectangle = 4.47 x 8.24 = 36.83 m²

Perimeter = 2(4.47+8.24) = 2 x 12.71 = 25.42 m

Hence, the area of the rectangle is 36.83 m² and perimeter is 25.42 m

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As per the given measurement, the value of 52 cm - 13.1 cm is 39 cm.

The term in math measurement is defined as quantifies the characteristics of an object or event, which we can compare with other things or events which is the most commonly used word, whenever we deal with the division of a quantity.

Here we have given the expression 52 cm - 13.1 cm.

As we have to subtract the expression then we have written as,

=> 52 - 13.1

When we subtract is then we get the difference as 38.9

Now, we have to round off the value then we get the result as 39 cm.

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The ratio of blue marbles to the total number of marbles is; 3:16.

The total number of marbles in the jar is 18 red + 12 blue + 20 yellow + 14 green = 64.

So, the ratio of blue marbles to the total number of marbles can be expressed as 12:64.

This ratio can be simplified by dividing both the numerator and denominator by the greatest common factor, which in this case is 4.

So, the simplified ratio becomes 12/4 : 64/4 = 3:16.

This means for every 16 marbles in the jar, 3 of them are blue.

The simplified ratio of 3:16 can be understood as a fraction, where the numerator represents the number of blue marbles and the denominator represents the total number of marbles in the jar.

This fraction can be converted to a percentage by multiplying it with 100, which gives 18.75%.

Therefore, the ratio of blue marbles to the total number of marbles is 12:64, which simplifies to 3:16.

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The line that represents the axis of symmetry will be the lines m, h, and g. When the figure is rotated by 120 degrees, 240 degrees, and 360 degrees then the figure remains the same.

Axial symmetrical is similarity around an axis; an item is internally symmetric if it retains its appearance when turned around an axis.

The reflection does not change the shape and size of the geometry. But flipped the image.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

The line that represents the axis of symmetry will be the lines m, h, and g. When the figure is rotated by 120 degrees, 240 degrees, and 360 degrees then the figure remains the same.

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The amount of money that Jace would have to pay in total if he goes on 5 rides is; $40

The amount of money that Jace would have to pay in total if he goes on r rides is; 5r + 15

The general form of the equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Now, Since the price of admission into the park is $15, it means that it is the y-intercept. Thus, c = $15

He pays $5 for every ride and as such this will be the slope. Thus;

Total cost = 5x + 15

where x is number of rides

For 5 rides;

Y(5) = 5(5) + 15

= $40

For r rides, the total cost is;

y(r) = 5r + 15

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Answer:    x/3

Step-by-step explanation:

Say "x" is the number of yards you are given.

remember that one yard = 3 feet.

in order to convert x amount of yards into feet, you must divide x by three.

giving you=  x/3

Answer:

y= -3/5x+9/20

I graphed it to be sure it works. Hope this helped!

Step-by-step explanation:

The measure of angle 2 is 23 degrees.

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle. It is not necessary for the angle to be in Euclidean space if it lies in the plane. Angles are referred to as dihedral angles if they are created by the intersection of two planes in a space other than Euclidean.

Let the measure of angle 2 be x.

Then the measure of angle 1 = x + 17

The measure of angle ABD = 63.

From the figure we can observe that:

ABD = angle 1 + angle 2

Substitute the values:

63 = x + 17 + x

63 - 17 = 2x

46 = 2x

x = 23

Hence, the measure of angle 2 is 23 degrees.

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There probability are 17,576,000 different ways to arrange the 26 letters of the alphabet so that the vowels a, e, I o, and u never appear back-to-back.

There are 21 consonants and 5 vowels (a,e,i,o,u) (all other letters).

The vowels can be arranged in 5! = 120 different ways.

The consonants can be arranged in 21! = 5,109,400,800 different ways.

The product of the two integers is 17,576,000, which is the total number of possible arrangements for all letters.

26 letters make up the alphabet, and 5 of them are vowels (a,e,i,o,u). We must determine how many ways there are to organize the vowels and consonants before we can determine how many ways there are to arrange the letters so that no two vowels appear consecutively.

There are 5! = 120 different ways to order the vowels. This is due to the fact that there are 5 vowels that must be grouped in various ways. Since there are 21 consonants that can be arranged, there are 21! = 5,109,400,800 different combinations that can be made. The product of the two integers is 17,576,000, which is the total number of possible arrangements for all letters.

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Answer:

dd osama

Step-by-step explanation:

The function is y = 3800 * (2.63)^x

There are 1257529 bacteria after 6 hours.

A. Let y be the number of bacteria after x hours.

We know that y=10,000 when x=1 and

y=3,800 when x=0.

So we can write the equation as follows:

y = 3800 * (10,000/3,800)^x

Evaluate

y = 3800 * (2.63)^x

B. To find the number of bacteria after 6 hours, we substitute x=6 into the equation above:

y = 3800 * (2.63)^6

Evaluate

y = 1257529

So, there are 1257529 bacteria after 6 hours.

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If the function f(x) = x² and function g(x) = √(x - 4) , then the domain of g(f(x)) is (d) all real numbers |x| ≥ 2 .

The Domain of a function is defined as the set of all input values for which the function is defined and produces a valid output.

⇒ The domain of f(x) = x² is all real numbers because squaring any real number results in a valid result .

⇒ The domain of g(x) = √(x - 4) ; we know that the square root of a number must be non-negative.

The square root is taken of (x - 4), so (x - 4) must be ≥ 0 . This means that x must be ≥ 4.

The domain of g(f(x)), we need to substitute f(x) into g(x).

So, g(f(x)) = g(x²) = √(x² - 4).

The domain of this expression is all real numbers x such that

⇒ x² - 4 ≥ 0 and

⇒ |x| ≥ 2. This is because x² must be ≥ 4, and taking the square root of a positive number results in a valid result .

Therefore , the domain of g(f(x)) is (d) all real numbers |x| ≥ 2 .

The given question is incomplete , the complete question is

If f(x) = x² and g(x) = √(x - 4) , what is the domain of g(f(x)) ?

(a) all real numbers

(b) all real numbers x ≥ 0

(c) all real numbers x ≥ 4

(d) all real numbers |x| ≥ 2 .

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False. The weight of a variable in a standardized predictor environment does not necessarily indicate that the variable has a higher discriminating power.

Discriminating power is determined by the correlation of a predictor variable with the outcome variable. We can calculate the correlation between a predictor variable and an outcome variable using Pearson's correlation coefficient, which is represented by the formula:

r = (NΣXY - (ΣX)(ΣY)) / √[(NΣX2 - (ΣX)2)(NΣY2 - (ΣY)2)].

In this formula, N is the sample size, ΣX is the sum of the predictor variable, ΣY is the sum of the outcome variable, ΣXY is the sum of the products of the predictor and outcome variables, and ΣX2 and ΣY2 are the sums of the squares of the predictor and outcome variables, respectively. The Pearson's correlation coefficient ranges from -1 to +1, with +1 indicating perfect positive correlation, 0 indicating no correlation, and -1 indicating perfect negative correlation. A higher correlation coefficient indicates a higher discriminating power.

Therefore, the weight of a variable in a standardized predictor environment does not indicate whether or not the variable has a higher discriminating power; this is determined by the correlation between the predictor and outcome variables.

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Answer: (12+5)+2

Step-by-step explanation:

12+5=17

17+2=19

Answer:

12+(5+2)

Step-by-step explanation:

you must do 5 plus 2 first because you are adding 12 to their product. which is the answer to an addition problem. so you are given...

The total price of the pair of pants is 34.32 dollars.

Evelyn went shopping for a new pair of pants. Sales tax where she lives is 4%. The price of the pair of pants is $33. Therefore, the total price of the pants including the sales tax can be calculated as follows:

Therefore,

sales tax in dollars = 4% of 33

sales tax in dollars = 4 / 100 × 33

sales tax in dollars = 132 / 100

sales tax in dollars = 1.32 dollars

Therefore,

total price3 of the pants = 33 + 1.32

total price3 of the pants = 34.32 dollars

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The equation Monique, Clarence, Jose and Quincy linear graph is y = (-1/2)x, y = (1/2)x, y = 1.5x + 1 and y = -1.5x - 1 respectively

An equation is an expression that shows the relationship between two or more numbers and variables.

The slope intercept form of a line is:

y = mx + b

where m is the slope and b is the y intercept

Monique graph passes through (0, 0) and (2, -1). Hence:

y - 0 = [(-1 - 0)/(2 - 0)](x - 0)

y = (-1/2)x

Clarence graph passes through (0, 0) and (2, 1). Hence:

y - 0 = [(1 - 0)/(2 - 0)](x - 0)

y = (1/2)x

Jose graph passes through (0, 1) and (-2, -2). Hence:

y - 1 = [(-2 - 1)/(-2 - 0)](x - 0)

y = 1.5x + 1

Quincy graph passes through (0, -1) and (-2, 2). Hence:

y - (-1) = [(2 - (-1))/(-2 - 0)](x - 0)

y = -1.5x - 1

The equation Monique graph is y = (-1/2)x

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