prove that a group of order 63 must have an element of order 3

3 is the scale factor that was changed from the previous scale to the new scale.

What is  the scale factor?

The scale factor is a way to compare figures that appear to be similar but actually have distinct scales or measurements. Let's say two circles have similar appearances but different radii. A figure's scale factor indicates how much larger or smaller it is than the original figure.

What is the change in the scale factor?

A scale drawing is a condensed representation of an original image, structure, or object in terms of dimensions. The scale drawing is typically shrunk at a fixed dimension.

The change in the scale factor = larger scale / smaller scale

3.3 / 1.1 = 3

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Answer: 3

Step-by-step explanation:

The end behavior of the given function (range) is x< 4 or x > 4. So, f(x) < 4 or f(x) > 4. The solution in interval notation is [tex]\mathbf{(-\infty, 4) \cup (4, \infty)}[/tex].

The last option is correct.

The end behavior of the given function f(x) = (8x+1)/2x-9 wants us to identify the range of the given function.

The range is the set of values of the dependent variable for which a function is defined. The function range is the combined domain of the inverse function.

From the information given:

[tex]\mathbf{f(x) = \dfrac{8x +1}{2x -9 }}[/tex]

Inverse of [tex]\mathbf{\dfrac{8x +1}{2x -9 }}[/tex] becomes [tex]\mathbf{f(x) = \dfrac{1+9x}{2(-4+x) }}[/tex]

The domain of the inverse is x< 4 or x > 4. So, f(x) < 4 or f(x) > 4. Now, representing the solution in interval notation, we have:

[tex]\mathbf{(-\infty, 4) \cup (4, \infty)}[/tex]

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The ordered pair (10,63) is a solution to the inequality y < -0.2x² + 9x - 7. This illustrates that the statement is true.

It should be noted that an inequality simply means a statement of an order relationship between two numbers and algebraic expressions.

From the information given, the equation illustrated is:

y < -0.2x² + 9x - 7.

63 < 0.2(10)² + (9 × 10) - 7

63 < 20 + 90 - 7.

63 < 103

In this case, the ordered pair (10,63) is a solution to the inequality y < -0.2x² + 9x - 7. This illustrates that the statement is true since sixty there is less than one hundred and three.

Therefore, this is true.

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Complete question:

The ordered pair (10,63) is a solution to the inequality y < -0.2x² + 9x - 7. Please select the best answer from the choices provided

True

False

Answer:

D

Step-by-step explanation:

When a function is being shifted to the left, all x values will be added by y units shifted. (The constant that comes with x is excluded, eg. 3x shifted by 2 units left, becomes 3(x+2) and not 3x+2.)

Likewise, when a function is being shifted to the right, all x values will be subtracted by y units shifted. (Constant rules applies as well.)

Given f(x) is shifted 3 units right,

the new function, g(x) becomes:

[tex] g(x) = {(x - 3)}^{2} + 5(x - 3) - 1[/tex]

Therefore the answer is D in this case.

The length of each part of a the line segment is 1.6 cm if a line segment of length 6.4 cm and divided it in to 4 equal parts

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

The line segment has a length of 6.4 cm. Hence:

Dividing into 4 equal parts = 6.4 / 4 = 1.6 cm

The length of each part of a the line segment is 1.6 cm if a line segment of length 6.4 cm and divided it in to 4 equal parts

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The minimum red blood cells count that can be in the top 28% of accounts is 5.61%.

Red blood cells, also called crimson cells, purple blood corpuscles, haematids, erythroid cells, or erythrocytes, are the maximum common type of blood cells and the vertebrate's primary approach of delivering oxygen to the body tissues thru blood drift thru the circulatory device.

A low RBC depends, also called anemia, can have an effect on the frame's capability to transport oxygen and vitamins around the cardiovascular machine. it may reason fatigue, dizziness, and heart palpitations. The maximum not unusual form of anemia is iron deficiency anemia. this can result from blood loss, malnutrition, or kidney problems.

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Answer:

B

hope this helps :)

Answer:

D

Step-by-step explanation:

to find the zeros, equate f(x) to zero, that is

(x - 7)(x + 8) = 0

equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 8 = 0 ⇒ x = - 8

Considering the definition of an inequality, the number of friends admitted must be less than or equal to 8, expressed as p ≤ 8

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

In this case, you know that:

Being "p" the maximum number of people who can go to the amusement park, the inequality that expresses the previous relationship is

39.25 p + 11 ≤ 325

Solving:

39.25 p ≤ 325 -11

39.25 p ≤ 314

p ≤ 314÷ 39.25

p ≤ 8

Finally, the number of friends admitted must be less than or equal to 8, expressed as p ≤ 8

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Answer:

- 2n + 6

Step-by-step explanation:

note that + (-) = -

5n + 6 + (- 7n)

= 5n + 6 - 7n ← collect like terms

= 5n - 7n + 6

= - 2n + 6

The distance that you run around the track in gym class is considered continuous data.

The variable is given as:

Distance

The distance travelled can take any value between 0 and the length of the track.

Take for instance;

The distance travelled can be 1km and it can also be 1.67 km

This means that the distance is continuous

Hence, the statement that completes the blank is (c) continuous

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Answer:

Please see attachment.

Step-by-step explanation:

Remember, the 1/4x is the slope, and the -4 is the y-intercept.

Please see attachment for the graph.

Hope this helps!

Answer: MULTIPLYING THE EXPONENTS!!!

Step-by-step explanation:

Mark me brainliest

Check the picture below.

we could also look at it from the inscribed angle theorem, bearing in mind that the intercepted arc is 180°.

Answer:

Below in BOLD.

Step-by-step explanation:

5x^2 - 6x - 2 = 0

Quadratic formula for ax^2 + bx + c = 0  is

x =  [-b ± √(b^2 - 4ac)]/ 2a    

Here we have a = 5, b = -6 and c = -2

so x =  [-(-6)  ± √((-6)^2 - 4*5*-2)]/ 2*5

=  [ 6 ± √(36 + 40)] / 10

= 0.6 ±  √76 / 10

= 0.6 ±  0.8718

= 1.4718,  -0.2718

= 1.5, -0.3 to one decimal place.

x^2 + 3x = 40

x^2 + 3x - 40 = 0

We can factor this one:

(x - 5)(x + 8) = 0

x - 5 = 0 giving x = 5 and

x + 8 = 0 giving x = -8.

Answer  x = -8, 5.

Answer:

Both expressions should be evaluated by substituting with one value for x. If the final values of the expressions are the same, then the two expressions must be equivalent.

Step-by-step explanation:

x = 1

4x - (x + 5) = 4 - 6 = -2

8 - 3x - 3 = 8 - 3 - 3 = 2

The values of a and b will be -2 and 22 while the other factor in the function is x - 3/2.

The function is given as:

f(x) = ax³ - x² + bx - 24.

Since (x - 2) and (x - 4) are the factors, they will give functions of 8a + 2b = 28 and -16a - b = 10.

This will be solved by elimination method and the values of a and b will be -2 and 22.

Therefore, f(x) = -2x³ - x² + 22x - 24

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120Rs is spend in 6 days on these things and distributive property is used

Properties of whole numbers are defined to operate basic arithmetic operations such as addition and multiplication, in an easy way. Applying these properties helps us to solve such math problems quickly, without even using calculators. These properties are almost similar to the properties of integers, although the definition for whole numbers and integers are different.

Total cost of a single day= 15 + 5 = 20Rs

∴ In 6 days total cost = 20 x 6 = 120Rs

Thus 120Rs is spend in 6 days on these things and distributive property is used.

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Answer:

A). 0

Step-by-step explanation:

If you look at the graph, you can see that the only time it passes through the X- Axis is at (0, -20). Therefore, the solution to y=g(x) where g is negative, would be 0.

The size of the monitor as measured by the diagonal to the nearest whole inch, 17 inch.

A number's square root is a quantity that, when multiplied by itself, yields the original quantity. There are two ways to calculate the square root of a number: method of prime factorization and division strategy.

For example, both 3 and –3 are square roots of 9

The length of the diagonal of his laptop monitor is squared root of 290

Let 'D' be the diagonal of the monitor.

The,

Diagonal = √290

Use long division method to solve the value,(attached in the file)

√290 = 17.029

          = 17.03

Therefore, the value of √290 rounds to the nearest whole inch is 17 inch.

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The correct question is -

Carlos found that the length of the diagonal of his laptop monitor is squared root of 290. If the manufacturer rounds to the nearest whole inch, what size is the monitor as measured by the diagonal? 12 17 97 245

The linear regression method seeks to predict values of a(n) dependent variable based on values of a(n)  independent variable.

According to the statement

we have to explain the linear regression method and explain the way by which this method is used to predict the values.

So, For this purpose we know that the

Linear regression is the most basic and commonly used predictive analysis. Regression estimates are used to describe data and to explain the relationship.

And

Linear regression analysis is used to predict the value of a variable based on the value of another variable. The variable you want to predict is called the dependent variable. The variable you are using to predict the other variable's value is called the independent variable.

from these definitions it is clear that the there is a presence of two types of variables which are dependent and independent variables.

So, The linear regression method seeks to predict values of a(n) dependent variable based on values of a(n)  independent variable.

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The range of f(x) = 6x – 2 is [16,46]

According to the statement

we have given the function f(x) = 6x – 2 and the given interval is 3 < x ≤ 8

we know that to find the range of function we have to fill the values in it and then find the range of this function.

So, range is basically a difference between the lowest and the highest value.

Here the given function is f(x) = 6x – 2

when f(3) then

f(3) = 18-2

f(3) = 16.

and when f(8) then

f(8) = 48-2

f(8) = 46.

after put the values we seen that the range of this function is 16,46.

So, The range of f(x) = 6x – 2 is [16,46]

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Answer is :

Step-by-step explanation:

Given function

[tex]\sf f(x) = 6x - 2 [/tex]

We need to the find the range of the function over the interval of 3 < x ≤ 8

When, x is 3

Put x = 3 in the given function,

[tex]\sf f(3) = 6(3) +2 [/tex]

[tex]\sf f(3) = 18 - 2 [/tex]

[tex]\sf f(3) = 16 [/tex]

when, x is 8

Put x in the given function,

[tex]\sf f(8) = 6(8) -2 [/tex]

[tex]\sf f(8) = 48 - 2 [/tex]

[tex]\sf f(8) = 46 [/tex]

Hence range of the function f(x) = 6x – 2 is 16 and 46.

Answer:

X = 12

<B = 45°

Explanation:

From the diagram above:

Alternate exterior angles are equal. Therefore,

[tex]5x - 15 = 2x + 21 \\ collecting \: liketerms \\ 5x - 2x = 21 \: + 15 \\ 3x = 36 \\ dividing \: bothsides \: by \: 3 \\ \frac{3x}{3} = \frac{36}{3} \\ x = 12 [/tex]

For the measure of angle B

2x + 21°

2(12) + 21 = 24 + 21 = 45

Measure of angle B = 45°

Based on the given parameters, the midpoint of the line segment is (5, 1/2)

The complete question is added as an attachment

From the figure, we have the following coordinates

(5, 4) and (5, -3)

The midpoint of the segment is then calculated using

(x, y) = 0.5 * (x1 + x2, y1 + y2)

Substitute the known values in the above equation

(x, y) = 0.5 * (5 + 5, 4 - 3)

Evaluate the sum and the difference

(x, y) = 0.5 * (10, 1)

Evaluate the product

(x, y) = (5, 1/2)

Hence, the midpoint of the line segment is (5, 1/2)

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Answer:

B. 82

Step-by-step explanation:

I hope it helps you :)

The value of z in the given figure of circle with two lines dividing it into segments is 100.

We are given that the measures of angles ∠1 and ∠2 are 105° and 120°, respectively.

Step 1: Since the interior angles of a triangle add up to 180°, we know that the measure of ∠3 is 180° - 105° - 120° = 55°.

Step 2: Since ∠3 and ∠z are supplementary angles, we know that m∠3 + m∠z = 180°.

Step 3: Substituting the measures of ∠3 from step 1 into step 2, we get 55° + m∠z = 180°.

Step 4: Subtracting 55° from both sides of the equation in step 3, we get m∠z = 180° - 55° = 125°.

Step 5: Since m∠z = 125°, then z = 125°.

Therefore, the value of z is 100.

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Question 4

[tex]\sin 30^{\circ}=\frac{y}{14\sqrt{3}}\\\\\frac{1}{2}=\frac{y}{14\sqrt{3}}\\\\\boxed{y=7\sqrt{3}}\\\\\\\\\cos 30^{\circ}=\frac{x}{14\sqrt{3}}\\\\\frac{\sqrt{3}}{2}=\frac{x}{14\sqrt{3}}\\\\\boxed{x=21}[/tex]

Question 5

[tex]\cos 45^{\circ}=\frac{x}{28}\\\\\frac{1}{\sqrt{2}}=\frac{x}{28}\\\\x=\frac{28}{\sqrt{2}}\\\\\boxed{x=14\sqrt{2}}\\\\\\\\\sin 45^{\circ}=\frac{y}{28}\\\\\frac{1}{\sqrt{2}}=\frac{y}{28}\\\\y=\frac{28}{\sqrt{2}}\\\\\boxed{y=14\sqrt{2}}[/tex]

Answer:

No real roots

[tex]x = -2 + 4i, x = -2 - 4i[/tex]

Step-by-step explanation:

Hello!

We can solve the quadratic by using the Quadratic Formula.

Standard form of a Quadratic: [tex]ax^2 + bx + c = 0[/tex]

Quadratic Equation: [tex]x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}[/tex]

Given our Equation: [tex]f(x) = x^2 + 4x + 20[/tex]

Set the equation to 0 and solve using the formula.

There are no real roots to the quadratic.

Answer:Yes, it is possible to have the sum of square roots equal the square root of the sum of the radicands.

If either a or b equals zero, then the sums would be the same.

Since the square root of 0 is 0, adding it to a given radical would not change the radical. Also, adding zero to the radicand would not change its value.

Step-by-step explanation:

The statement √a + √b = √(a + b) is not possible since a ≠ b

The operation involving surd is most likely an algebraic expression where in the case of surd the value in the square root are like the alphabets in algebraic expression.

Some surd operations are given as shown below:

Now, let us consider the question given:

Since a and b are not equal, it means

√a + √b ≠ √(a + b)

Thus, we can conclude that the statement √a + √b = √(a + b) is not possible

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Answer:

I'm sorry mate for helping for nothing but i just need more points to post my question. I am really sorry.

The image point of (4,-2) after the transformations given is; (2,1).

It follows from the task content that the point given is (4, -2) which first reflects over the y axis and hence, renders the new image to be; (4, 2) after which it undergoes a dilation of with dilation factor, 1/2 and hence, the image point is; (2,1).

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