on a horizontal number line, numbers are what

down from 0
the left from 0
to the right of 0
up from 0

Answers

Answer 1

Answer:

to the right of zero if postive if negative left

Answer 2

Answer:

to the right of zero if positive if negative to the left


Related Questions

Can someone explain this question to me?

Can someone explain this question to me?
Can someone explain this question to me?

Answers

Answer:

The error in this problem is the answer because -3.7+(-0.25) does not equal -0.62

Step-by-step explanation:

-3.7+(-0.25) equals -3.95

In general just skim through the problem(answer it) then explain how you answered it and a hypothesis on how the other person( original answer) could have solved it wrong, or point out the difference and a probable mistake.

please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!

Answers

The function for the points are  y = -15x - 5

How to determine the function

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

m is the slope of the liney - y₁ and (x - x₁) are the points

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

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The function for the points solved by  (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)                                                          

Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)

that is 1/3 = \(a\), 0 = \(a_{1}\) and

0 = \(b\), -5 = \(b_{1}\)

\(x\) refers to the slope of line (take any variable)

Now for finding the value of \(x\),

\(x=a-a_{1}/b-b_{1}\)

inserting the values,

\(x=[0-[-5]]/[0-1/3]\\x= -15\)

Substitute the value of \(x\) in the equation

\(a-0=-15[b-1/3]\)

By simplifying the equation, we get

\(a=-15b-5\)

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Using a directrix of y = −2 and a focus of (2, 6), what quadratic function is created?
here are the answers given
\/
f(x) = −one eighth (x − 2)2 − 2
f(x) = one sixteenth (x − 2)2 + 2
f(x) = one eighth (x − 2)2 − 2
f(x) = −one sixteenth (x + 2)2 − 2

Answers

Answer:

f(x)=1/16(x-2)^2+2

Step-by-step explanation:

The Equation can be written like this:

f(x) = 1/(4p)(x -h)^2 +(k-p)

where (h, k) is the focus, and p is half the distance between focus and directrix. Here, (h, k) = (2, 6) and p=(6-(-2))/2 = 4. So the equation is ...

 f(x) = 1/16(x -2)^2 +2

I need help for my question please

Explain the cosine rule and sine rule while also saying how to use it and provide examples (keep it in simple terms)

Answers

Answer:

Sure, I'll explain the cosine rule and sine rule in simple terms:

The cosine rule (also known as the law of cosines) is used to find the length of a side or the measure of an angle in a triangle given the lengths of the other sides and the angle between those sides. It states that c^2 = a^2 + b^2 - 2ab cos(C), where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.

Here's an example of how to use the cosine

Suppose we have a triangle with sides a=6, b=8, and an angle between them c=45 degrees. We want to find the length of the remaining side of the triangle, side a.

Using the cosine rule:

a^2 = b^2 + c^2 - 2bc * cosA

where A is the angle opposite side a, we can plug in our values and solve for a:

a^2 = 8^2 + 6^2 - 2(8)(6) * cos(45)

a^2 = 64 + 36 - 96 * 0.707

a^2 = 10.56

a = sqrt(10.56)

a = 3.25 (rounded to two decimal places)

Therefore, the length of side a is approximately 3.25 units.

Answer:

Step-by-step explanation:

PLZ HELP BRAINLIEST!!! solve for v


d=m/v

Answers

Answer:

V=M/D

Step-by-step explanation:

D=M/V

multiply both sides by V

divide both sides by d

V=M/D

Please help!! Will give brainiest!!
Data was collected on the amount of time that a random sample of 8 students spent studying for a test and the grades they earned on the test. A scatter plot and line of fit were created for the data.

scatter plot titled students' data, with points plotted at 1 comma 80, 2 comma 70, 2 comma 80, 2 comma 90, 3 comma 80, 3 comma 100, 4 comma 90, and 4 comma 98, and a line of fit drawn passing through the points 0 comma 70 and 1 comma 75

Find the y-intercept of the line of fit and explain its meaning in the context of the data.

80; a student who studies for 0 hours is predicted to earn 80% on the test
70; a student who studies for 0 hours is predicted to earn 70% on the test
10; for each additional hour a student studies, their grade is predicted to increase by 10% on the test
5; for each additional hour a student studies, their grade is predicted to increase by 5% on the test

Answers

Answer:

Step-by-step explanation:

The y-intercept of the line of fit is 70, which means that a student who does not study at all (0 hours) is predicted to earn a grade of 70%. In other words, the line of fit starts at the point (0,70), indicating that even if a student does not study at all, they can still earn a grade of 70% on the test. However, it should be noted that this prediction may not always hold true for all students and situations. The y-intercept provides a useful reference point for interpreting the rest of the data, and helps to establish a baseline for the relationship between study time and test grades.

Answer:
Step-by-step explanation:
The y-intercept of the line of fit is 70, which means that a student who does not study at all (O hours) is predicted to earn a grade of 70%.
In other words, the line of fit starts at the point (0,70), indicating that even if a student does not study at all, they can still earn a grade of 70% on the test. However, it should be noted that this prediction may not always hold true for all students and situations. The -intercept provides a useful reference point for interpreting the rest of the data, and helps to establish a baseline for the relationship between study time and test grades.

If the relationships below are given in the form (input, output), which pairing always describes a function? (a person’s age in years, that same person’s height in inches) (a person’s weight in pounds, that same person’s height in inches) (a person’s height in centimeters, that same person’s height in inches) (a person’s telephone number, that same person’s height in inches)

Answers

Answer:

A function is a mathematical relation in which each input (domain value) is associated with exactly one output (range value). In other words, for a relation to be a function, each input can have only one corresponding output. Let's analyze the given pairings:

(a person’s age in years, that same person’s height in inches) - This can be a function because one person's age in years should correspond to a single height in inches.

(a person’s weight in pounds, that same person’s height in inches) - This can also be a function because one person's weight in pounds should correspond to a single height in inches.

(a person’s height in centimeters, that same person’s height in inches) - This can be a function because one person's height in centimeters should correspond to a single height in inches.

(a person’s telephone number, that same person’s height in inches) - This may not necessarily be a function. It's possible for two different people to have the same height in inches but different telephone numbers.

So, the pairings that always describe a function are:

(a person’s age in years, that same person’s height in inches)

(a person’s weight in pounds, that same person’s height in inches)

(a person’s height in centimeters, that same person’s height in inches)

These three pairings meet the criteria of a function, where each input corresponds to a unique output.

The pairing that always describes a function is option C. (a person’s height in centimeters, that same person’s height in inches)

How did we arrive at this assertion?

A pairing describes a function when each unique input (domain element) is associated with exactly one unique output (range element). In other words, there should be no ambiguity or multiple outputs for a single input. Let's analyze the given pairings:

1. (a person’s age in years, that same person’s height in inches): This pairing may not always describe a function because multiple people can have the same age, but they might have different heights. So, there can be multiple outputs for the same input (age).

2. (a person’s weight in pounds, that same person’s height in inches): Similar to the first pairing, this may not always describe a function because different people can have the same weight but different heights.

3. (a person’s height in centimeters, that same person’s height in inches): This pairing describes a function because for each unique height in centimeters, there is only one corresponding height in inches.

4. (a person’s telephone number, that same person’s height in inches): This pairing may not always describe a function because multiple people can have the same telephone number, but they might have different heights. So, there can be multiple outputs for the same input (telephone number).

So, the pairing that always describes a function is: (a person’s height in centimeters, that same person’s height in inches)

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help me out and I will give brainliest of you are correct so plsssssssss help me out

help me out and I will give brainliest of you are correct so plsssssssss help me out

Answers

Answer:

A!

Step-by-step explanation:

1. Multiply -1500 x 1 first

2. Then... add that number by 8350, and then you will get the same answer as shown in the elevation.

I hoped this helped! Have a good day :)

How do I solve this problem for 7th grade!

How do I solve this problem for 7th grade!

Answers

Its 55

35% = 35/100
So 35/100*200 <- 200 is the number of all tags
When you do this, you’ll get 70
So 70 tags are blue

Next, to find how many yellow tags, just
3/8*200 = 75
There’s 75 yellow tags

If you add both amounts (70+75) you’ll get 145

Now we know there are 200 tags and 145 of them are yellow and blue, so the rest are red
200-145 =55

Answer:

55 name tags are red

Simplify (6x+5-3x+16)÷3x15÷5

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Simplify (6x+5-3x+16)3x155
3 • ( x + 7 ) hope this helped :)

please help me i will give brainliest to first person to anwser.

please help me i will give brainliest to first person to anwser.

Answers

A. 1607.7

First we start with the formula for cylinders v=(pi)r(squared)h filled in Thats v=(3.14)(8 squared) (8) which brings us to the answer 1607.68 but you must round to the nearest tenth aka 1607.7
please help me i will give brainliest to first person to anwser.

Answer:

The first option, V ≈ 1607.7 in²

Step-by-step explanation:

Find the volume of the given cylinder.

\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)

Given:

r = 8 in

h = 8 in

π = 3.14

Find:

V = ?? in³

\(\hrulefill\)

Now solving,

Substitute the given values into the formula:

=> V = (3.14)(8)²(8)

Using a calculator to simplify:

=> V = 1607.68 in²

Rounded to the nearest tenth:

∴ V ≈ 1607.7 in²

Thus, the first option is correct.

44 PTS HELP ME PLEASE I NEED THIS ASAP ITS 6 PM IVE BEEN WORKING SINCE 11 AM Which properties were used to simplify the following expression? Select all that apply.
4 + 3(9 + 2)

4 + (3 × 9) + (3 × 2)

4 + 27 + 6

4 + 6 + 27

10 + 27

37

associative property of addition
identity property of addition
identity property of multiplication
associative property of multiplication
commutative property of multiplication
commutative property of addition
distributive property

44 PTS HELP ME PLEASE I NEED THIS ASAP ITS 6 PM IVE BEEN WORKING SINCE 11 AM Which properties were used

Answers

The properties used to simplify the expression 4 + 3(9 + 2) are:

- Distributive property of multiplication over addition: This property is used to expand the expression 3(9 + 2) into 3 × 9 + 3 × 2.

- Associative property of addition: This property is used to regroup the terms in the expression 4 + 27 + 6 as (4 + 6) + 27.

- Identity property of addition: This property is used to simplify the expression (4 + 6) to 10.

Therefore, the properties used to simplify the expression are distributive property of multiplication over addition, associative property of addition, and identity property of addition.

The answer choices that apply are:
- Distributive property
- Associative property of addition
- Identity property of addition

PLS HELP RN!!!!!!!!!!!!!!!!!!!!!!!

PLS HELP RN!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

(1, -1)

Step-by-step explanation:

To estimate the solution to the system of equations, we can substitute the given coordinates into the equations and check which one satisfies both equations most closely.

Let's substitute the coordinates into the equations:

For (-1, 0):

-3(-1) + 0 = 2

3 ≠ 2

For (-1, -1):

-3(-1) + (-1) = 2

2 ≠ 2

For (1, 0):

-3(1) + 0 = 2

-3 ≠ 2

For (1, -1):

-3(1) + (-1) = 2

-4 = 2

From the given options, (1, -1) is the best estimate of the solution to the system of equations since it satisfies both equations most closely.

Hope this helps!

person up top is right

WHOEVER GETS THIS RIGHT GETS 95 POINTS
Determine which integer will make the inequality x − 4 < 16 true.

A) S:{16}
B) S:{20}
C) S:{21}
D) S:{32}

Answers

Answer:

c

Step-by-step explanation:

The answer is C) s:{21}

Best answer will be mart

Best answer will be mart

Answers

Answer:

x= 4

Step-by-step explanation:

2x + 3( 5x - 7) = 47

2x + 15x - 21 = 47

17x -21 = 47

17x = 47 + 21

17x = 68

x = 68 / 17

x = 4

hope it helps plzz mark me brainliest

Answer:

X = 4 plz brainliest

Step-by-step explanation:

2x+3(5x-7)=47

Distribute

2x + 15x - 21 = 47

Combine like terms

17x -21 = 47

Add 21 to both sides

17x = 68

Divide by 17 both sides

X = 4

The first two steps for simplifying 180 are shown below.
Complete the last step by simplifying the expression. What
is 180 simplified?
Step 1: 180 = 5.3.3.2.2
06
Step 2: 75.3 - 3:2.2 = V5 -32.22
O 65
0 30
30/5
Save and Exit
Next
Submit

The first two steps for simplifying 180 are shown below.Complete the last step by simplifying the expression.

Answers

Answer:

B

Step-by-step explanation:

At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.


Ketchup Relish Chili
54 36 60


Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042

Answers

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Answer:

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Step-by-step explanation:

Could y’all explain I don’t get this

Could yall explain I dont get this

Answers

Answer:

Step-by-step explanation:

Xyla has all of her money to start so she has 1.

start by converting all fractions so they have a common denominator.

1/8 = 3/24

2/3 = 16/24

1/6 = 4/24

add these. it totals to

23/24

Now we subtract the whole: 1.

1 - 23/24 = 1/24

Xyla has 1/24 of her money left.

Answer:

1/24 of her money is remaining after the three purchases.

Step-by-step explanation:

To find what percentage of money Xyla has left, we must know what percent of her money she is spending. Our fractions are

1/8, 2/3, 1/6

to add these, we must find a common multiple between 8, 3, and 6. This would allow each denominator to be the same number.

A common multiple of the three is 24. Therefore, we multiply each fraction by the number that will allow the fractions to have a denominator of 24.

1/8*3=3/24

2/3*8=16/24

1/6*4=4/24

Then, we add the fractions:

3/24+16/24+4/24=23/24

Xyla has spend 23/24 of her money. Therefore, she has 1/24 of her money remaining.

1. The number line shows the graph of an inequality:


A number line is shown from negative 5 to positive 5 with increments of 0.5. All the whole numbers are labeled on the number line. An empty circle is shown on the first mark to the left of 0. The region to the left of the empty circle is shaded.


Which statement explains whether −2.5 can be a value in the shaded region?


a

Yes it can, because −2.5 lies to the left of −0.5.

b

Yes it can, because −2.5 lies to the right of −0.5.

c

No it cannot, because −2.5 lies to the left of −0.5.

d

No it cannot, because −2.5 lies to the right of −0.5.



2. If x = − 4, which number line shows the value of |x|? (5 points)


a

A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 4 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 4 tick marks to the left of zero to 0. A horizontal line is shown between the brackets, and 4 is written on the line.


b

A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 4 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 4 tick marks to the left of zero to 0. A horizontal line is shown between the brackets, and negative 4 is written on the line.


c

A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 4 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 4 tick marks to the left of zero to a point at 4 tick marks to the right of zero. A horizontal line is shown between the brackets, and 4 is written on the line.


d

A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 4 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 4 tick marks to the left of zero to a point at 4 tick marks to the right of zero. A horizontal line is shown between the brackets, and negative 4 is written on the line.

1. The number line shows the graph of an inequality:A number line is shown from negative 5 to positive
1. The number line shows the graph of an inequality:A number line is shown from negative 5 to positive

Answers

Step-by-step explanation:

a

Yes it can, because −2.5 lies to the left of −0.5.

2y + 6 = y - 7 find the value of y

Answers

Answer: y = -13

Step-by-step explanation: Solve for y by simplifying both sides of the equation, then isolate the variable.

I hope this helps <3

2y+6= y-7
2y-y = -7-6
y= -13

math question below the cut

math question below the cut

Answers

Answer:

69.5

Step-by-step explanation:

A trapezoid's area is

\(\frac{b_1+b_2} {2} *h\).

We know base 1 and base 2.

115+105=220.

220/2=110.

110*h=7645

7645/110=h

h=69.5

69.5 because I did the quiz and got it right txt me if you need help

Predict the cost of a meal for a family of four between $50.00 and $100.00. Be sure to include dollars and cents.

Part A: If the family has a 15%-off coupon, calculate the new price of the meal. Show all work or explain your steps. (2 points)

Part B: Calculate a 20% tip using the new price. What is the final cost of the meal? Show all work or explain your steps. (2 points)

Answers

Answer:

$51

Step-by-step explanation:

lets say 50, so 15% of 50 is 42.5 and + 20% for tip which is $51

The answer would be $51

The local school district has made a scale model of the campus of Engels Middle School including a proposed new building. The scale of the model is 1 inch = 3 feet. An existing gymnasium is 8 inches tall in the model. How tall is the actual gymnasium?

Answers

24 feet tall explanation:1-123-2-123-3-123-4-123-5-123-6-123-7-123-8-123
24 feet
3x8= 24 also can do 3+3+3+3+3+3+3+3=24

IF YOU SHOW YOUR WORK I WILL MARK YOU AS BRAINLIEST!! WORTH 15 POINTS!!! A water pump moves 360 gallons of water in 18 minutes. Draw a graph of the situation. How long would it take to pump 1,080 gallons of​ water? Find the number of gallons pumped each minute.

Answers

Answer:

1,080 gallons of water pumped would take 54 minutes. 1 Minute= 20 gallons pumped

1080 gallons would take one minute

i need help with this problems

i need help with this problems

Answers

Answer:

Step-by-step explanation:

y = mx + b

0 = 300,10 + 240 =550  

jenna wants to wrap a shipping box shaped like a rectangular prism. The box is 22 inches tall and has a square base with sides that each measure 5 inches. How much paper will she​ use?

Answers

Answer: 420

Step-by-step explanation:

answer to the question is 420

Royston is driving to a popular amusement park with his family.
Royston’s car had 15 1/5 gallons of gas at the start of the trip. During the trip, he stopped at a gas station and refueled the car with 5 3/5 gallons. If the car consumed 17 4/5 gallons of gas during the trip, there are still ___ gallons of gas remaining in the tank.

Answers

You Answer is 3

Step-by-step explanation:

15 1/5 + 5 3/5 = 20 4/5

20 4/5 - 17 4/5 = 3

Use the distributive property to multiply.

-6(-3m+1)

Answers

Answer:

18m-6

Step-by-step explanation:

What is the domain of the relation graphed below?

What is the domain of the relation graphed below?
What is the domain of the relation graphed below?

Answers

-5,-4,-3,1,2,5 I think.
I believe it’s the 3rd one

[NEEDED ASAP] OPTIONS SHOWN IN IMAGE
Georgia Connections Academy is selling tickets to its Spring Fling. Adult tickets cost $4 and student tickets cost $2.50. The school makes $2,820. Write an equation that represents this situation to find the cost of all adult and student tickets sold. Use the variable s for student tickets and a for adult tickets sold.

[NEEDED ASAP] OPTIONS SHOWN IN IMAGEGeorgia Connections Academy is selling tickets to its Spring Fling.

Answers

Answer:

Step-by-step explanation:

We use a for Adult and s for Student.

Assuming this, you have to start by writing two equations from the information provided:

900 total tickets were sold    

       a+s=900                             ------(i)

they made $2,820 and  adult tickets cost $4 and kids tickets cost $2.50

      2820=4a+2.5s                    ------(ii)

lets solve for a in the first equation:

a=900-s                      

we can plug this into the second equation and solve for s

2820=4(900-s)+2.5s

2820=3600-4s+2.5s

2820=3600-1.5s

-780=-1.5s

s=520

we can plug this into the first equation and solve for a:

a+520=900

a=380

Total adult ticket sold : 380

Total student ticket sold = 520

Cost of adult tickets = 380 * 4 = $1520

Cost of student tickets = 520 * 2.5 = $1300

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A characteristic that distinguishes monopoly from oligopoly is O many buyers and sellers. O barriers to market entry. O the lack of close substitutes. O long-run economic profits. Two families went to Rollercoaster World.The Brown family paid $170 for 3 children and 2 adults.The Peckham family paid $360 for 4 children and 6 adults.If \displaystyle xx is the price of a child ticket in dollars and \displaystyle yy is the price of an adult ticket in dollars, write a system of equations that models this situation and then solve it to find out how much each type of ticket costs. Alfonso has a $10 bill. At the grocery store, he buys a loaf of whole wheat bread for $1.99 and 9 bananas. He gets $5.13 in change. What is the price of one banana? 1. explain three examples of how fitzgerald illustrates that gatsby is nervous about seeing daisy again, through his use of indirect characterization. Find the point at which the line meets the plane. x= -3+ 40, y = 2 + 3t, z = 6t; x+y+z= 12 The point is (x.y,z)= Why did the establishment of sugar plantations lead to the growth of slavery?(do not copy from the internet please, write in your own words) Jonas Jenkins is the president elect. Question in the image Point A is the incenter of DEF.Point A is the incenter of triangle D E F. Lines are drawn from the points of the triangle to point A. Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Y, and A Z. Angle L D A is 27 degrees. Angle A D M is (3 n minus 6) degrees. Langerhans cells are part of the skin's immune defenses and activate other immune cells when the skin is invaded by microbes. Which layer of the epidermis contains Langerhans cells As you finish the story, record any details that relate to the topic of American identity. newborn reflexes make ___________ possible in the young infant. How many muscles are in the human body? I need help now Given the following information find the radius Julie heats up 12 gallon of milk to make hot cocoa for herself and 7 friends. What fraction of a gallon does each person receive? Both Thank You, Mam and The Strangers That Came to Town are stories that deal with compassion. Which statement best explains how compassion is treated the two texts?A. In Thank You, Mam, Mrs. Jones chooses to be understanding toward Roger. In The Strangers That Came to Town, the community recognizes how it has misjudged the Duvitch family. B. In Thank You, Mam, Mrs. Jones forgives Roger. In The Strangers That Came to Town, the Duvitch family refuses to forgive the community.C. In Thank You, Mam, Mrs. Jones reprimands Roger. In The Strangers That Came to Town, the community shuns the Duvitch family. D. In Thank You, Mam, Mrs. Jones is kind to Roger. In The Strangers That Came to Town, the children in the community bully the Duvitch children.Thank you for helping me :P Prove: The difference of the reciprocalsof two successive integers equals theproduct of their reciprocals.11-nn + 1[?]n(n + 1)[ ].[n n+1 How was the settlement of Texas affected by the economic motivations of Stephen F. Austin and Martin de Lean?(A) They never pursued their economic interest, so they had minimal impact on Texas settlements.(B) They used money from their companies to assist Texans in establishing better transportation routes.(C) They were each rich prior to moving to Texas, and they invested their wealth in local Texas companies.(D) They were each drawn to a land offer from Spain, and brought many people to Texas. according to classical macroeconomic theory, changes in the money supply change nominal but not real variables. a. true b. false What is the Boiling Point Elevation if 0.47 moles of Cr(NO3), is dissolved in 1000 g of water?