In what ratio is the line joining the points (- 5 1 and 2 3?

Answer:

Below

Step-by-step explanation:

Due to the triangle side length rule, these two sides added together must be greater than the third side

so the third side could be     11   10   9      

         8 -7-6-5-4-3-2-1   will not work because 2 + these sidelengths do not sum to greater than  the third side 10

Yes, there is a correlation between these measures. The higher the placement exam score, the higher the student's score on their first exam tends to be. For example, students with placement exam scores of 11 and 49 had first exam scores of 27 and 71 respectively, indicating that the higher the placement exam score, the higher the first exam score.

A measure in mathematics is a generalization of the ideas of length, area, and volume. Measures are sometimes referred to as "mass distributions" informally. A measure, in more exact terms, is a function that gives numbers to particular subsets of a given set. This quantity is described as the set's measure.

To measure length or distance, this system employs inches, feet, yards, and miles. Volume or capacity are expressed in fluid ounces, cups, pints, quarts, or gallons. In ounces, pounds, and tons, weight or mass is expressed.

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When an adverb requires emphasis or wouldn't fit anyplace else in the sentence, an infinitive should be split. Split infinitive might occasionally help to clarify a sentence's meaning.

In the given question we have to explain, when we allow a split infinitive and why.

When an adverb requires emphasis or wouldn't fit anyplace else in the sentence, an infinitive should be split.

A split infinitive might occasionally help to clarify a sentence's meaning. It is not apparent if the requesting was done softly or whether the leaving should be done quietly in the sentences "I requested her gently to leave" or "I asked her to leave quietly."

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Answer:

3X-9=(6x6)/4

Step-by-step explanation:

The size of a matrix is ​​its dimension,

AB and BA are of size 4 x 4 and 2 x 2 respectively

Matrix A has dimension 4 x 2 and matrix B has dimension 2 x 4

Matrix:

In mathematics, a matrix (multiple matrices) is a rectangular array or table of numbers, symbols, or formulas, arranged in rows and columns, used to represent mathematical objects or properties of such objects .

Product of Matrix:

Multiplication of two matrices is defined only if the number of columns in the left matrix equals the number of rows in the right matrix. If A is an m-by-n matrix and B is an n-by-p matrix, then its matrix product AB is an m-by-p matrix whose entries correspond to the corresponding rows of A in the matrices.

A column of B whenever a product of different sizes is such that it is defined.  The product AB can be defined without BA being defined. That is, if A and B are m-by-n and n-by-k matrices, respectively, and m ≠ k. In general, even if both products are defined, they need not be the same. So, AB ≠ BA,

Product AB:

The dimensions of AB are the rows of matrix A multiplied by the columns of matrix B.

Matrix A has 4 rows and Matrix B has 4 columns.

Therefore, the dimension of the matrix AB is 4 x 4.

Product BA:

The dimensions of matrix BA are the rows of matrix B multiplied by the columns of matrix A.

Matrix B has 2 rows and Matrix A has 2 columns.

Therefore the dimension of the matrix BA is 2 x 2.

Therefore, the sizes of AB and BA are 4 x 4 and 2 x 2 respectively.

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After dilation, the shape of the image and preimage will be same, but the size will be different

The dilation is the one form of transformation, that will change the size of the original figure, but the shape of the figure remains same

Consider a triangle and dilating the triangle by a scale factor of 3

The scale factor 3 means the size of the original image will enlarge by three times of the original size .

Still the shape of the triangle will be same, but the size of the triangle changed according to the dilation

Therefore, size of the image will change, but the shape will not change

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Equation which is used to find the distance between the given points A and B for the given θ = 28° is equal to AB = x cos28°.

Diagram is attached.

As given in the question,

Diagram is attached.

Given angle θ = 28°

Hypotenuse = x

Two points A and B is on the base

Base - length = AB

In the given triangle,

Equation represents the distance between two points is:

cosθ = base / hypotenuse

⇒ cos 28° = AB / x

⇒ AB = x cos 28°

Therefore, the equation used to represent the distance between two point A and B is equal to AB = x cos28°.

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Answer:

Step-by-step explanation:

10% of $520 is $52, so that's what Oliver usually saves each week.

This week he earned 10% more, which is $52. $520 + $52 = $572

10% of $572 is $57.20

His pay minus his living expenses is $572 - 57.20

He has $514.80 to spend

Since 10% of $520 is $52 and that's what he usually saves, it looks like he just went with that instead of adding the $52 to the $520 and then deducting 10%

Answer:

C

Step-by-step explanation:

If they both ran a mile its the same thing I think

The general convention is to reject a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect. This is False.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

After a performing a test, scientists can reject the null hypothesis meaning there is a definite, consequential relationship between the two phenomena

In this case, the convention is to accept a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect.

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Answer:

90%

Step-by-step explanation:

Do 18 divided by 20 you get 0.9 which equals 90% since the 9 is in the tens place.

Synonym for the word split is given by many words like tear, to break apart,  bisect or divide it into parts and so.

Explanation:

Synonym of the given word split is given by:

Many words represents the synonym of the word split.

Therefore, the synonym of the given word split is given by cleave, tear, divide it into two equal parts.

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The equation of a line that passes through [tex](-1,3)[/tex] and has a slope [tex]2[/tex] is [tex]y=2x+5[/tex]

The equation of the line passes through the point is [tex](-1,3)[/tex]

One point and the slope are given, we will use one point form i.e.

[tex]y=mx+c.....(1)[/tex]

The point [tex](-1,3)[/tex] satisfies the equation and the slope is [tex]2[/tex]

Plug in these values in (1)

[tex]3=2(-1)+c\\3=-2+c\\c=3+2\\c=5[/tex]

Plug in the value of slope and c is

The equation becomes [tex]y=2x+5[/tex]

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the students that like music also like dance is 30%.

What is the percentage?

A percentage that represents a tenth of a quantity. One percent, denoted by the symbol 1%, is equal to one-hundredth of something; hence, 100 percent denotes the full thing, and 200 percent designates twice the amount specified. A portion per hundred is what the percentage denotes. The percentage refers to one in a hundred. The % sign is used to denote it.

40% of the students like music

12% of the students like music and dance.

p(A)=0.4

p(A∩B)=.12

p(A|B)= p(A∩B)/p(A)

=0.4/0.12= 0.3

Hence the students that like music also like dance is 30%.

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Answer:

Step-by-step explanation:

i think it is 74

The triangle's vertices will therefore be A'(4, 6), B'(0, 0), and C'(-2,4) if it is mirrored across the y-axis and then dilated by a scale factor of 2.

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller). For instance, we can increase the size of a rectangle with sides of 2 cm and 4 cm by multiplying each side by, let's say, 2.

Given

In line with the posed question.

Triangle ABC's vertices are A(-2, 3), B(0, 0), and C. (1, 2).

As we are aware,

The x-coordinates of each point must be negative while keeping the y-value constant in order to reflect a triangle over the y axis.

As a result, when triangle ABC is mirrored across the y-axis, its vertices are

A'(2,3)

B'(0, 0)

C'(-1, 2)

The vertices of the triangle will also change when it is dialated by a scale factor of 2.

A'(4, 6)

B'(0, 0)

And, C'(-2, 4)

The triangle's vertices will therefore be A'(4, 6), B'(0, 0), and C'(-2,4) if it is mirrored across the y-axis and then dilated by a scale factor of 2.

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Answer:

-30

Step-by-step explanation:

Your welcome.

The effort you put in while ascending the stairs is equal to the sum of the force you exerted (your weight) and the elevation you moved.

Which is: Work (in joules) is equal to your weight in newtons divided by the stairs' height in meters.

Your Body Weight It goes without saying that moving a heavy object up a flight of stairs takes more strength than moving a light object. However, you still need to push your body weight against gravity even if you don't carry anything. Therefore, the more weight you have, the more power you need to climb the stairs.

Student 1 would have a power of 467 W, while Student 2 would have a power of 433 W. The fourth option—student 1 would have a power of 467 W, while student 2 would have a power of 433 W—is the correct one.

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For example, if the given data set is {2, 3, 5, 8, 10, 3, 12, 6, 15}. Then the range will be 15 – 2 = 13.

In the given question, we have to find an example of range.

As we know that;

The group of all possible dependent values that a function or relation can produce from its domain values is known as its range. It consists of every potential output.

The difference between both the highest and lowest numbers in a collection or set is known as the range.

For example, if the given data set is {2, 3, 5, 8, 10, 3, 12, 6, 15}

The largest number of the given set is 15.

The smallest number of the given set is 2.

Then the range will be 15 – 2 = 13.

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The measure of this angle is 172°.

Circumference: Any shape's circumference establishes the path or boundary that encircles it. To put it another way, the circumference and perimeter both refer to the length of a shape's outline.

When two of its rays pass through the endpoints of an arc, line segment, or other section of a curve, the angle is subtended by that arc, line segment, or other section of the curve.

From the information provided.

The circle's 1/360th circumference measures 0.5 cm in length.

Total circumference of circle now will be

360*0.5cm

= 180cm

However, if a 360° angle is equivalent to a circumference of 180 cm;

Then, an angle that subtends with 86 cm long will be:

=(86/180)*360

=172°.

Therefore, the measure of this angle is 172°

Given Question is incomplete complete question here

A circle is centered at the vertex of an angle, and the angle's rays subtend an arc that is 86 cm long. 1/360th of the circumference of the circle is 0.5 cm long. What is the measure of this angle in degrees?

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Answer: The original price is 200$

Step-by-step explanation:

original price = 100 percent

100-64=36

36% =72

100%= x

use cross multiply

36x=100*72

36x=7200

x=200

The original price is 200$

Answer:$200

Step-by-step explanation:

$72 is 100-64 or 36% if the original price.

First, we convert the percentage into a decimal number.

So, 0.36.
Next we divide that by $72

The answer is $200

The system of inequalities that represents the possible dimensions of the pen is given as follows:

The graph of the system is given by the image given at the end of the answer.

The first step in building the system of inequalities is identifying the variables, which are given as follows:

The length of the fence should be at least 60 ft, hence:

x ≥ 60.

The distance around should be no more than 260 ft, hence, considering the perimeter of the fence:

2x + 2y ≤ 260

x + y ≤ 130.

The dimensions cannot be negative, hence another restriction needed is:

y > 0.

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True, Every normal unitary operator u: x! x exists.
False, An if only if it is invertible, a matrix qualifies as unitary.

What is the matrix?

A group of numbers built up in a rectangular array with rows and columns. The elements, or entries, of the matrix, are the integers. In addition to numerous mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics.

Here, we have

a. Every unitary operator U:X→X is normal as an operator A is unitary if A*A = AA* = I and an operator is normal if A*A = AA*.

Hence, every unitary operator u: x → x is normal.

b. A unitary matrix is always invertible but an invertible matrix need not be unitary. An invertible matrix A is unitary if A⁻¹ = A*

Hence, it is not true.

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The function are Linear that would best model Monica's and Shanna's total savings.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Monica and Shanna are saving the money they earn from their after-school jobs to go on a school trip.

Here, Monica starts with $20 and then saves $14 each week. Shanna's savings are shown in the table.

Hence, The function for Monica is,

⇒ y = 20 + 14x

Where, x is number of weeks and y is total cost.

And, For Shanna's;

The equation is find as;

Two points from table are (0, 0) and (1, 18)

Hence, The equation is,

⇒ y - 0 = (18 - 0) / (1 - 0) (x - 0)

⇒ y = 18x

Thus, Both function for best model Monica's and Shanna's total savings is Linear function.

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B. Due to the fact that ABCD has at least two parallel sides in one pair.

The y-coordinates of the two points A(-3, 1) and D(5, 1) are identical.

Then

The x-axis and the line AD are parallel.

As opposed to that,

The y-coordinates of the two points B(1,5) and C(5,5) are identical.

Then

The x-axis and the line BC are perpendiculars.

We discover:

• AD lies along the x-axis.

BC is perpendicular to the x-axis.

Therefore

AD / BC

Conclusion:

Due to the fact that ABCD contains at least two parallel sides in one pair.

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The width, length and height of the box is 12.247 inch, 24.494 inch, 73.482 inch respectively.

We have given that Alina wants to make a rectangular box whose base is twice as long as it's wide and alina has 300 square inches of velvet.

i.e A = l × w

it s given that l = 2w

∴ A = 2w²

⇒ 300 = 2w²

      w² = 150

       w = 12.247 inch

i.e. l = 2w

     l = 2(12.247)

     l = 24.494 inch

Therefore length of the box is 24.494 inch and width is 12.247 inch.

Now we have to find height of the box.

For the height of rectangle we know the formula

i,e, Height = [tex]\frac{P}{2}[/tex] - w

where P is perimeter

we will first find perimeter of rectangle.

Therefore P = 2(l + w)

                 P = 2(24.494 + 12.247)

                 P = 2(36.741)

                 P = 73.482 inch

Hence the height of the rectangle is 73.482 inch.

Therefore the Eliza's box that Alina make has width 12.247 inch, length 24.494 inch and height 73.482 inch.

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Answer:

32, 16, 8, 4, 2, 1

Step-by-step explanation:

32, 16, 8, 4, 2, 1

Rule: Divide by 2 the previous number

∠1 ≅ ∠3 is congruent by AAA postulate where ∠1 and ∠2 form a linear pair and m∠2 + m∠3 = 180

If and only if two segments have equal amounts of each, they are congruent. If and only if all of the corresponding angles and sides are congruent, two triangles are said to be congruent.

Given,

∠1 and ∠2 form a linear pair

m∠2 + m∠3 = 180

Statements                     Reasons

∠1 and ∠2                            Linear pair

∠1 and ∠3                             Linear pair theorem

m∠2 and m∠3                     Given

∠3 and ∠2                           Definition of supplementary angle

∠1 ≅ ∠3                               AAA postulate

∠1 ≅ ∠3 is congruent by AAA postulate where ∠1 and ∠2 form a linear pair and m∠2 + m∠3 = 180

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Answer:

48 and 15/16

Step-by-step explanation:

49+1/8(-1/2)

49+(-1/16)

48 and 15/16

The required value of the expression is 3 when substituting the value of -1/2 for y.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The expression is given in the question as:

49 + 1/8y

To evaluate the expression, we need to substitute the value of -1/2 for y. Doing this gives us:

⇒ 49 + 1/8(-1/2)

⇒ 49 + (-1/16)

Simplifying the expression further gives us:

⇒ 49 - 1/16

⇒ (16 × 3 + 1 - 1)/16

⇒ 48/16

Apply the division operation, and we get

⇒ 3

Therefore, the final value of the expression is 3.

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