this is long so if you can't answer it all in one i can repost the question Some students at MDVS are planning on planting a garden this spring. They want to plant squash, pumpkins, corn, beans, and potatoes. They plan for the field layout in feet is shown in the figure below. Use the figure and your knowledge of polynomials, perimeter, and area to solve the following:

a) Write an expression that represents the length of the North side of the field.






b) Simplify the polynomial expression that represents the North side of the field.





c) Write a polynomial expression that represents the perimeter of the beans field.






d) Simplify the polynomial expression that represents the perimeter of the beans field. State one reason why the perimeter would be useful to the Garden Club.






e) Write a polynomial expression that represents the area of the potato field.





f) Simplify the polynomial expression that represents the area of the potato field in descending order. State one reason why the calculated area would be useful to the Garden Club.







g) Write and simplify the polynomial expression that represents the area of the bean field if = 3. What unit would the area of the bean field have?





h) The Club would like their bean plants to grow to a height of ( + 2). Write a polynomial expression to find the volume of the bean plants if they reach a height of ( + 2).







i) Simplify the polynomial expression that represents the volume of the bean plants if they reach a height of ( + 2) feet in descending order.






j) The club realized they forgot to include a zucchini field into the field layout. They plan to use half the length and half the width of the squash field to plant zucchini. Write a polynomial expression that represents the area of the new zucchini field.









k) Simplify the polynomial expression that represents the area of the newly added zucchini field.






l) (don't do this one if you want to Write and simplify polynomial expressions that represent the perimeter and area of the cornfield. (Extra-credit)

Explanations:

The expression is given as:

The values of x given in the tables are: x = 1, x = 2, x = 3

Let us find the values of f(x) for each value of x and see which of the tables is correct.

Therefore, the values of f(x) for x = 1, 2, 3 are 6, 18, and 54 respectively. The third table (option C) is the right choice.

The Answer I believe is the 3rd Box

Answer:

x = 62°

Step-by-step explanation:

the top-most angle in the top isosceles triangle must be 73° also

the third angle of the top isosceles triangle is (180 - 73 + 73) which is 34°

the left portion of the right angle must be 56°

you can find by using this equation:  x + x + 56 = 180

2x = 124

x = 62

The measure of length PQ will be 22 units.

A triangle's third side is stated to be parallel to the line segment uniting its two midpoints, and it is also half as long as the third side.

Given:

PQ = 5x + 62, and MN = 6x-4

Now, using Mid- Point Theorem

PQ= 1/2 MN

-5x+ 62 = 1/2( 6x - 4)

-5x+ 62 = 3x - 2

-5x- 3x = -2 - 62

-8x = -64

x= 8

PQ= 5x+ 62 = -5(8) + 62 = -40 + 62 = 22

Hence, the measure of PQ is 22 units.

The missing image is attached below.

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Answer:

A, the other person was correct

Step-by-step explanation:

The polynomial functions is graphed below is f(x) = (x+ 4)(x- 2)².

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

There are three components that make up a function: a set of inputs, a set of outputs, and a rule that links the elements of the input set to the elements of the output set so that each input is paired with exactly one output.

We have a graph for polynomial function.

We know that the function of graph have solution where the graph touches or passes the x axis.

Here from the graph at x = -4 and at x= 2 the touches and moves upward.

So, the factors of polynomial are (x+ 4) and (x- 2).

Thus, the polynomial function is f(x) = (x+ 4)(x- 2)².

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Given:

Find: interval notation of the given number line.

Explanation:

is the interval notation for the given number line.

$25,000 of Geoffrey's income is subject to the net investment income tax.

The net investment income tax applies to certain types of income, including rental real estate income, and is calculated based on an individual's modified adjusted gross income (MAGI) and filing status. In the case of Geoffrey, his rental real estate income of $25,000 is subject to the net investment income tax.

To calculate the net investment income tax, we need to determine Geoffrey's MAGI. His total income for the year consists of $25,000 in rental real estate income and $180,000 in wages, totaling $205,000. Since he has no adjustments to income, his MAGI is equal to his total income of $205,000.

Therefore, the amount of Geoffrey's income subject to the net investment income tax is $25,000.

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Step-by-step explanation:

plz give brainlyest

4* 53+1/(8-5)^3

4(54)/(8−5)3

4(54/3^3)

4(54/27)

(4)(2)=8  the answer is 8

Answer:

Add 53 + 1

Step-by-step explanation:

Answer:

the answer is -6, 2

Step-by-step explanation:

Answer:

the answer is -6, 2

Step-by-step explanation:

Answer:

ANSWER

x =  { - 20}{7}

y={ 4}{7}

Step-by-step explanation:

the function should be represented as f(t) = 24,500( 0.88\()^{t}\)

What is an Equations?

Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

Given,  f(t) = 24,500 x (0.88)t

Assuming that the value of the car only increases by 88% per year compared to the previous year, the function rule needs to have "t" as the exponent, thus it should be f(t) = 24,500( 0.88\()^{t}\)

Hence, the function should be represented as f(t) = 24,500( 0.88\()^{t}\)

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If the arr =  {2, 6, 10, 99, 898) and key = 898 , then the depth of recursion in the binary search is (c) 2 .

The Depth of Recursion in Binary Search refers to the number of recursive calls required to find the target element in the array.

In the Binary Search,  the array is repeatedly divided in half until , we find the target element or conclude that it is not present in the array.

The target element (Key) is = 898 and the array is {2, 6, 10, 99, 898} .

The initial array is divided into two parts: {2, 6, 10, 99} and {898} ;

Since 898 is larger than 99, we only need to consider the right half of the array: that is {898}.

The next step is to compare the target element (Key) = (898) with the middle element which is {898} .

and Since they both are equal, we have found the target element.

Therefore , the depth of recursion in this binary search is (c) 2.

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Answer:

I think the answer is liner

Step-by-step explanation:

Since 4104 students are employed sophomores, juniors, or seniors, the total number of unemployed students is 11,989 - 4104 = 7885.

And since 745 students are employed freshman, the number of unemployed freshman is 7885 - 745 = 7140.

So, the total number of freshman is 745 + 7140 = 7885.

The Venn diagram would look like this:

[ Freshmen ] [ Sophomores, Juniors, Seniors ]

[ 7885 ] __________ [ 4104 ]

| 745 |

__________

[ 7140 ]

So, there are 7885 freshman.

The inverse functions required from the given table of values are;

f⁻¹(1) = 1/3

f⁻¹(12) = 1/13

f⁻¹(7) = 1/9

An inverse function also called an anti function is defined as a function, that can reverse into another function. This simply means that, if any function “f” takes x to y then, the we can say that the inverse of the function “f” will take y to x. If the function is denoted by 'f' it means that the inverse function is denoted by f⁻¹(x)

For example, we have the function;

y = 2x + 3, the inverse would be;

f⁻¹(y) = (x - 3)/2

Thus, from the given table;

f⁻¹(1) = 1/3

f⁻¹(12) = 1/13

f⁻¹(7) = 1/9

Thus, we conclude that the inverse functions of f⁻¹(1), f⁻¹(12) and f⁻¹(7) are respectively 1/3, 1/13 and 1/9.

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Answer:

the answer is -1

Step-by-step explanation:

− 2 = 2

− 2 / 2    =     2 / 2

Answer:

[D] $ 24,250

Step-by-step explanation:

$24,250 dollar will I have after three years.

Answer:

sin B = (1/2)√2 = √2/2, so B = 45°

Step-by-step explanation:

a) For AB:

\( \sqrt{2 {x}^{2} + 20x + 50} \)

\( \sqrt{2( {x}^{2} + 10x + 25) } \)

\( \sqrt{2 {(x + 5)}^{2} } \)

\((x + 5) \sqrt{2} \)

So sin B = AC/AB = 1/√2 = √2/2, and it follows that B = 45°.

The value of the angle and side using trigonometric ratio is:

∠B = 45°

sin B = 1/√2

The three primary trigonometric ratios are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

From the diagram, using trigonometric ratios, we have:

sin B = (x + 5)/√(2x² + 20x + 50)

Now, using Pythagoras theorem, we can find the side BC. Thus:

BC = √[(2x² + 20x + 50) - (x + 5)²]

BC = √(2x² + 20x + 50 - x² - 10x - 25)

BC = √x² + 10x + 25

BC = √(x + 5)²

BC = x + 5

Since AC = BC, it means it is an Isosceles triangle and so ∠B = 45°

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One consumer-oriented multinational enterprise that is well-known is McDonald's, and one industrial multinational enterprise is General Electric (GE). Complementarity within the operations of these two firms refers to the interdependence and mutually beneficial relationship they create with other businesses or industries in host countries.

In the case of McDonald's, its operations require a wide range of equipment and components to support its restaurant infrastructure. This includes kitchen appliances, food processing equipment, packaging materials, furniture, and signage, among others. These equipment and components are often sourced from local suppliers in host countries, stimulating foreign trade in the short and long run. Additionally, McDonald's operations create demand for complementary products such as food ingredients, beverages, and condiments, which further support local agricultural and manufacturing sectors.

Overall, both McDonald's and General Electric create opportunities for foreign trade through their operations in host countries by stimulating the demand for equipment, components, and complementary products. These interdependencies support local economies, foster the growth of related industries, and contribute to the overall development of international trade relationships in the short and long run.

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The probability that she will choose to use a cab exactly one time is 4/9.

It has been given that In the morning she has 3 transportation choices. And in the evening the same 3 choices.

i) bus

ii) cab

iii) train

Since each choice have an equal chance of being chosen,

The probability of Choosing a bus will be 1/3

The probability of Choosing a cab will be 1/3

The probability of Choosing a train will be 1/3

Now, the Probability of Not Choosing the cab will be the sum of the probabilities of choosing a bus and train i.e, 2/3

Now there will be two possibilities-Either She chooses a cab in the morning and something else in the evening Or She chooses a cab in the evening and something else in the morning.

Therefore, the probability of choosing a cab exactly one time =

( Probability of cab in morning x Probability of no cab in the evening) + (Probability of no cab in morning x Probability of cab in evening)
Probability of choosing a cab exactly once

= 1/3 x 2/3  + 2/3 x 1/3

= 4/9

Therefore, the probability that she will choose to use a cab exactly one time is 4/9.

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Answer:

12 days.

Step-by-step explanation:

She would have enough food to feed her pet ferret for 12 days, at a cup a day, before she would need to buy more.

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Answer:

9

Step-by-step explanation:

Answer:

The coefficient is 9

Step-by-step explanation:

Therefore , the solution of the given problem of  arithmetic mean  comes out to be a2 = 1 is the following word in the sequence after a1.

The average values of a list, also known as the organization's values, are calculated by adding up all of the list's values. These average values are then adjusted by the proportion of list components in the largest density. similar growth patterns can be seen in math. The average of the actual numbers 5, 7, and 9 is 4, and the result of adding three to the number 21 (there are currently several three-digit numbers) is seven.

Here,

Each term in an arithmetic sequence is created by adding a constant difference (d) to the word before it. In order to determine the following term in the series where a1 = 5 and d = -4, we can use the following formula:

=> a = a1 +  (n-1)*d

where an is the sequence's nth word.

Inputting a1 = 5 and d = -4 results in:

=> a2 = a1 + (2-1)*d = 5 + (-4) = 1

As a result, a2 = 1 is the following word in the sequence after a1.

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Answer: D

Step by step explanation:

If A to C is 3x+7 then you can plug in the numbers. B to c is 5x-5 so 5x-5-2x+ 12 gives you the total of 3x+7

The intercepts of the line, -4x + 7y = 3 are:

x-intercept: -3/4

y-intercept: 3/7

From an equation that represents a line, we can determine the y-intercept by setting x = 0 and solve for the value of y, and also determine the x-intercept by setting y = 0 to find the value of y.

Given the equation of a line as, -4x + 7y = 3, find the x-intercept by substituting y = 0 into the equation:

-4x + 7(0) = 3

-4x + 0 = 3

-4x = 3

x = -3/4

The x-intercept is: -3/4.

Find the y-intercept by substituting x = 0 into the equation:

-4(0) + 7y = 3

0 + 7y = 3

7y = 3

y = 3/7

The y-intercept is: 3/7.

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Sin(pi - theta) has a value of 4/9. sin(pi - theta) is equal to sin for any value of theta (theta). sin(pi - theta) has a value of 4/9.

We may calculate the value of sin(pi - theta) using the trigonometric identity sin(pi - theta) = sin(pi)cos(theta) - cos(pi)sin(theta):

Pi minus theta equals sin (pi)

cos(pi)sin - cos(theta) (theta)

We may simplify the expression to: since sin(pi) = 0 and cos(pi) = -1

0*cos(theta) - (-1)*sin = sin(pi - theta) (theta)

Pi minus theta equals sin (theta)

The value of sin(theta) can now be substituted to obtain:

Theta = 4/9 sin(pi - theta)

Hence, sin(pi - theta) has a value of 4/9.

The value of theta determines the value of sin(pi - theta). In terms of the trigonometric functions of theta, there is a generic formula to get sin(pi - theta): Pi minus theta equals sin (pi)

cos(pi)sin - cos(theta) (theta)

We may simplify the expression to: since sin(pi) = 0 and cos(pi) = -1

0*cos(theta) - (-1)*sin = sin(pi - theta) (theta)

Pi minus theta equals sin (theta)

Hence, sin(pi - theta) is equal to sin for any value of theta (theta).

Hence, sin(pi - theta) has a value of 4/9.

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The 5th value of the 60% percentile is 47 when for each test score in the data set is 12, 28, 35, 47, 49, 50.

Given that,

For each test score in the data set, the percentile rank is determined. 12, 28, 35, 42, 47, 49,  

We have to find what number represents the 60% of the population.

We know that,

So,

Percentile rank =[(Number of values below x)+0.5]/ total number of values × 100

For 12,

Percentile rank = [0 +0.5]/7×100

= 7th

For 28,

Percentile rank = [1 +0.5]/7×100

= 21st

For 35,

Percentile rank = [2 +0.5]/7×100

= 36th

For 42,

Percentile rank = [3 +0.5]/7×100

= 50th

For 47,

Percentile rank = [4 +0.5]/7×100

= 64th

For 49,

Percentile rank = [5 +0.5]/7×100

= 79th

For 50,

Percentile rank = [6 +0.5]/7×100

= 93rd

Now,

n = 7

60th percentile = 60% of n

So,

60% of n = 60/100×7

= 0.6×7

= 4.2

Therefore, The 5th value of the 60% percentile is 47 when for each test score in the data set is 12, 28, 35, 47, 49, 50.

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Answer:

Nancy will be 32 and Khaled will be 16

Step-by-step explanation:

3 years ago Nancy was more than 2 so lets start with 2. To get back to present each year x2 meaning 3 x 2=6 and add the 2 so thats 8. Now the 4 more years is 4x2 which is 8. 8+8=16 and then twice Nancy's age is 16x2: Nancy is 32 and Khaled is 16

The given statement in the given question about inequality symbol is True.

An inequality is a mathematical sentence that compares the value of two expressions using an inequality symbol, such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to). Inequalities are an important concept in mathematics that allow us to compare the values of two expressions. They are used to describe relationships between quantities that may not be equal, but are still related in some way. For example, an inequality can be used to express that one number is greater than or less than another number. Inequalities are often used in algebra, calculus, and other branches of mathematics, as well as in real-world applications like economics, physics, and engineering. Understanding inequalities is an essential skill for students of mathematics and is used in solving equations, graphing functions, and making predictions about various situations.

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Complete Question

An inequality is a mathematical sentence that compares the value of two expressions using a inequality symbol.

True/False

Thus, with 99% confidence, we can say that the proportion of smeared ink in the 200 sheets of paper inspected falls between 1.3% and 15.7%.

To calculate the confidence interval of the proportion smeared in 200 sheets of paper inspected for smeared ink, we can use the formula:

Confidence Interval = sample proportion ± (critical value) x (standard error)

The sample proportion is the number of sheets containing smeared ink divided by the total number of sheets inspected, which is 17/200 = 0.085.

The critical value for a 99% two-sided confidence interval with 200 observations can be found using a t-distribution table or calculator, and is approximately 2.576.

The standard error can be calculated as the square root of [(sample proportion) x (1 - sample proportion) / sample size], which is the square root of [(0.085) x (1 - 0.085) / 200] = 0.028.

Plugging in these values, we get:

Confidence Interval = 0.085 ± (2.576) x (0.028)
Confidence Interval = 0.085 ± 0.072
Confidence Interval = (0.013, 0.157)

Therefore, with 99% confidence, we can say that the proportion of smeared ink in the 200 sheets of paper inspected falls between 1.3% and 15.7%. This means that we are 99% confident that the true proportion of smeared ink in the population of printed sheets falls within this range.

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Answer:

the answer is twenty four