PLEASE HELP!!!!!!!!!!!!!!!!!!

PLEASE HELP!!!!!!!!!!!!!!!!!!

Answers

Answer 1

9514 1404 393

Answer:

  11 73/78 ≈ 11.9359   (not 14)

Step-by-step explanation:

The similarity statement tells us ...

  QS/QR = FG/FH

  QS = QR·FG/FH

  13x -14 = 154(55/60) = 847/6

Adding 14 = 84/6, we have ...

  13x = 931/6

  x = 931/78 = 11 73/78 . . . . . . . divide by 13

__

Comment on the question

You get a nice integer answer for x if the similarity statement is written ...

  ∆FGH ~ ∆QRS . . . . . . . note the letters are in alphabetical order

Then you have ...

  QS/QR = FH/FG

  13x -14 = 154(60/55) = 168

  13x = 182

  x = 14

This nice answer to a nice similarity statement leads us to believe the question has an error in it.

We suspect you are expected to provide x=14 as the answer, even though that is NOT the answer to the question as written. You may want to discuss this with your teacher.


Related Questions

What type of correlation (association)? The outside temperature and the amount of layers you wear.​

Answers

Answer:

negitive corralation

Step-by-step explanation:

The outside temperature and the number of layers you wear.​ represents a negative correlation.

What is correlation?

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

As we know a negative correlation is a relationship between two variables in which one increases while the other decreases and a positive correlation is a relationship in which one variable increases while the other decreases.

The case of the two variables that are outside temperature and the number of layers you wear represents the negative correlation because in the summer temperature increases and the number of layers decreases that you wear.

In the winter when the temperature goes down the number of layers increases that you wear.

Thus, the outside temperature and the number of layers you wear.​ represents a negative correlation.

Learn more about the correlation here:

brainly.com/question/11705632

The scale on a map is 1 : 30 000 What is the actual distance represented by 1 centimeter? Give your answer in meters

Answers

Srry I don’t know this but I’m sure You’ll find d answer

What is true about the sum of the two polynomials 6 s 2 t − 2 st 2 4 s 2 t − 3 st 2?

Answers

The sum of the two polynomials 6s²t – 2st² and  4s²t – 3st² is 5(2s²t – st²) in factorized from.

What is polynomials?

One or more algebraic terms (monomials) are combined mathematically to form a polynomial. Poly- (many) and -nomial (terms) are the roots of the word "polynomial".

A polynomial can have exponents (powers), constants (numbers), and variables (letters), but never negative exponents or division by a variable.

In standard form, polynomials prefer to be expressed. In addition, the exponents are arranged in descending order because they don't contain any similar terms (largest to smallest).

The sum of two polynomial is

⇒6s²t – 2st² + 4s²t – 3st²

= 6s²t + 4s²t – 3st²– 2st²

= 10s²t – 5st²

= 5(2s²t – st²)

Learn more about polynomial

https://brainly.com/question/11536910

#SPJ4

Full question

What is true about the sum of the two polynomials?

6s²t – 2st² and  4s²t – 3st²

Sorry for the quality, if anyone could help. It’s geometry.

Answers

Answer:

5

Step-by-step explanation:

Rafael claims it's easiest to score points when a scatterplot has a linear association. Sahana says it's easiest when a scatterplot has a strong association.


Who is correct?

Answers

Rafael claims it's easiest to score points when a scatterplot has a linear association. Sahana says it's easiest when a scatterplot has a strong association. Both Rafael and Sahana are correct, in their own way.

A scatterplot with a linear association means that there is a straight line relationship between the two variables being plotted. In such a scatterplot, it is relatively easy to make predictions based on the line of best fit, as well as to calculate the correlation coefficient(r), which can indicate the strength and direction of the linear relationship.

On the other hand, a scatterplot with a strong association means that the points in the plot are closely grouped together, indicating a high degree of correlation between the variables. It is relatively easy to make predictions based on the overall pattern of the points in the scatterplot, even if there is no clear linear relationship.

So, Rafael is correct that scoring points is easiest when a scatterplot has a linear association because it is relatively easy to make predictions based on the line of best fit and correlation coefficient. And Sahana is correct that scoring points is easiest when a scatterplot has a strong association because it is relatively easy to make predictions based on the overall pattern of the points in the scatterplot.

To know more on scatterplot

https://brainly.com/question/8310967

#SPJ4

which of the following statements is true? a. the radius of a circle is twice its diameter b. to find the diameter of a circle, divide its circumference by pie. c. the circumference of a circle is grater than its diameter

Answers

Answer:

Statement B, C, E are correct

Solution:

We have to find the true statements

We know that,

To find the diameter of a circle, multiply its radius by two

Thus statement E is correct

Also,

To find the diameter of a circle, divide its circumference by π

Thus statement B is correct

circumference of a circle is obtained by multiplying diameter with pi

The circumference of a circle is greater than its diameter

Thus, Statement C is correct

C.

The circumstances is a circle that is greater than the diameter

help plz 20 points help plz its math ​

Answers

Answer: A

Step-by-step explanation:

answer:
B

step-by-step explanation:
think of it like a ladder you have to walk over to the ladder before you climb up so find 4 on the x and -2 on the y to find your answer.

Daphine flips a coin four times. What is the probability that it lands on rails all four times?

Answers

Answer:

4/8  if you need simplified version its 1/2

Step-by-step explanation:

A coin has 2 sides. If you flip a coin one time, the possibility of getting a tails would be 1/2.

times 1/2 by 4 (since your flipping it four times)

Find the height of a trapezium whoe area i 420 q. Cm and the um of the length of it parallel ide i 30 cm

Answers

The sum of length of the parallel sides of a trapezium exists 300 cm.

What is meant by trapezium?

A trapezoid, which is often referred to as a trapezium, is a flat, closed object with four straight sides and one set of parallel sides. A trapezium's parallel bases and non-parallel legs are referred to as its bases and legs, respectively. Also possible are parallel legs on a trapezium.

Four sides, four corners/vertices, and four angles make up a trapezium, which is a closed shape or polygon. A trapezium has parallel sides on each of its opposing angles.

One set of the sides of a trapezium is parallel only. Since no trapezium is a rectangle, they are not all the same.

Area of trapezium = (a + b)/2 × h

where h is the perpendicular height, and a and b are parallel sides.

So, (a + b) exists sum of length of bases of a trapezium.

Let the equation be

Area of trapezium = (a + b)/2 × h

substitute the values in the above equation, we get

⇒  4.2 × 100² = (a + b) / 2 × 280 {1 m = 100 cm}

simplifying the equation, we get

⇒ (84/280) × 10000 = a + b

⇒ a + b = 300 cm

Therefore, the sum of length of the parallel sides of a trapezium exists 300 cm.

The complete question is:

Find the sum of length of the parallel sides of a trapezium whose area is 4.2 m² and whose height is 280 cm.

To learn more about trapezium refer to:

https://brainly.com/question/137259

#SPJ4

The sum of length of the parallel sides of a trapezium exists 300 cm.

What is meant by trapezium?

A trapezoid, also known as a trapezium, is a closed, flat object with one pair of parallel sides and four straight sides. The parallel bases and the non-parallel legs of a trapezium are called the bases and the legs, respectively. A trapezium with parallel legs is another option.

A trapezium is a closed shape or polygon with four sides, four corners, and four angles. Each of the opposing sides of a trapezium has parallel sides.

A trapezium has only one set of parallel sides. They are not all the same since no trapezium is a rectangle.

Area of trapezium = (a + b)/2 × h

where h is the perpendicular height, and a and b are parallel sides.

So, (a + b) exists sum of length of bases of a trapezium.

Let the equation be

Area of trapezium = (a + b)/2 × h

substitute the values in the above equation, we get

⇒  4.2 × 100² = (a + b) / 2 × 280 {1 m = 100 cm}

simplifying the equation, we get

⇒ (84/280) × 10000 = a + b

⇒ a + b = 300 cm

Therefore, the sum of length of the parallel sides of a trapezium exists 300 cm.

The complete question is:

Find the sum of length of the parallel sides of a trapezium whose area is 4.2 m² and whose height is 280 cm.

To learn more about trapezium refer to:

brainly.com/question/137259

#SPJ4

A small radio transmitter broadcasts in a 31 mile radius. If you drive along a straight line from a city 41 miles north of the transmitter to a second city 42 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter

Answers

On solving the provided question, we can say that the slope's the intersection points are: (20.698, 42.197) and (43.998,16.527), the transmitter is within range between those to points along the line.

what is slope?

A line's slope determines how steep it is. A mathematical equation for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two spots. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is employed to express it. The y-intercept is located at a location where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).

city - north at (0,65)

city-east at (59,0)

Slope is m=(-65/59)

[tex]B= y - mx = 65 - (-65/59)(0) = 65[/tex]

The equation of the line between the cities is y = (-65/59)x + 65

[tex]x^2 + ( (-65/50)x + 65) )^2 = 47^2[/tex]

the intersection points are:

(20.698, 42.197) and (43.998,16.527)

The transmitter is within range between those to points along the line.

To know more about slope visit:

https://brainly.com/question/3605446

#SPJ4

Bart and April are purchasing a house with a 15-year, 2/1 ARM for $315,000 at 5. 85% with a 2/8 cap structure. What will the difference in

payments be from year 2 to year 3?


$309. 69

$595. 18

$333. 68

$86. 56

Answers

The monthly payment for this difference would be $1,361.21. An Adjustable Rate Mortgage (ARM) is a type of mortgage in which the interest rate on the loan changes over time.

An Adjustable Rate Mortgage (ARM) payment is based on various factors such as the loan amount, interest rate, and the terms of the ARM. The interest rate is usually tied to a specific financial index, such as the U.S.

Here is the calculation format for the difference in payments between year 2 and year 3 for Bart and April's mortgage:

Total amount to be paid for the mortgage: $315,000

Rate of interest: 5.85% (Depreciating rate)

Time = 2 years:

a. Remaining amount to be paid after 2 years:

Principal × (1 - Rate/100)^time

= $315,000 × (1 - 5.85/100)²

= $315,000 × (1 - 0.0585)²

= $279,223.01

Time = 3 years:

a. Remaining amount to be paid after 3 years:

Principal × (1 - Rate/100)^time

= $315,000 × (1 - 5.85/100)³

= $315,000 × (1 - 0.0585)³

= $262,888.46

Difference in payments from year 2 to year 3:

= Remaining amount after 2 years - Remaining amount after 3 years

= $279,223.01 - $262,888.46

= $16,334.55

The monthly payment for this difference would be $1,361.21, which is calculated by dividing the difference in payments by 12:

$16334.546/12 = $1361.21

Learn more about ARM, here https://brainly.com/question/30127827

#SPJ4

Percent of change. What is 40 decreased to 33

Answers

Answer:

13.2

Step-by-step explanation:

40 decreased by 33% = 26.8

Absolute change (actual difference):

26.8 - 40 = - 13.2

Write an equation in slope-intercept form of the line that passes through the points
(12,10)and (16,8).

Answers

Answer:

y=-1/2x+16

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(8-10)/(16-12)

m=-2/4

m=-1/2

y-y1=m(x-x1)

y-10=-1/2(x-12)

y=-1/2x+12/2+10

y=-1/2x+6+10

y=-1/2x+16

Molly is building a model roller coaster as part of a school project she chose the millennium force in cedar point which is 94 meters tall to model if molly uses a scale of 1 centimeter = 4 meters what will be the height of the model

Answers

Answer:

  23.5 cm

Step-by-step explanation:

You want the height of the model of a 94 m tall roller coaster when the model scale is 1 cm = 4 m.

Proportion

The model dimensions are assumed to be proportional to the real-world dimensions, so the model height h will satisfy the proportion ...

  h/(94 m) = (1 cm)/(4 m)

Multiplying by 94 m gives ...

  h = (1 cm)(94/4) = 23.5 cm

The height of the model is 23.5 cm.

Wendall designs a tower with a height in feet that can be represented by the function T(x) = 9(x + 6.9), where x is the height of the visible space in a standard office. Then, he decides to include an above ground parking garage under the tower. The height of the parking garage can be represented by the function G(x) = 3x.

Answers

Answer:

[tex]G(T(x)) = 27(x + 6.9)[/tex]

Step-by-step explanation:

Given

[tex]T(x) = 9(x + 6.9)[/tex]

[tex]G(x) = 3x[/tex]

Required [Missing from the question]

G(T(x))

We have:

[tex]G(x) = 3x[/tex]

This implies that:

[tex]G(T(x)) = 3(T(x))[/tex]

Substitute: [tex]T(x) = 9(x + 6.9)[/tex]

[tex]G(T(x)) = 3[9(x + 6.9)][/tex]

Open bracket

[tex]G(T(x)) = 27(x + 6.9)[/tex]

There are 3 people pulling on an object, the first person pulls with a force of 226 newtons at a direction of 145 degrees the second person pulls with a force of 331 newtons at a direction of 303 degrees. The third person pulls with a force of 377 newtons at a direction of 77 degrees. find the resultant vector . find the resultant force . find the direction

Answers

Answer:

[tex]R=883.74N[/tex]

Step-by-step explanation:

From the question we are told that:

Force 1 [tex]F_1=226N[/tex]

Force 2 [tex]F_2=331N[/tex]

Force 3 [tex]F_3=377N[/tex]

Direction 1  [tex]\theta_1=145 degrees \approx 35 \textdegree (2nd qudrant)[/tex]

Direction 2 [tex]\theta_2=303 degrees \approx 57 \textdegree (3rd qudrant)[/tex]

Direction 3 [tex]\theta_3=77 degrees[/tex]

Generally Resolving forces to X axis is mathematically given by

 [tex]\sum f_x=337cos77+331cos57+226sin35[/tex]

 [tex]\sum f_x=351.596N[/tex]

Generally Resolving forces to Y axis is mathematically given by

 [tex]\sum f_y=337sin77+331sin57+226cos35[/tex]

 [tex]\sum f_x=810.788N[/tex]

Generally the equation for Resultant force R is mathematically given by

 [tex]R=\sqrt{\sum f_x^2+\sum f_x^2}[/tex]

 [tex]R=\sqrt{351.596^2+810.788^2}[/tex]

 [tex]R=883.74N[/tex]

The radius of a circle is 7 cm what is the area

Answers

Answer:

153.94 cm²

Step-by-step explanation:

Area of circle = πr² = π(7)² = 49π = 153.94 cm²

Answer:

7^2 = 49

49 x 3.14 = 153.86

Step-by-step explanation:

Formula of an Area of a circle:

pi(3.14 or 22/7 or whatever they tell you to use for pi) x radius squared

what is the area of this figure?

Answers

Answer:

602

Step-by-step explanation:

First find area of the rectangle portion

L x W

22 x 15

330

Second find area of trapezoid

B1+B2/2 times height

12+22/2 times 16

34/2 times 16

17 times 16

272

Lastly, add areas together

Maggie made the following quilt from 64 square pieces of fabric.

A square array of eight squares wide by eight squares long. The length of the total square is seven and fifty-two hundredths feet.

What is the side length of each square piece of fabric? Enter your answer in the box.
11.75
feet

Answers

Answer:

11.75

Step-by-step explanation:

The quilt consists of a square array of 8 x 8 = <<8*8=64>>64 square pieces of fabric.

Since the length of the total quilt is 7.52 feet, the side length of each square piece of fabric is 7.52 / 8 = <<752/8=0.94>>0.94 feet.

However, since you are asked to enter your answer in the box in feet, you should express 0.94 feet as a decimal to the nearest hundredth. The nearest hundredth of a foot to 0.94 feet is 0.95 feet. Therefore, the side length of each square piece of fabric is approximately 0.95 feet, or approximately 11.75 inches.

So the answer is 11.75 feet.

Given this unit circle, what is
the value of x?
(x,-√2)
X =
(1,0)
[?]
Enter

Answers

Answer:

x = - √2/2

Step-by-step explanation:

We know that x = rcosθ and y = rsinθ. The unit circle always have radius of 1 unit. Therefore, r = 1 as defined. Hence:

x = cosθ, y = sinθ

x = cosθ, θ = arcsin(y)

x = cos{arcsin(-√2/2)}

Find the measurement or θ that makes sinθ = -√2/2 and that is π + π/4 = 5π/4.

x = cos(5π/4)

And cos(5π/4) = - √2/2 as well. Hence, x = - √2/2.

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 87 m long and 69 m wide. What is the length of a training track running around the field? (Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.)

Answers

Answer:

607.32

Step-by-step explanation:

two semi circles make a whole circle so use the normal circumfrence formula 2 pi r

circumfrence = 433.32

the perimeter of the rectangle is 87 + 87, because they are on the outside of the field.

The answer is 607.32

A certain television is advertised as a 90-inch TV (the diagonal length). If the height of the TV is 63 inches, how wide is the TV? Round to the nearest tenth of an inch.

Answers

Answer:

The TV is 64.3 in. wide.

Step-by-step explanation:

a  

2

+(63)  

2

=

\,\,90^{2}

90  

2

 

Use the Pythagorean Theorem.

a^{2}+3969=

a  

2

+3969=

\,\,8100

8100

Simplify.

-3969\phantom{=}

−3969=

\,\,-3969

−3969

Subtract 3969 from both sides.

a^{2}=

a  

2

=

\,\,4131

4131

\sqrt{a^{2}}=

a  

2

 

​  

=

\,\,\pm\sqrt{4131}

±  

4131

​  

 

Square root both sides.

a=

a=

\,\,64.272855...

64.272855...

Simplify. Ignore negative root, as length must be positive.

a\approx

a≈

\,\,64.3

64.3

Round to the nearest tenth.

The rectangle TV's width is determined by the formula W = 64.3 inches.

What is the diagonal of a rectangle?

The formula determines a rectangle's diagonal.

From the Pythagoras Theorem , The hypotenuse² = base² + height² , and

Diagonal of a Rectangle = √ ( Length )² + ( Width )²

Given data ,

Let D represent the diagonal of the rectangular TV.

D is now equal to 90 inches.

Let the TV's rectangle size be 63 inches.

Let W be the TV's rectangular width.

And , Diagonal of a Rectangle = √ ( Length )² + ( Width )²

D² = L² + W²

90² = 63² + W²

Subtracting 63² on both sides of the equation , we get

W² = 90² - 63²

On simplifying the equation , we get

W² = 4131

Taking square roots , we get

W = √4131 inches

W = 64.3 inches

Thus , W is equal to 64.3 inches.

Hence, the rectangular TV is 64.3 inches wide.

Go here to learn more about rectangle's diagonal.

https://brainly.com/question/13583275

#SPJ2


⚠️⚠️GIVING BRAINLIST⚠️⚠️
GIVING BRAINLIST HELP!

Answers

Answer:

I agree with Helen because she is right that the volume is about 175 cubic inch. and it is a triangular prism.

Step-by-step explanation:

helen is swaggy so i must agree with her

what other reason is there not to agree?

What are the 4 types of real numbers?

Answers

Real numbers are every  number that exists in the real line, The four types of real numbers are rational, irrational, Natural and Integers.

What is a real number?

In mathematics, a real number is a value that can be represented on the number line. The set of real numbers includes both rational numbers (such as integers, fractions, and decimals) and irrational numbers (such as √2 and π). Real numbers also include positive numbers, negative numbers, and zero. The set of real numbers is usually represented by the symbol R, and it has the properties of being closed under the operations of addition, subtraction, multiplication, and division (except for division by zero).

What are ideal and real solutions?

In mathematics, an ideal solution refers to a solution that meets all the desired criteria or requirements without any constraints. It is the "best case" scenario. A real solution, on the other hand, refers to a solution that takes into account all the limitations and constraints of a problem. It is a more practical and realistic solution.

Rational number = 3/4, -6/2, or 0.5.

Irrational number = √2, π, or e.

Natural number = 1,2,3,4....

Integers = -4, -1, 0, 1, 4.

To learn more about numbers visit:

https://brainly.com/question/17429689

#SPJ4

Meada scored 24 points. If this was 4 less than the number
of points scored Jill scored, how many points did Jill score?
Define a variable. Then write an equation that could be
used to solve the problem.

Answers

Answer:

the answer is 28

Step-by-step explanation:

Maeda scored 24 points and if 4 less then jill

x is variable

x-4=24 add 4 on both sides

x=28

Given ΔRST : ΔLMN, which of the following is true? PLZZZZZZ ANSWER FOR 50 POINTS!!!!!!!!

R L
S L
S N
R M

Answers

Answer:

hope this helps you pls give me brainless.

pleasee help!!! this is geometry

Answers

Answer:

Step-by-step explanation:

F TV day job cut hv h the BBC gg was the only time I had a chance of playing it for the last night of my life lol I love you and you are ok with your such good friends I know I love it but it’s ok I’m not sure how to get it away I don’t think you can get me to type in the car.

Tommy earned $225 washing cars with his mobile car washing business. He charges $30 per appointment and earned $45 in tips, but he also has to pay $10 per appointment for water. Write an equation to represent this situation.

A.

(30 + 10)y + 45 = 225


B.

30y + 45 = 225 - 10y


C.

30y + 45y - 10y = 225


D.

(30 - 10)y + 45 = 225

Answers

An equation representing this situation where Tommy earned $225 washing cars per appointment charge of $30 and tips of $45 while paying $10 for water per appointment is D. (30 - 10)y + 45 = 225.

What is an equation?

An equation is a mathematical statement that states that two or more mathematical expressions are equivalent or equal.

Equations depict the equality of mathematical expressions using the equation symbol (=).

The total amount earned = $225

Variable charge per appointment = $30

Tips earned = $45

Variable cost per appointment for water = $10

Contribution margin per unit = $20 ($30 - $10)

Let each appointment = y

Total earnings: 225 = (30 - 10y) + 45

Thus, the equation that represents the situation of Tommy's net earnings from washing cars is Option D.

Learn more about equations at https://brainly.com/question/2972832

#SPJ1

Please help me find the circumference of the circle!

Answers

Answer:

[tex]C=59.6902604182[/tex]

Step-by-step explanation:

The formula to calculate the circumference of a circle given the diameter is:

[tex]C=\pi d[/tex]

Substitute and solve:

[tex]C=\pi \times19=59.6902604182[/tex]
[tex]C=59.6902604182[/tex]

Since the question doesn't say to round your answer is "59.6902604182."

Hope this helps.

two families with four people in each family go to a movie theater. in how many ways can they be seated

Answers

According to probability, if both families want to sit together, they can be seated in a row a maximum of two times.

What seating configuration?

The direction that each person is facing is crucial when arranging the people.

In order to determine how many ways they can be seated in a row if both families want to sit together, imagine that two families with four members each attend a movie theatre.

Given that the arrangement is important, we will apply the permutation rule. We'll divide the remaining four into two groups of four each.

There are two different ways to arrange the groups so they can sit together.

2! = 2 * 1

2! = 2ways

To know more about probability visit:-

brainly.com/question/11234923

#SPJ4

Other Questions
11. How would you respond if you were watching a video of an obstacle course,like American Ninja? The map shows the population of enslaved people in the United States in 1790.This map helps to demonstrate whyA) certain states embraced the Virginia Plan.B) certain states opposed the idea of taxes and tariffs.C) the Articles of Confederation did not succeed.D) the New Jersey Plan proposed a strong central government. Use the Distributive Property to simplify the expression 9(2n+1) Find the value of the expression below for r= 4 and t = 2.2-r+20=r0907206040 In order to visit the Museum of Mathematics, Ascend requires `2` chaperons for every `5` students. If the school has `210` people going in total, how many students are going to the Museum? How BFS takes more memory than DFS? What order do the layers go in from oldest to youngest? A gay Soviets Union? No such thing! I do no- reduce the fraction 31524 /16206 no links or files What are the exact values of a and b ?CORRECT ANSWERPROVIDE EXPLANATION Help me pls I cant understand this at all :( its Econ I need help i dont want to go to summer school How do stars recycle matter?A. They stay on the main sequence m.B. Black holes form and recycle gas for new stars.C. Gravity pulls together gases and matter from old stars to create new ones. The owner-manager of Good Guys Enterprises obtains utility from income (profit) and from having the firm behave in a socially conscious manner, such as making charitable contributions or civic expenditures. Can you set up the problem and derive the optimization conditions if the owner-manager wishes to obtain a specific level of utility at the lowest possible cost? Do these conditions differ from the utility maximizing conditions? Brenda is a local florist and is determined to have the best roses at this years competition. She is trying to figure out a way to to grow the most fragrant roses around. She is going to increase the amount of nitrogen in the soil to see if it has any effect on the fragrance strength of her roses. Identify the IV: Identify the DV: What type of graph should she use? Lovely Lawns, Inc., intends to use sales of lawn fertilizer to predict lawn mower sales. The store manager estimates a probable six-week lag between fertilizer sales and mower sales. The pertinent data are:PeriodFertilizerSales(tons)Number ofMowers Sold(six-week lag)PeriodFertilizer Sales(tons)Number ofMowers Sold(six-week lag)11.61081.3721.3891.71031.811101.2642.012111.91152.212121.4861.69131.71071.58141.69a. Determine the correlation between the two variables. Does it appear that a relationship exists between these variables will yield good predictions? (Do not round intermediate calculations and round your answer to 3 decimal places.)r = , it appears that a (Click to select) negative positive relationship exists between these variables.b. Obtain a linear regression line for the data. (Negative values should be indicated by a minus sign. Do not round intermediate calculations and round your answers to 3 decimal places.)Y = + Xic. Predict expected lawn mower sales for the first week in August, given fertilizer sales six weeks earlier of 2 tons. (Round your answer to the nearest whole number.)Expect mowers to be sold in the first week of August. Steve wants to open a savings account. Bank A will increase the interest rate on the savings account by 1/5% after the first year he is a customer. Bank B offers an interest rate increase of 0.25% after the first year he is a customer. Which bank has the higher interest rate increase? Explain how you were able to compare the rates. i need help asap please help Which expression is equivalent to (-3) (-3)? work out the size of angle x PYTHON 3:myprogramminglabQUESTION 1 : Remove the smallest element from the set, s. If the set is empty, it remains empty.QUESTION 2: Create a dictionary that maps the first n counting numbers to their squares. Associate the dictionary with the variable squares.