What is the meaning of "Subgroups with two generators"?

The solution of given inequalities are respectively,  c ≥ -4,  c ≥ 10, c ≥ -10,  c ≥ 4

Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.

We use these symbols to represent inequalities, '>' , '<', '≥', '≤'

Here are the solutions for each inequality:

1. c + 7 ≥ 3

Subtracting 7 from both sides, we get:

 c ≥ -4

2. c ≥ 10

Since 10 is greater than -4, the solution to this inequality is simply c ≥ 10.

3. c ≥ -10

Since -10 is less than -4, the solution to this inequality is simply c ≥ -10.

4. c ≥ 4

Since 4 is greater than -4, the solution to this inequality is simply c ≥ 4.

So, the solution to the system of inequalities is c ≥ 10. This means that c has to be 10 or greater in order for the inequalities to be true.

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The equation which represents Rob's debt  is -$15 + -$3 = -$18

Directed numbers, also known as integers, are numbers that have a direction or sign, either positive (+) or negative (-). They are used to represent quantities that have direction, such as temperature, height, weight, etc.

Rob borrows 15 dollars first

He later borrows 3 dollars.

Since we are to drag numbers to write an equation using NEGATIVE integers only,

We have -$15 + -$3 = -$18 which is Rob's debt

If numbers may be used more than once, the equation is

-$5 + -$3 + -$5 + -$2 + -$3 = -$18 which is Rob's debt.

Hence Rob owes his father $18. The debt is represented by the negative sign "-"

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Answer:

Step-by-step explanation:

number 2= 2 (rounded)

same thing for 1

Step-by-step explanation:

djhdjdndnsnxjjxnxjxjxjxkdjjfjfjfk

Complete Question

The complete question is shown on the first uploaded image

Answer:

The correct option is b

Step-by-step explanation:

The correct option  is  matched pair design the reason for this is because in the experiment individual(elements)  are group into pairs based on a characteristics that they have in common (in this question the characteristics being a twin) and then within each group the subject a placed on different treatment , in the case of this question each twin in each group are placed on different treatment (i.e one is given the mouthwash while the other is not ).

This process which I have explained is how a matched pair design is carried out

Answer:

One of the practical situation of geometric series is : A ball bouncing is an example of a finite geometric sequence. Each time the ball bounces it’s height gets cut down by half. If the ball’s first height is 4 feet, the next time it bounces it’s highest bounce will be at 2 feet, then 1, then 6 inches and so on, until the ball stops bouncing

Answer:

Geometric series are seen in practical situations, most notably in those involving geometric growth or decay. If a series of numbers are formed by percentages, then it can result in a geometric sequence. Ex. compound interest (see below).

Step-by-step explanation:

A geometric series is the result of adding the terms of a geometric sequence. These sequences have a common ratio, r, which is used to find missing terms. The common ratio is found with \(r=\frac{a_n}{a_{n-1}}\). For example, \(a_1(r)=a_2, \mbox{ and } a_2(r)=a_3... \mbox{ etc.}\)

Geometric sequences can be used to model practical situations, and such situation could involve geometric growth or decay.

A geometric sequence can be used to model compound interest. An example of this is \(A = P (1 + \frac{r}{100})^n\) where the common ratio, r, of the series is equal to 1 + r/100 in the compound interest formula above.

Hi! I'm happy to help!

To solve this problem, we have to find the slope, which is rise over run, or how much the line rises and how far forward the line goes.

We find the slope using this formula (slope formula)

m(slope)=\(\frac{y_{2}-y_{1} }{x_{2} -x_{1} }\)

This refers to the second y point minus the first y point, divided by the second x point minus the first x point. Y refers to the y axis, so that is the rise, because it is the difference of height in the line. X refers to the x axis, so that is the run, because it is the difference in how far it travels forward.

Our second y point is -2, our first y point is also -2. Our second x point is -2, and our first y point is 4. Let's plug in our values.

\(\frac{-2-(-2)}{-2-4}\)

Let's simplify this so there isn't a double negative.

\(\frac{-2+2}{-2-4}\)

Now, let's solve

\(\frac{0}{-6}\)

0 divided by -6, is still 0, so there is no slope or the slope is 0. This means that the line is horizontal and the y coordinate doesn't change.

I hope this was helpful, keep learning! :D

The possible perimeters are 140 feet, 148 feet and 160 feet.

In order to determine the width that would be used to determine the possible perimeters, the formula for the area would have to be rewritten.

A rectangle is a 2-dimensional quadrilateral with four right angles and two diagonals that bisect each other at right angles.

Area of a rectangle = length x width

Width = area / length

1200 / 40 = 30 feet

1200 / 50 = 24 feet

1200 / 60 = 20 feet

Perimeter of a rectangle = 2 x (length + width)

Perimeter when width is 30 feet : 2(40 + 30) = 140 feet

Perimeter when width is 24 feet : 2(24 + 50) = 148 feet

Perimeter when width is 20 feet : 2 (20 + 60) = 160 feet

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The expected number of transitions is 22p(1-p) when take into account n separate coin flips with a p percent chance of landing on heads.

Given that,

Take into account n separate coin flips with a p percent chance of landing on heads. Say a changeover happens any time an outcome diverges from the one that came before it. For instance, there are 3 changeovers if n=5 and the result is HHTHT.

We have to determine the anticipated number of transitions.

We know that,

Independent flips,

n =12

Probability of heads =p

Probability of tails =(1-p)

Let m=1,2,...n

If mth term may be head then (m+1)th outcome could be head or vice-versa.

Probability of change overs from mth to (m+1)th outcome =2p(1-p)

So, the  expected changeovers is given by

E[change overs] = (n-1) *2p(1-p)

= (12-1) × 2p(1-p)

=11 × 2p(1-p)

=22p(1-p)

Therefore, the expected number of transitions is 22p(1-p) when take into account n separate coin flips with a p percent chance of landing on heads.

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Currently, he only makes 1/3 of his kicks. ... A number cube is being used to simulate the result of Bo's kicks where the numbers 11 or 22

There must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

To prove the existence of a vertex u in tree T such that the distance between u and v is at most (n-1)/2, we can employ a contradiction argument. Assume that such a vertex u does not exist.

Since the number of vertices in T is odd, there must be at least one path from v to another vertex w such that the distance between v and w is greater than (n-1)/2.

Denote this path as P. Let x be the vertex on path P that is closest to v.

By assumption, the distance from x to v is greater than (n-1)/2. However, the remaining vertices on path P, excluding x, must have distances at least (n+1)/2 from v.

Therefore, the total number of vertices in T would be at least n + (n+1)/2 > n, which is a contradiction.

Hence, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

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Answer:

See attachment for what the graph looks like.

Step-by-step explanation:

When you graph these equations, convert 4x+8y=16 into slope-intercept form, which should be y= -1/2x+2.

In this case, 2 is the y-intercept, the part of the line that intercepts with the y-axis, with a negative (goes downward) slope of 1/2.

The line should intersect at (0,2) and have a slope of -1/2.

The x-intercept of the line is at 4 and the y-intercept of the line is at 2. Then the graph is sketched below.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

x/a + y/b = 1

Where 'a' is the x-intercept of the line and 'b' is the y-intercept of the line.

The equation of the line is given below.

4x + 8y = 16

Convert the general form of the line into an intercept form. Then we have

4x + 8y = 16

x/4 + y/2 = 1

The x-intercept of the line is at 4 and the y-intercept of the line is at 2. Then the graph is sketched below.

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Answer:

9

Step-by-step explanation:

3x^2 + 3x - 9

Substitute x = 2 into the equation.

3(2)^2 + 3(2) - 9

3(4) + 6 - 9

12 + 6 - 9

18 - 9 =

9

Answer:

The price of the items before the discount was $36.

Step-by-step explanation:

Since Emma has a loyalty card good for a 10% discount at her local pharmacy, to determine what her total in dollars and cents be, after the discount and before tax, if the total cost of all the items she wants to buy is $ 32.40, the following calculation must be made:

100 - 10 = 90

90 = 32.40

100 = X

100 x 32.40 / 90 = X

3240/90 = X

36 = X

Therefore, the price of the items before the discount was $ 36.

Answer:

m = 0.5, b = 2, greater than symbol >

Step-by-step explanation:

Slope:

We can find the slope value by choosing two points on our line (the two green dots are already chosen for us) and dividing the vertical distance between the points (this is called the rise) by the horizontal distance between the points (this is called the run)

Rise ÷ Run

1 ÷ 2 = 0.5

Y-Intercept:

The y-intercept is where the line cuts through the vertical y-axis. We can see that this is at y = 2

Inequality:

The area above the line is shaded in. This is to show that all values greater than the line are applicable, so we will use the greater than symbol, >

Answer:

a÷b

Step-by-step explanation:

quotient means divide

Step-by-step explanation:

g(x) = -X^2

which isn't an option.

Answer:

Step-by-step explanation:

You want the coordinates of the vertices of QRST after it has been translated right 2 units, then reflected across the y-axis. The original coordinates are Q(1, 5), R(3, -1), S(0, 0), T(-2, 3).

The problem statement is written as a composition of the transformations Ry and T(2,0). A composition of functions is generally executed right to left, meaning the translation will be done first, then the reflection.

The numbers in the translation vector are added to the coordinates:

  (x, y) ⇒ (x+2, y+0)

Reflection over the y-axis changes the sign of the x-coordinate:

  (x, y) ⇒ (-x, y)

Then the composition of transformations is ...

  (x, y) ⇒ (-(x+2), y)

  Q(1, 5) ⇒ Q'(-3, 5)

  R(3, -1) ⇒ R'(-5, -1)

  S(0, 0) ⇒ S'(-2, 0)

  T(-2, 3) ⇒ T'(0, 3)

Answer:

n = m - a

Step-by-step explanation:

a = m - n

add n to both sides of the equation

a + n = m - n + n

a + n = m

subtract a from both sides of the equation

a - a + n = m - a

n = m - a

Answer:

n = a - m

Step-by-step explanation:

a = m - n

a - m = n

After plotting the line of the best fit, the estimated values of a and b are

(30,1.15) and the equation is M = 30L ₊ 1.15

Given, the values of L and M are plotted on the graph.

Then the line of best fit is created on the graph.

A line that most accurately depicts the relationship between data points on a scatter plot is called the line of best fit.

When data points appear to be in a straight line, the line of greatest fit is a straight line.

Therefore, we get the point on the line as (30,1.15)

The equation representing the relation:

M = aL + b

(a,b) from the graph is (30,1.15)

substitute the estimated the values,

M = 30L + 1.15

Hence the required values are estimated and plotted on the graph.

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Answer:

why in kilometers? 87.3 km/h

1) Looking at the graph, locate point x=1 for f(1)

f(1) =4 since x=1, then y=4 according to that function

f(5) = -2 since x=5, then y=-2 according to that function

The vertex form of the quadratic equations in standard form are, respectively:

Case 9: y = 2 · (x + 2)² - 12

Case 10: y = - (1 / 2) · (x + 3 / 4)² + 33 / 32

Case 11: y = 3 · (x - 4 / 3)² - 16 / 3

Case 12: y = - 3 · (x - 3)²

Case 13: y = (x - 4)² + 3

Case 14: y = (x - 1)² - 7

Case 15: y = (x + 3 / 2)² - 9 / 4

Case 16: 2 · (x + 1 / 4)² - 1 / 8

Case 17: y = 2 · (x - 3)² - 7

Case 18: y = - 2 · (x + 1)² + 10

In this problem we find ten cases of quadratic equation in standard form, whose vertex form can be found by a combination of algebra properties known as completing the square. Completing the square consists in simplifying a part of the quadratic equation into a power of a binomial.

The two forms are introduced below:

Standard form

y = a · x² + b · x + c

Where a, b, c are real coefficients.

Vertex form

y - k = C · (x - h)²

Where:

Now we proceed to determine the vertex form of each quadratic equation:

Case 9

y = 2 · x² + 4 · x - 4

y = 2 · (x² + 2 · x - 2)

y = 2 · (x² + 2 · x + 4) - 12

y = 2 · (x + 2)² - 12

Case 10

y = - (1 / 2) · x² - 3 · x + 3

y = - (1 / 2) · [x² + (3 / 2) · x - 3 / 2]

y = - (1 / 2) · [x² + (3 / 2) · x + 9 / 16] + (1 / 2) · (33 / 16)

y = - (1 / 2) · (x + 3 / 4)² + 33 / 32

Case 11

y = 3 · x² - 8 · x

y = 3 · [x² - (8 / 3) · x]

y = 3 · [x² - (8 / 3) · x + 16 / 9] - 3 · (16 / 9)

y = 3 · (x - 4 / 3)² - 16 / 3

Case 12

y = - 3 · x² + 18 · x - 27

y = - 3 · (x² - 6 · x + 9)

y = - 3 · (x - 3)²

Case 13

y = x² - 8 · x + 19

y = (x² - 8 · x + 16) + 3

y = (x - 4)² + 3

Case 14

y = x² - 2 · x - 6

y = (x² - 2 · x + 1) - 7

y = (x - 1)² - 7

Case 15

y = x² + 3 · x

y = (x² + 3 · x + 9 / 4) - 9 / 4

y = (x + 3 / 2)² - 9 / 4

Case 16

y = 2 · x² + x

y = 2 · [x² + (1 / 2) · x]

y = 2 · [x² + (1 / 2) · x + 1 / 16] - 2 · (1 / 16)

y = 2 · (x + 1 / 4)² - 1 / 8

Case 17

y = 2 · x² - 12 · x + 11

y = 2 · (x² - 6 · x + 9) - 2 · (7 / 2)

y = 2 · (x - 3)² - 7

Case 18

y = - 2 · x² - 4 · x + 8

y = - 2 · (x² + 2 · x - 4)

y = - 2 · (x² + 2 · x + 1) + 2 · 5

y = - 2 · (x + 1)² + 10

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Answer:

49°

Step-by-step explanation:

since its a right angle that just subtract from 90

90-41= 49

Answer:

49

Step-by-step explanation:

Because of the square at O, we know that angle XOZ is a right angle and is 90°.

Since angle XOZ is made up of angle XOY and angle YOZ, we can subtract the measure of angle XOZ by the measure of angle XOY to find the measure of angle YOZ, which is equal to x.

x = 90 - 41

x = 49

Step-by-step explanation:

\((9\pi \frac{2}{2} )\div 3\pi \\ \)

\( \frac{9\pi}{3\pi} \\ \)

\(3\pi\)

3π is the answer

Answer:45%

Step-by-step explanation:

Answer:

99%

Step-by-step explanation:

25% of 132 is 33 so 132-33 is $99

Answer: 99

Step-by-step explanation:

turn 25% into a decimal which is .25 and multiply it by 132 to get 33. Thats how much 25% of 132 is so you subtract it to get how much it costs with the sale price.

Answer:

C

Step-by-step explanation:

64>x^3, plugging in x=3, we have 64>27 which is TRUE

Answer:

7

Step-by-step explanation:

divide your circumference by π or 3.14

The correct  equation is D. x2 + y2 + 6x − 24y + 148 = 0.

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.


This equation is the general form of a circle with center A and radius 5. The equation can be derived from the coordinates of the center A and the radius of the circle. The center of the circle is located at (-3, 12). To get the equation, first calculate the distance between the center A and a point on the circumference of the circle, which is the radius of the circle, 5. Then, use the Pythagorean theorem to calculate the equation of the circle: x2 + y2 + 6x – 24y + 148 = 0.
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