I NEED HELP ON THE FIRST QUESTION ASAP!!!!!!!!

I NEED HELP ON THE FIRST QUESTION ASAP!!!!!!!!

Answers

Answer 1

Answer to question 1 is   [tex]\text{y} \le -\frac{2}{5}\text{x}+100[/tex]

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

Explanation:

The first task is to find the equation of the line through the given points in the table.

Pick any two points you want. I'll pick (0,100) and (50,80)

Determine the slope:

[tex](x_1,y_1) = (0,100) \text{ and } (x_2,y_2) = (50,80)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1}}\\\\m = \frac{80 - 100}{50 - 0}\\\\m = \frac{-20}{50}\\\\m = -\frac{2}{5}\\\\[/tex]

The slope is -2/5.

The y intercept is b = 100 because of the point (0,100)

We go from [tex]\text{y} = m\text{x}+b[/tex] to [tex]\text{y} = -\frac{2}{5}\text{x}+100[/tex]

Each point from the table is found on this line. For instance, let's check the point (140,44)

[tex]\text{y} = -\frac{2}{5}\text{x}+100\\\\44 = -\frac{2}{5}*140+100\\\\44 = -56+100\\\\44 = 44\\\\[/tex]

This confirms (140,44)

I'll let you check the other points.

------------------

Any point on the line mentioned represents a scenario where César spends all of the $50.

If he goes above the line, then he'll spend more than $50. If he goes below, he spends less than $50.

This means we want to shade the region below the boundary line [tex]\text{y} = -\frac{2}{5}\text{x}+100[/tex]

We'll replace the equal sign with a "less than or equal" sign

We arrive at [tex]\text{y} \le -\frac{2}{5}\text{x}+100[/tex] as the final answer to question 1.

Answer 2

Answer: Answer to question 1 is   =========================================================Explanation:The first task is to find the equation of the line through the given points in the table. Pick any two points you want. I'll pick (0,100) and (50,80) Determine the slope:The slope is -2/5.The y intercept is b = 100 because of the point (0,100)We go from  to Each point from the table is found on this line. For instance, let's check the point (140,44)This confirms (140,44)I'll let you check the other points.------------------Any point on the line mentioned represents a scenario where César spends all of the $50.If he goes above the line, then he'll spend more than $50. If he goes below, he spends less than $50.This means we want to shade the region below the boundary line We'll replace the equal sign with a "less than or equal" signWe arrive at  as the final answer to question 1.

Step-by-step explanation:


Related Questions

How can I find the variable for this?

Answers

Answer:

i think Pythagorean theorem

Step-by-step explanation:

c^2=a^2+b^2

The scale of a map is 2 in = 7 feet. If the map distance is 11 inches what is the actual distance.

Answers

Answer:

the answer is 38.5 feet

Step-by-step explanation:

divide 7 by two the multiply by 11

What is the standard form of the equation of the parabola with focus: (0, 7) and the vertex at the origin?.

Answers

The standard form of the equation of the parabola with focus (0, 7) and the vertex at the origin is y = 1/28 x² + 7

A parabola is a symmetrical U-shaped curve that is defined by the set of all points that are equidistant to a fixed point, called the focus, and a straight line called the directrix. In a parabolic equation, the focus and the vertex are important points that determine the shape and position of the parabola.

In the case of the parabola with focus (0, 7) and the vertex at the origin (0,0), we can use the standard form of the equation of a parabola to write its equation. The standard form of a parabola is given by:

y = a(x - h)² + k

Where (h,k) is the vertex of the parabola and a is the coefficient that determines the direction and width of the parabola. To write the equation of this parabola, we need to find the value of a.

Since the focus is (0, 7) and the vertex is (0,0), we can use the formula:

a = 1/(4f)

Where f is the distance from the vertex to the focus. In this case, f = 7. Therefore, a = 1/(4 * 7) = 1/28.

Finally, we can substitute these values into the standard form to get the equation of the parabola:

y = 1/28 x² + 7

To know more about equation here.

https://brainly.com/question/10413253

#SPJ4

Explain why you cannot factor the trinomialx² - 12x + 6
There are no factors of 6 that add up to -12
There are no factors of -12 that add up to 6.
It can be factored

Answers

The quadratic equation x² - 12x + 6 = 0 is factorized and the solution to the equations are x = 6 ± √30

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

x² - 12x + 6 = 0   be equation (1)

Now , to calculate the solution of x ,

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

Substituting the values in the equation , we get

x = 12 ± √ ( 144 ) - ( 24 ) / 2

x = 12 ± 2√30 / 2

x = 6 ± √30

Hence , the solutions to the equation are x = 6 + √30 or x = 6 - √30

To learn more about quadratic equations click :

https://brainly.com/question/25652857

#SPJ9

Please help quick!!!!

Answers

Answer:

19 and 12

Step-by-step explanation:

The rule is y = 2x - 1

If x = 10, y = 19 because 20 - 1 = 19

If y = 23, x = 12 because 24 / 2 = 12

what is 600 hours in days?

Answers

Answer: 25 days

Step-by-step explanation:

Convert the unit for 600 hours
1 day = 24 hours
divide 600 hours with 24 hours as 24 hours  = 1 day
600 ÷ 24  = 25

If an employee earns $550 in 26 hours of work, what is the unit rate at which this employee is paid? Round to the nearest cent.

Answers

Answer:

21.15  550 divided by 26 = 21.15.

Step-by-step explanation:

I did the work on my paper. =)

How can I find a variable for 20 and 25

Answers

Answer: x/20=25

Step-by-step explanation:

You'll have to take the variable and divide it by 20 to equal 25.

How you do that is by subtracting 20 from 25, then you should get x=5, which would be your answer to the problem itself.

Use a model to divide 1/3 divided 4

Answers

Answer:

first

1/3 ÷ 4

we can use the kfc mode =

k= keep the first fraction the same

f= flip the division to multication

c=change the second fraction to it's inverse

the answer will be

1/3 ÷ 4

=1/3÷4/1

=1/3×4/1

= 4/3

Answer:

Step-by-step explanation:

3/4

If y varies directly as x, and y is 12 when x is 1. 2, what is the constant of variation for this relation? 1.

Answers

The constant of variation for this relation is 10.

If y varies directly as x, we can write it as y = kx, where k is the constant of variation. This constant represents the relationship between x and y, and it determines how much y changes for a given change in x.

To find the constant of variation, we need to know the value of y and x. In this case, we are told that y is 12 when x is 1.2. Using this information, we can solve for k by dividing both sides of the equation by x:

y = kx

12 = k * 1.2

12 / 1.2 = k

k = 10

So the constant of variation is 10. This means that for every change of 1 in x, y will change by 10. In other words, if x increases by 1, y will increase by 10, and if x decreases by 1, y will decrease by 10.

To know more about constant of variation here.

https://brainly.com/question/13977805

#SPJ4

given 9x+7. evaluate the expression if x=3

Answers

Answer:

34

Step-by-step explanation:

Insert 3 in for x in the equation.

9(3) + 7

9*3 = 27

27 + 7 = 34

Answer: 34

Step-by-step explanation:

if x =3 the equation will become 9(3)+7

We multiply to get 27+7

Add to get 34

What is the length of the missing side?



A. 36
B. 37.43
C. 38
D. 39 ​

Answers

The announcement is a

Answer: I would say B.

Step-by-step explanation: why not pick B…..

Hope this help^^

2.19g+59

Evaluate the expression when g = 3

A- 3.96

B- 7.16

C- 8.34

D- 8.93

Answers

Answer:

6.57+59=65.57 (I saw that 65.57 is not on there but that is the answer)

Step-by-step explanation:

Given:

[tex]2.19g+59[/tex] when [tex]g=3[/tex].

Substitute 3 into g.

[tex]2.19(3)+59[/tex]

Solve:

[tex]6.57+59=65.57[/tex]

[tex]19.32 - 23.5[/tex]

Answers

Answer:

The answer to 19.32-23.5 is -4.18

How to solve this first order linear differential equation?

Answers

To find first-order linear differential equations solution, we have to derive the general form or representation of the solution.

With the help of the steps shown below, we can learn how to solve the first-order differential equation.

1. Reorder the terms in the given equation so that they have the form [tex]$\frac{dy}{dx}+Py=Q[/tex] where P and Q are constants or functions of the independent variable x only.

2. Integrate P (obtained in step 1) with respect to x and then put this integral as a power of e to determine the integrating factor.

[tex]$e^{\int P d x}[/tex] = IF

3. The linear first-order differential equation's two sides should be multiplied by the IF.

4. The L.H.S of the equation is always a derivative of [tex]$y \times M(x)$[/tex] i.e. L.H.S [tex]$= \frac{d(y \times I . F)}{dx}[/tex]

[tex]$d(y \times I . F) d x=Q \times I . F$[/tex]

5. In order to arrive at the solution, we simply integrate both sides with respect to x in the last step.

Therefore [tex]y \times I . F=\int Q \times I . F d x+C$,[/tex]

where C is some arbitrary constant

Similarly, we can also solve the other form of linear first-order differential equation [tex]$\frac{dy}{dx}+Py=Q[/tex] using the same steps.

P and Q are y's functions in this manner. We determine the solution, which will be, by using the integrating factor (I.F), which is

[tex]$(x) \times(I . F)=\int Q \times I . F d y+c$[/tex]

Now, to get a better insight into the linear differential equation, let us try solving some questions. where C is some arbitrary constant.

For more questions on differential equation

https://brainly.com/question/12423682

#SPJ4

The circle x2 + y2 – 18x + 8y + 48 = 0 is translated one unit right and two units down. Which is the radius and center of the translated circle?

Answers

The radius and center of the translated circle are,

Radius = 7 units

Center = (10, - 2)

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The equation of circle is,

x² + y² - 18x + 8y + 48 = 0

Now, We can simplify the equation as;

x² + y² - 18x + 8y + 48 = 0

x² - 18x + 81 - 81 + y² + 8y + 16 - 16 + 48 = 0

(x - 9)² + (y + 4)² = 49

(x - 9)² + (y + 4)² = 7²

Hence, The radius of circle = 7

And, Center = (9, - 4)

Let the center of circle after translated one unit right and two units down is, (h', k')

Hence, We get;

h' = 9 + 1 = 10

k' = - 4 + 2 = - 2

Thus, The equation of the translated circle is,

(x - 10)² + (y - (- 2))² = 7

Hence, the radius and center of the translated circle are,

Radius = 7 units

Center = (10, - 2)

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ1

8 77/80 as a decimal

Answers

Answer: 8.875

Step-by-step explanation:

8 77/88

(77 ÷ 88) + 8          

0.875   +  8                                    

8.875

what is106 inches in feet?

Answers

Converting inches to feet using the given value, we get, 106 inches is equal to 8.83 feet.

To convert inches to feet, we divide the number of inches by 12, since there are 12 inches in a foot.

So, 106 inches divided by 12 gives us:

106 ÷ 12 = 8.83 feet

Therefore, 106 inches is equivalent to 8.83 feet.

It's important to note that in the United States, Liberia, and Myanmar, feet and inches are commonly used units of length for measuring things like height and distance. While other countries may use the metric system, it's always important to make sure you're using the correct units of measurement for the context in which you're working.

To learn more about inches click here

brainly.com/question/16311877

#SPJ4


Marco's charges an additional fee for toppings, but all toppings cost the same. Kevin got pepperoni, banana peppers, and black olives on his pizza for a cost of $15.74. Brian ordered mushrooms and eggplant on his pizza and paid $14.49. Using this information, write an equation for the cost of a pizza, C, as a function of the toppings, t, ordered.

Answers

Answer: Let's use x to represent the cost of each topping. Then, the cost of a pizza with t toppings can be expressed as:

C = x * t + 15

We know that Kevin's pizza with 3 toppings cost $15.74, so we can write an equation using this information:

15.74 = 3x + 15

Solving for x, we get:

x = (15.74 - 15) / 3 = 0.74

So, each topping costs $0.74. Now we can use the information about Brian's pizza to check our answer:

14.49 = 2x + 15

Substituting x = 0.74, we get:

14.49 = 2 * 0.74 + 15

Which simplifies to:

14.49 = 1.48 + 15

This confirms that x = 0.74 is the correct cost for each topping. Therefore, the equation for the cost of a pizza as a function of the toppings ordered is:

C = 0.74t + 15

Step-by-step explanation:

pls help asap I need to get this done by tmw

Answers

Marisol keeps the account open for 12 years if Marisol deposits $5,000 in a savings account earning 5.75% simple interest per year.

What is simple interest?

It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount or borrowed amount.

Given that, Marisol deposits $5,000 in a savings account earning 5.75% simple interest per year.

Simple interest: SI = PRT

P = $5000

r = 5.75% = 0.0575

I = $8,450 - $5000 = $3450

3400 = 5000(0.0575[tex])^t[/tex]

t = 12 years

Thus, Marisol keeps the account open for 12 years if Marisol deposits $5,000 in a savings account earning 5.75% simple interest per year.

Learn more about the simple interest here:

brainly.com/question/22621039

#SPJ1

Find the age of the mammal hide to the nearest year.
Enter the correct answer.​

Answers

The age of the mammal hide is 3567 years

How do you use radioactivity  to find age?

Radioactivity can be used to determine the age of rocks, minerals, and fossils through a method called radiometric dating. This method is based on the principle that certain isotopes of elements decay at a known rate over time, producing new isotopes. By measuring the relative amounts of the original parent isotope and the newly formed daughter isotope, scientists can determine how much time has passed since the rock, mineral, or fossil was formed.

0.70 = 1 * e^-0.0001t

Take the logarithm of both sides:

log0.70 = loge^-0.0001t

-0.1549 = -0.0001t * 0.43429

t = -0.1549 / (-0.0001 * 0.43429)

t = 3566.74

Learn more about radioactivity:https://brainly.com/question/1770619

#SPJ1

please help me find x

Answers

Answer:

x = 4.5

Step-by-step explanation:

Using Pythagoras theorem,

Hyp² = Opp² + Adj²

From the question,

Hyp = 9

Adj = Opp

Since Adj = Opp

Let,

Adj = Opp = a

and,

Hyp = b

Therefore,

b² = a² + a²

9² = 2a²

Cancelling equal exponents,

2a = 9

a= 4.5

Please help!!!!!!!!!!!!!!!!

Answers

The polynomial 6x³ - 8x⁴ + 5x + 12x² - 9 in standard form is -8x⁴ + 6x³ + 12x² + 5x - 9.

How to write polynomial in standard form?

A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number.

The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on.

Hence, let's write the polynomial in standard form as follows:

6x³ - 8x⁴ + 5x + 12x² - 9

Hence, in standard form,

6x³ - 8x⁴ + 5x + 12x² - 9 = -8x⁴ + 6x³ + 12x² + 5x - 9

learn more on standard form here: https://brainly.com/question/29000730

#SPJ1

ASAP PLEASE, WHOEVER ANSWERS ALL 7 CORRECTLY AND QUICKLY WILL GET THANKS, 5 STARS, AND BRANLIEST!!!


Question 1(Multiple Choice Worth 2 points)
(Linear Functions LC)

Which of the following graphs represents a linear function?

coordinate plane with a graph drawn that passes through the points 2 comma negative 2 and 2 comma negative 1 and 2 comma 0
coordinate plane with a graph drawn that passes through the points negative 1 comma 0 and 0 comma negative 2 and 1 comma negative 4
coordinate plane with a graph that passes through the points negative 2 comma 0 and 0 comma negative 4 and 2 comma 0
coordinate plane with a graph that passes through the points negative 3 comma 0 and 0 comma negative 3 and 3 comma 0 and 0 comma 3
Question 2(Multiple Choice Worth 2 points)
(Linear Functions MC)

Which statement best explains whether the data in the following table represents a linear or nonlinear function?


x y
−4 4
−1 2.5
0 2
4 0
The table represents a nonlinear function because the graph shows a rate of change that is decreasing.
The table represents a linear function because the graph shows a rate of change that is increasing.
The table represents a nonlinear function because the graph does not show a constant rate of change.
The table represents a linear function because the graph shows a constant rate of change.
Question 3(Multiple Choice Worth 2 points)
(Linear Functions MC)

Which of the following tables represents a linear function?


x −2 −1 0 1 2
y 5 2 1 2 5

x −2 −1 0 1 2
y 5 3 1 −1 −3

x 3 3 0 3 3
y −2 −1 0 1 2

x 0 1 2 3 4
y 0 −1 2 −3 4
Question 4(Multiple Choice Worth 2 points)
(Linear Functions MC)

Which statement best explains whether the following graph represents a linear or nonlinear function?

coordinate plane with a graph that passes through the points negative 4 comma 0 and negative 2 comma negative 1 and 0 comma negative 2

The graph represents a linear function because there is a constant rate of change.
The graph represents a linear function because the rate of change is not constant.
The graph represents a nonlinear function because there is a constant rate of change.
The graph represents a nonlinear function because the rate of change is not constant.
Question 5(Multiple Choice Worth 2 points)
(Linear Functions LC)

Which of the following equations represents a linear function?

2x − 4 = 6
x = −2
y equals one half times x squared
y equals two thirds times x plus 4
Question 6(Multiple Choice Worth 2 points)
(Linear Functions MC)

Which statement best explains whether the equation y = 3x2 represents a linear or nonlinear function?

The equation represents a linear function because it has an independent and a dependent variable, each with an exponent of 1.
The equation represents a linear function because its graph contains the points (−1, 3), (0, 0), and (1, 3), which are on a straight line.
The equation represents a nonlinear function because it has an independent and a dependent variable, each with an exponent of 1.
The equation represents a nonlinear function because its graph contains the points (−1, 3), (0, 0), and (1, 3), which are not on a straight line.
Question 7(Multiple Choice Worth 2 points)
(Linear Functions MC)

Which statement best explains whether the following table represents a linear or nonlinear function?


x −2 −1 0 1 2
y −4 −2 0 2 4
The table represents a nonlinear function because there is not a constant rate of change in the input values.
The table represents a nonlinear function because there is not a constant rate of change in the output values.
The table represents a linear function because there is a constant rate of change in the input and output values.
The table represents a linear function because there is not a constant rate of change in the input and output values.

Answers

Answer:

Step-by-step explanation:

1) = b im doing  the test.

2)=The correct option is C) A coordinate plane is shown with a line crossing through the y axis at negative 3 and the x axis at 2.

3) its a

4)b

Please help me out I'm having trouble ​

Answers

The correct statement regarding the similarity of the circles is given as follows:

A. Circle 1 is always similar to circle 2.

What is a dilation?

A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.

Two circles are similar when one circle is a dilation of the other circle, and in this problem, we have that:

Circle 1 is a dilation of Circle 2 with a scale factor of 2.Circle 2 is a dilation of Circle 1 with a scale factor of 1/2.

Hence the two circles are always similar and option a is correct.

More can be learned about dilation at brainly.com/question/3457976

#SPJ1

Please help with the question in the image

Answers

The measure of arc FB is 68 degrees.

What is Circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

In the given circle BE is a semicircle

The measure of arc FC is 104 degrees.

We need to find the measure of arc FB

From the figure the measure of arc BC is 36 degrees

FC=FB+BC

104=36+FB

Substitute 36 from both sides

104-36=FB

68 degrees =FB

Hence, the measure of arc FB is 68 degrees.

To learn more on Circles click:

https://brainly.com/question/11833983

#SPJ1

Is 6z-2z+4 and 4+2z-6z simply

Answers

6z-2z+4 4+2z-6z

4z+4 4-4z

No

Limosine Company P charges a rental fee plus an additional charge per hour. The equation y = 50 + 30x shows the total cost, y of renting the limosine, and the x represents the hours. The cost to rent a limosine from Company R is shown below in the table. Which statement is true?



A
Company R charges less money for 1 hour of service compared to Company P.

B
Company P has a lower rate of change than Company R.

C
Company P charges $25 more for its rental fee compared to Company R.

D
Company R charges a higher rental fee, but a cheaper rate of change to rent a limosine.

Answers

The correct statement is -

company {R} charges less money for 1 hour of service compared to company {P}.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given is that Limousine Company {P} charges a rental fee plus an additional charge per hour. The equation {y} = 50 + 30x shows the total cost. The cost to rent a limousine from Company {R} is shown below in the table as -

Time :   1       2        3         4       5

Cost : $100  $125  $150  $175  $200

We can write the unit charge for company {P} as -

{r₁} = $30

We can write the unit charge for company {R} can be calculated as -

{r₂} = (125 - 100)/(2 - 1)

{r₂} = $25

We can conclude -

company {R} charges less money for 1 hour of service compared to company {P}.

Therefore, the correct statement is -

company {R} charges less money for 1 hour of service compared to company {P}.

To solve more questions on functions & expressions, visit the link below

brainly.com/question/17613163

#SPJ9

In science class, Mr. Brodell's students were directed to weigh a 400- gram mass on the balance scale. Erika weighed the object and reported 420 grams . What is the percent error of the weight of Erika's object

Answers

The percent error of the weight of Erika's object is given as follows:

5%.

How to obtain the percent error?

The percent error is obtained applying the proportions in the context of the problem.

A proportion is applied as the percent error is calculated as the division of the error by the actual amount, divided by 100%.

The parameters for this problem are given as follows:

Error: 420 - 400 = 20 grams.Actual amount: 400 grams.

Hence the percent error is given as follows:

20/400 x 100% = 5%.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

SOMEONE PLS HELP FASTT

pic below

Answers

Answer:

the correct answer is Tim

Other Questions
Janna wants to make s'mores at a backyard campfire. The table below shows the parts of marshmallows to graham crackers to make s'mores. S'mores Marshmallows Graham Crackers 4 8 12 13 At this rate, how many marshmallows and graham crackers will Janna use to make 13 s'mores? Janna will use 17 marshmallows and 21 graham crackers to make 13 s'mores. Janna will use 26 marshmallows and 39 graham crackers to make 13 s'mores. Janna will use 16 marshmallows and 24 graham crackers to make 13 s'mores. Janna will use 39 marshmallows and 26 graham crackers to make 13 s'mores. How did the value offarm products comparewith that of industrialproducts and oil inTexas in 1920? what is the name for incomplete remnants of osteons? What is the synonyms for passion? Line a is parallel to line b. If themeasure of 27 is 114, what is themeasure of 41?213465114= 78ab Jerold had $20 to spend at thecounty fair. Admission was $7and the rides cost $0.50 each.How many rides Jerold can go on? TRUE/FALSE. Question 4 sophisticated use of contrast helps separate the most important data from the rest using the visual context that our brains naturally respond to. Find the equation of a line perpendicular to -3x + y = -5 thatpasses through the point (9,5).-x-3y = -24-3x + y = -22y=x+8y=-3x -5 what led to a decrease in power of the Catholic Church during the 15th century?(odyssey)a. The monarchy completely took over the Catholic Church and did not permit Catholicism to continueb. The Crusades caused many Catholics to turn to Islamc. There were internal conflicts within the Catholic Churchd. Religion was practiced less due to the need for increased labor Is Med-Surg unit hard? I can't figure out the rest of this, please help!! Describe one public health topic from the American Public Health Association website that youd like to learn more about. The profit motive drives business owners to A. protect the private property rights of those who consume their goods. B. see that the principle of open opportunity applies to all Americans. C. make sure their firm is operating at its highest level of efficiency. D. develop incentives for their employees to work fewer hours each week. Read this sentence from Silent Spring.Along the roads, laurel, viburnum and alder, great ferns and wildflowers delighted the traveler's eye through much of the year.Read the excerpt from "A Case for Waawaatesi."It turns out that being dark part of the time is a good idea for animals, and for ourselves. Thats the way its supposed to be.Which best states a comparison of the tones used in these excerpts?Both excerpts are negative, but the second excerpt has a more negative tone.Both excerpts are positive, but the first excerpt has a more serious tone.Both excerpts are despairing, but the first excerpt has a gloomier tone.Both excerpts are uplifting, but the second excerpt is more conversational in tone. TEXT ANSWERQuestion 7Are the sides proportional?Set up each ratio of sides and determine if they are equal ratios. Show all of your work.3.61 cmR4411.97 cm9.71 cmNT17.955 cm14.565 cm121M445.415 cm Describe the values needed to create a box plot Four girls (Barbara, Donna, Cindy, and Nicole) ran in a relay race as a team. Each girl ran one part of the race. The team's total time was 11 & 3/5 minutes. What was Cindy's time? (IM GIVING 40 POINTS!!!!)Barbaras time: 3 & 3/10 Donna's time:2 & 4/5Cindy's time: Find outNicole's time: 2 & 1/10 At a local fast food restaurant, a regular drink costs $2.25. A larger drink can be purchased for an additional $0.25 per ounce above the regular size.If n represents the number of ounces above the regular size, which inequality shows how much can be added to the regular size for a drink that costs under $4.00? fill in the blank. a graphical user interface (gui) allows users to interact with the computer via___elements on the screen that include windows, icons, menus, and buttons. select your answer, then click done. A cost that changes in proportion to changes in volume of activity is a(n):