solve for the area and perimeter of the swan show all work and include equations?

Disclaimer:

The equations were not given in the question.

So, take random examples for the functions f(x) and g(x) to simplify.

f(g(x)) denotes the composition function.

Important note:

After computing the composition function we must define the domain of the new function.

Example 1:

f(x) = x² and g(x) = x + 4, here the domain of f and g is the set of all real numbers.

⇒ f(g(x)) = f(x + 4) = (x + 4)²

⇒ f(g(x)) = x² + 8x + 16

This new function is also defined for all the real numbers.

Example 2:

f(x) = 5/x and g(x) = x² - 4, here the domain of g is the set of all real numbers and the domain of f is the set of all real numbers except x=0.

⇒ f(g(x)) = f(x² - 4)

⇒ f(g(x)) = 5/(x² - 4) = 5/((x - 2)(x + 2))

The domain for the new function is the set of all real numbers except x=2 and x=-2.

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Answer:

First number is -29.

Second number is -23.

Step-by-step explanation:

Num=second-6

2Num=3second+11

Substitution

2(second-6)=3second+11

2second-12=3second+11

Subtract 2second from 3 second and subtract 11 from -12

-23=second

Num=(-23)-6

Num=-29

Answer:

The last one -4÷0 cannot be answered

Step-by-step explanation:

Answer:

-4/0

Step-by-step explanation:

This is an undefined answer, due to the fact that it would come out as:

0.00000e00000

This would be an undefined problem.

Ivory's scaled counterpart has a 48-square-unit area.

Ivory's scale factor for producing their scaled replica is;

On the graph, one interval corresponds to four units of the rectangle. This ratio is 1:4.

We can see from the provided image that the rectangle's y-axis has three intervals and its x-axis has one interval.

Now, the picture informs us that the scaled copy's area is 48 square units.

This indicates that the triangle she is attempting to depict with that graph has an area of 48 square units.

Now, if one of the graph's intervals is in units of x, then it indicates;

Y-axis: length; 3x units

size; x-axis equals x units

A rectangle's area is

based on the formula Area = Length Width, 3x [tex]\times[/tex] x = 48.

1 interval on the graph corresponds to 4 units of the rectangle because 3x2 = 48 x2 = 48/3 x2 = 16 x = 16 x = 4.

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The equation of the line i slope intercept form is y = 4x - 22.

Slope is the amount a point moves in y axis upon the amount a point move in x axis.We can also say that slope is rise over run.

According to the given question we have to  an equation of line that passes through (5,-2) and (7,6) in slope intercept form.

We know equation of a line in slope intercept form is y = mx + b.

Two points are given (5,-2) = (x₁,y₁) and (7,6) = (x₂,y₂) and we know              slope (m) = (y₂ - y₁)/(x₂ - x₁).

∴ slope (m) = { 6 - (-2) }/( 7 - 5)

  slope (m) = 8/2

  slope (m) = 4.

Now the equation can be written as

y = 4x + b.

Putting any of the given pair of points for x and y in y = mx + b.

6 = 4(7) + b

6 = 28 + b

b = - 22.

∴ The required equation is y = 4x - 22.

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Answer:

13.32

Step-by-step explanation:

7 + 2 [tex]\sqrt{10}[/tex]

= 13.32456

Rounded to nearest hundredth = 13.32

Answer:

y=(3/4)x - (3/2)

Step-by-step explanation:

3x−4y=6

isolate the y variable

-4y=-3x+6

divide by -4

y=(3/4)x - (3/2)

it is equivalent because it is the same equation just in a different form

The least amount of hours of footage the observers need to review to see the Cape Sable seaside sparrow and the Florida leafwing butterfly in the area at the same time is B. 36 hours.

The least common multiple (LCM) is the smallest multiple of two or more numbers.

The LCM of 9 and 4 is 36 (4 x 9).

The total number of hours of filming and recording by the stationary camera is 96.

The regularity of observing the Cape Sable Seaside Sparrows = every 4 hours

The regularity of observing the Florida Leafwing Butterfly = every 9 hours

Using their LCM as 36,

The Cape Sable Seaside Sparrows will be observed 9 times when they meet the Florida Leafwing Butterfly at its 4th observation.

Thus, the least amount of hours of footage the observers need to review to see the Cape Sable seaside sparrow and the Florida leafwing butterfly in the area at the same time is B. 36 hours.

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Answer: KCF

Step-by-step explanation: Using this method (just kinda changed?) first change the mixed numbers to improper fractions by multiplying the denominator with the whole number, and adding the numerator to that. Then add a /1 to the regular whole numbers (or the 2nd part of the question) simply multiply both to get the improper fraction. Change into a mixed number as you wish.

Answer:

Prime Factorization is 2x2x3x3 also can be written as [tex]2^2x3^2[/tex]

Step-by-step explanation:

Take Lcm Of 36 (Lowest Divisible)

2 | 36

2 | 18    -> Prime Factorization is 2x2x3x3 also can be written as [tex]2^2x3^2[/tex]

3 | 3
3 | 3

  | 1

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The value of 2B+ 2A -2t + 20.

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

Given:

B=-2t+1

A=t+9

we have to find the expression that is equivalent to 2A + 2B

so,

2A + 2B

=2( t + 9) + 2( -2t + 1)

=2t + 18 - 4t +2

=2t - 4t + 18 +2

=-2t + 20

Hence, the value of 2A + 2B = -2t + 20

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Answer:

6j^2 - 2j = 9

j^2 -(2/6)j = 9/6

j^2 - (2/6)j + 1/36 = 9/6 + 1 /36

(j - 1/6)^2 = 55/36

j - 1/6 = √55/36

j = (√55/36) + 1/6

j = 1.40

Step-by-step explanation:

step 1 transpose 9 and it becomes positive.

step two divide everything by 6 so that j^2 has a coefficient of 1.

step 3 make a perfect square.

Then it's just simple calculations to get the answer

Answer:

B

Step-by-step explanation:

Answer:

14 cents

Step-by-step explanation:

because 4.48 divided by 4 = 1.12 BUT since there are 8 ounces in a cup 1.12 divided by 8 = 0.14

If two events, event A with probability P(A) and event b with probability P(B) are complementary events then the sum of the probability of events A and B will be one.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

When one event happens if and only if the other one doesn't, two occurrences are said to be complimentary. The odds of two complementary events equal one.

P(A) + P'(A) = 1

The chance of events A and B added together will equal one if events A with probability P(A) and event B with probability P(B) are complementary occurrences.

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Answer:8

Step-by-step explanation: 8 *2=16-5=11

Answer:

The answer are given below:

Step-by-step explanation:

1. Roaster form

A={0,1,2,3,4}

Set builder form

A={x: x⊂ w, x<5}

2.

Roaster form

B={2,3,5,7,11,13,17,.................}

Set builder form

B={x: where x is a prime number}

3.

Roaster form

C={jan ,june ,july }

Set builder form

C={x: x is month starting with "J" }

4.

Roaster form

D={4,6,8,9}

Set builder form

D={x: where x is a prime number, x<10}

5.

Roaster form

E={null}

Set builder form

E={x: x is null}

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The rectangle's width is 8m and the length is 4 times the width, so the length = 4 x 8 = 32m

To calculate the area of a rectangle, we take the width and multiply it with the length

A = 32 x 8 = 256m2

Answer:

z = -95

explanation:

Answer: It should be 4

Step-by-step explanation:

Just plug in 1 for t, t=1

Answer:

M&M's for =Rs.8 per bag

Both team sells a total 240 of a total of Rs.1614

Now

The total of both =1614-240=1374

The basketball team sold 102 packages of licorice and 138 bags of M&M's.

Given that the packages of licorice sold for $5 per package and that of the bags of M&M's for $8 per bag.

The total selling was total of 240 of both for a total of $1614.

We need to find the number of packages of licorice and bags of M&M's were sold.

Let's assume that the number of packages of licorice sold is represented by the variable "L" and the number of bags of M&M's sold is represented by the variable "M."

From the given information, we have two pieces of information to form equations:

The total number of packages and bags sold: L + M = 240

The total revenue from selling these items: 5L + 8M = 1614

Now, we can solve these two equations simultaneously to find the values of L and M.

First, let's solve the first equation for one of the variables (let's solve for L):

L = 240 - M

Now, substitute this expression for L in the second equation:

5(240 - M) + 8M = 1614

Now, distribute the 5:

1200 - 5M + 8M = 1614

Combine the M terms:

3M = 1614 - 1200

3M = 414

Now, solve for M:

M = 414 / 3

M = 138

Now that we know the value of M, we can find the value of L using the first equation:

L = 240 - M

L = 240 - 138

L = 102

So, the basketball team sold 102 packages of licorice and 138 bags of M&M's.

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Answer:

Step-by-step explation; c2 + c2 -3c + 5c + 3 - 2

                                        = 2c2 + 2c +1

==================================================

Work Shown:

A+B = 180 since the angles are supplementary

(2x-9)+(2x+21) = 180

4x+12 = 180

4x = 180-12

4x = 168

x = 168/4

x = 42

Then,

As a check, A+B = 75+105 = 180 to confirm the answer.

In linear equation, -7 m - 2 is number makes the expression equivalent.

What in mathematics is a linear equation?

Given expression is  1/2 (-14m+ 4 )

To simplify this expression  1/2 (-14m+ 4 ) we get equivalent expression.

Multiply and Divide the expression by two.

⇒ -14m/2 + 4/2

To simplify the expression again, we get,

⇒ -7 m - 2

So, we found the coefficient of m is -7

The missing number is -7

Hence, –0.7 makes the expression equivalent.

Therefore,1/2 (-14m+4) = -7 m - 2

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Answer:

the answer is =15

Step-by-step explanation:

12+18=30

30÷2

=15//

The two situations are:

Situation 1: Test Scores in Two Classes

Suppose we have two classes, Class A and Class B, taking the same exam with the same difficulty level.

The students in Class A are known to have a consistent level of performance, with most students scoring around the class average. The students in Class B, on the other hand, have a wider range of performance, with some students performing significantly better or worse than the class average.

In this situation, both classes are taking the same exam, so the central tendency (mean) of the test scores in Class A and Class B might be similar. However, the variability (spread) of the test scores in Class B is higher due to the wider range of performance among the students.

Situation 2: Monthly Rainfall in Two Cities

Consider two cities, City X and City Y, located in the same region. They experience a similar climate and weather patterns.

Over the course of a year, both cities receive roughly the same amount of rainfall on average. However, City X experiences more consistent monthly rainfall, with each month receiving rainfall close to the yearly average. In contrast, City Y has more variable monthly rainfall, with some months experiencing much higher or lower rainfall than the yearly average.

In this situation, the central tendency (mean) of the monthly rainfall in both cities will be similar since they receive the same average rainfall over the year.

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The correcting answer is - Since 5/6 is a repeating decimal, Miguel should convert the decimal -0.6 to a fraction and multiply the fractions.

Fractions represent the parts of a whole or collection of objects.

A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.

Now the given mixed fraction is,

-0.6(5/6)

Now since 5/6 is a repeating decimal,

Therefore converting 0.6 into fraction, we get

0.6 = 6/10

Therefore, -0.6(5/6) = -(6/10)*(5/6)

Rearranging we get,

-0.6(5/6) = -(6/6)*(5/10)

⇒ -0.6(5/6) = -1*(5/10)

or, -0.6(5/6) = -(5/10)

simplifying 5/10 we get,

-0.6(5/6) = -(1/2)

Thus, the correcting answer is - Since 5/6 is a repeating decimal, Miguel should convert the decimal -0.6 to a fraction and multiply the fractions.

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Answer:

There are many exponents that will give you 8.

I will list a few for you. :)

→ 2³

→ 8¹

→ [tex]\sf 4^{1.5}[/tex]

Hope this helps.

Descriptive statistics are those that involve gathering, arranging, and summarizing data.

Brief informational coefficients known as descriptive statistics are used to sum up a given data set, which may be a sample of a population or a representation of the entire population. Measures of the central tendency or measures of variability make up descriptive statistics (spread).

A descriptive statistic's main function is to summarize data. Only the data set from which they were derived are statements made by descriptive statistics; they never extend further than the data you have.

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