What’s the horizontal line and vertical line?-use X=blank and Y=blank.

Whats The Horizontal Line And Vertical Line?-use X=blank And Y=blank.

Answers

Answer 1

Answer:

Part 1) Vertical line : [tex]x=1[/tex]

Part 2) Horizontal line :  [tex]y=-4[/tex]

Step-by-step explanation:

Part 1) Write the equation for the vertical line passing through the point (1,-4)

we know that

The equation of a vertical line (parallel to the y-axis) is equal to the x-coordinate of the point that passes through it

so

The x-coordinate is 1

therefore

The equation of the line is

[tex]x=1[/tex]

Part 2) Write the equation for the horizontal line passing through the point (1,-4)

we know that

The equation of a horizontal line (parallel to the x-axis) is equal to the y-coordinate of the point that passes through it

so

The y-coordinate is -4

therefore

The equation of the line is

[tex]y=-4[/tex]


Related Questions

(4, 1) and (6,7)what is the slope ​

Answers

Answer:

3

Step-by-step explanation:

[tex]m = \frac{y}{x} = \frac{7 - 1}{6 - 4} = \frac{6}{2} = 3[/tex]

Find the missing sides

Answers

Answer:

90-30=60

Step-by-step explanation:

Was

Answer:

hypotenuse is 6 square root of 3 and short leg is 3 square root of 3

Step-by-step explanation:

Simplify. 10/27 divided by 5/9​

Answers

Answer:

2/3   or 0.6

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

According to the question,10/27÷5/9

So we will have to be careful when solving this kind of question

So let's solve

10/27÷5/9

To solve we will have to convert the division to multiplication and during this process the 5/9 will actually change to 9/5

10/27×9/5

If you calculate it well,you will get

2/3

Which means that the final answer is 2/3 since it cannot be solved further

So 10/27÷5/9 gives 2/3

Big Ben a famous clock tower London , England . The diameter of the clock face 23 feet . Find the circumference of the clock face . Round to the nearest tenth .

Answers

Answer:

23pi, or approx. 72.27

Step-by-step explanation:

circumference = 2(pi)r, or 2d

pi = approx. 3.14, r = radius, and d = diameter

You are given diameter, so all you have to do is multiply 23 feet by pi.

The circumference of the clock face of is 72.1 feet or 23π.

Given that the diameter of the clock face is 23 feet.

To calculate the circumference of the clock face, use the the following formula:

The value of π is approximately 3.14159.

Circumference = 2πr

In the formula r is the radius.

Since, the diameter is 23 and the radius is half of the diameter.

Thus, the radius r is 11.5.

Further, calculate the circumference:

Circumference = 2 × 3.14159 × 11.5

Circumference ≈ 72.08357

Circumference ≈ 72.1 feet

Therefore, the circumference of the clock face is 72.1 feet.

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A coin is flipped 3 times If you get tails once you get $5, tails twice you get $15, and tails on all three flips you get $40. What is the expected amount of money you will get?

Answers

Answer:

12.50

Step-by-step explanation:

The expected amount is $12.50.

What is the probability?

The Probability in mathematics is possibility of an event in time. In simple words how many times that incident is happening in any given time interval.

There are 8 possibilities, if coin is flipped three times.

HHH, HHT, HTH, TTH, HTT, THT and TTH,

where H is possibility of head and T is tail.

Now the probabilities,

0 tails: 1 way out of 8 total: P(0) = 1/8

1 tails: 3 ways out of 8 total: P(1) = 3/8

2 tails: 3 ways out of 8 total: P(2) = 3/8

3 tails: 1 way out of 8 total: P(3) = 1/8

The expected amount;

(1/8)X 0 + (3/8)X 5 +(3/8)X15 +(1/8)X40

= 15/8 + 45/8 + 40/8

= 100/8

= 12.50

Therefore, the expected amount is $12.50.

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plz help me i need work plz

Answers

For the given figure;

Perimeter = 41 cm and

Area = 49.5 cm².

Step-by-step explanation:

Step 1; The given figure consists of a rectangle and a triangle. The rectangle's length is 6 cm and the rectangle's width is 7 cm. The triangle's base is 6 cm long while its height is 2.5 cm and the third side measures 6.5 cm.

Step 2; The figure's area = The rectangle's area + The triangle's area.

The rectangle's area is given by multiplying the rectangle's length with the rectangle's width. The area of the rectangle = 7 × 6 = 42 cm².

The area of a triangle is given by multiplying [tex]\frac{1}{2}[/tex] with the product of the triangle's base and height. The area of the rectangle = [tex]\frac{1}{2}[/tex] × 6 × 2.5 = 7.5 cm².

The figure's area = 42 + 7.5 = 49.5 cm².

Step 3; The figure's perimeter = The perimeter of the rectangle + the perimeter of the triangle.

The rectangle's perimeter is 2 times the sum of the length and width. The perimeter of the rectangle = 2 × (6 + 7) = 2 × 13 = 26 cm.

The perimeter of a triangle is the sum of all the three side lengths.

The area of the triangle = 6 + 2.5 + 6.5 = 15 cm.

The perimeter of the figure = 26 + 15 = 41 cm.

Tickets for the school play cost $4 for students and $7 for adults. For one performance, 146 tickets were sold for $779. How many tickets were for adults and how many were for students?
a 65 students and 81 adults
b 80 students and 66 adults
c 70 students and 77 adults
d 81 students and 65 adults

Answers

Answer: D

Step-by-step explanation:

Total tickets sold is $779

Calculate the options to get the right answer.

Option D is correct at

81 students at $4 = 324

65 adults at $7= 455

Total is $ 779

what is 1 and 1/8 plus 1 and 1/4

Answers

Answer:2.375

Step-by-step explanation:

1 and 1/8 =(1×8+1)/8=9/8

1 and 1/4 =(1×4+1)/4=5/4

9/8+5/4=9/8+10/8=19/8=2.375

Answer: 2.375

What is the value of x in the equation 3x-47=65, when y=4?
0
x=134
0
x=21
0
x=23
0
x=27

Answers

I agree I think it’s x=134 also

Six is one hundred times ???????????

Answers

Answer:

0.06

Step-by-step explanation:

6 is 6.0 and 0.06 times 100 is 6.

Answer:

0.06

Step-by-step explanation:

if you times 0.06 by 10 it is 0.6

if you times it by 100 it is 6

PAGE 11
3) Solve for x: 1/2(4x+6)=-5x+24.7

A x=3.1
B x=3
C x=7
D x=-7.23

Answers

Answer:

A x=3.1

Step-by-step explanation:

1/2(4x+6)=-5x+24.7

Multiply each side by 2 to get rid of the fraction

2*1/2(4x+6)=2(-5x+24.7)

4x+6 = -10x +49.4

Add 10x to each side

4x+6+10x=-10x+10x+49.4

14x +6 = 49.4

Subtract 6 from each side

14x+6-6 = 49.4-6

14x = 43.4

Divide each side by 14

14x/14 = 43.4/14

x = 3.1

What is the area of the figure?

Enter your answer in the box.

❏in²

Answers

Answer:32

Step-by-step explanation:

add 10 + 10 + 6 + 6 = 32

This graph shows the temperature in Diego's house between noon and midnight one day.
temperature (degrees F)
R
3
TO
1
2
3 4 5 6 7 8 9
time (hours after noon)
10
11
12
Which of the statements below are true statements? Correct the statements that are false to make them
true.
Example:
The highest temperature happened at 9:00. This statement is false. The correct statement is: The
highest temperature happened at 4:00.
A. Time is a function of temperature.
B. The lowest temperature occurred between 4:00 and 5:00.
C. The temperature was increasing between 9:00 and 10:00
D. The temperature was 74 degrees twice, during the 12-hour period.
E. There was a four-hour period during which the temperature did not change.
REMEMBER TO CORRECT WRONG STATEMENTS. YOU GET 1 POINT FOR EACH LETTER, 1 FOR
CORRECT, 1 FOR CORRECTING FALSE STATEMENTS.

Answers

The first three statements are false because they are opposite from the data shown in the graph, while the two last statements are true.

To determine whether a statement is true or false, you need to:

Carefully analyze the information of the graph.Read and understand the statement.Compare the information of the statement to the one of the graph.

Now, let's analyze each statement:Time is a function of temperature:

This statement is false, this is because time does not change with temperature, and therefore time is an independent variable. The corrected statement would be Temperature is a function of time.

The lowest temperature occurred between 4:00 and 5:00:

In the graph, you can see the lowest temperature was 67° and this occurred between 11 and 12 p.m. Therefore, the lowest temperature occurred between 11:00 and 12:00.

The temperature was increasing between 9:00 and 10:00:

Based on the graph from 9 to 10 p-m the temperature went from 70° to almost 65°. Therefore the temperature was decreasing between 9:00 and 10:00.

The temperature was 74 degrees twice, during the 12-hour period:

This statement is true, this temperature occurred at 3:00 and 4:00.

There was a four-hour period during which the temperature did not change:

This statement is true, the temperature is the same between 5:00 and 9:00.

Note: This question is incomplete because the graph is missing, here is the graph.

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URGENT!!!!!!!!
I need the answer to both parts in this screenshot.

Answers

Answer:

a) $10

b) 0.1 hours

Step-by-step explanation:

The total amount earned by Cary,E after working h hours is calculated using:

[tex]E=10h[/tex]

The dollars Cary earns per hour is the unit rate, which is $10

If Cary earns $10 per hour, then she earns

$1 in

[tex] \frac{1}{10} hours = 6mins[/tex]

Carry has to work for 0.1 hours to earn $1

Quadrilateral ERGF is inscribed in a circle Find the measure of angle E (Remember to show formulas equations and numbers in those formulasequations receive creditAlso, make sure to include units on your answer ) R - 2 + 6x G EK 7x - 13

Answers

The measure of angle E is 75°.

Solution:

Given data:

∠E = 5x, ∠F = 7x – 13 and ∠R = –2 + 6x

A quadrilateral inscribed in a circle is called cyclic quadrilateral.

∠R and ∠G are opposite angles in a cyclic quadrilateral.

In cyclic quadrilateral, opposite angles are supplementary.

⇒ m∠R + m∠F = 180

⇒ –2 + 6x + 7x – 13 = 180

⇒ 13x – 15 = 180

Add 15 from both sides of the equation, we get

⇒ 13x = 195

Divide by 13 from both sides of the equation, we get

⇒ x = 15

To find the measure of angle E:

m∠E = 5x

m∠E = 5(15)

m∠E = 75

The measure of angle E is 75°.

Select the correct answer. Amelia lost her credit card one day while on vacation. She reported the loss to the credit card company the next day. However, someone had used her card to make purchases worth $1,600 at different shopping outlets. What is the maximum amount that Amelia may have to pay back for the fraudulent charges of $1,600 made on her card? A. $0 B. $50 C. $800 D. $1,600

Answers

Answer:a

Step-by-step explanation:

The maximum amount that Amelia may have to pay back for the fraudulent charges of $1,600 made on her card is $50.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

According to the Fair Credit Billing Act (FCBA) in the United States, a consumer's liability for unauthorized charges on a credit card is limited to $50.

Amelia will be responsible for paying the first $50 of the fraudulent charges, but she will not be held responsible for any charges above that amount.

However, most credit card companies have a zero liability policy, which means that the consumer will not be responsible for any unauthorized charges made on their credit card.

Hence, the maximum amount that Amelia may have to pay back for the fraudulent charges of $1,600 made on her card is $50.

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Please answer quickly I am running out of time

Answers

The value of [tex]g(-4)=\frac{-4}{3}, \ g(-2)=3 \ \text{and} \ g(2)=\frac{8}{3}[/tex] .

Solution:

Given function:

[tex]g(x)=\left\{\begin{array}{ll}-\frac{1}{3} x^{2}+4 & \text { if } x \neq-2 \\3 & \text { if } x=-2\end{array}\right.[/tex]

Substitute x = –4 in g(x), we get

[tex]$g(-4) =- \frac{1}{3}(-4)^2+4[/tex]

          [tex]$=- \frac{16}{3}+4[/tex]

To make the denominator same, multiply and divide the 2nd term by 3.

          [tex]$=- \frac{16}{3}+\frac{12}{3}[/tex]

[tex]$g(-4)=- \frac{4}{3}[/tex]

It is given that, if x = –2, then g(x) = 3

Therefore g(–2) = 3

Substitute x = 2 in g(x), we get

[tex]$g(2) =- \frac{1}{3}(2)^2+4[/tex]

       [tex]$=- \frac{4}{3}+4[/tex]

To make the denominator same, multiply and divide the 2nd term by 3.

       [tex]$=- \frac{4}{3}+\frac{12}{3}[/tex]

[tex]$g(-2)= \frac{8}{3}[/tex]

The value of [tex]g(-4)=\frac{-4}{3}, \ g(-2)=3 \ \text{and} \ g(2)=\frac{8}{3}[/tex] .

Norma has 9 pies to divide among 4 friends. How many pies will each friend receive if all of the pies must be used and can be divided into smaller parts? A. 2/9 pie B. 4/9 pie C. 1 1/4 pies D. 2 1/4 pies

Answers

Answer:

D. 2 1/2

Step-by-step explanation:

9/4 = 2.50 = 2 1/2

Answer:

D. 2¼

Step-by-step explanation:

9/4

(8+1)/4

8/4 + 1/4

The temperature at 6:00 a.m. was ‐3.5°C. From 6:00 to 7:00, the temperature increased 2.5°C. From 7:00 to 8:00, it decreased by 0.25°C, and from 8:00 to 11:00, the temperature dropped 3.25°C. Which expression shows the temperature in °C at 11:00 a.m.?

Answers

The expression that shows the temperature in °C is [tex]-3.5+2.5+(-0.25)+(-3.25)[/tex].

Step-by-step explanation:

Step 1:

The initial temperature at 6.00 am was [tex]-3.5[/tex] °C.

Step 2:

From 6.00 to 7.00 am, the temperature increased by another 2.5°C, so the temperature at 7.00 am was [tex](-3.5 + 2.5)[/tex] °C.

Step 3:

From 7.00 to 8.00 a.m, the temperature decreased by another 0.25°C, so the temperature at 8.00 am was [tex](-3.5+2.5+(-0.25))[/tex] °C.

Step 4:

From 8.00 to 11.00 a.m, the temperature dropped by another 3.25 °C, so the temperature at 11.00 am was [tex](-3.5+2.5+(-0.25)+-(3.25))[/tex] °C which is represented by the fourth option.

Answer:

A i did did question on think through math think it is the answer

Step-by-step explanation:

42
97
-----
[tex]42 \times 97[/tex]

Answers

Answer:

4074

Step-by-step explanation:

Which image shows a reflection of triangle ABC over the x-axis?
CLEAR CHECK

Math item response image

Math item response image

Math item response image

Answers

There is no images

Answer:

Please add images.

Step-by-step explanation:

4. What is the measure of each interior angle of a regular 28-gon?

Answers

Step-by-step explanation:

Measure of each interior angle of 28 sided polygon

[tex] \frac{(28 - 2) \times 180 \degree}{28} \\ \\ = \frac{26 \times 180 \degree }{28} \\ \\ = \frac{4680 \degree }{28} \\ \\ = 167.14\degree \\ [/tex]

The measure of each interior angle of a regular 28-gon is 167.14 degrees.

The measure of each interior angle of a regular 28-gon can be calculated using the formula:

Interior Angle = (n-2) * 180 / n

Substitute n = 28 into the formula:
Interior Angle = (28 - 2) * 180 / 28 = 24 * 180 / 28 = 167.14 degrees

Help, give me the answers for 1 through 14... (100 points)

Answers

Answer:

can you reupload the photo? so I can help.

Step-by-step explanation:

Answer:

Note that for graph, Y = mx + c, where m = slope of graph and c = y-intersect

1) equation of line: y = [tex]-\frac{3}{4} x[/tex] + 4         ∴ m = -3/4 ,  c = 4

2) equation of line: y = [tex]\frac{3}{2} x[/tex] + 3              m = 3/2 ,   c = 3

3) equation of line: y = [tex]-\frac{2}{5} x[/tex] - 2            m = -2/5 ,  c = -2

4) equation of line: y = [tex]\frac{1}{2} x[/tex] + 3              m = 1/2 ,     c = 3

5) equation of line: y = -x + 2               m = -1 ,       c = 2

6) equation of line: y = [tex]-\frac{5}{2} x[/tex] - 1             m = -5/2 ,   c = -1

Step-by-step explanation:

For each of the line equations, "m" is the slope which is also dy/dx. Also the intersect "c" is on the y axis(Vertical line).

For each equation, assume a number for 'x' then solve for y.... you will be able to get coordinates (x,y) for each graph.

Using 1) as example:

1) equation of line: y = [tex]-\frac{3}{4} x[/tex] + 4         ∴ m = -3/4 ,  c = 4

at intersection 'c', y = 4, when x = 0

∴ y = -3/4 (1) + 4  = [tex]3\frac{1}{4}[/tex]

repeat for x = 2, 3, 4, 5, 6

Do same for equation line 2, 3, 4, 5, 6 to get coordinates to plot each graph

Doris is going to take a 3-hour-6-minute flight from New York, New York, to
Houston, Texas, that leaves at 10:05 a.m. New York time. If New York is in the
eastern time zone and Houston is in the central time zone, what will be the
local time in Houston when the flight arrives?
Use the following to help you answer the question.
12:00 p.m. eastern time = 11:00 a.m. central time = 10:00 a.m. mountain
time = 9:00 a.m. Pacific time.
O
A. 1:11 p.m.
OB. 2:11 p.m.
O C. 11:11 a.m.
O
D. 12:11 p.m

Answers

Answer:

D. 12:11pm

(10:05am + 3hrs 6mins = 1:11pm - 1hr = 12:11pm)

Final answer:

After accounting for the flight duration of 3 hours and 6 minutes and the one-hour time difference due to the Central Standard Time Zone, Doris will arrive in Houston at 12:11 p.m. local time.

Explanation:

Doris is taking a flight from New York to Houston, and we need to calculate the local time of her arrival in Houston after a 3-hour-6-minute flight. To find the answer, we must account for the time zone difference and the duration of her flight. New York is in the Eastern Standard Time Zone, while Houston is in the Central Standard Time Zone, which is one hour behind New York.

Starting from a departure time of 10:05 a.m. in New York, we first add the flight duration which is 3 hours and 6 minutes. This gets us to 1:11 p.m. New York time. Since Houston is one hour behind New York, we subtract one hour from this time to get the local time in Houston, which will be 12:11 p.m.

The correct answer is D. 12:11 p.m. This is the time Doris will arrive in Houston, local time.

Solve the system of linear equations by graphing. Y=-5/2x-7 X+2y=4

Answers

Answer:

They intersect at (-4.5, 4.25)

Assuming you can graph them, just put the equations in your calculator or graphing software and find the intersection, next time.

what is the equation for this line

Answers

The equation of the line is [tex]y=\frac{-1}{5} x-\frac{21}{5}[/tex].

Solution:

The points on the line are (–6, –3) and (4, –5).

 [tex]x_{1}=-6, y_{1}=-3, x_{2}=4, y_{2}=-5[/tex]

Slope of the line:

 [tex]$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

 [tex]$m=\frac{-5-(-3)}{4-(-6)}[/tex]

 [tex]$m=\frac{-5+3}{4+6}[/tex]

[tex]$m=\frac{-2}{10}[/tex]

[tex]$m=\frac{-1}{5}[/tex]

Point-slope formula:

 [tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]

 [tex]$y-(-3)=\frac{-1}{5}(x-(-6))[/tex]

 [tex]$y+3=\frac{-1}{5}(x+6)[/tex]

 [tex]$y+3=\frac{-1}{5} x-\frac{6}{5}[/tex]

Subtract 3 from both sides of the equation.

[tex]$y=\frac{-1}{5} x-\frac{21}{5}[/tex]

The equation of the line is  [tex]y=\frac{-1}{5} x-\frac{21}{5}[/tex].

5d2-50d+125 =
Fully factor each expression

Answers

First, let's start off by simplifying as much as possible before factoring.

5d^2 - 50d + 125

We can divide all the numbers by 5 in order to simplify it:

5(d^2 - 10d + 25)

Now all we need to do is factor.
Since -5*-5 = 25 and -5 - 5 = -10, we can use this to factor:

5(d - 5)(d - 5)
Or
5(d - 5)^2

Which statement is true regarding the functions on the
graph?
Of(-3) = g(4)
Of(-4) = 9(-3)
f(-3) = g(-3)
Of 4) = g(4)

Answers

Answer:

f(-3) = g(-3)

Step-by-step explanation:

Remember points on the graph get their location from the x-axis (horizontal) and y-axis (vertical).

In function notation, "f(x)" means when "x" is the value in the brackets, what the value of "y" will be.

First option for example: f(-3) = g(4)

Value of "y" for f(x) when x = -3:

On the blue line, when x = -3, y = -4.

Value of "y" for g(x) when x = 4:

On the red line, when x = 4, y = -3.

Therefore:

f(-3) = g(4)

-4 = -3          <= This is false.

In the third option: f(-3) = g(-3)

On f(x) blue, when x = -3: y = -4

On g(x) red, when x = -3: y = -4

Therefore:

f(-3) = g(-3)

-4 = -4                <= This is true.

Answer:C

Step-by-step explanation:

The Highly Improbable Foods Company makes vegetarian versions of burgers, hot dogs, and chicken wings, and they offer two platters. Platter A consists of one burger, three hot dogs, and $5$ chicken wings, which costs $\$16.$ Platter B consists of two burgers, one hot dog, and $8$ chicken wings, which costs $\$20.$


A picnic organizer requires $80$ hamburgers, $95$ hot dogs, and $380$ chicken wings. (There can be leftovers, but these are the minimum requirements.) What is the minimum cost (in dollars)?

Answers

Answer:

  $1020

Step-by-step explanation:

Let x and y represent the numbers of Platter A and Platter B the organizer needs to purchase, respectively. The given conditions can be summarized as ...

  x + 2y ≥ 80 . . . . . . 80 or more hamburgers are required

  3x + y ≥ 95 . . . . . . 95 or more hot dogs are required

  5x +8y ≥ 380 . . . . 380 or more chicken wings are required

  16x +20y = c . . . . . c must be minimized

__

It is useful to graph these inequalities, and look for the vertex of the feasible region that is closest to the origin. That vertex is (x, y) = (20, 35). The other vertex that is close to the origin is (60, 10). The cost of that order would be $1310.

The value of an order of 20 Platter A and 35 Platter B is ...

  20×$16 +35×$20 = $320 +700 = $1020

The minimum cost of the picnic food is $1020.

Part B: Set up an equation and solve for x. In your answer, include the equation, your calculations and the value of x.

Part C: Use your equation from Part A and the value of x from Part B to prove your equation to be true for the adjacent angles in the diagram.

Answers

The adjacent angles in the diagram are 112° and 68°.

Step-by-step explanation:

The measure of angle in a straight line is 180°.

Therefore, the sum of the two angles is equal to 180°.

⇒ 2x + 68 = 180

The equation formed to solve for x value is 2x+68 = 180

⇒ 2x = 180 - 68

⇒ 2x = 112

⇒ x = 112/2

x = 56

∴ The adjacent angles in the diagram are 2x=2(56)= 112° and 68°

Other Questions
When the temperature of 2.35 m^3 of a liquid is increased by 48.5 degrees Celsius, it expands by 0.0920 m^3. What is its coefficient of volume expansion? Which of the following graphs represents the equation y = 3x + 2? Supervisor: "I am giving you 10 business days to make a 4% improvement on your average quality score. Your current average quality score is 82. Employee: "Then I will need an average quality score of __________ to meet this goal." Please help. Ill mark you as brainliest if correct!Nicole is hosting a large bridal shower for her friend and has $396 in her budget to rent a facility. The facility she chose for the party requires an $72 deposit plus $60 per hour. If there is no damage to the facility, one-half of the deposit is refunded. If Nicole expects to get the deposit refund, for how many hours can she rent the facility for the bridal shower? Which of the following is a function of the cell membrane?producing energy creating new cellseliminating of wastereplacing damaged cells The long run is best defined as a time period during which at least one input cannot be changed. during which all inputs can be varied. during which consumer demand for goods and services change. that is longer than two years. One thing that distinguishes the short run and the long run is the number of months considered. implicit costs. the existence of marginal costs. the existence of at least one fixed input. Which of the following statements about peer pressure is not accurate Which of the following best describes Rhapsody in Blue? A. Piano concerto B. Jazz rock C. String quartet D. Fuging tune whats the difference between seeing and knowing Which dating method provides dates between 40,000 and 100,000-300,000 years ago, and enables us to determine the date when ancient pottery fragments were last fired, or when burnt-flint artifacts last were heated? Group of answer choices radiocarbon dating electron-spin resonance dendrochronology thermoluminescence why does Bilger spend so much time describing Aronson? what is Bilger's purpose? ( the last meow) Average cost is: a. (variable cost)/(quantity). b. (fixed cost)/(quantity). c. (total cost)/(change in quantity). d. (change in total costs)/(change in quantity). e. (total cost)/(quantity). f. (change in total costs)/(quantity). John and Cynthia went on a date. During dinner, John consistently made eye contact with Cynthia and nodded his head as she was talking. However, instead of focusing exclusively on Cynthia, John was thinking about the game that he was missing. Which type of faulty listening behavior was John exhibiting? You give a crate a push to set it in motion. After the push is over, the crate skids to a stop on a rough, level floor. Describe the energy changes after the push (with the crate as the system). Assume the following amounts: Total fixed costs $ 23 comma 000 Selling price per unit $ 19 Variable costs per unit $ 12 If sales revenue per unit increases to $ 22 and 14 comma 000 units are sold, what is the operating income? A. $ 163 comma 000 B. $ 117 comma 000 C. $ 308 comma 000 D. $ 140 comma 000 A certain first-order reaction has a rate constant of 5.50103 s1. How long will it take for the reactant concentration to drop to 18 of its initial value? Gilberto's Performance Pizza is a small restaurant in Philadelphia that sells gluten-free pizzas. Gilberto's very tiny kitchen has barely enough room for the four ovens in which his workers bake the pizzas. Gilberto signed a lease obligating him to pay the rent for the four ovens for the next year. Because of this, and because Gilberto's kitchen cannot fit more than four ovens, Gilberto cannot change the number of ovens he uses in his production of pizzas in the short run. However, Gilberto's decision regarding how many workers to use can vary from week to week because his workers tend to be students. Each Monday, Gilberto lets them know how many workers he needs for each day of the week. In the short run, these workers are ________ inputs, and the ovens ________ inputs. Say you go kayaking over a 2 mile stretch of river. The river is flowing at a speed of 1mph. You go 2 miles upstream, and then 2 miles downstream, back to your starting point, for one round trip. Make a function for it, then give me the graph of this function. Use a share link from Desmos, or upload a picture, or scan the graph you made on a piece of paper. Remember to show all vertical asymptotes and any horizontal asymptote. Schumpeterian growth focuses on:______. a. capital formation (i.e., more physical capital) as central to economic growth.b. arguing that diminishing returns to capital are overstated .c. the role of cities as central to economic growth.d. the role of technological innovation and entrepreneurs as central to economic growth. e. market expansion as central to economic growth. Why did the United States choose to land in North Africa before continental Europe?AU.S. troops could safely land in North Africa since it was controlled by the Allies.B. North Africa bordered Germany, making invasion easier.C. North Africa had betrayed Germany and asked for Allied help.DD. North Africa was allied with the Soviet Union, making an alliance convenient.