tell me a situation that can best describe a proportional relationship that can be represented with the equation y=7x

Answers

Answer 1

Answer:

If a person weighs 150 pounds and their shoes weigh 10 pounds, then the person's weight in pounds is 150 x .10 = 15 pounds.


Related Questions

Write 7.725666118 as a percentage
please show the method too.

Answers

Answer: 773%

Step-by-step explanation: 7.725666118 x 100 = 772.5666118

772.5666118 = 773 (rounded).

So, 7.725666118 as a percentage is 773%

For example, 50% is written in decimal form as 0.5

And, 0.5 x 100 = 50.

Multiplying by 100 is the same thing as moving the decimal two places to the right.

10-
9
8
7
6
654321
AJ
B
1 2 3 4 5 6 7 8 9 10
a) What are the coordinates of A?
b) What are the coordinates of B?
X

Answers

The coordinates of B when it is given that A(5,-2) and M(12,6) is (29, 14).

How to find the coordinates

If M is the mid-point of line segment AB, and the coordinates of A = (5,-2) while the coordinates of B = (12,6), then the coordinates of M = (8.5,2), which is what you stated that you got.

You are provided with M = (12,6) so you need to identify the coordinates of B. So, just ask yourself how did I get from A to M ? The answer is move 7 right and 8 up since 5 + 7 = 12 while -2 + 8 = 6. All you have to do is add 7 more to the x-value and 8 more to the y-value to obtain the correct answer of (19,14).

Learn more about coordinate on;

https://brainly.com/question/17206319

#SPJ1

Find the coordinates of B when it is given that A(5,-2) and M(12,6),

A grocery store sells a bag of 6 oranges for $4. 80. If Austin spent $8. 00 on oranges, how many did he buy

Answers

Answer:

10 oranges

Step-by-step explanation:

We Know

A grocery store sells a bag of 6 oranges for $4.80

4.80 / 6 = $0.80 for one orange

If Austin spent $8.00 on oranges, how many did he buy?

We Take

8 / 0.80 = 10 oranges

So, he bought 10 oranges.

Sheryl makes $7 per pair of earrings, e and $13 per necklace, n, she sells what expression represents her total income

Answers

Answer:

You just need to create an expression with the variables then add them together to get the total income: 7e + 13n

Select the correct answer.
Scatter plot graph in quadrant 1 of a coordinate plane. 12 points are plotted approximated at (2, 3), (4, 5), (5.8, 4), (5.9, 6.1), (3, 13), (4.9, 7.9), (5.5, 9.1), (6.5, 8), (6.5, 10), (7.5, 7.1), (8, 9), and (8.1, 10.1).
Which point represents the outlier?

A.
(2, 3)
B.
(4, 5)
C.
(3, 13)
D.
(8, 9)

Answers

Answer:

d

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

c

1. Complete the table and determine the rule for this transformation.

Answers

Answer:

the table is analysis swap around

Step-by-step explanation:

like if the input is (3,1) the output will be (1,3)

Consider ▰WXYZ. If WV=18, what is XZ?

Answers

WX must be positive because it measures the width of a trapezoid's side. WX thus equals 16.

what is trapezium ?

A parallelogram with at least two pair of parallel sides is known as a trapezium in geometry (or a parallelogram in American English). The legs of a trapezium are the non-parallel sides, whereas the parallel sides are referred to as the bases. The legs of a zygomatic arch might be equal in length (isosceles) or varied in length (non-isosceles). By averaging the widths of the two bases and multiplying by the height, a trapezium's area can be determined (the perpendicular distance between the two bases). that is Area equals (a + b)*h / 2. where h is the trapezium's height and a and b are the lengths of the base's two parallel sides (the bases).

given

MN can be used in place of XV2 in the equation, and the result is simplified to:

XV² = (1/4) (WX + 18)² + h²

Now, we can add the following expression for XV2 to the equation for WX2:

WX² = 18² + XV²

WX² = 18² + (1/4) (WX + 18)² + h²

Adding and subtracting:

3WX² - 218WX - 18² = 4h²

We can now resolve WX:

WX is equal to (218 sqrt((218)2 - 43(-182))). / (2*3)

WX = 16 or -27

WX must be positive because it measures the width of a trapezoid's side. WX thus equals 16.

To know more about trapezium visit:

https://brainly.com/question/8208556

#SPJ1

Which graph represents the function f(x)=-|x-1|-2

Answers

Answer:

its in the picture

Step-by-step explanation:

Graph the absolute value using the vertex and a few selected points.

x          y

−1        -4

 0       -3

 1        -2

 2       -3

 3       -4

basically, the answer is the graph that looks like this...

hope this helps ;)

question 1 help me asap

Answers

Answer:

-1 = (-1/2)(6) + b

-1 = -3 + b, so b = 2

y = -(1/2)x + 2, so m = -1/2 and b = 2

In circle E with
m

D
E
F
=
4
8

m∠DEF=48

and
D
E
=
6
DE=6, find the area of sector DEF. Round to the nearest hundredth

Answers

The area of sector DEF is 15.09 square units

How to find the area of sector DEF?

The formula for area of a sector is:

A = (θ/360) * πr²

Where θ is the angle subtended at the center and r is the radius of the circle.

In this case, DE is the radius.

Thus r = 6 cm and θ = 48°

Substituting:

A = (48/360) * π * 6²

A = (48/360) * (22/7) * 36

A = 15.09 square units

Learn more about area of sector on:

brainly.com/question/31126946

#SPJ1

Complete Question

Check image attached

On Ernest Airlines, baggage cannot weigh more than 40 pounds. Devin packed 21 pounds of clothes and four packages which weighed a total of 7 pounds. Write an inequality for this scenario. Then solve and determine the weight that each package must be less

Answers

Inequality for this scenario

x ≤ 4.75

So, each package must weigh less than or equal to 4.75 pounds in order for Devin to stay within the weight limit of 40 pounds on Ernest Airlines.

HOW TO SOLVE AN INEQUALITY?

Let x be the weight of each package (in pounds).

The inequality for the scenario can be written as:

21 + 4x ≤ 40

This represents the total weight of Devin's clothes (21 pounds) plus the total weight of the four packages (4x pounds) cannot exceed the weight limit of 40 pounds on Ernest Airlines.

To solve for x, we can subtract 21 from both sides of the inequality:

4x ≤ 40 - 21

4x ≤ 19

Finally, we divide both sides by 4 to isolate x:

x ≤ 19 / 4

Let x be the weight of each package (in pounds).

The inequality for the scenario can be written as:

21 + 4x ≤ 40

This represents the total weight of Devin's clothes (21 pounds) plus the total weight of the four packages (4x pounds) cannot exceed the weight limit of 40 pounds on Ernest Airlines.

To solve for x, we can subtract 21 from both sides of the inequality:

4x ≤ 40 - 21

4x ≤ 19

Finally, we divide both sides by 4 to isolate x:

x ≤ 19 / 4

x ≤ 4.75

So, each package must weigh less than or equal to 4.75 pounds in order for Devin to stay within the weight limit of 40 pounds on Ernest Airlines.

To know more about inequality  visit,

https://brainly.com/question/30228778

#SPJ1

RIGHT ANSWER GETS BRAINLIEST POINTS AND 15 POINTS. Fill in the blanks with greater or less

Answers

Answer:  The mean of data set K is greater than the mean of data set L.

The median of data set K is greater than the median of data set L

Step-by-step explanation:

we need to calculate the mean (average) of each data set and compare them.

Mean of data set K = (28 + 145 + 112 + 57 + 130) / 5 = 112.4

Mean of data set L = (141 + 171 + 68 + 124 + 43) / 5 = 109.4

'Arranging the values in data set K in ascending order, we get:

28, 57, 112, 130, 145

The median of data set K is the middle value, which is 112.

The mean of data set L is 109.4.

   

Divide the sum of 13/5 and -12/7 by their difference

Answers

Answer to these fraction is 31/151

Describe fraction.

Any numerical value that is not a whole number is referred to as a fraction. It symbolizes a portion of something or several portions of something. The numerator and the denominator are the two components of a fraction. The denominator indicates how many equally sized pieces make up a whole, whereas the numerator indicates how many equally sized parts are picked from the whole or collection.

To divide a fraction, all you need to do is flip its numerator and denominator, multiply the outcome by the other fraction, and simplify1.

In light of this, we have:

SUM:

(13/5) + (-12/7) = (13× 7 + -12 ×5) / (5 ×7)

= (91 - 60) / 35 = 31/35

DIFFERENCE:

(13/5) - (-12/7) = (13× 7 - -12× 5) / (5× 7)

= (91 + 60) / 35 = 151/35

Dividing these two fractions:

(31/35) ÷ (151/35) = (31/35)×(35/151) = 31/151

To know more about fraction visit:

brainly.com/question/10354322

#SPJ1

Find the volume of the cylinder in terms of π.
A. 154π cm3
B. 406π cm3
C. 539π cm3
D. 1078π cm3

Answers

Answer:

Step-by-step explanation:

The correct answer is option D, 1078[tex]\pi[/tex] [tex]cm^{3}[/tex].

The volume of the cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h.

Radius = 7cm Height = 22cm.

Substituting the value in the formula, we get

[tex]\pi[/tex]*[tex]7^{2}[/tex]*22 = 1078[tex]\pi[/tex].

Hence the Answer is 1078[tex]\pi[/tex].

Answer:

3386.64 cm3

Step-by-step explanation:

i use this formula    π r² h

A random sample of 100 middle schoolers were asked about their favorite sport. The following data was collected from the students.


Sport Basketball Baseball Soccer Tennis
Number of Students 17 12 27 44


Which of the following graphs correctly displays the data?
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44
Question 15(Multiple Choice Worth 2 points)

Answers

Answer:Answer: A. tennis=17 , soccer= 12, baseball=27, basketball=44

BAR GRAPH make sure its not a histogram!!

Step-by-step explanation:

just took the test

A sphere has a radius of 2. 1 cm. What is the volume of sphere in cm3 (use 3. 14 for π? round to the nearest whole number

Answers

The volume of the sphere is approximately 39 cm³.

A sphere is a three-dimensional shape that is perfectly round, just like a ball. It is characterized by its radius, which is the distance from its center to any point on its surface. In your problem, the sphere has a radius of 2.1 cm, which means that every point on its surface is exactly 2.1 cm away from its center.

To find the volume of a sphere, we use the formula V = (4/3)πr³, where V is the volume, π is a mathematical constant approximately equal to 3.14, and r is the radius of the sphere.

Plugging in the values from your problem, we get:

V = (4/3)π(2.1)³

V = (4/3)π(9.261)

V = 39.082 cm³

To know more about volume here

https://brainly.com/question/11168779

#SPJ4

PLEASE HELP I have no idea how to do this.. our teacher hasnt been here all week.. and I have no clue what this is..

solve for the value of V (9v+3)° 60°​

Answers

The value of v is 13 degrees.

What are supplementary angles?

Supplementary angles are a set of given measure of angles which add up to 180 degrees. Thus producing a measure of the sum of angles on a straight line.

To determine the value of v in the given diagram, we have;

60 + (9v + 3) = 180       (sum of angles on a straight line)

So that;

9v + 3 = 1890 - 60

9v + 3 = 120

9v = 120 - 3

    = 117

v = 117/ 9

  = 13

v = 13^o

The value of v in the question is 13 degrees.

Learn more about supplementary angles at https://brainly.com/question/404323

#SPJ1

If y=5/3+4 what’s Y and what slope would that make?

Answers

Answer: 5/3

Step-by-step explanation:

y = mx +b

m is equal to the slope

b is the y intercept

therefore, m or 5/3 is the slope.

The power of -1 to a function, or ((f^-1)(x)), means...

Answers

The power of -1 to a function, or [tex]((f^{-1})(x)),[/tex]represents the inverse function of f. In other words, if f(x) produces a certain output y, then the inverse function[tex]f^{-1}(y)[/tex]will produce the input x. It is important to note that not all functions have an inverse, and if they do, they may only be valid for certain inputs and outputs.

In mathematics, the inverse function of a function f (also called the inverse of f) is a function that undoes the operation of f1. The inverse of f exists if and only if f is bijective.

[tex]((f^{-1})(x)),[/tex]

The inverse function of f is denoted by. For a function, its inverse admits an explicit description: it sends each element to the unique element such that f(x) = y1.

learn more about inverse function

https://brainly.com/question/2541698

#SPJ11

every student who particpated in field day actives received a water bottle. the water bottle. the water bottle cam in 2 different colors. Based on your simulation how many students had to receive a water bottle in order to distribute water bottles in both colors?

Answers

Answer:

Step-by-step explanation:The model for the given situation is tossing a coin wherein the heads would represent the one color and tails would represent the other color. Based on the simulation, the number of students that would receive a water bottle in order to distribute the water bottles in both colors is 3 students and above.23 water bottles each student received

A deck of standard playing cards holds 52 unique cards.
36 of these cards are numbered cards (numbered 2-9), 4
of these cards are aces, and 12 of these cards are face
cards (jack, queen, and king). If you play a card game and
draw half of the face cards, one ace, and one fourth of the
numbered cards, how many cards do you have? How
many of each card type of card do you have? Cite
evidence from the problem.

Answers

Answer:

Based on the information in the problem, you would have a total of 16 cards, with 6 being face cards, 1 being an ace, and 9 being numbered cards.

Step-by-step explanation:

According to the issue:

The deck contains 52 distinct cards.

There are 36 numbered cards ranging from 2 to 9.

There are four aces in the deck.

There are 12 face cards (including the jack, queen, and king).

If you draw half of the face cards, one ace, and one-fourth of the numbered cards, you will get the following:

Face cards in half: 1/2 * 12 = 6 face cards

1 ace: 1 ace

One-fourth of a deck of numbered cards: 1/4 * 36 = 9 decks of numbered cards

When you add these up, you get a total of 6 + 1 + 9 = 16 cards.

Based on the information in the problem, you would have a total of 16 cards, with 6 being face cards, 1 being an ace, and 9 being numbered cards.

You are at a Riverdogs game and want to tip your server 15%. If your bill was $12, how much tip do you leave?

Answers

Answer:  $1.80

Step-by-step explanation: 15% of 12 is 1.8

mrs lopez types at a constant rate the constant of proportionality for the relationship between the number of words she types w, and the number of minutes she types m,is 38 write an equation to show this relationship

Answers

The equation that shows the relationship is w = 38m.

Writing an equation to show this relationship

If Mrs. Lopez types at a constant rate, then the number of words she types is directly proportional to the amount of time she types. We can express this relationship using the formula:

w = km

where w is the number of words typed, m is the number of minutes spent typing, and k is the constant of proportionality.

We are given that k = 38, so we can substitute this value into the formula to get:

w = 38m

Therefore, the equation that shows the relationship between the number of words Mrs. Lopez types and the number of minutes she types is w = 38m.

Read more about proportional relationship at

https://brainly.com/question/28651666

#SPJ1

Choose the correct graph of the given system of equations. y + 2x = −1 3y − x = 4 Group of answer choices graph of two lines that intersect at the point negative 1, 1, with text on graph that reads One Solution negative 1, 1 graph of two lines that intersect at the point 1, 1, with text on graph that reads One Solution 1, 1 graph of two parallel lines with positive slopes with text on the graph that reads No Solution graph of two lines on top of each other with text on graph that reads Infinitely Many Solutions

Answers

The correct option is- A. graph of two lines with the intersecting point at (negative 1, 1).

Explain about the intersecting lines:

On a plane, intersecting lines are any two or more lines that cross one another. The point of intersection, which can be found on all intersecting lines, is the common point shared by the intersecting lines.

Given system of equations:

y + 2x = −1  ...eq 1

3y − x = 4 ..eq 2

multiply eq 2 with 2 and add to eq 1

6y − 2x = 8 ..eq 3

6y − 2x + y + 2x = 8 - 1

7y = -7

x = -1

Now,

y + 2x = −1

y + 2(-1) = −1

y = -1 + 2

y = 1

Thus, the solution of the given system of equations. y + 2x = −1 and 3y − x = 4 is found as :(-1, 1).

The graph for the equations are attached.

Know more more about the intersecting lines:

https://brainly.com/question/28744045

#SPJ1

Correct question:

Choose the correct graph of the given system of equations. y + 2x = −1 and 3y − x = 4 .

Group of answer choices :

A. graph of two lines that intersect at the point (negative 1, 1)

B. graph of two lines that intersect at the point (1, 1) < Not

C. graph of two parallel lines with positive slopes

D. None of the above

Alex lunch cost 12.00. She added a 15%tip to the price of the lunch How much did Alex pay for her lunch and tip

Answers

Alex will pay 13.8 for her lunch after adding a 15% tip.

We will calculate the amount she paid for her lunch by calculating the tip she paid and adding it to the original price of the lunch(i.e. 12).

[tex]\implies{\sf{15 \% \ of \ 12 \ = \ 12 \times \dfrac{\cancel{15}}{\cancel{100}} }}[/tex]

[tex]\implies{\sf{Tip = \cancel{12} \times \dfrac{3}{\cancel{20}}}}[/tex]

[tex]\implies{\sf{Tip = 3 \times \dfrac{3}{5}}}[/tex]

[tex]\implies{\sf{Tip = \dfrac{9}{5}}}[/tex]

[tex]\implies{\sf{ Tip = 1.8}}[/tex]

Now, add the amount of lunch and tip

[tex]\implies{\bf{ Total \ amount = 12 + 1.8}} \\ \implies{\bf{Total \ amount = 13.8}[/tex]

Learn more about calculating tips on :

https://brainly.com/question/25748640

What is the area of this composite shape? Enter your answer in the box​

Answers

The area of the given composite figure is 40 square inches.

What is a composite figure?

A composite figure and shape are the same thing. A composite figure is any object that may be disassembled into multiple fundamental shapes.

We are given a composite figure which can be broken into a triangle and a rectangle.

So,

⇒ Area of composite figure = Area of Rectangle + Area of triangle

⇒ Area of composite figure = (length * breadth) + ([tex]\frac{1}{2}[/tex] * base * height)

⇒ Area of composite figure = (5 * 7) + ([tex]\frac{1}{2}[/tex] * 5 * 2)

⇒ Area of composite figure = 35 + 5

⇒ Area of composite figure = 40 square inches

Hence, the area of the given composite figure is 40 square inches.

Learn more about composite figure from the given link

https://brainly.com/question/10254615

#SPJ1

A wedding tent is built in the shape of a right rectangular prism topped with a rectangular pyramid. The dimensions of the prism are 34 ft by 40 ft by 8 ft, and the height of the pyramid is 5 ft. Find the total volume of the tent. Round your answer to the nearest tenth if necessary.

Answers

The total volume of the wedding tent is approximately 13146.7 cubic feet.

What is the total volume of the tent?

The volume of a rectangular prism is expressed as;

V = w × h × l

The volume of rectangular pyramid is expressed as;

V = (1/3) × l × w × h

Where w is the width, h is height and l is length

To find the total volume of the wedding tent, we need to find the volumes of the rectangular prism and the rectangular pyramid and add them together.

Given that: the dimensions of the rectangular prism are 34 ft by 40 ft by 8 ft.

Therefore, the volume of the rectangular prism is:

V_prism = w × h × l

V_prism = 34ft × 40ft × 8ft

V_prism = 10880 ft³

Next, we find the volume of the rectangular pyramid.

Note that: the dimensions of the base of the rectangular pyramid are the same as the dimensions of the rectangular prism, which are 34 ft by 40 ft.

Hence:

The volume of rectangular pyramid is expressed as;

V_pyramid  = (1/3) × l × w × h

V_pyramid  = (1/3) × 34ft × 40ft × 5ft

V_pyramid  = 2266.7ft³

Now we can find the total volume of the tent by adding the volume of the rectangular prism and the volume of the rectangular pyramid:

V_total = V_prism + V_pyramid

V_total = 10,880 + 2266.7

V_total = 13146.7 ft³

Therefore, the total volume of the tent is 13,146.7 ft³

Learn more about volume of pyramids here: https://brainly.com/question/9796090

#SPJ1

You want to conduct a poll to discover the proportion of individuals who believe that global warming is not going to be a problem. If you believe the proportion is about 80%, how many individuals will you need to sample to have a 90% confidence interval with a margin of error no more than 5%?at least 271at least 174at least 246

Answers

The number of  individuals will need to be sampled to have a 90% confidence interval with a margin of error no more than 5% is at least 246.

To determine the sample size needed for a 90% confidence interval with a margin of error no more than 5%, we can use the formula:

n = ([tex]z^{2}[/tex] * p * q) / [tex]E^{2}[/tex]

where:
n = sample size
z = z-score for the desired confidence level (in this case, 1.645 for 90%)
p = proportion of individuals who believe global warming is not a problem (0.8)
q = 1 - p (0.2)
E = margin of error (0.05)

Plugging in these values, we get:

n = ([tex]1.645^{2}[/tex]* 0.8 * 0.2) / [tex]0.05^{2}[/tex]
n ≈ 246

Therefore, at least 246 individuals will need to be sampled to have a 90% confidence interval with a margin of error no more than 5%. The answer is at least 246.

Know more about sample size   here:

https://brainly.com/question/6646359

#SPJ11

Given the triangle ABC, if angle A is 9 º, side a is 44 m, and side b is 46 m, find angle C. Please round to one decimal

Answers

The angle of C is 161.4°.

Law of Sine:

Law of sines defines the ratio of sides of a triangle and their respective sine angles are equivalent to each other. The other names of the law of sines are sine law, sine rule and sine formula.

We have :

In the Triangle ABC,

Angle A is 9 º

Side of a is 44 m,

and side of b is 46 m

To find the angle of C

Now, use the law of sines to find angle B:

b/sin B  = a/sin A

Plug all the values in above formula :

=> 46/Sin B = 44/Sin 9°

=> 46 × Sin9°/ 44 = Sin B

Sin B = 0.164

[tex]B = Sin^-^10.164[/tex]

B = 9.555

Now, By angle sum of property of a triangle,

The sum of three angles of a triangle is 180°

So, Let's apply angle sum property to find angle C

=> ∠ A + ∠ B + ∠C = 180°

Put the value of B = 9.555 and angle A = 9°

=> 9° + 9.555 + ∠C = 180°

18.555 +∠C = 180°

∠C = 180°- 18.555

∠C = 161.4°

Learn more about Law of sine at:

https://brainly.com/question/29850063

#SPJ4

How do you express 0.000 000 000 000 1 in exponential form.

Answers

Answer:

1 x 10^-12

Step-by-step explanation:

....

10^-13 because it moves 13 decimal places left
Other Questions
the oceans attitude towards man is 1. Complete the following statement: The angular measure 1.0 radian is equal toA) 0.0175.B) 57.3.C) 1.57.D) 3.14.E) 6.28. Write a letter to your uncle stating 3 thing that you want him to do for you as a student Question 47 Marks: 1 Storage of clothing, bedding, and any other lice infested items for at least ______ will cause the lice to die of starvation.Choose one answer. a. 10 days b. 3 days c. 6 months d. 2 weeks the _ of a neuron receives inputs while the _outputs neural impulses. What is the procedure for quickly stopping a car with ABS In the chemical reaction below, how many grams of KCN will react with 8.55g of H2SO4? What was Scout's fantasy regarding Arthur (Boo) Radley? A person riding a bicycle in a straight line at 7.5 miles per hour would be more balanced than the same person riding the bicycle at 4.8 miles per hour in a straight line.TRUE or false when people save for retirement they frequently buy stocks and bonds. we call this and it directly increase the value of gdp. group of answer choices financial investment : does not investment spending : does not financial investment : does investment spending : does An RTO timer retains the present accumulated value when the false. true/false a fort is provisioned for 42 days; after 10 days, a reinforcement of 200 men arrive and the food will now only last for 24 days. how many men were there in the fort? which of the following is correct regarding the activity index chosen for a flexible budget?select answer from the options belowit should not be the same as the activity index used in developing the predetermined overhead rate.it should remain fixed throughout the relevant range.it should significantly influence budgeted costs.it should not be either sales or net sales. Question 3 0 / 1 pts and an example of a An example of an automatic fiscal policy action is _____ discretionary fiscal policy is___. O a decrease in the tax rate resulting from an effort to increase aggregate demand to combat a recession; changes in the federal funds interest rate brought about by Fed policy. O an increase in spending on defense goods resulting from increased world tensions; unemployment benefit payments increase without the need for any government action O an increase in the tax rate resulting from a desire to shrink the budget deficit; any policy implemented when the economy is at full-employment output. O increased unemployment benefit payments resulting from higher unemployment; lowering the tax rate paid by households with middle incomes Rewrite the following sentences using a transition indicating summary or conclusion.Robinson Crusoe is an entertaining, mysterious, and well-written story. I would recommend it to anyone who enjoys adventure stories. Money is put into two accounts. Account A earns 3.5% interest annually, and account B ears 2.6% interest annually. Assuming $20,000 is split evenly among the accounts and interest is not compounded, how much interest would be earned in total after 6 years? Which of the Big Five traits continues to increase after the age of 50?opennessneuroticismagreeablenessextraversion Consider two firms with the following marginal abatement costs (MAC) as a function of emissions (E): MAC1 = 11 - 2E1 , MAC2 = 7 - E2, and assume marginal external damages (MED) from the aggregate emissions of both firms (EAgg = E1 + E2) is: MED = EAgg. Total abatement costs (TAC) for both firms at the socially efficient level of aggregate emissions is _______ (round your answer to the nearest integer): (280-12)The conductor used to connect the surge arrester to _____ shall not be any longer than necessary. Help with this please 12 points on the line