Find the area of a rectangle that has a height of 8x^2y and a base of 6y^4

Match the following with the given options:

1. An angle whose vertex is the center of the polygon and whose sides contain consecutive vertices of the polygon - Central angle of a regular polygon2. The common center of its inscribed and circumscribed circles - Center of a regular polygon3. The distance from the center of the polygon to a vertex - Radius of a regular polygon4. The perpendicular distance from the center of the polygon to a side - Apothem of a regular polygonA polygon is a two-dimensional object that has three or more straight sides and angles. A regular polygon is a polygon with equal sides and equal angles.

A regular polygon is a shape that has all its sides the same length and all of its angles the same degree. Below are the matched answers for the given options.1. An angle whose vertex is the center of the polygon and whose sides contain consecutive vertices of the polygon - Central angle of a regular polygonThe central angle of a regular polygon is defined as the angle whose vertex is the center of the polygon and whose sides contain consecutive vertices of the polygon.

The angle measures (360 / n) degrees, where n is the number of sides of the polygon.2. The common center of its inscribed and circumscribed circles - Center of a regular polygonThe center of a regular polygon is the point at which its axes of symmetry intersect. The center is also the common center of the circumscribed and inscribed circles.3. The distance from the center of the polygon to a vertex - Radius of a regular polygonThe radius of a regular polygon is defined as the distance from the center of the polygon to any vertex. It is also the distance from the center of the polygon to the midpoint of a side

.4. The perpendicular distance from the center of the polygon to a side - Apothem of a regular polygonThe apothem of a regular polygon is defined as the perpendicular distance from the center of the polygon to a side. It is also the radius of the inscribed circle.

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Step-by-step explanation:

b) cylinder volume = π r^2 h = π*4*3= 12π = 37.68in^3

d) cone volume = .33π r^2 h = .33*π*225*50= 3750π cm^3

f) cuboid volume = l*b*h = 44*19= 836 in^3

e) hemisphere volume = 2/3 π*r^3 = 883.57ft^3

The value of both domain and range of this exponential function is (−∞,∞).

y = 2x-9

The domain of the function can be defined as all real numbers except the ones where the expression is undefined. In the case of 2x-9, there is no real number for which this expression is undefined. Therefore, a domain of this exponential function is (−∞,∞).

The range of the function is defined as the set of all valid y values. In this case, all real numbers are valid values of y. Therefore, the range of this exponential function is (−∞,∞).

Therefore, domain of y = 2x-9 is (−∞,∞) and range is also (−∞,∞).

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Suppose G is a finite abelian group that has exactly one subgroup for each divisor of |G|. G is cyclic(proved).

What is cyclic group?

A cyclic group (G, .)is a type of group in which there exist at least one element (say a) such that each and every element x of G can be written as an integral power of a i.e. x = aⁿ where n is some integer . The element a is called a generator of the group G and it can be written as

G = <a>

To show that G is cyclic,

let us take |G|= n

Suppose G is not a cyclic group.

then G would be consist of internal direct product of distinct cyclic subgroups

Cₙ₁ Cₙ₂----- Cₙₐ

Where nₓ | nₓ₋₁ and n= n₁ n₂---nₐ

As n₂|n₁ , it follows that Cₙ₁ would have a subgroup of order n₂

From this we will get that G would have two subgroups of order n₂ which is a contradiction.

Thus, our assumption that G is not cyclic group is wrong.

Hence, G is cyclic(proved).

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Answer:5/4

Step-by-step explanation:Thus, 5/4 is the simplified fraction for 60/48 by using the GCD or HCF method. Thus, 5/4 is the simplified fraction for 60/48 by using the prime factorization method.

Answer:

60/48 is simplest form is 1 3/12

Answer:

x = 26

Step-by-step explanation:

If Y= x - 12 and Y = 14

Then we input the value of y which gets us the equation of: 14 = x - 12

Now we add 12 on both sides to isolate the variable.

We ADDED 12 because we needed a way to cross out the - 12 on the right side. Now the equation would be 14+12 = x

Easily we can find that 26=x

Answer:

Area = 16sq inches

Perimeter =  16 inches

Step-by-step explanation:

The shape of body is a square:

 Area = S²

 Perimeter = 4S

S is the side length

So;

      S  = 4inches

Therefore;

       Area = S²   = 4²   = 16sq inches

       Perimeter  = 4S  = 4(4)  = 16inches

The indefinite integral of cos(x) is sin(x) + C, and we can find the definite integral of cos(x) between two limits by evaluating sin(x) + C at the upper and lower limits and subtracting the results.

The integral of cos(x) is sin(x) + C, where C is the constant of integration.

The notation for the integral of cos(x) is ∫cos(x) dx, where the symbol ∫ represents the integral sign, cos(x) is the function being integrated, and dx represents the variable of integration, which in this case is x.

The antiderivative of cos(x) is sin(x), meaning that if we take the derivative of sin(x), we get cos(x). The constant of integration, C, is added because the derivative of a constant is always zero.

Therefore, the indefinite integral of cos(x) is sin(x) + C, and we can find the definite integral of cos(x) between two limits by evaluating sin(x) + C at the upper and lower limits and subtracting the results.

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In this scenario, the correct options would be:

Part 2: A. Increase the money supply.

Part 3: B. Output will decline.

In the field of economics, inflation (or less frequently, price inflation) is the overall rise in an economy's price level over time.

Part 2: In the given scenario where the country's currency is undervalued due to a fixed exchange rate, I would recommend the following course of action:

A. Increase the money supply: This option can help stimulate the economy and address the undervaluation of the currency. By increasing the money supply, the government can inject more liquidity into the economy, which can lead to increased spending and investment. This increased economic activity can help strengthen the currency's value.

Part 3: If the country increases the money supply too much, the likely outcome would be:

B. Output will decline: When the money supply is increased excessively, it can lead to inflationary pressures. Inflation erodes the purchasing power of money, causing a decline in real output. Businesses may face rising costs, and consumers may experience reduced purchasing power. Consequently, this can negatively impact production and economic growth.

Therefore, in this scenario, the correct options would be:

Part 2: A. Increase the money supply.

Part 3: B. Output will decline.

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The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.

We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.

Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.

Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.

The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.

Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.

Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.

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Answer:

8 , 7 , 6 , 5 , 4 , 3

Step-by-step explanation:

Insert your x into the equation, then simplify for y.

Answer:

-2x + 2y = -8

Step-by-step explanation:

2y=2x-8

y=x-4

0=x-4

x=4

Hopefully this helps :) Let me know if you need me to explain it better.

Answer:

-2 x + 2 y = -8

Step-by-step explanation:

radikool

Answer:

white sold = 16

yellow sold = 12

Step-by-step explanation:

w = # of white sold

y = # of yellow sold

w + y = 28   solve this for w

w = 28 - y

9.95w + 13.5y = 321.20     substitute w = 28-y into this expression and solve for y

9.95(28-y) + 13.5y = 321.20

278.60 - 9.95y + 13.50y = 321.20

278.60 + 3.55y = 321.20

3.55y = 321.20 - 278.60 = 42.60

y = 42.60/3.55 = 12   substitute this into w = 28 - y and solve for w

w = 28 - 12 = 16

The experimental probability of correctly guessing at random exactly zero correct answers is (4/5)⁵

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Here, total multiple choice quiz = 5 questions

          Each question contains 5 choices in which 1 choice is correct and remaining 4 are incorrect.

Possibility of first wrong choice = 4/5

Possibility of second wrong choice = 4/5

Possibility of third wrong choice = 4/5

Possibility of fourth wrong choice = 4/5

Possibility of fifth wrong choice = 4/5

Overall probability for Zero correct answer=(4X4X4X4X4)/(5X5X5X5X5)

                                                                        = (4/5)⁵

Thus, the experimental probability of correctly guessing at random exactly zero correct answers is (4/5)⁵

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The metric system contains seven fundamental units of measure. The seven base units of measure in the metric system are length, mass, time, electric current, temperature, luminous intensity, and amount of substance.

These base units are used to measure different types of physical quantities in the metric system.What is the metric system?The metric system is a measuring system that is used throughout the world, and it is based on the decimal system. I

t is easy to use because it is based on powers of ten. This means that each unit is ten times larger than the previous unit and ten times smaller than the next unit.The International System of Units (SI), also known as the metric system, is a globally accepted system of measurement that is used to measure different physical quantities.

It consists of a set of fundamental units of measure, derived units, and prefixes that are used to express the units of measure.The metric system is a standard system of measurement that is used worldwide, and it has become the standard system of measurement for science, engineering, and commerce.

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Answer:

I thought fourth option because there is only one square

Answer:

Fourth option is the correct answer

\( (f - g)(x) = 3 {x}^{2} + 6x - 3\)

Step-by-step explanation:

\(f(x) = 3{x}^{2} + 7x \\ g(x) = x + 3 \\ \\ (f - g)(x) = f(x) - g(x) \\ = 3{x}^{2} + 7x - (x + 3) \\ = 3{x}^{2} + 7x - x - 3 \\ \purple{ \bold{ (f - g)(x) = 3 {x}^{2} + 6x - 3 }}\)

Answer:

1/2 or .5

Step-by-step explanation:

you find 2 points that the line goes through, then you find the rise/run. lastly you simplify if you can, then you have the answer

Answer:

$111.03

Step-by-step explanation:

79.98 + 31.05 = 111.03

Answer:

thus is so easy

Step-by-step explanation:

too easy

Answer:

y = 4x + 1

Step-by-step explanation:

Find slope, rise over run

\(\frac{y_{2}-y_{1} }{x_{2}-x_{1}} = \frac{-3--7}{-1--2} = \frac{4}{1} = 4\)

find y intercept by plugging in one of the coordinates in  y=mx+b, including m=4

-7 = 4(-2) + b

1 = b

Answer:

y = 4x + 1

Step-by-step explanation:

Answer:

2x+1

Step-by-step explanation:

S=3x+(1-6x)+4x+x​=3x-6x+4x+x+1=2x+1

Answer:

3

Step-by-step explanation:

Given that:

Integers : x, x + 1, x + 2

6x - 2(x + 1) = (x+2) + 5

6x - 2x - 2 = x + 2 + 5

4x - 2 = x + 7

4x - x = 7 + 2

3x = 9

x = 9/3

x = 3

First integer = x = 3

2nd integer = x + 1 = 3+1 = 4

3rd Integer = x + 1 + 1 = 3 + 2 = 5

Answer:

Try the first one I think and I remember when I did this one but I forgot the answer to this

Answer:

85 - 4x < 40

12 cars

Step-by-step explanation:

He starts with 85 wheels, so the inequality starts with 85.

85 -

He then subtracts 4 wheels for each car he builds.

He builds x cars, and each car uses 4 wheels, so he subtracts 4x from 85.

85 - 4x

The number of wheels he has after building x cars, is

85 - 4x

He orders more wheels when the number of wheels is less than 40.

85 - 4x < 40   <------------ This is the inequality

Now we solve the inequality for x, the number of cars.

85 - 4x < 40

Subtract 85 from both sides.

-4x < -45

Divide both sides by -4. Remember that when you multiply or divide an inequality by a negative number, the inequality sign changes direction.

-4x/(-4) > -45/(-4)

x > 11.25

Since the number of cars must be a whole number, we round up to 12.

Check:

After he builds 12 cars, he uses 4 × 12 = 48 wheels.

85 - 48 = 37

That is the highest number of wheels less than 40 that he can have before ordering ore wheels.

12 is correct.

Answer:

Each of them will have 0.8 kg of the Halloween candy. In a fraction form that would be 4/5.

Step-by-step explanation:

The probability that it will have distinct even digits is 6/1000.

The first digit can take on 5 values (0,2,4,6,8).

The second digit could take on 4 values (one less than 5 to be unique).

The third digit could take on 3 values (two less than 5 to be unique).

So that makes,

N=5.4.3

N=60

P= 60/1000

P=3/50

So there are 60 unique three digit even numbers.

There are 1000 possible outcomes.

Probability and statistics are two fundamental concepts in mathematics. Probability is about the probability of an event, whereas statistics are about how different techniques are used to process different data.

Probability and statistics allow us to process complex data in a very understandable way.

Probability is one of the most popular topics in statistics. The reason is that this one theory is often used when trying to predict something. For example, figuring out what comes out of a random series of events. For simplicity, probability is also called chance or probability. 

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Answer:

Solution,

\( \frac{bd}{cd} = \frac{ae}{ce} \)

\( \frac{6}{8} = \frac{9}{8 + de} \)

\(48 + 6(de) = 72\)

\(6(de) = 72 - 48\)

\(6(de) = 24\)

\(de = \frac{24}{4} \)

\(de = 4 \: \)

Area of trapezoid ABDE:

Area of ∆ AEC - Area of ∆ BDC

\( = \frac{1}{2} \times 9 \times 12 - \frac{1}{2} \times 6 \times 8\)

\( = 54 - 24\)

\( = 30 \: {cm}^{2} \)

Hope this helps...

Good luck on your assignment...

The coefficient of determination for a linear regression model fitting with bivariate dataset ( scatterpot present in above figure) is equals to the 90.097.

When we study about linear regressions, usually analyze two coefficients that help us to know about the quality of the regression model and strength of linear relationship between the variables. One is called the coefficient of determination, denoted by R². Consequently, by observing a scatter plot, we can estimate the value of these coefficients. We have a scatterpot for a linear model fitting of the bivariate dataset is present in above figure. Coefficient of determination is always positive. When data are very closely arranged along a approximate line, then coefficient of determination is more near to 1 (In percentage it is 100). Here points are almost closely arranged . So percentage should be near to 100. So possible answer is 90.097. Hence, the answer is 90.097.

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Complete question :

The above figure complete the question.

What is the coefficient of determination for a linear model fitting the following bivariate dataset?

Answer:

we need to know how many kilograms are in each corn muffin to answer that queastion

Step-by-step explanation:

we need to know how many kilograms are in each corn muffin to answer that queastion