Show that every subgroup [tex]H \neq G[/tex] of a finite group is contained in a maximal subgroup?

Answer:

2f2y3ui2ke9i22881o228j11 GJ

Answer:

[tex]y = 0.0625(2) {}^{x} [/tex]

Step by step

[tex]y = a(b^{x} )[/tex]

X = 1 y = 0.125

[tex]0.125 = ab^{1} \\ a = \frac{0.125}{b} [/tex]

X = 4 y = 1

[tex]1 = a( {b}^{4} ) \\ ab^{4} = 1 \\ replace \: a = \frac{0.125}{b} \: in \: ab^{4} = 1 \\ \frac{0.125}{b} \times b^{4} = 1 \\ {b}^{3} = \frac{1}{0.125} \\ b = \sqrt[3]{ \frac{1}{0.125} } \\ b = 2[/tex]

[tex]replace \: b = 2 \: in \: a = \frac{0.125}{b} \\ a = \frac{0.125}{2} \\ a = 0.0625[/tex]

[tex]therefore \: \\ y = 0.0625( {2})^{x} [/tex]

Answer:

1 - ($73,310.56/$73,608.40)^12 = .047

= 4.7%

The minimum amount of wrapping paper that is needed to cover the package is 576 square inches.

In Mathematics and Geometry, the total surface area of a trapezoidal prism can be calculated and determined by using this mathematical equation or formula:

Total surface area of a trapezoidal prism, TSA = (a + b)h + (a + b + c + d)l

Where:

By substituting the given parameters into the total surface area of a trapezoidal prism, we have:

TSA = [(12 + 4) × 6/2] × 2 + [(12 × 15) + (10 × 15) + (4 × 15) + (9 × 15)]

TSA = 96 + 180 + 150 + 60 + 90

TSA = 576 square inches.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Hello !

Answer :

Explanation :

[tex] \to \boxed{ ({x}^{a}) {}^{b} = {x}^{ab} } [/tex]

[tex] \to \boxed{ {x}^{ \frac{1}{n} } {}^{} = \sqrt[n]{x} } [/tex]

[tex] ({x}^{4} ) {}^{ - \frac{2}{3} } = {x}^{- \frac{2}{3} \times 4} \\ \boxed{= {x}^{ - \frac{8}{3} } } \\ \boxed{= \sqrt[3]{ {x}^{ - 8} }} \\ \boxed{ = \sqrt[3]{ ({x}^{ 4}) {}^{ - 2} }}[/tex]

Have a nice day ;)

The solution set of this inequality is {x| x > -6.1}

Here we have the inequality:

2x + 8 > -4.2

To find the solution set, we need to isolate the variable x in one of the sides of the inequality. Doing that we will get:

2x + 8 > -4.2

2x > -4.2 - 8

2x > -12.2

x > -12.2/2

x > -6.1

So the set of all numbers larger than -6.1, this in number form is:

{x| x > -6.1}

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Answer:

Each bundle of wood weighs approximately 56.3 pounds.

Explanation:

To determine the weight of one bundle, we divide the total weight of all the bundles by the number of bundles. Thus, the weight of one bundle is equal to 3,941 pounds divided by 70 bundles, which is approximately 56.3 pounds. Therefore, each bundle of wood weighs approximately 56.3 pounds.

Answer:

Step-by-step explanation:

ok Let me explain :

Your argument of saying that the prob is 1/2 because there are 2 colors.

Had there been red, blue and green cubes you would have ended up calculating the prob as 1/3.

But this concept is wrong.

Prob is the chance occurrence of an event given many such events.

here since we have 4 cubes , the chance to pick any one is equal and that is 1/4

chance of picking a blue cube (1/4)*1 ....since we have one blue cube

chance of picking a red cube (1/4)*3 ....since we have one red cubes

You can think in a simple manner also, when something is greater in number (3>1) , the chances to pick that would obviously be more , so the probability cannot be half.

The image of the point (-3, -7) after a reflection over the x-axis is (-3, 7)

From the question, we have the following parameters that can be used in our computation:

Point = (-3, -7)

Transformation rule

A reflection over the x-axis

The rule of a reflection over the x-axis is

(x, y) = (x, -y)

Using the above as a guide, we have the following:

Image = (-3, 7)

Hence the image of the point after a reflection over the x-axis is (-3, 7)

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The monthly payments you can withdraw from the retirement account is $1,583.4.

The monthly payments you can withdraw from the retirement account, is calculated as;

PV = Px [(1 - (1 + r)⁻ⁿ) / r]

where;

The total number of periods = 25 years x 12 months/year = 300 months

PV = P x [(1 - (1 + r)⁻ⁿ) / r]

$300,000 = P x [(1 - (1 + 0.04/12)⁻³⁰⁰) / (0.04/12)]

$300,000 = P x 189.47

P = $300,000 / 189.47

P= $1,583.4

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An exponential function would best fit the data because as x increases, the y values change multiplicatively. The rate of change of the function is of approximately 0.8275.

A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant, which is the rate of change of the exponential function.

The rate of change for this problem is approximated as follows:

Hence the rate can be rounded to 0.8275.

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Answer:

[tex]Area = 1200m^2[/tex]

[tex]Perimeter = 148m[/tex]

Step-by-step explanation:

To find the area, just multiply the length by the width. In fact, we have a simple formula for this:

[tex]A(area) = lw[/tex]

[tex]l(length) = 50[/tex]

[tex]w(width)= 24[/tex]

Now, we need to plug in our values:

[tex]A(area)= 50*24[/tex]

Simplify:

[tex]A(area) = 1200[/tex]

Therfore, the area of the rectangle is:

[tex]1200m^2[/tex]

Now, lets move on to the perimeter(again, we have a simple formula!):

[tex]P(perimeter) = 2(l+w)[/tex]

Plug in our values from before:

[tex]P(perimeter)= 2(50 + 24)[/tex]

Simplify:

[tex]P(perimeter)= 2(74)[/tex]

Multiply it out:

[tex]P(perimeter) = 148[/tex]

Therfore, the perimeter of your rectangle is 148 m

Always remember to include the proper units and format your work well to minimize mistakes and leave less room for error.

~~~Harsha~~~

For this reason, 968 grams of coffee are needed to make a grande cup, and 998 grams are needed to make a jumbo cup.

Let's call the amount of coffee required to make a grande cup "g" and the amount of coffee required to make a jumbo cup "j". We want to find the values of g and j.

From the first piece of information, we know that:

60g + 59j = 61,644

From the second piece of information, we know that:

60g + 74j = 71,184

We can solve this system of equations by using the method of elimination. To eliminate g, we can subtract the first equation from the second equation:

(60g + 74j) - (60g + 59j) = 71,184 - 61,644

Simplifying, we get: 15j = 9540

Dividing by 15, we get: j = 636

Now that we know j, we can substitute it into either equation to find g. Let's use the first equation:

60g + 59(636) = 61,644

Simplifying, we get: 60g = 59,880

Dividing by 60, we get: g = 998

Therefore, the amount of coffee required to make a grande cup is 968 grams, and the amount of coffee required to make a jumbo cup is 998 grams.

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Answer:

I don't understand you

The linear equation that gives the graph expression is: d = 2h

The general formula for the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

We are given the equation as: d = rh

where:

d is dollars

r is rate

h is hours,

From the graph, we can find the rate by finding the slope of the graph.

(1, 4) and (2, 8)

Thus:

Slope = (8 - 4)/(2 - 1)

Slope = 2

Thus, r = 2

Then d = 2h

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a) The solution to the equation is given as follows: x = -12.

b) The solution to the inequality is given as follows: -12 ≤ x < 7.

The equation for this problem is given as follows:

f(x) = g(x).

The point of intersection of the functions f(x) and g(x) is given as follows:

(-12, -7).

Hence the solution is given as follows:

x = -12.

For the inequality, we have that:

Hence the solution to the inequality is given as follows:

-12 ≤ x < 7.

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The measure of x is 25.2 degree

Given that,

Total number of votes = 3200

Bowerman's share = 224

Now the percentage of  Bowerman's  share = (224/3200)x100

                                                                         = 7%

Now we know that.

The complete angle of circle is 360 degree.

Therefore the value of x shown in the figure is,

x = 7% 360

  = (7 x 360)/100

  = 25.2 degree

Therefore,

⇒ x  = 25.2 degree

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The function of the area of the figure is M(x) = (x + 2)(3/2x - 2)

The total area of the composite figure is the sum of the areas of the individual shapes

So, we have

Area = Rectangle + Triangle

Using the area formula, we have

M(x) = (x + 2)(x - 2) × 1/2 × x ×  (x + 2)

Factorize the expression to get the function

M(x) = (x + 2)(x - 2 + x/2)

So, we have

M(x) = (x + 2)(3/2x - 2)

Hence, the function of the area of the figure is M(x) = (x + 2)(3/2x - 2)

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Answer:

The answer is located inside the file sent below

The surface area of the Triangular pyramid is approximately 331.3 square millimeters.

The surface area of a triangular pyramid, we need to calculate the area of its base and the area of each triangular face, then add them together. The formula for the surface area of a triangular pyramid is:

SA = (1/2)P*l + B

where SA is the surface area, P is the perimeter of the base, l is the slant height of each triangular face, and B is the area of the base.

In this case, the base of the triangular pyramid is an equilateral triangle with legs of 13 millimeters and a height of 11.3 millimeters. To find the area of the base, we can use the formula for the area of an equilateral triangle:

B = (sqrt(3)/4)*a^2

where a is the length of a side of the equilateral triangle.

Substituting a = 13 into the formula, we get:

B = (sqrt(3)/4)*13^2

B = (sqrt(3)/4)*169

B = 43.7 square millimeters (rounded to one decimal place)

Next, we can find the perimeter of the base:

P = 3a

P = 3*13

P = 39 millimeters

Now we can use the formula for the surface area of a triangular pyramid:

SA = (1/2)P*l + B

Substituting P = 39, l = 17, and B = 43.7, we get:

SA = (1/2)*39*17 + 43.7

SA = 331.3 square millimeters (rounded to one decimal place)

Therefore, the surface area of the triangular pyramid is approximately 331.3 square millimeters.

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Answer:

5(x + 3)

Step-by-step explanation:

the sum of x and 3 is x + 3, then multiply by 5 to obtain

5(x + 3)

Answer:

C. x =8; y = -4

Step-by-step explanation:

To find the x and y intercepts, substitute with zero.

8x - 16y = 64

Finding the x-intercept:

8x - 16(0) = 64

8x = 64

Divide both sides by 8.

x = 8

Finding y-intercept:

8(0) - 16y = 64

-16y = 64

Divide both sides by -16.

y = -4

The x intercepts of the parabola are -1 + i√(2) and -1 - i√(2)

Using the equation:

y = a(x - h)²+ k

where (h, k) is the vertex of the parabola

y = a(x  + 1)²+ 2

solving for a at the y intercept

y = a(x  + 1)²+ 2

3 = a(0  + 1)²+ 2

a = 1

To find the x intercepts we need to set y = 0 and solve for x:

0 = (x  + 1)²+ 2

x + 1 = ±√(-2)

x + 1 = ±i√(2)

x = -1 ± i√(2)

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The Standard form of the expression is 10x^4 + 24x^3 - 5x^2 - x + 48.

To write an expression in standard form, we need to arrange the terms in descending order of degree and combine like terms.

The given expression is:

48 + 24x3 - x + 10x4 - 5x2

First, we arrange the terms in descending order of degree:

10x4 + 24x3 - 5x2 - x + 48

Next, we combine the like terms:

10x4 + 24x3 - 5x2 - x + 48 = 10x^4 + 24x^3 - 5x^2 - x + 48

Therefore, the standard form of the expression is 10x^4 + 24x^3 - 5x^2 - x + 48.

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The Trigonometric functions sine (s) and cosine (c) c(5) ≈ -0.2837.

The trigonometric functions sine (s) and cosine (c). To determine s(5), we need to know the value of sine of 5 radians.

We can use a scientific calculator or a trigonometric table to find this value.

Using a calculator, we can simply enter "sin(5)" and get the answer. On most calculators, the answer will be displayed as a decimal.

Using a trigonometric table, we can look up the value of sine for 5 radians. The table will list the sine of angles in degrees, so we need to convert 5 radians to degrees first. One radian is equal to 180/π degrees, so

5 radians = (5 × 180)/π degrees ≈ 286.48 degrees

Looking up the sine of 286.48 degrees in the table, we get:

sin(286.48°) ≈ -0.9589

Therefore, s(5) ≈ -0.9589.

To determine c(5), we need to know the value of cosine of 5 radians.

We can again use a calculator or a trigonometric table to find this value.

Using a calculator, we can enter "cos(5)" to get the answer.

Using a trigonometric table, we can look up the cosine of 5 radians. Since we have already converted 5 radians to degrees, we can simply look up the cosine of 286.48 degrees in the table. We get:

cos(286.48°) ≈ -0.2837

Therefore, c(5) ≈ -0.2837.

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Answer:

41

Step-by-step explanation:

Given

Perimeter of a square ( P ) = (x + 7) cm

Side length ( L ) = 12 cm

To find : The value of x

Formula :

Perimeter of a square = 4L

4 * 12 = x + 7

48 = x + 7

x + 7 = 48

x = 48 - 7

x = 41

Answer:

A translation of (x+6, y-3)

Step-by-step explanation:

X goes left or right, while Y goes up or down. So, to move the triangle 6 units to the right, we take our current x coordinate, and add 6 to it.

The speed of the plane in calm air is 372 km/h

Given that a plane is travelling from Winnipeg to Calgary against a 50 km/hr headwind.

This flight takes half an hour longer than it would in calm air.

The distance between Winnipeg and Calgary is 1200 km.

Since we know that,

Speed may be defined as the distance travelled by an item in relation to the time it takes to travel that distance.

In other words, it measures how rapidly an item travels but does not provide direction. The term "velocity" refers to the combination of direction and speed.

The speed is defined by the rate of distance.

We must determine the plane's speed in calm air.

xy=1200

(x-50)(y+1/2) =1200

x² - 50 x-12000=0

By using quadratic formula.

x=372 as x>0

Hence, 372 km/h is the speed of the plane in calm air

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If a rectangular container is 25cm by 37cm by 21cm, then it will overflow after reaching the volume of 19425 cm³.

To know the volume after which the container will overflow, first we have to calculate the volume it can contain.

As, Volume of cuboid= length × breadth × height

So, Volume of rectangular container = 25 × 37 × 21 cm³

Volume = 19425 cm³

So, volume of rectangular container whose dimensions are  25cm by 37cm by 21cm is 19425 cm³ and it will overflow after reaching this volume.

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a) According to Chebyshev's Theorem, at least 89% of the lifetimes are between 655 hours and 1201 hours.

b) According to Chebyshev's theorem, at least 75% of the lifetimes lie between 746 hours and 1110 hours.

When the distribution is not normal, Chebyshev's Theorem is used. It states that:

The lifetimes within 2 standard deviations of the mean are given as follows:

The lifetimes within 3 standard deviations of the mean are given as follows:

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