By definition, two rays labeled Ab and AC must exist with which of the following conditions?​

By Definition, Two Rays Labeled Ab And AC Must Exist With Which Of The Following Conditions?

Answers

Answer 1

Answer:

A. The two rays form angle CAB.

C. The two rays make a line AC.

D. The two rays intersect at point A.

E. The two rays are perpendicular.

This is shown in figure 1 in the attachment provided.

Step-by-step explanation:

The given rays, [tex] \overrightarrow{AB} [/tex] and [tex] \overrightarrow{AC} [/tex] shows that both rays have a common endpoint A.

Therefore, the following conditions exists:

A. "The two rays form angle CAB."

Take a look at figure 1 in the attachment provided below. The two rays meet at point A to form angle CAB.

C. "The two rays make a line AC."

As shown in figure 2 in the attachment provided below, [[tex] \overrightarrow{AB} [/tex] and [tex] \overrightarrow{AC} [/tex] have a common end point, A, and they extend in opposite directions to form a straight line AC. [tex] (\overline{AC}) [/tex]

D. "The two rays intersect at point A."

This is shown in figure 1 in the attachment provided.

E. "The two rays are perpendicular."

Since [tex] \overrightarrow{AB} [/tex] and [tex] \overrightarrow{AC} [/tex] intersect at point A, they are perpendicular to each other, forming a right angle at point A. This we can see in figure 2 provided in the attachment.

By Definition, Two Rays Labeled Ab And AC Must Exist With Which Of The Following Conditions?

Related Questions

Can any one help me?

Answers

8x + 5 + 4x - 17 = 180

12x - 12 = 180

12x = 192

x = 16

The value of x is 16.
16
Explanation idkkkkk1

Determine the quotient of 2 over 5 divided by 3 over 4

Answers

Answer:

8/15

Step-by-step explanation:

Is this a function or not a function? (Picture)

Answers

Answer:

Not a Function

Step-by-step explanation:

question 10 I mark as brainliest ​

Answers

Answer:

134 is the answer

Answer: 134

Step-by-step explanation:

54+ (48+72) x 2/3

54+120x2/3=134

Why do we study?give me reason

Answers

Answer:

Simple to help us improve our lives

Answer:

To do good in school

Step-by-step explanation:

the thing is teachers want us to study so we remember whatever is on the test for an example and that is good but not alt of people always study.

The set A = {1, 3, 5}. What is a larger set this might be a subset of?

Answers

Answer:

Step-by-step explanation:

A larger set that a particular set can be a subset of is a Universal set. A universal set is parent where all other sets are derived from.

For example, given a universal set U = {1,2,3,4,5}, a set A = {1, 3, 5} is said to be a subset of the set U because the elements of set B are contained in the Universal set U.

Also, sets like {1, 4,5} and {3,4,5} can also be regarded as the subset of U since all the elements of the sets can be found in the Universal set U. Hence the correct name of the set is a UNIVERSAL SET

So, the number of maximum subsets we can create from the given set is 8.

Subsets:

The subsets of any set consists of all possible sets including its elements and the null set. Let us understand with the help of an example.

Example: Find all the subsets of set A = {1,2,3,4}

Solution: Given, A = {1,2,3,4}

Subsets =

The subsets of any set consisting of all possible sets including its elements and the null set. Let us understand with the help of an example.

Example: Find all the subsets of set A = {1,2,3,4}

{}

{1}, {2}, {3}, {4},

{1,2}, {1,3}, {1,4}, {2,3},{2,4}, {3,4},

{1,2,3}, {2,3,4}, {1,3,4}, {1,2,4}

{1,2,3,4}

So, the formula is [tex]2^n[/tex].

The given set is,

[tex]A = \{1, 3, 5\}[/tex]

Here the number of an element is 3.

So, the maximum number of subsets we can create is,

[tex]2^n=2^3=8[/tex]

Learn more about the topic Subsets:

https://brainly.com/question/17514113

the first 5 multiples of 18 after 0 are?​

Answers

Answer:

18,36,54,72,90 are first five multiples of 18

Step-by-step explanation:

Answer:

18,36,54,72,90

Step-by-step explanation:

Playing golf, Mike got a + 2on the first hole and - 2 on the second hole. What is his combined score for the first two holes?

Answers

Answer:

0

Step-by-step explanation:

he had a score of 2 on the first hole and then he go a birdie i think and it subtracted 2 from that leaving 0

how do I write an equation in standard form with the points (3,3) (0,-3) (2,-3)

Answers

First:
-3-3= -6 2-3=-1
-6/-1=6

Y=6x+b
3=6 x 3
3=18

Subtract both sides by 18

B=-15

Answer= y=6x-15

ANSWER PLEASE NEED HELP ASAP

Answers

Answer: 43 should be divided into 0.37 to find “x”.

Step-by-step explanation:

The mean and standard deviation of a random sample of n measurements are equal to and ​, respectively. a. Find a ​% confidence interval for if n. b. Find a ​% confidence interval for if n. c. Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient​ fixed?

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

[tex]33.55 <  \mu < 35.5[/tex]

b

[tex]34.03 <  \mu < 34.969 [/tex]

c

Generally the width at  n =  49 is mathematically represented as

   [tex]w =  2 *  E[/tex]

    [tex]w =  2 *  0.952 [/tex]

     [tex]w =  1.904 [/tex]

Generally the width at  n =  196 is mathematically represented as

   [tex]w =  2 *  E[/tex]

    [tex]w =  2 *  0.4687 [/tex]

     [tex]w =  0.9374  [/tex]

d

The correct option is E

Step-by-step explanation:

From the question we are told  that

   The sample mean is  [tex]\= x  =  34.5[/tex]

    The standard deviation is  [tex]s =  3.4[/tex]

Generally given that the confidence level is 95% then the level of significance is  

       [tex]\alpha = (100 -  95)\%[/tex]

=>     [tex]\alpha = 0.05 [/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Considering question a

From the question  n  =  49

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{s }{\sqrt{n} }[/tex]

=>   [tex]E = 1.96*  \frac{ 3.4 }{\sqrt{49} }[/tex]

=>   [tex]E =  0.952 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  p <  \=x  +E[/tex]

      [tex]34.5 -0.952 <  p < 34.5 + 0.952[/tex]

=>    [tex]33.55 <  \mu < 35.5[/tex]

Considering question b

From the question  n  =  196

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{s }{\sqrt{n} }[/tex]

=>   [tex]E = 1.96*  \frac{ 3.4 }{\sqrt{196} }[/tex]

=>   [tex]E =  0.4687 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  p <  \=x  +E[/tex]

      [tex]34.5 -0.4687 <  p < 34.5 +0.4687[/tex]

=>   [tex]34.03 <  \mu < 34.969 [/tex]

Considering question c

Generally the width at  n =  49 is mathematically represented as

   [tex]w =  2 *  E[/tex]

    [tex]w =  2 *  0.952 [/tex]

     [tex]w =  1.904 [/tex]

Generally the width at  n =  196 is mathematically represented as

   [tex]w =  2 *  E[/tex]

    [tex]w =  2 *  0.4687 [/tex]

     [tex]w =  0.9374  [/tex]

Now when the sample size is quadrupled i.e from n = 49 to  n =  196  

The width of the  confidence interval  decrease by 2 from 1.904 to  0.9374  

At a school, there are 120 athletes. The ratio of boy athletes to giri athletes is 3:5. How many of the athletes are girls?
А
75
B
45
с
24
D 5

Answers

Answer:

a

Step-by-step explanation:

because there are over half girls and half of 120 is 60 and 75 is over half

How can you use the order of operation to explain why you cannot combine the variable terms before using the distributive property when solving the equation 7(x+5)-x=42

Answers

Answer:

Step-by-step explanation:

The Order of Operations is very important when simplifying expressions and equations. The Order of Operations is a standard that defines the order in which you should simplify different operations such as addition, subtraction, multiplication and division.

This standard is critical to simplifying and solving different algebra problems. Without it, two different people may interpret an equation or expression in different ways and come up with different answers. The Order of Operations is shown below.

Parentheses and Brackets -- Simplify the inside of parentheses and brackets before you deal with the exponent (if any) of the set of parentheses or remove the parentheses.

Exponents -- Simplify the exponent of a number or of a set of parentheses before you multiply, divide, add, or subtract it.

Multiplication and Division -- Simplify multiplication and division in the order that they appear from left to right.

Addition and Subtraction -- Simplify addition and subtraction in the order that they appear from left to right.

Before we begin simplifying problems using the Order of Operations, let's examine how failure to use the Order of Operations can result in a wrong answer to a problem.

Without the Order of Operations one might decide to simplify the problem working left to right. He or she would add two and five to get seven, then multiply seven by x to get a final answer of 7x. Another person might decide to make the problem a little easier by multiplying first. He or she would have first multiplied 5 by x to get 5x and then found that you can't add 2 and 5x so his or her final answer would be 2 + 5x. Without a standard like the Order of Operations, a problem can be interpreted many different ways

We cannot combine the variable terms before using the distributive property when solving the equation as it will results in wrong answer.

What is distributive property of multiplication over addition ?

If we multiply a number by the sum of more than two, we use the distributive property of multiplication over addition.

Here the expression given is :

7(x+5)-x=42

The Order of Operations is very important when simplifying expressions and equations. The Order of Operations is a standard that defines the order in which you should simplify different operations such as addition, subtraction, multiplication and division.

Parentheses and Brackets -- Simplify the inside of parentheses and brackets before you deal with the exponent (if any) of the set of parentheses or remove the parentheses.

Exponents -- Simplify the exponent of a number or of a set of parentheses before you multiply, divide, add, or subtract it.

Multiplication and Division -- Simplify multiplication and division in the order that they appear from left to right.

Addition and Subtraction -- Simplify addition and subtraction in the order that they appear from left to right.

Without the Order of Operations one might decide to simplify the problem working left to right. He or she would add two and five to get seven, then multiply seven by x to get a final answer of 7x. Another person might decide to make the problem a little easier by multiplying first. He or she would have first multiplied 5 by x to get 5x and then found that you can't add 2 and 5x so his or her final answer would be 2 + 5x. Without a standard like the Order of Operations, a problem can be interpreted many different ways.

Read more about property of multiplication here :

https://brainly.com/question/14391436

#SPJ2

Please help with this easy fraction problem <3

Answers

18 + 7/9

14 + 7/8

First, rewrite each fraction in terms of a common denominator. 8 and 9 don't share a common multiple until 8 * 9 = 72, so we have

7/9 = (7/9) • (8/8) = (7 • 8)/(9 • 8) = 56/72

7/8 = (7/8) • (9/9) = (7 • 9)/(8 • 9) = 63/72

Next, write each whole number in terms of fractions with the same denominator. We have

18 • 72 = 1296  ==>  18 = 1296/72

14 • 72 = 1008  ==>  14 = 1008/72

Write each mixed number as an improper fraction:

18 + 7/9 = 1296/72 + 56/72 = (1296 + 56)/72 = 1352/72

14 + 7/8 = 1008/72 + 63/72 = (1008 + 63)/72 = 1071/72

If the backpack and book together weigh 18 + 7/9 pounds, and the backpack without the book weighs 14 + 7/8 pounds, then the book alone weighs the difference, call it b :

b = (18 + 7/9) - (14 + 7/8)

b = 1352/72 - 1071/72

b = (1352 - 1071)/72

b = 281/72

Convert this to a mixed number. 72 • 4 = 288, so 72 • 4 - 7 = 281:

b = (72 • 4 - 7)/72

b = (72 • 4)/72 - 7/72

b = 4 - 7/72

b = (3 + 1) - 7/72

b = 3 + (1 - 7/72)

b = 3 + 65/72

Which is true 0.45>0.5
0.45<0.5

4.05=0.45

4.05 <0.45

Answers

Answer:

4.05 is greater than 0.45

5d+1/2=d-4 section 2.04

Answers

Answer:  d = -9/8

Steps: 5d + ½ = d - 4

Subtract ½ from both sides: 5d + ½ - ½  = d - 4 - ½

Simplify: 5d = d - 9/2

Subtract d from both sides: 5d - d = d - 9/2 - d

Simplify: 4d = -9/2 ÷ 4

Simplify: d = -9/8

PLz mark brainliest:)

Which of the following equations has exactly one solution?
O A. 4x - 4 + 2x = 6x - 4
O B. 2(4x + 5) = 8x + 10
C. 4x - 8 = 4(x - 4)
O D. 3x + 5 = 2x - 6

Answers

It would be b because

Geometric Sequence♡

5, -2, 4/5

the common ratio was 2/5

find the 10th term​

Answers

If this helped please mark brainliest:)

For a certain product we obtained a regression line equation Y = 10 - 0.8 X, where X is price (in $) and Y is sales (in $1,000). The slope of the line (- 0.8) represents:___---.
A. If the price were $10, expected sales would be $8,000.B. If the price were zero, expected sales would $800.C. If the price increases by $1, sales will decrease by $800, on average.D. Sales are maximized when the price is $0.8.
E. None of the other answers are correct.

Answers

Answer:

C. If the price increases by $1, sales will decrease by $800, on average

Step-by-step explanation:

Slope of regression equation represents the increase/decrease in dependent variable Y due to unit change in independent variable X. Here, independent variable is X is price and dependent variable Y is sales. The slope negative sign represent decrease in dependent variable due to unit increase in independent variable. Sales is given in ($1000) So, (0.8*1000)=800. It means that due to unit dollar increase in price the sales will decrease by $800. Thus, If the price increases by $1, sales will decrease by $800, on average is the correct interpretation.

Sub to SZ Lexrn if that does not show search up shiyo on vr and first vid is them please help out , thx bye . If you do it cmt and ill make a post for yall for 100 points, so my friends won't amke fun of me

Answers

Answer:

If it counts as a question, lol sure, I'd love to help

Kai is making a chessboard using pieces of wood that measure 1 square inch.
When he finishes, the chessboard will have an area of 64 square inches.
How many pieces of wood should he put along each side?
A cube has a volume of 125 cubic inches. What is the length of each edge?

Answers

Answer:

The correct option will be:   c.  8 pieces of wood.Step-by-step

Equivalent Expressions

Warm-Up

Active

Evaluating an Expression

Complete the statements.

Evaluate (15 - 4x) + 5 when x = 3.

Substitute the given value for the

Evaluate within

parentheses.

to simplify.

Use the

inside the

Evaluate exponents.

First, complete the

parentheses.

Next, complete the

parentheses.

Last, complete the addition.

inside the

Multiply and divide

from left to right.

The value is

Add and subtract

from left to right.

Answers

Answer:

Complete the statements.

Substitute the given value for the

✔ variable

.

Use the

✔ order of operations

to simplify.

First, complete the  

✔ multiplication

inside the parentheses.

Next, complete the

✔ subtraction

inside the parentheses.

Last, complete the addition.

The value is

✔ 8

.

Step-by-step explanation:

Plz give me brainlest

Answer:

Variable, order of operations, multiplication, subtraction, 8.

Step-by-step explanation:

Got it right Edge2021

3x - 5 = 2x + 10
What’s the value of x

Answers

Answer:

x = 3

Step-by-step explanation:

braniest pls

Answer:

x=3

Step-by-step explanation:

-5          +10

              +5=15

+5=0

3x, 2x

+2     -2

5x=15

_      _

x=3

Jason delivers newspapers on Saturdays and Sundays only. Each newspaper weighs about 1 pound 5 ounces. If he delivers 15 newspapers each day, how much do the two days' worth of newspapers weigh in pounds and ounces?

Answers

Answer:

39pounds 6oz

Step-by-step explanation:

15x2=30

1x30=30pounds

5x30=150oz

30p+150oz=39.37500

37500p=6oz

39pounds and 6 oz

4(3x + 1)
What is the answer to 4(3x + 1)

Answers

12x + 4

Divide 12 by 4

X=3

Answer:

Answer is 12x+4. Hope that helped.

What value of a will make the following equation true?

Answers

Answer:

a=16

Step-by-step explanation:

Answer:

A=4

Step-by-step explanation:

I need help with Number 7 please!!!

Answers

Answer:

8.06 ft or [tex]\sqrt{65}[/tex]  ft

Step-by-step explanation:

Since Rebecca bought a square table and squares have equal sides, you can take the square root of the area of the table, which gives you [tex]\sqrt{65}[/tex]  ft per side. This can be approximated to 8.06 ft.

8.06 ft
Mark me as the brainliest please I spent 25 hours working on this. Thank you very much little boo. You are so segsy. Go get some Bob pics from mother’s boyfriend. 8.06 under your di37 hole

In which number is the digit 7 ten times larger than it is in the number 175?

A) 379
B) 607
C) 730
D) 7,513

Answers

Answer:

c 730

Step-by-step explanation:

because the 7 in 730 is one digit to the left

Answer:

C. 730

Step-by-step explanation:

The 7 in the original number is in the tens place. So if you multiply that by 10, the seven moves into the hundreds place.

what is /4 of 3/4 =
What is 1/4 of 3/4

Answers

Answer:

3/16

Step-by-step explanation:

1/4 of 3/4 is just another way of saying (1/4)*(3/4). When multiplying fractions, you must multiply the numerators and denominators to get the product so the numerator of the products is 1*3 and the denominator is 4*4 to get:

3/16

Answer:

3/16

Step-by-step explanation:

1/4 of 3/4

= 1/4 × 3/4

you multipy the numerators together and then multiply both denominators

ie. 1×3 divided by 4×4

= 3/16

A family is purchasing 17 tickets for a downtown walking tour. Adult tickets are $10, child tickets are $7, and senior tickets are $8.50. The total

cost of the tickets is $141.50, and they are purchasing 2 more senior tickets than adult tickets.

Create and solve a system of linear equations to represent this situation. Then select the true statement.


А. The solution to this system is nonviable because it results in a fractional number of tickets.

B. The solution to this system is no viable because it results in a negative number of tickets.

C. The solution to this system is viable.

D. The solution to this system is nonviable because it results in a fractional amount of money.

Answers

Answer:

А. The solution to this system is nonviable because it results in a fractional number of tickets.

Step-by-step explanation:

Let x represent the number of adult tickets, y represent the number of child ticket and z represent the number of senior ticket.

Since the number of purchased ticket is 17, hence:

x + y + z = 17         (1)

The total cost of tickets is $141.50, hence:

10x + 7y + 8.5z = 141.5       (2)

they are purchasing 2 more senior tickets than adult tickets, therefore:

x = z + 2        (3)

Solving equation 1 2 and 3 simultaneously gives:

x =17/3, y = 23/3, z = 11/3

Therefore the solution to this system is nonviable because it results in a fractional number of tickets.

Answer:

А.The solution to this system is nonviable because it results in a fractional number of tickets

Step-by-step explanation:

took the test on edmentum and got it correct

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the cost of building an airplane with 200 seats is about 100$ million if the cost in million of dollars c is proportional to the number of seats what equation can be used to determine the cost , in millions of dollars to bulid an airplane with any number of seats? Which of the following is not a characteristic of enzymes?Fthey are proteinsGthey act as a catalystHthey react with a specific substratethey are unaffected by changes in temperatureJ they are unaffected by changes in temperature Which of the following properly explains what takes place when light hits polarized film? A) The intensity of the light is simply dimmed B)The planes of light become scattered C)The scattered light has either the horizontal plane or the vertical plane blocked D)The intensity of the light is brighten Is there a tension between personal identity and social acceptance in real life? How successful was the author of The Absolutely True Diary of a Part-Time Indian in convincing you that holding onto your inner identity can lead to wider social acceptance? To generate integers between and including -10 to 10 you would use: A cannonball with a mass of 50 kilograms and a golf ball with a mass of 0. 8 kilograms are dropped in a vacuum from a height of 10 meters. Compare the acceleration of each object as they fall. What is the theme?I was climbing up a mountain-pathWith many things to do,Important business of my own,And other people's too,[5]When I ran against a PrejudiceThat quite cut off the view.My work was such as could not wait,My path quite clearly showed,My strength and time were limited,[10]I carried quite a load;And there that hulking PrejudiceSat all across the road.So I spoke to him politely,For he was huge and high,[15]And begged that he would move a bitAnd let me travel by.He smiled, but as for moving! He didn't even try.And then I reasoned quietly[20]With that colossal mule:My time was short no other path The mountain winds were cool.I argued like a Solomon;He sat there like a fool.[25]Then I flew into a passion,and I danced and howled and swore.I pelted and belabored himTill I was stiff and sore;He got as mad as I did [30]But he sat there as before.And then I begged him on my knees;I might be kneeling stillIf so I hoped to move that massOf obdurate ill-will [35]As well invite the monumentTo vacate Bunker Hill!So I sat before him helpless,In an ecstasy of woe The mountain mists were rising fast,[40]The sun was sinking slow When a sudden inspiration came,As sudden winds do blow.I took my hat, I took my stick,My load I settled fair,[45]I approached that awful incubusWith an absent-minded air And I walked directly through him,As if he wasn't there! Fill in the blank in the following sentence with the appropriate word below.Note the cue in parentheses.Dobla la esquina y sigue caminando (until) la calle SanLuis.A. surB. pasandoC. derechoD. hasta Flight 1 When Robert was a little boy, he wanted nothing more than to see a hawk flying across the sky. Or to see an eagle, an osprey, or a falcon! Robert loved to think about large birds with great yellow talons, soaring across the sky and seeing every corner of the earth that people could not see. 2 But Robert lived in the city, where such birds were never seen. He used to fall asleep at night imagining a hawks wings forming arcs across a great big blue sky, which he pictured as a wide, open field where no legged animals could run but only winged animals could soar. As he drifted into dreams, the birds in his imagination morphed into dragons and pterodactyls and all manner of ancient or other- worldly flying creatures. Robert would wake in the morning smiling at the thought of this big blue field in his dreams. But he spent each day on the subway and walking along crowded sidewalks and looking up between tall buildings where he could catch only a sliver of blue. 3 As he got older, Robert tried to forget about his dreams and focus all his attention on his studies. At school, he took the hardest classes he could and was in advanced placement math and science before long. He decided that if he could not see hawks and eagles and falcons in their natural habitat, he would learn everything he could about how those animals worked. He loved to think about how lessons from birds had led to the first experiments in human flight and the development of airplanes. 4 Robert devoured books about the inventors of the airplanes and the physics that made air travel successful. His devotion to this topic confused his parents, who saw in him a smart and eager child who could study medicine or the law and have a good career. 5 Stop daydreaming about birds! they would say to him. 6 But Robert continued to spend as much time as he could learning about what made flying possible. 7 Sometimes, even as he was older - a college student now, living in a cramped dorm-room with three other boys his age - Robert would drift off to sleep imagining that big open sky filled with hawks and osprey and dragons. He knew it was silly, but he held on to that image. It filled him with hope for something he couldnt quite name. He would ask himself what he was hoping for. 8 Do I want to see a hawk or an eagle or a falcon, or do I hope to someday fly like one of them myself? Robert would say, to no one other than himself. 9 The college Robert attended was also in the city, and he hadnt found a way to travel outside of it yet. He still could only dream about that big blue field above. 10 One day, just before graduation, Robert got a phone call from someone he didnt know. When he answered, the voice on the other end made an unusual announcement. 11 Im looking for someone to test fly a new airplane Im developing, the voice said. Professor Jackson gave me your name. He said he had never had another student as devoted to the art of flying as Robert Smith. Would you be interested in coming in to learn more about my new plane? 12 Robert jotted down the address and date of the interview, and hung up the phone smiling. He couldnt help but close his eyes and picture the big blue field, filled with all manner of flying creatures. Maybe soon he would be among them. 1. Which sentence from the story best illustrates its central conflict? When Robert was a little boy, he wanted nothing more than to see a hawk flying across the sky. Robert would wake up in the morning smiling at the thought of this big blue field in his dreams But he spent each day on the subway and walking along crowded sidewalks and looking up between tall buildings where he could catch only a sliver of blue. He loved to think about how lessons from birds had led to the first experiments in human flight and the development of airplanes. PLEASE HELP ME ANSWER BOTH QUESTIONS WILL MARK BRAINLIEST!!! The Dutch settled ina. New Englandb. Virginiac. Louisianad. New Netherland 4. Sectoral shifts, frictional unemployment, and job searches Suppose the world price of steel falls substantially. The demand for labor among steel-producing firms in Pennsylvania will . The demand for labor among automobile-producing firms in Michigan, for which steel is an input, will . The temporary unemployment resulting from such sectoral shifts in the economy is best described as unemployment. Suppose the government wants to reduce this type of unemployment. Which of the following policies would help achieve this goal? Check all that apply. Improving a widely used job-search website so that it matches workers to job vacancies more effectively Establishing government-run employment agencies to connect unemployed workers to job vacancies Increasing the benefits offered to unemployed workers through the government's unemployment insurance program 1. You pay $25.00 to fill up the 13-gallon gas tank of your internal combustion engine car.How much are you paying for one gallon of gas? Lionel Messi, who is running 20 feet per second is 15 feet behind Cristiano Ronaldo who is running at 17 feet per second. How long will it take Messi to catch up with Ronaldo? I need it done assapppp Write an expression to represent the submarines elevation after its final dive. Then simplify the expression to find its elevation. We, the undersigned scientists, have been working in the field of atomic power. Until recently, we have had to fear that the United States might be attacked by atomic bombs during this war and that her only defense might lie in a counterattack by the same means. Today, with the defeat of Germany, this danger is averted and we feel impelled to say what follows: The war has to be brought speedily to a successful conclusion, and attacks by atomic bombs may very well be an effective method of warfare. We feel, however, that such attacks on Japan could not be justified, at least not unless the terms which will be imposed after the war on Japan were made public in detail and Japan were given an opportunity to surrender. If such public announcement gave assurance to the Japanese that they could look forward to a life devoted to peaceful pursuits in their homeland and if Japan still refused to surrender our nation might then, in certain circumstances, find itself forced to resort to the use of atomic bombs. Such a step, however, ought not to be made at any time without seriously considering the moral responsibilities which are involved. The development of atomic power will provide the nations with new means of destruction. The atomic bombs at our disposal represent only the first step in this direction, and there is almost no limit to the destructive power which will become available in the course of their future development. Thus a nation which sets the precedent of using these newly liberated forces of nature for purposes of destruction may have to bear the responsibility of opening the door to an era of devastation on an unimaginable scale. If after this war a situation is allowed to develop in the world which permits rival powers to be in uncontrolled possession of these new means of destruction, the cities of the United States as well as the cities of other nations will be in continuous danger of sudden annihilation. All the resources of the United States, moral and material, may have to be mobilized to prevent the advent of such a world situation. Its prevention is at present the solemn responsibility of the United Statessingled out by virtue of her lead in the field of atomic power. . . . In view of the foregoing, we, the undersigned, respectfully petition: first, that you exercise your power as Commander-in-Chief, to rule that the United States shall not resort to the use of atomic bombs in this war unless the terms which will be imposed upon Japan have been made public in detail and Japan knowing these terms has refused to surrender; second, that in such an event the question whether or not to use atomic bombs be decided by you in light of the considerations presented in this petition as well as all the other moral responsibilities which are involved.DISCUSSION QUESTIONS1. How would you sum up the scientists purpose in petitioning the president? 2. How would you describe the tone of the petition? 3. Under what circumstances do the writers say that use of the atomic bomb against Japan might be justified? 4. What solemn responsibility does the U.S. bear, according to the scientists? Why?5. What does the petition add to your understanding of the Atomic Age and the present nuclear threat, as outlined in the Upfront article? Jenny ran 5 more miles this week than she ran last week. Let t be the number of miles she ran last week. Write an expression that tells how many miles she ran this week. what are the pitches of the dominant chord?(ill mark brainliest)A) A,C,EB) E,G,BC) F,A,CC) G,B,D Which of the following best describes open-source code software?O A. a type of software that is open to the public and can be modifiedB. a type of software that is free to download, but cannot be modified C. a type of software that is locked, but can be modifiedD. a type of software that has already been modified