Find the marginal revenue curve under monopoly market. 1. When the demand curve is P = -5Q + 25, the Marginal Revenue curve is MR = Q+ 2. When the demand curve is P = -0.5Q + 12, the Marginal Revenue curve is MR = Q +

Answers

Answer 1

The marginal revenue curves for the given demand curves are: MR = -0.5  Q + 12 In a monopoly market, the marginal revenue curve is always below the demand curve. This is because a monopolist can only increase their revenue by decreasing the price of their product, and therefore they must lower the price for all units sold, not just the last one.

For the first demand curve, P = -5Q + 25, the marginal revenue curve can be found by taking the derivative of the demand curve with respect to Q. This gives us:

MR = dP/d Q = -5

So the marginal revenue curve is a horizontal line at MR = -5. Adding the intercept of the demand curve at P = 25, we get:

MR = -5Q + 25

For the second demand curve, P = -0.5Q + 12, the marginal revenue curve can be found in the same way:

MR = dP/dQ = -0.5

So the marginal revenue curve is a horizontal line at MR = -0.5. Adding the intercept of the demand curve at P = 12, we get:

MR = -0.5Q + 12

Learn more about marginal here:

https://brainly.com/question/30529566

#SPJ11


Related Questions

12. Jenny's water bottle holds 1.3 liters of water. How many milliliters of water does the water bottle hold? milliliters​

Answers

Answer:

1300 milliliters

Step-by-step explanation:

There are 1000 milliliters in one liter. so 1.3 liters would be 1300. 1.3 x 1000 = 1300.

a food shop offers 5 different sandwiches and 8 different drink choices. how many choices are possible for a single sandwich and a drink?

Answers

Answer:

Step-by-step explanation:

5

Can someone help me a little so I can learn this

Answers

Answer:b

Step-by-step explanation:

Answer:

b and c

Step-by-step explanation:

b 5(7+6s—9t)

35+30s—45

c 10×(3.5+3s—4.5t)

10×3.5 +10×3s—10×4.5t

35+30s—45t

A brick layer has 20 stacks with an equal number of bricks on them. If the total weight of all the bricks is 3,264 pounds, how much does each stack of bricks weigh?
A.
162.1 pounds
B.
164.1 pounds
C.
162.2 pounds
D.
163.2 pounds

Answers

each stack of bricks weighs 163.2 pounds. So the answer is D) 163.2 pounds. we need to form equation to solve this

what is equation  ?

An equation is a mathematical statement that shows the equality between two expressions. It consists of two sides, a left-hand side (LHS) and a right-hand side (RHS), that are separated by an equal sign (=). An equation tells us that the expressions on both sides have the same value or are equivalent.

In the given question,

If there are 20 stacks with an equal number of bricks on them, let's call the number of bricks on each stack "x". Then the total number of bricks is:

total number of bricks = 20 stacks × x bricks/stack = 20x bricks

We are also told that the total weight of all the bricks is 3,264 pounds. Let's call the weight of each brick "w". Then the total weight is:

total weight = number of bricks × weight per brick = (20x) bricks × w pounds/brick

We want to find the weight of each stack of bricks, which is equal to the weight of a certain number of bricks. Let's call this weight "s". Then we have:

s pounds/stack = x bricks/stack × w pounds/brick

We can solve for "s" by using the two equations above:

total weight = (20x) bricks × w pounds/brick = 3,264 pounds

s pounds/stack = x bricks/stack × w pounds/brick

Dividing the first equation by 20x, we get:

w pounds/brick = 3,264 pounds ÷ (20x) bricks/stack = 163.2 pounds/stack

Substituting this into the second equation, we get:

s pounds/stack = x bricks/stack × 163.2 pounds/stack

Dividing both sides by x, we get:

s pounds/stack ÷ x bricks/stack = 163.2 pounds/stack

Simplifying, we get:

s pounds/brick = 163.2 pounds/stack

Therefore, each stack of bricks weighs 163.2 pounds.

So the answer is D) 163.2 pounds.

To know more about equation , visit:

https://brainly.com/question/29538993

#SPJ1

Find the area of the circle. Round your answer to the nearest hundredth. Use $3.14$ or $\frac{22}{7}$
for $\pi$ .

area: about
ft2

Answers

The area of the given circle is  1.76625 square feet.

How to find the area of the circle?

Remember that the area of a circle of radius R is given by the formula:

A = pi*R²

Where pi = 3.14

Here we know the diameter (2 times the radius) of the circle, which is 1.5ft, then the radius is:

R = 1.5ft/2 = 0.75ft

Then the area of the circle is:

A = 3.14*(0.75ft)²

A = 1.76625 ft²

Learn more about area at:

https://brainly.com/question/24487155

#SPJ1

HELPPP ASAPPPPP What is the surface area of the square pyramid represented by the net?



Enter your answer in the box.


Answers

Answer:

  144 m²

Step-by-step explanation:

You want to know the surface area of a square base pyramid with a side length of 6 m and a slant height of 9 m.

Surface area

The area of the given net is the sum of the areas of 4 congruent triangles and one square. The areas of these can be found using the relevant formulas.

  SA = square area + 4 × triangle area

  SA = 6² + 4 × 1/2(6)(9) = 36 +108

  SA = 144 . . . . square meters

__

Additional comment

The area of a square of side s is A = s².

The area of a triangle with base b and height h is A = 1/2bh.

SARA WANTS TO SAVE $1600 IN 8 MONTHS, HOW MUCH DOES SARA NEEEDS TO SAVE MONTHLY?

Answers

Answer:

$200

Step-by-step explanation:

Just divide 1600 by 8

1600 ÷ 8 = 200

Answer:

sara needs to save 200 monthly

Step-by-step explanation:

i just divided 1600 by 8.

hope u have a great day!!

[tex]7\sqrt[3]{7}-\sqrt[3]{128}[/tex]

Answers

The expression 7∛7 - ∛128 is: 49∛7 - 8∛2.

What is the expression?

We can simplify this expression using the fact that ∛(a * b) = ∛a * ∛b and ∛(a^3) = a.

First, let's factor ∛128 into prime factors: ∛128 = ∛(2^7) = 2 * ∛(2^5) = 2 * ∛(32).

Next, we can simplify 7∛7 as much as possible:

7∛7 = ∛(7^3) * ∛7 = 7∛(7^2) * ∛7 = 7 * 7∛7.

Now we can substitute these simplifications into the original expression:

7∛7 - ∛128 = 7 * 7∛7 - 2 * ∛32

We can simplify ∛32 as follows:

∛32 = ∛(2^5) = 2 * ∛(2^2) = 4∛2

Now, we can substitute this back into the expression:

7 * 7∛7 - 2 * ∛32 = 7 * 7∛7 - 2 * 4∛2

= 49∛7 - 8∛2

So the simplified expression is 49∛7 - 8∛2.

Learn more about expression  here:https://brainly.com/question/1859113

#SPJ1

Find the equation of the line that is perpendicular to the line AB and passes through the point. (0,2)

Answers

The equation of a line perpendicular to line AB and passing through point (0,2) is y = -4x + 2.

The given line has a slope of 1/4, so the slope of any line perpendicular to it will be -4 (the negative reciprocal).

Using the point-slope form of a line, we can write the equation of the line passing through the point (0,2) with slope -4 as

y - 2 = -4(x - 0)

Simplifying, we get

y - 2 = -4x

Adding 2 to both sides, we get

y = -4x + 2

Therefore, the equation of the line passing through the point (0,2) which is perpendicular to the line y=1/4x+5 is y = -4x + 2.

To know more about Equation of line:

https://brainly.com/question/21511618

#SPJ1

The histogram below shows the results of a survey on the number of traffic tickets received by a random group of drivers. 3 86 76 51 Number of People A 1 9 2 Traffic Tickets 10 8 6 Number of Traffic Tickets Step 6: How many people received either 4 or 5 traffic tickets? 12​

Answers

In reference to the given histogram, an absence of bars signifying either 4 or 5 traffic tickets implies that no one from the selection had accumulated this amount.

How to explain the histogram

It should be noted that to make sure our point is accurate, we can sum the heights of the separate bars for 3, 6 and 8 tickets which demonstrate the total people included within the survey who have acquired the relevant number of traffic citations.

The height of the bar for three violations measures out at 1.

Conversely, a measurement of 2 denotes the bar for six infringements.

An assessment of 1 has been given to the bar with regards to eight offences.

Due to the lack of representation mentioned in the histogram concerning both 4 and 5 transgressions, it confirms our inference: nobody from the selection received four or five traffic tickets.

Learn more about histogram on

https://brainly.com/question/2962546

#SPJ1

Randy is designing a circular garden that is 18 feet in diameter. He is buying plastic edging that costs $1. 50 per foot. He can only buy edging in whole-foot amounts. How much does it cost Randy to buy edging for his garden? Use 3. 14 for pie.

Answers

If the diameter of circular-garden is 18 feet, then it will cost Randy an amount of $85.50 to buy edges for his garden.

The "Circumference" of circle is defined as the "total-length" of the boundary or the outer edge of the circle.

The circumference formula is : Circumference = π × Diameter,

The "diameter" of garden is = 18-feet,

So, Circumference = 3.14 × 18 = 56.52 feet,

Since, Randy needs to buy plastic-edging to cover the entire circumference of garden, he needs to buy 56.52 feet of edging.

We know that, Randy can only buy edging in whole-foot amounts,

So, rounding up to the nearest whole foot, we get 57 feet,

The cost of edging is = $1.50 per foot,

So, "total-cost" for Randy to buy edging for his garden is,

⇒ Total Cost = (Cost per foot) × (Number of feet),

⇒ $1.50 × 57,

⇒ $85.50

Therefore, it will cost Randy $85.50 to buy edging for his circular garden.

Learn more about Circumference here

https://brainly.com/question/16125353

#SPJ4

16^5+16^4 is divisible by 17

Answers

Yes, it is divisible by 17.

Given that,

165 + 161

is divisible by 17.

According to the question,

To determine 165 + 161

is divisible by 17 following all the steps given below.

Rewrite the function and solving,

= 16° + 161

= 16 x 16 x 16 x 16 × 16 + 16 × 16 × 16 × 16 × 16

= 1048576 + 65536

= 68, 719, 476, 736

Therefore,

68, 719, 476, 736
17
= 4, 042, 322, 160.94
Hence, Yes it is divisible by 17.

Chipwich Summer Camp surveyed 100 campers to determine which lake activity was their favorite. The results are given in the table.


Lake Activity Number of Campers
Kayaking 15
Wakeboarding 11
Windsurfing 7
Waterskiing 13
Paddleboarding 54


If a circle graph was constructed from the results, which lake activity has a central angle of 54°?
Kayaking
Wakeboarding
Waterskiing
Paddleboarding

Question 12

A recent conference had 750 people in attendance. In one exhibit room of 70 people, there were 18 teachers and 52 principals. What prediction can you make about the number of principals in attendance at the conference?

There were about 193 principals in attendance.
There were about 260 principals in attendance.
There were about 557 principals in attendance.
There were about 680 principals in attendance.

Answers

The activity with a central angle of 54° is Kayaking and there were about 557 principals in attendance based on the prediction

The activity with a central angle of 54°

The formula to calculate the central angle for an activity is:

central angle = (number of campers for the activity / total number of campers) x 360°

Using this formula, we can calculate the central angle for each activity:

Kayaking: (15/100) x 360° = 54°

Wakeboarding: (11/100) x 360° = 39.6°

Windsurfing: (7/100) x 360° = 25.2°

Waterskiing: (13/100) x 360° = 46.8°

Paddleboarding: (54/100) x 360° = 194.4°

Therefore, the activity with a central angle of 54° is Kayaking.

Predicting the number of principals in attendance at the conference?

To make a prediction about the number of principals in attendance at the conference, we can assume that the proportion of principals in the exhibit room is similar to the proportion of principals in the whole conference.

In the exhibit room, out of 70 people, 52 were principals.

So, the proportion of principals in the exhibit room was 52/70

We can predict the number of principals in attendance at the conference as follows:

Number of principals = proportion of principals x total number of attendees

If we plug in the values, we get:

number of principals = 52/70 x 750 = 557

So, based on this prediction, we can say that there were 557 principals in attendance at the conference.

Read more about proportion at

https://brainly.com/question/1781657

#SPJ1

Help, please, is for today.​

Answers

Answer:

Measure of angle 2= 62 degrees

Step by Step:

The ratio of the angles is 1:2

So you add 1+2=3

Then divide 102/3, which equals 34

Finally multiply 34*2 to get 68

the mesures of two suplementary angles are (1/2x) and (x+30) betermine te value of x

Answers

Answer:

x = 100

Step-by-step Explanation:

Supplementary angles add up to 180 degrees, so we can set up the equation:

(1/2x) + (x + 30) = 180

To solve for x, we can start by simplifying the left side of the equation by combining the terms:

(1/2x) + x + 30 = 180

Multiplying both sides of the equation by 2 to eliminate the fraction:

1x + 2(x + 30) = 360

Simplifying the right side of the equation:

1x + 2x + 60 = 360

Combining like terms:

3x + 60 = 360

Subtracting 60 from both sides of the equation:

3x = 300

Dividing both sides of the equation by 3:

x = 100

Therefore, the value of x is 100.

Further explanation:

Supplementary angles are two angles whose sum is 180 degrees. Let's use this fact to form an equation with the given measures:

(1/2x) + (x+30) = 180

To solve for x, we need to isolate it on one side of the equation. Let's start by simplifying the left side:

1/2x + x + 30 = 180
3/2x + 30 = 180
3/2x = 150
x = 100

Therefore, the value of x is 100. To check this result, we can substitute x=100 into the original measures:

(1/2x) = 50
(x+30) = 130

And indeed, 50 and 130 are supplementary angles whose sum is 180.

Suppose 15% of x equals 20% of y. What percentage of x is y?


A 5

B 35

C 75

D 133 1/3

E 300

Answers

If 15% of "x" is 20% of "y", then "y" is 75 percent of "x", the correct option is (c).

The "Percentage" is defined as a way to express the proportions or rates in terms of a "relative-scale" out of 100,

We know that, 15% of "x" equals 20% of "y".

Mathematically, this can be expressed as,

0.15x = 0.20y,           ...because 15% = 0.15 and 20% = 0.20;

To find what percentage of x is y, we need to express "y" as a percentage of "x".
On solving further,

We get,

⇒ 0.15x = 0.20y,

⇒ y = (0.15x)/0.20,

⇒ y = 0.75x

It is read as "y" is read as 75% of "x".

Therefore, "y" is 0.75 times "x", or 75% of "x", Option(c) is correct.

Learn more about Percentage here

https://brainly.com/question/19733442

#SPJ4

Find the value of x and y in each triangle

Answers

Answer:

x=4 y=3

Step-by-step explanation:

because y=3 and x=4

Marcellus and Anika are playing a video game where they earn 35 stars for each level they pass. Which equation represents the total number of stars earned, y, for passing x levels?

Answers

The equation represents the total number of stars is y = 35x

Which equation represents the total number of stars

The equation that represents the total number of stars earned, y, for passing x levels would be:

y = 35x

where y represents the total number of stars earned, and x represents the number of levels passed.

For example, if Marcellus and Anika passed 10 levels, they would earn:

y = 35(10) = 350 stars

Read more about linear equations at

https://brainly.com/question/18831322

#SPJ1

Find the value of x. If a segment looks like a tangent, it is a tangent.

Answers

We got x = 149.53 by using Pythagorean theorem.

What is the Pythagorean theorem in plain English?According to Pythagoras's Theorem, the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides.Perpendicular, Base, and Hypotenuse are the names of this triangle's three sides.

angle of semicircle is always be 90°.

[tex]172^2=85^2+x^2[/tex]

[tex]29584=7225+x^2[/tex]

[tex]x^2=29584-7225[/tex]

[tex]=22359[/tex]

[tex]x=\sqrt{22359}[/tex]

[tex]\boxed{\bold{x=149.53}}[/tex]

Learn more about Pythagorean theorem:

brainly.com/question/14930619

given the vertex at (-4, 5) and a-value of 5, write the vertex form of the quadratic equation.

Answers

The vertex form of a quadratic equation is y = a(x-h)^2 + k, where (h,k) is the vertex.

To write the vertex form of a quadratic equation given the vertex (-4, 5) and a-value of 5, you can use the vertex form equation:

y = a(x - h)² + k

where (h, k) is the vertex and a is the a-value.

In this case, h = -4, k = 5, and a = 5. Substitute these values into the equation:

y = 5(x - (-4))² + 5

Simplify the equation:

y = 5(x + 4)² + 5

So, the vertex form of the quadratic equation is:

y = 5(x + 4)² + 5

Learn more about quadratic equation here: brainly.com/question/30098550

#SPJ11

The vertex form of the quadratic equation is: y = 5[tex](x + 4 )^2[/tex] + 5

A quadratic equation's vertex form is provided by:

y = a[tex](x - h)^2[/tex] + k

where "a" is the coefficient of the parabola and "(h, k)" is its vertex [tex]x^2.[/tex]

Given that the vertex is (-4, 5) and a-value is 5, we can substitute the values into the vertex form equation:

h = -4

k = 5

a = 5

When we enter these numbers into the equation, we obtain:

y = 5(x -[tex](-4) ^2[/tex] + 5

Simplifying the equation, we get:

y = 5[tex](x + 4)^2[/tex] + 5

So, the vertex form of the quadratic equation is:

y = 5[tex](x + 4 )^2[/tex] + 5

Learn more about “  quadratic equation “ visit here;

https://brainly.com/question/30098550

#SPJ4

Question 9(Multiple Choice Worth 2 points)
(Creating Graphical Representations LC)

A teacher was interested in the subject that students preferred in a particular school. He gathered data from a random sample of 100 students in the school and wanted to create an appropriate graphical representation for the data.

Which graphical representation would be best for his data?

Stem-and-leaf plot
Histogram
Circle graph
Box plot

Answers

Histogram is the ideal type of graphic to depict the data from the school's random sample of 100 students.

Explain about the Histogram:

A histogram is a representation of statistical data that makes use of rectangles to illustrate the frequency of dataset in a series of equal-sized numerical intervals.

The independent variable is represented is along horizontal axis and indeed the dependent variable is plotted along of the vertical axis in the most popular type of histogram.A histogram is a type of bar graph that displays how frequently something occurs over a range of time. Histograms compare a variety of data, as opposed to bar graphs, which compare defined amounts.

Given that-

The most efficient sort of graphic to show the data would be a histogram.A histogram is an illustration of a graph that shows the proportion of data points within such a range of values.It is a useful tool for showing data distribution and also can aid in the identification of trends and patterns.The best sort of graph to use is a histogram because it displays the frequency of data points.

Thus, Histogram is the ideal type of graphic to depict the data from the school's random sample of 100 students.

Know more about the Histogram

https://brainly.com/question/28164315

#SPJ1

Question 10(Multiple Choice Worth 5 points)

(Identifying Functions LC)

The graph represents a relation where x represents the independent variable and y represents the dependent variable.

a graph with points plotted at negative 5 comma 1, at negative 2 comma 0, at negative 1 comma 3, at negative 1 comma negative 2, at 0 comma 2, and at 5 comma 1

Is the relation a function? Explain.

No, because for each input there is not exactly one output.
No, because for each output there is not exactly one input.
Yes, because for each input there is exactly one output.
Yes, because for each output there is exactly one input.

Answers

Is the relation a function:

No, because for each input there is not exactly one output.

How to know if the relation is a function

To determine if the relation is a function, we need to check if there is exactly one output for each input.

Looking at the given set of points, we see that there are two points with an x-coordinate of -1: (-1, 3) and (-1, -2).

This means that there are two outputs for the same input, so the relation is not a function.

Therefore, the correct answer is: "No, because for each input there is not exactly one output."

Learn more about graphs at

https://brainly.com/question/19040584

#SPJ1

you need to answer every question and you get 25pts and brainliest ​

Answers

Using probability, we can find the following:

a. In the figure.

b. The probability that the first set is green is = 0.8

c. Probability that the second set is green is = 0.06

d. The probability that both the sets are green is = 0.48

e. The probability that at least one set is green is = 0.86

Define probability?

The likelihood that an event will occur is described by probability. There are many circumstances in real life where we may need to foresee how something will turn out. We might be able to predict the outcome of an event or we might not. At this point, we say, "There is a chance that the event will happen or not."

Here in the question,

b.

The probability that the first set is green is:

P = 1 - 0.2

= 0.8

c.

Now the first set is given as not green.

Probability that the second set is green is:

p = 0.2 × 0.3

= 0.06

d.

Now probability that both the sets are green is:

P = 0.8 × 0.6

= 0.48

e.

When both the sets are not green, probability is:

0.2 × 0.7

= 0.14

So, probability that at least one set is green is:

P = 1- 0.14

= 0.86

To know more about probability, visit:

https://brainly.com/question/16484393

#SPJ1

Just look at the photo and anything you can help me with wi be much appreciated

Answers

(been awhile since i've done this but i'm pretty certain on these)

10.
a.
120*0.60=72
120+72=192
answer: 192

b.
192*0.30=57.60
192-57.60=134.40
answer: 134.40

c.
134.40-120= 14.40
the store made $14.40 on the bicycle

11.
147*0.75=110.25
147-110.25=36.75
answer: 36.75

12.
a.
60*0.06=3.60
60+3.60= 63.60
answer: 63.60

b.
60*0.15=9
60-9=51
answer: 51

c.
51*0.06=3.06
51+3.06=54.06
answer: 54.06

Find the x- and y-intercepts of the graph of -x + 2y = 30. State each answer as an integer or an improper fraction in simplest form.

Answers

Thus, the value of the  x- and y-intercepts for the given linear equation is (-30, 0) and (0, 15)

Explain about the x- and y-intercepts:

A nonlinear function's intercepts can be defined algebraically or graphically. The points on a graph where a nonlinear function crosses both x and y axes are known as the intercepts.

The terms "y-intercept" and "x-intercept" both refer to the values at the places where the graph crosses the y-axis and the x-axis, respectively.Keep in mind that x is zero at the y-intercept and y is zero at the x-intercept. According to algebra, a function's y-intercept is its value when x equals zero, and its x-intercept is its value when y equals zero.

Given that-

linear equation:  -x + 2y = 30

x-intercept: It occurs when y = 0,

-x + 2(0) = 30

-x = 30

x = -30

y-intercept: It occurs when x = 0,

-0 + 2y = 30

2y = 30

y = 15

Thus, the value of the  x- and y-intercepts for the given linear equation is (-30, 0) and (0, 15).

know more about the x- and y-intercepts

https://brainly.com/question/24363347

#SPJ1

convert 180⁰ in to grades​

Answers

Answer: 9/10

Step-by-step explanation:

An angle measures 56.8° less than the measure of its complementary angle. What is the
measure of each angle?

Answers

Let x be the measure of the angle in degrees.

We know that the measure of its complementary angle is 90 - x degrees.

According to the problem, the angle measures 56.8 degrees less than its complementary angle.

So:

x = (90 - x) - 56.8

Solving for x:

2x = 90 - 56.8

2x = 33.2

x = 16.6

Therefore, the angle measures 16.6 degrees and its complementary angle measures 73.4 degrees.

please help needed like rn

Answers

An equation in slope-intercept form for the line shown in the graph is x = -1.

How to determine an equation of this line?

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

m represent the slope.x and y represent the points.

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (0 - 3)/(-1 + 1)

Slope (m) = -3/0

Slope (m) = 0.

At data point (-1, 3) and a slope of 0, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 3 = 0(x - (-1))

y - 3 = 0

y = 3.

Read more on point-slope here: brainly.com/question/24907633

#SPJ1

What is the solution to the inequality -0.4x 1.27> 0.8

Answers

Answer:

x < 1.175

Step-by-step explanation:

-0.4x + 1.27 > 0.8

-0.4x > -0.47

x < 1.175

how do i solve this??

Answers

For the first one you have to figure out what x equals.
Other Questions
The active elements of the fractal computation are the pixels.true/false Under the Americans with Disabilities Act, colleges are legally obligated to provide services and resources for students with disabilities. Accommodations that may be made for students with disabilities include transcribing lectures, extended time for tests, and taking oral tests. Reactions tend to run to completion if a producta. Has a high melting point. b. Is precipitated as a solidc. Is a liquidd. Is ionic What did the English call the war during the Winter of 1939-40?? Dascha is making a decorative table to sell at a fair. The cost of her materials is $80. If the table sells for $150, what is the percent of markup? The reader can assume stories from the past -A scared children to be goodB only centered around a moralC were not very excitingD will soon be unpopular Determine the line of reflection. Reflection across the x-axis Reflection across the y-axis Reflection across x = 5 Reflection across y = 6 Use point-slope form to write the equation of a line that passes through the point (16,14) with slope 1. how many years elapsed between the origins of oxygenic photosynthesis and the presence of substantial amounts of oxygen in earth's atmosphere? Question 5How often should refuse he compacted during the average work day?a. every hourb. continuallyc. every two hoursd. at the end of the day There are three angles measured in degrees of a triangle where x is the largest angle, y is the middle angle, and z is the smallest angle. The measure of the largest angle is 40 degrees less than twice the sum of the measure of the other two angles. The measure of the largest angle is twice the smallest angle plus 10 degrees. The sum of the angles of a triangle can be written as x + y + z = 180. What are the other equations that represent this system of equations? Select each correct answer.a.) x=2y+10b.) x=2z+10c.) x=40-2(y+z)d.) x=2z+y-40e.) 2(y+z)-40 Is the event independent or dependent? You toss a penny and you toss adime.O dependentO independent perry como fans fifty-six percent of respondents to an online poll said that they were perry como fans. if 982 randomly selected people responded to this poll, what is the true proportion of all local residents who are perry como fans? estimate at the 95% confidence level. Find the quotient. Assume that no denominator has a value of 0. (6x-24)x^2-16/6x Question 11Degradation of groundwater supplied by human-generated pollutants is generally the result of:a. Failure to cover the water supplyb. Failure to adequately chlorinate the waterc. Faulty waste disposal practicesd. Allowing industry exceptions to safe water practices Question 9(Multiple Choice Worth 2 points)(Creating Graphical Representations LC)A teacher was interested in the subject that students preferred in a particular school. He gathered data from a random sample of 100 students in the school and wanted to create an appropriate graphical representation for the data.Which graphical representation would be best for his data?Stem-and-leaf plotHistogramCircle graphBox plot A circle has a center of (1, -1). The circumference passes through (1, 2). Find the length of the circumference of the circle. Use 3.14 for pi. Then, Find the area of the circle. A Ray's pizza party each pizza was cut into 8 slices. There were 7 groups of children. Each group ate 2\frac{1}{2} pizzas. How many pizzas were eaten at the party in all? The cardiac centers of the medulla oblongata respond to changes in __________ and in the arterial concentrations of dissolved oxygen and carbon dioxide. Project STAR: does classroom size have an effect on learning in children? Results