Find distance and round decimal to the nearest tenth. Please help me

The correct choice is: If A is the given matrix then the augmented matrix presents the equation Ax = 0. The reduced echelon form of this matrix indicates that Ax = 0 has only the trivial solution. Therefore the columns of A do not form linearly independent set.

To determine if the columns of the matrix form a linearly independent set, we can perform row reduction on the matrix and examine the resulting reduced row echelon form.

The given matrix is:

[0  3  9]

[2 -7 -1]

[1 -4 -2]

[0  3   9]

[2 -7  -1]

[1 -4  -2]

R2 = R2 - 2R1

R3 = R3 - R1

[0  3   9]

[2 -7  -1]

[1 -4  -2]

R2 = R2 + 7/3 R3

[0  3   9]

[2  0  20/3]

[1 -4  -2]

R1 = R1 - 3/2 R2

R3 = R3 + 4R2

[0  3   0]

[2  0  20/3]

[1  0  2/3]

R1 = R1 / 3

R2 = R2 / 2

R3 = R3 / 3

[0  1   0]

[1  0  10/9]

[1  0  2/9]

The resulting reduced row echelon form shows that the third column is a linear combination of the first and second columns. Specifically, column 3 can be expressed as:

(2/9)*column 1 + (10/9)*column 2 = column 3

Since the third column can be expressed as a linear combination of the first and second columns, the columns of the matrix do not form a linearly independent set.

Therefore, the correct choice is:

If A is the given matrix then the augmented matrix presents the equation Ax = 0. The reduced echelon form of this matrix indicates that Ax = 0 has only the trivial solution. Therefore the columns of A do not form linearly independent set.

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Answer:

B

Step-by-step explanation:

Rate of change states

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

They are asking from day 2 to day 5, making 2 and 5 our x1 and x2.

On the table, the number below 2 is 0.75. The number below 5 is 2.5. We can use these as y1 and y2.

Now we can plug it in

[tex] \frac{2.5 - 0.75}{5 - 2} = \frac{1.75}{3} = .58 = 0.6[/tex]

0.6 because it asks for approximate

Answer:

WX = 18

Step-by-step explanation:

given Δ V'W'X'  is [tex]\frac{2}{3}[/tex] of Δ VWX , then the sides of Δ VWX are [tex]\frac{3}{2}[/tex] of Δ V'W'X'

WX = [tex]\frac{3}{2}[/tex] × W'X' = [tex]\frac{3}{2}[/tex] × 12 = 3 × 6 = 18

The plane travels 2500 miles in 5 hours. The solution has been obtained by using unitary method.

What is the unitary method?

Using the unitary technique, the value of each individual unit is first calculated, and then the value of the necessary number of units is determined.

We are given that an airplane travels 125 miles in 1/4 hour. It travels the same number of miles each hour.

Using unitary method,

The miles traveled in 1 hour = 125 * 4 = 500 miles

So, the miles traveled in 5 hours = 500 * 5 = 2500 miles

Hence, the plane travels 2500 miles in 5 hours.

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Question:  An airplane travels 125 miles in 1/4 hour. It travels the same number of miles each hour. How many miles does the plane travel in 5 hours?

Using the recursive formula we will see that:

f(2) = 5

Here we have a sequence such that we know that:

f(0) = 2

And the recursive formula is:

f(n + 1) = -2*f(n) + 3

So, first let's find f(1), to get that we use n = 0.

f(1) = -2*f(0) + 3

    = -2*2 + 3 = -4 + 3 = -1

And the next term is:

f(2) = -2*f(1) + 3

     = -2*-1 + 3

    = 2 + 3 = 5

Then the correct option is the third one.

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No, not all isosceles triangles are always similar. Two triangles are considered similar if their corresponding angles are congruent and their corresponding sides are in proportion. While all equilateral triangles are also isosceles triangles, not all isosceles triangles have congruent angles and proportional sides.

Any triangle with any two sides that have the same length is known as an isosceles triangle. An isosceles triangle has two equal-sized angles that are opposite from one other and have equal sides. Triangles are three-sided polygons in geometry that can be divided into three groups based on their sides, such as:

For example, consider an isosceles triangle with base angles of 70 degrees and a third angle of 40 degrees, and another isosceles triangle with base angles of 80 degrees and a third angle of 20 degrees. These triangles have different angles and are therefore not similar, even though they are both isosceles triangles.

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Furthermore, Tokyo Metropolis had the highest population density among Japan's prefectures, with 6,402.6 people per square kilometer. This one was nearly 18.9 times greater than that of the state median (338.2 persons per square kilometer). In 2020, Japan had 12 cities with an inhabitants of one thousand or maybe more.

What is the world's biggest and densetly populated Japanese island?

It is home to approximately 104 million people (2010), or more than 80% of the Japanese population. Honshu is the most highly populated island (429 people per km2) along with the most economically prosperous nation on the island.

Which two towns are situated in Japan's most densely populated areas?

Osaka, Kobe, and Kyoto make up Japan's most highly populated region, with each capital of a prefecture. This region is commonly referred to as the Kansai region.

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Using distributive property, the expression 55x+5 can be written as 5(11x+1).

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

Expression           Property         Equivalent expression

3(2+x)                 Distributive                  6+3x

2+(3+4)              Associative                  (2+3)+4

24x+18y             Distributive                 8(3x+y)

4x+5x                Commutative              5x+4x

5+2+3               Commutative               3+2+5

(5x.3y).2           Associative                  5x.(3y.2)

12-3x                Distributive                   3(4-x)

6+3                  Commutative                 3+6

(2x.3y).5z         Associative                  2x(3y.5z)

4(5-2y)             Distributive                   20-8y

y+0                  Identity                             y

a.b                  Commutative                   b.a

3x.1                  Identity                            3x

(a+b)+c           Associative                   a+(b+c)

55x+5            Distributive                   5(11x+1)

8(y-2)             Distributive                    8y-16

2x+5y             Commutative                5y+2x

Therefore, using distributive property, the expression 55x+5 can be written as 5(11x+1).

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Answer:

  -5(g -3h +5)

Step-by-step explanation:

You want the factored form of -5g +15h -25.

The coefficient of g inside parentheses is 1, so the coefficient of g in the given expression (-5) must be the factor outside parentheses. You can divide the expression by this value to find the desired numbers:

  [tex]-5g+15h-25=-5\left(\dfrac{-5g+15h-25}{-5}\right)=-5\left(\dfrac{-5}{-5}g+\dfrac{15}{-5}h+\dfrac{-25}{-5}\right)\\\\=\boxed{-5(g-3h+5)}[/tex]

The height difference in the dispenser before and after the use of the dispenser is found to be 8cm.

The shape of the dispenser is 5652 cubic centimeters and it is full of the liquid soap. The radius of the dispenser is given to be 7.5 centimeter.

Now, after using, the dispenser is left with 4239 cubic centimeters.

Now, we know the volume of the cylinder is given to be,

V = πR²H

R is radius and H is the height.

When the dispenser is full,

5652 = 3.14(7.5)²H

H = 32 cm.

Now, after the use let us say that the height is h,

4239 = 3.14(7.5)²h

h = 24cm.

Now, the height difference is H-h.

= 32-24

= 8 cm.

So, the height difference is 8 cm in the dispenser.

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The example of histogram is dataset of exam scores of 100 students, with scores ranging from 50 to 100

A histogram is a graphical representation of the distribution of a dataset. It is a way to visualize the frequency distribution of a set of continuous or discrete data. Here's an example of a histogram:

Suppose we have a dataset of exam scores of 100 students, with scores ranging from 50 to 100. We can create a histogram to visualize the distribution of scores. The histogram will have a vertical axis representing the frequency of scores and a horizontal axis representing the range of scores. We can divide the horizontal axis into equal intervals, called bins, and count the number of scores falling into each bin.

The histogram is shown in the figure

In this example, the histogram shows that most students scored between 70 and 80, with a few students scoring below 60 and above 90.

The histogram also shows that the distribution of scores is roughly symmetrical, with no outliers.

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Yes, the tangent constraint can be applied between a line and an arc in many CAD (Computer-Aided Design) software programs.

In CAD, a tangent constraint is a geometric constraint that forces two entities (lines, arcs, circles, etc.) to share a common tangent at their point of contact. When you apply a tangent constraint between a line and an arc, the software will ensure that the line and the arc are always tangent to each other at their point of intersection.

This constraint is useful for designing mechanical components, such as gears or cams, where you need to ensure that the contact between two parts is smooth and continuous. It is also commonly used in architecture, where a building's curved surfaces may need to be tangent to adjacent straight lines or walls.

In short, the tangent constraint can be applied between a line and an arc, and it is a useful tool in many different fields of design.

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Answer:

Step-by-step explanation:

as the driver makes 12 delivery in 3 hrs so the driver makes 12/3 delivery in 1 hr that is 4 delivery in 1 hour so he makes 5*4= 20 delivery in 5 hours

A heart-shaped mathematical curve is a cardioid (picture is attached below).

In the mathematical branch of geometry, we can use certain equations, etc. to create a heart-shaped mathematical curve which is called a cardioid. Its name has been derived from the greek word kardiá which literally translates to heart.

It can be described as a plane curve that is drawn by a point on the perimeter of a circle and this circle is rolling around a fixed circle that has a similar radius. It is also described as an epicycloid having a single cusp. The equation (a+x)^(a-x) can be used to make a cardioid.

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Answer:

The correct graph is D

Percentage

48.21% approximately 50%

We got the answer by dividing the number of adults that read electronic books by the total adults

27/56 = 0.4821

we then multiply by 100 to get the percentage of needed. this gives us a decimal

48.21

which when rounded off to the nearest tenth is 50%

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Answer:

The zeros of the polynomial are -3 and 2

Step-by-step explanation:

The zeros are where the polynomial crosses the x-axis

Answer:

required perimeter is 12.57mm

The value of measuring mass 145 kilograms to pounds after conversion as per standard measurements  is equal to kilograms  319.7 pounds ( round off to one decimal )

Kilograms and pounds are related in standard form as given below :

1 kilograms = 2.20462 pounds ___(1)

Substitute the value 145 kilograms in (1) for the conversion into pounds form we have :

⇒ (  145 ) kilograms = ( 145 multiply to 2.20462 ) pounds

⇒ 145 kilograms = 319.67 pounds

Finally ,

145 kilograms = 319.7 pounds ( round off to one decimal )

Therefore, after conversion the given unit of mass kilograms into pounds is  145 kilograms = 319.7 pounds ( round off to one decimal ).

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The critical value, zα/2, that corresponds to a 87% confidence level is approximately 1.514.

The critical value, zα/2, is the z-score that cuts off an area of α/2 in the tails of the standard normal distribution. In other words, it represents the number of standard deviations away from the mean that corresponds to a particular level of confidence.

To find the critical value for a 87% confidence level, we first need to determine the area that is left in the tails of the distribution. Since the confidence level is 87%, the area in the middle of the distribution is (1 - 0.87) = 0.13. We then divide this area in half to get the area in each tail, which is 0.065.

Using a standard normal distribution table or a calculator, we can find that the z-score that cuts off an area of 0.065 in one tail is approximately 1.514. Therefore, the critical value, zα/2, is:

zα/2 = ±1.514

However, since we want to find the z-score that corresponds to the middle 87% of the distribution, we need to add the absolute value of this number to the mean of the distribution, which is 0. This gives us:

zα/2 = |1.514| = 1.514

Therefore, the critical value, zα/2, that corresponds to a 87% confidence level is approximately 1.514

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--The question is incomplete, answering to the question below--

"Find the critical value, zα/2 that corresponds to the given confidence level 87​%"

The area of the circle is  113.04 square units.

The area of a circle of radius R is given by:

A = π*R²

Where π = 3.14

Here we know that the center is at (2, 2) and the point (8, 2) is on the circle, then the radius is:

R = √( (2 - 2)² + (8 - 2)²)

R = 6

Then the area of the circle is:

A = 3.14*(6)² = 113.04 square units.

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There are 20 ways to choose 2 letters from the set A, B, C, D, and E if the order of the choices is relevant

If the order of the choices is relevant, we are looking for the number of permutations of 2 letters chosen from a set of 5 letters. We can use the permutation formula to calculate this:

nPr = n! / (n - r)!

where n is the total number of items in the set (5 letters in this case), and r is the number of items we want to choose (2 letters in this case).

nPr = 5! / (5 - 2)!

nPr = 5! / 3!

nPr = 5 x 4 x 3 x 2 x 1 / (3 x 2 x 1)

Divide the numbers

nPr = 20

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Answer: I’m pretty sure it’s c

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠1+∠2= 25+52=77° ⇒ 1

∠4=180-103=77

∴∠4=∠1+∠2

The values are 45, 4.5, 0.45, and 0.045.

Numbers are representations of quantity or quality.

We have many types of numbers such as,

- Decimal numbers

- Real numbers

- Rational numbers

- Irrational numbers

- Complex numbers

- Even numbers

- Odd numbers

- Whole numbers

We have,

We need to multiply the numbers without using a calculator.

The steps to multiply two decimal numbers without using a calculator.

Step 1:

Ignore the decimal points and multiply the two numbers as if they were whole numbers.

Step 2:

Count the total number of digits to the right of the decimal points in both numbers.

Step 3:

Add the number of digits from step 2, and place the decimal point in the product so that it has that many digits to the right.

Now,

3 x 15 =45

0.3 x 15 = 4.5

3 x 0.015 = 0.045

0.03 x 15 = 0.45

3 x 1.5 = 4.5

3 x 0.15 = 0.45

0.3 x 1.5 = 0.45

0.3 x 0.15 = 0.045

Thus,

The values are 45, 4.5, 0.45, and 0.045.

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The complete question.

Multiply the two decimal numbers without using a calculator,

3 x 15

0.3 x 15

3 x 0.015

0.03 x 15

3 x 1.5

3 x 0.15

0.3 x 1.5

0.3 x 0.15

If the triangles ΔABC≅ΔDEF then the congruent to side BA is ED.

The dimensions of the sides and angles of two or more triangles determine whether they are congruent. A triangle's size and shape are determined by its three sides and three angles, respectively. If pairs of corresponding sides and corresponding angles are equal, two triangles are said to be congruent. They are the exact same size and form. Triangles can satisfy a wide variety of congruence requirements.

From the ΔABC ≅ ΔDEF we observe that the corresponding segment to BA in triangle DEF is ED.

Hence, if the triangles ΔABC≅ΔDEF then the congruent to side BA is ED.

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The conversion of 26 Celsius to Fahrenheit is 78.8.

Celsius and Fahrenheit are two scales used to measure temperature.

Celsius, also known as the centigrade scale, is a temperature scale where the freezing point of water is 0 degrees Celsius and the boiling point of water is 100 degrees Celsius at standard atmospheric pressure.

To convert Celsius to Fahrenheit, you can use the following formula:

°F = (°C x 9/5) + 32

where °C is the temperature in Celsius and °F is the temperature in Fahrenheit.

Substituting the value of 26 °C in the formula, we get:

°F = (26 x 9/5) + 32

°F = (46.8) + 32

°F = 78.8

Therefore, 26°C is equivalent to 78.8°F in Fahrenheit.

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Correct Question :

What is the conversion of 26 Celsius to Fahrenheit ?

the population will be 2 678

Answer: 64juu5

Step-by-step explanation:

your gay