Determine whether the vectors in each pair are normal to each other. (6,-3) and (2,4).

Answers

Answer 1

Since their dot product is zero, then (6,-3) and (2,4) are normal to each other.

Step-by-step explanation:

Two vectors are said to be normal or perpendicular to each other if the result of their dot product is equal to zero.

These two vectors are also called orthogonal to each other.

Let u = (u₁, u₂) and  v = (v₁, v₂), then the dot product u . v is defined as:

u . v = u₁v₁ + u₂v₂

To check whether the vectors are normal to each other, let us check their dot product.

The given vectors are: (6,-3) and (2,4).

Let u = (6, -3) and  v = (2, 4), then,

u . v = 6 . 2 + (-3) . 4

        = 12 + (-12) = 0

Since u.v = 0, then (6,-3) and (2,4) are normal to each other.

Learn more about normal vectors here:

https://brainly.com/question/2283992

#SPJ4


Related Questions


Solve each equation. Check your answers.
1.1+ln x²=6

Answers

After solving the equation 1.1+ln x²=6, the value of x is equal to  [tex]\sqrt{e^{4.9}}[/tex]

How to solve an equation?

To solve linear equations, utilize the steps that are provided below.

Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

We have been asked to find x in 1.1+ln x²=6

⇒ 1.1+ln x²=6

⇒ ln x² = 6 - 1.1

⇒ ln x² = 4.9

⇒ x² = [tex]e^{4.9}[/tex]

⇒ x  =  [tex]\sqrt{e^{4.9}}[/tex]

Thus,  x =  [tex]\sqrt{e^{4.9}}[/tex] in 1.1+ln x²=6

Learn more about  linear equations

https://brainly.com/question/14323743

#SPJ4

Etsuko practices origami. The square papers she used have a side length of either 7.5 cm or 25.4 cm. Etsuko says the length of the larger paper is 32.9 cm greater than the length of the smaller paper

Answers

To find how many centimeters greater the length of the larger paper is than the length of the smaller paper, the lesser number of centimeters needs to be subtracted from the greater number of centimeters which gives the result that is 17.9cm. Etsuko is incorrect because 25.4 is greater than 7.5cm.

How much greater is the side length of the paper?

The mathematical operation that would be used to determine how much greater the larger paper is compared to the smaller paper is subtraction. Subtraction is the process used to determine the difference between two or more numbers. The sign that is used to represent subtraction is -.

To subtract the numbers, the length of the longer paper would be subtracted from the shorter paper.

Difference in the length of the papers = 25.4 -  7.5 = 17.9cm

Etsuko is wrong because instead of subtracting the lengths, she added the lengths. Addition is used to determine the sum of two or more numbers.

To learn more about subtraction, please check: https://brainly.com/question/854115

#SPJ1

Answer:

It's easy,

To find how many centimeters greater the length of the larger paper is than the length of the smaller paper, the lesser number of centimeters needs to be subtracted from the greater number of centimeters, which gives a result that is between 7.5 and 25.4. Etsuko is not correct because 25.4 cm is 17.9 cm more than 7.5 cm.

Step-by-step explanation:

*Wish you luck on the test*

i need help

simplify: 4^8/4^-4

Answers

Answer:

[tex]4^{12}[/tex]

Step-by-step explanation:

using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , then

[tex]\frac{4^{8} }{4^{-4} }[/tex] = [tex]4^{(8-(-4))}[/tex] = [tex]4^{(8+4)}[/tex] = [tex]4^{12}[/tex]

Question attached below.

Answers

Using linear functions, we have that:

a) The rate of change for Job A is of $14, while the rate of change for Job B is of $17, and these are the hourly pay for each job.

b) The slope represent the hourly pay for each job.

c) The intercepts represent the fixed salary for each job.

d) The pay will be the same on both jobs after 25 hours, of $425, as given by the intersection point on the graph.

e) For 40 hours, the payment on Job A is of $635 and on Job B of $680, hence, due to the higher payment, Tommy should accept Job B.

What is a linear function?

A linear function is modeled by the following rule:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, the change in y divided by the change in x.b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.

For this problem, the two functions are given as follows:

A(h) = 75 + 14h. (slope of 14 as when x changes by 2 y changes by 28).B(h) = 17h. (slope of 17 as when x changes by 2 y changes by 34).

The functions are graphed at the end of the answer.

Hence:

a) The rate of change for Job A is of $14, while the rate of change for Job B is of $17, and these are the hourly pay for each job.

b) The slope represent the hourly pay for each job.

c) The intercepts represent the fixed salary for each job.

The pay will be equal when:

A(h) = B(h)

Hence:

75 + 14h = 17h

3h = 75

h = 25.

d) The pay will be the same on both jobs after 25 hours, of $425, as given by the intersection point on the graph.

For 40 hours, the payments are given as follows:

A(40) = 75 + 14 x 40 = $635.B(40) = 17 x 40 = $680.

Hence:

e) For 40 hours, the payment on Job A is of $635 and on Job B of $680, hence, due to the higher payment, Tommy should accept Job B.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Stefan and Kendrick both walk to work each day. It takes them the same amount of time, even though Stefan lives farther away. One morning, they decide to meet at a coffee shop. The coffee shop is the same distance from each of their apartments. Who will likely get to the coffee shop in less time?

Answers

Answer:

Stefan

Step-by-step explanation:

Stefan

A football team has P points.
P= 3W + D
Wis the number of wins.
D is the number of draws.
a) A team has 5 wins and 3 draws.
How many points does the team have?
b) After 35 games a different team has 50 points.
14 games were draws.
How many games has this team lost?

Answers

Answer:

a)18 points

Step-by-step explanation:

a)

[tex]p = 3(w) + d[/tex]

therefore

[tex]p = 3(5 \: wins ) + 3 \: draws [/tex]

find the product of 5 and 3

[tex]p = 15 + 3[/tex]

[tex]p = 18[/tex]

B) how many games lost

[tex]3x + 14 = 50[/tex]

[tex]3x + 14 - 14 = 50 - 14[/tex]

[tex]3x = 36[/tex]

[tex] \frac{3x}{3} = \frac{36}{3} [/tex]

[tex]x = 12 \: games \: won| [/tex]total Games= Games won + games drawn + games lost

[tex]35 = 12 + 14 + x[/tex]

[tex]35 - 26 = 26 - 26 + x[/tex]

[tex] \times = 18 \: games \: lost[/tex]

Can u help me figure this out

Answers

Step-by-step explanation:

what is it you need help in?

URGENT!!Given the function f(x) = 4x − 1 and the linear function g(x), which function has a greater slope? linear function increasing through 2 comma 3 and 3 comma 7 f(x) has a greater slope. g(x) has a greater slope. The slopes of f(x) and g(x) are the same. The slope of g(x) is undefined. WILL MARK BRAINLIEST!

Answers

The slopes of the linear function f(x) = 4x-1  is 4 and of the given linear function g(x)  has  also slope 4 . The option that the slopes of f(x) and g(x) are same is correct.

What is slope of a linear function?

The slope of a linear function is the measure of steepness of the line traced by given linear function.

If a linear function is given by line y = mx +c then the slope is m

If a linear function passes through two given points (x₁, y₁) and (x₂, y₂), then its slope is (y₂ - y₁)/(x₂ - x₁)

Given the function f(x) = 4x -1 then comparing it to the form f(x) = mx + c

Slope of f(x) = m = 4

If it is given that g(x) is increasing through (2,3) and (3,7)

Then the slope of g(x) = (7- 3)/(3-2) = 4/1 = 4

Therefore, Slopes of both f(x) ang g(x) is 4.

Thus, the slopes of f(x) and g(x) are the same.

Also, Learn more about the slope of an linear function here:

https://brainly.com/question/13600073

#SPJ1

Answer:

The answer is they are the same. Just took the test Your welcome!

Step-by-step explanation:

Find the result graphically. Click and drag the arrows to represent each term. Type in the result.
3+(-10)

Answers

The arrow is in -7 on the number line since 3 + (-10) = -7.

What is a number line?

A number line is a pictorial representation of numbers on a straight line.

It is a horizontal line that has equally spread number increments.

We have,

3 + (-10)

This can be written as:

= 3 - 10

= -7

We can draw a number line to represent graphically:

                         <↓-------(subtracting 10)-------------->

< ---------(-9)-(-8)-(-7)-(-6)-(-5)-(-4)-(-3)-(-2)-(-1)-0-1-2-3-4-5-6-7-8------------->

Thus the equation can be represented graphically with an arrow in -7 on the number line since 3 + (-10) = -7.

Learn more about number line here:

https://brainly.com/question/13425491

#SPJ1

A line with slope 12 passes through the point (-6,14)

Answers

Answer:

y = 12x + 86

Step-by-step explanation:

y = mx + b

slope is 12 so m = 12

Using (-6,14) then

14 = 12(-6) + b

14 = -72 + b

b = 72 + 14 = 86

I NEEDDDD HELPPPP ASAPPPP

Answers

Answer:

24

Step-by-step explanation:

the angle should be the same on the other side so wouldn't it be 120 divided by 5 which is 24. I could def be wrong tho sorry hun

What is Point slope Form of
(2, 9); m= -2

Answers

Point-slope: y - 9= -2(x - 2)

Slope-intercept form (Just in case you need it): y = -2x + 13

Germaine is saving money to buy a $367 mountain bike. He plans to save $45 every week from his paycheck until he has enough money. So far, he has saved $62. How many weeks will it take Germaine to get the mountain bike?

Answers

It will take Germaine to get the mountain bike 6.77 weeks (approximately)

let X represent the number of weeks it will take to save enough money

Money to buy a mountain bike = $367

He planned to save money every week from his paycheck  = $45

So far, He had saved money already to buy bike = $62

now the required amount to buy a mountain bike is

$367-$62 = $305

Number of weeks Germaine will take to get the mountain bike is

X = 305/45

X = 6.77 weeks (approx)

It will take Germaine to get the mountain bike 6.77 weeks (approximately).

To know more about calculations

https://brainly.com/question/28563353

#SPJ1


Simplify each expression.
ln e⁴/8

Answers

We will get  Ine⁴/8 after simplifying the given expression ln · e⁴/8.

What exactly is an expression?An expression in mathematics is a sentence that contains at least two numbers or variables and at least one mathematical operation.Math operations include addition, subtraction, multiplication, and division.The structure of an expression is as follows: An expression is (Number/variable, Math Operator, Number/variable).

So,

Given: ln · e⁴/8

Then,

ln · e⁴/8Ine⁴/8

Therefore, we will get  Ine⁴/8 after simplifying the given expression ln · e⁴/8.

Know more about expressions here:

brainly.com/question/723406

#SPJ4

At the gym, Hillary swims every 5 days and runs every 7 days. If she did both activities today, in how many days will she do both activities again on the same day?​

Answers

Answer:

She will actually do it on the 35th day of gym


Simplify. 4√162 +3 4√32

Answers

The question focuses on indices. Start by factorization of 162 and 32. Simplifying 32 yields 2^5 and 162 gives 3^4×2. Simplify the two expressions using the factors. Use the indices rule implying: b√a^c =a^(c⁄b)

∜162+3∜32

162= 81×2=3^4 ×2

32 = 2^5 = 2^4 ×2

∜(2×3^4 )+3∜(2^4×2)=∜(3^4 ) ∜2+3∜2^4 ∜2

3^(4⁄4)× ∜2+3×2^(4⁄4)×∜2 = 3×∜2+3×2∜2

3∜2+6∜2 = ∜2×(3+6) = 9∜2

= 9∜2  

Find out more on indices at: brainly.com/question/11116645

#SPJ4

(8 + 3²) x 3 quick asking 4 a friend

Answers

The answer is 51 because 3^2 is 9 so 8+9=17 and 17*3 is 51

What is the product of -15 and -3

Answers

Answer:

45

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Guide to follow:}[/tex]

[tex]\large\text{The word \boxed{\rm{difference}} means subtraction/subtract.}[/tex]

[tex]\large\text{The word \boxed{\rm{product}} means addition/add.}[/tex]

[tex]\large\text{The word \boxed{\rm{quotient}} means division/divide.}[/tex]

[tex]\large\text{The word \boxed{\rm{product}} means multiplication/multiply.}[/tex]

[tex]\large\text{Also guide to follow:}[/tex]

[tex]\large\text{2 negatives gives you a positive}[/tex]

[tex]\large\text{2 positives gives you a positive as well}[/tex]

[tex]\large\text{1 negative \& 1 positive gives you a negative}[/tex]

[tex]\large\text{1 positive \& 1 negative gives you a negative as well}[/tex]

[tex]\large\textsf{So, in this particular question we're doing multiplication because the}\\\large\textsf{key term in the word phrase is \boxed{\textsf{product}}. }[/tex]

[tex]\large\text{Now, that we have that information out of the way we can answer}\\\large\text{your given question.}[/tex]

[tex]\large\text{The product of }\large\text{-15 and -3 is translated to \boxed{\rm{-}\large\text{15 }\times\ -\large\text{3}}}[/tex]

[tex]\large\text{Equation: }\rm{-15\times-3}[/tex]

[tex]\large\text{Simplify the equation we have gathered above and you should have}\\\large\text{pverall answer.}[/tex]

[tex]\large\text{We have received was 45}[/tex]

[tex]\huge\text{Therefore, your answer should be \boxed{\mathsf{45}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]


Molly is making a punch for the school picnic. The recipe calls for 3/4 quart of lemonade, 3 cups of cranberry juice, 4 cans of orange juice concentrate, and 5 cups of water. If Molly uses 1(2/5) quarts of lemonade, how many cups of cranberry juice will she need?

Answers

She will need 5 3/5 cups of cranberry juice to make a punch for the school if Molly uses 1 2/5 quarts of lemonade.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

To make the recipe,

3/4 quart of lemonade and 3 cups of cranberry juice

The ratio of cranberry juice to a quart of lemonade

⇒ 3/(3/4) = 4

To make the same recipe with 1(2/5) quarts of lemonade the ratio of cranberry juice to a quart of lemonade must be maintained.

So,

4 = cranberry juice / 1(2/5)

(5/7) × cranberry juice = 4

Cranberry juice = 28/5 ⇒ 5 (3/5).

Hence "She will need 5 3/5 cups of cranberry juice to make a punch for the school if Molly uses 1 2/5 quarts of lemonade".

For more information about ratio and proportion,

brainly.com/question/26974513

#SPJ1

is the expression (17)/(2)g-(9)/(2)h the same as (9)/(2)h-(17)/(2)g ? Explain.

Answers

The fraction expression (17)/(2)g - (9)/(2)h is not the same as (9)/(2)h-(17)/(2)g.

How to subtract fractions?

We are given the fraction expression;

(17/2)g - (9/2)h

Now, the fraction (17/2) is greater than (9/2) and as such the result of the subtraction of the fractions will be positive.

Now, if we change the order of the subtraction to be;

(9/2)h - (17/2)g

This means that the result will now be negative since (9/2) is less than (17/2).

Thus, we can conclude that the expression (17)/(2)g - (9)/(2)h is not the same as (9)/(2)h-(17)/(2)g.

Read more about subtraction of fractions at; https://brainly.com/question/4596966

#SPJ1

3ax + 2b/c = 4d
Solve for x

Answers

Answer is x=4cd-2d/3ac


Step 1: Multiply both sides by c.
3
a
c
x
+
2
b
=
4
c
d

Step 2: Add -2b to both sides.
3
a
c
x
+
2
b
+

2
b
=
4
c
d
+

2
b
3
a
c
x
=
4
c
d

2
b

Step 3: Divide both sides by 3ac.
3
a
c
x
3
a
c
=
4
c
d

2
b
3
a
c
x
=
4
c
d

2
b
3
a
c

DF
bisects LEDG. Find the value of x. The diagram is not to scale.

Answers

Answer:

x = 6

Step-by-step explanation:

Since ray DF bisects angle EDG, angles EDF and GDF are congruent. By reflexive property of congruence, ray DF is congruent to ray DF. Since all right angles are congruent, angles FED and FGD are congruent. By AAS, triangles FED and FGD are congruent. Since corresponding parts of congruent triangles are congruent, segments EF and GF are congruent, so 8x + 42 = 15x

7x = 42

x = 6

The answer is x=6
Hope it help

Greta wrote a total of 8 pages over 2 hours. After spending 3 hours writing this week, how many pages
will Greta have written in total?

Answers

The number of 12 pages written by Great in 3 hours.

What exactly is the unitary method?The unitary method is used to determine the value from one unit provided a multiple.Furthermore, once the value of a single unit has been determined, we can multiply a certain number by the number of units required. This methodology is normally used to demonstrate ratio and proportion concepts.

For the given question;

Time take by Greta to write total of 8 pages is 2 hours.

Use unitary method for solving;

2 hours --------> 8 pages.

Divide both side by 2.

1 hour -------> 4 pages.

Now, fore finding the number of pages written in 3 hours.

Multiply each side by 3.

3 hours ---------> 12 pages.

Thus, the number of pages written by Great in 3 hours are 12 pages.

To know more about unitary method, here

brainly.com/question/917963

#SPJ9

1. I look like this _ _ _ _ . _

2. all of my digits are odd.

3. my thousands digit is equal to the sum of my tens, ones, and tenths digit.

4. my tenths and ones digits are equal

5. the product of my tenths and ones is more than my tens digit

6. my hundreds digit is larger than my thousands digit


Answers

Answer:

I think the answer could be 7913.3

Step-by-step explanation:

Using clue number 2 we know that all the numbers in this are odd so that mean the only numbers that can be there are 1,3,5,7 and 9 Using clues 3 and 4 there are a few combinations some of which can be 1 + 1 + 3 = 5 , 1 + 1 + 7 = 9, 1 + 1 + 5 = 7, and 3 + 3 + 1 = 7 With clue 5 in being mentioned the dights in the ones place can't be 1 and 1 because it would equal one and any other dight besides it would be greater then that so I went with 3 and 3 as the tenths and ones dights since 3 × 3 = 9 and 1 being in the tenths place is less then 1The only other clue is clue 6 which means that the hundreds dights has to be a odd number greater than 7 and 9 is the only option that's greater than 7. The number is 7,913.3

What is the volume of the cuboid in cm3 ?

What is the volume of the cuboid in mm3

Answers

Answer:

3150mm

Step-by-step explanation:

1cm is 10mm you convert it then times it together l x b x h will equal 3150

Classify each number as rational or irrational:
Help asap

Answers

[tex]\textsf{Hi Brainy User, I'm Here to Help you!}[/tex]

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\textsf{\textbf{Rational} and \textbf{Irrational} numbers}[/tex]

[tex].\qquad\bullet\textsf{\textbf{Rational} numbers can be written in fraction form, p/q.}\\.\qquad\bullet\textsf{\textbf{Rationals} can be \textbf{terminating} fractions.}[/tex]

[tex]\therefore[/tex]

[tex].\qquad\bullet\textsf{\textbf{Irrational} numbers \textbf{cannot} be written \textbf{as fractions.}}[/tex]

[tex]\textsf{These are the \textbf{rationals:}}[/tex]

[tex]\boldsymbol{\dfrac{11}{3}}[/tex]

[tex]\boldsymbol{0.01045}[/tex]

[tex]\boldsymbol{\sqrt{\dfrac{16}{81}} }[/tex]

[tex]\boldsymbol{6.25}[/tex]

[tex]\boldsymbol{0.\overline{42}\Leftarrow it's\:a\:terminating\:fraction}[/tex]

[tex]\textsf{These are the \textbf{irrationals:}}[/tex]

[tex]\boldsymbol{\sqrt{48}}[/tex]

[tex]\boldsymbol{16\pi}[/tex]

[tex]\boldsymbol{\sqrt{\dfrac{3}{16}} }[/tex]

[tex]\textsf{We come to the conclusion that there are more rationals than irrationals. \ddot\smile}[/tex] [tex]\ddot\smile[/tex]

[tex]\Large\overbrace{\underbrace{\boldsymbol{\rm{Reflection\:-RoSe}}}}^\star_\star[/tex]

x+y+z=−42x+3y−2z=10−x+2y−3z=−12

Enter your answer, in the form (x,y,z), in the boxes in simplest terms.

Answers

Answer:

x = 13

Step-by-step explanation:

All of the students at Mountain Ridge Middle School take a foreign language. of the students take Spanish. of the students take French. The remaining students take Chinese. What fraction of the students take Chinese?

Answers

Based on the fraction of students who take Spanish, and French and Mountain Ridge Middle School, the fraction of students who take Chinese are 3/40

How to find out the fraction?

To find the fraction of students who take Chinese, subtract the fraction of students who take Spanish and French from 1.

The number of students who take Chinese is therefore:

= 1 - 5/8 - 3/10

= 1 - 25/40 - 12 /40

= 3/40

The full question is:

All of the students at Mountain Ridge Middle School take a foreign language. 5/8 of the students take Spanish. 3/10 of the students take French. The remaining students take Chinese. What fraction of the students take Chinese?

Find out more on fractions at https://brainly.com/question/15091244

#SPJ1


Solve each equation. log₇(2 x-3)²=2

Answers

The solution of the given logarithmic equation is 16.189.

What are the various properties of the logarithm?

Out of several properties of logarithms, some of the main properties are given below:

Product Rule

log (ab) = log a + log b

Change of base

log ₇ x = log x / log 7

Power Rule

log a² = 2 log a

Quotient Rule

log (a / b) = log a - log b

Solving the given equation log₇(2x - 3)² = 2

We are given a logarithmic expression: log₇(2x - 3)² = 2

Using properties of the logarithm, we have

log (2x - 3)² / log 7 = 2

log (2x - 3)² = 2 × log 7

2 log (2x - 3) = 1.6901

log (2x - 3) = 3.3802

Using exponential on both sides,

e^[log (2x - 3)] = e^(3.3802)

2x - 3 = 29.3766

2x = 32.3766

x = 16.189

Hence, the solution of the given equation is 16.189.

To learn more about the properties of the logarithm, visit the link:

https://brainly.com/question/12049968

#SPJ4

What is the slope of the line through (-1,8)(−1,8)left parenthesis, minus, 1, comma, 8, right parenthesis and (3,-4)(3,−4)left parenthesis, 3, comma, minus, 4, right parenthesis?
Choose 1 answer:

Answers

[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-4}-\stackrel{y1}{8}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-1)}}} \implies \cfrac{-12}{3 +1}\implies \cfrac{-12}{4}\implies -3[/tex]

Other Questions
Which of the following is equivalent to y + 8 = 3(x 1)? Why have the characteristics of Western culture spread across the globe? (choose all that apply)European colonizationEuropean pacifismEuropean imperialismEuropean exploration Angles of Triangles #2: Find the angles below Natasha combines 6.54 liters of red paint with 6.09 liters of blue paint to make purple paint. she pours the paint equally into 3 containers, and has 1.68 liters of paint left over. how many liters of paint are in each container? I need like 3 more questions I will post seperately. Brainliest if correct *guaranteed* how did brandeis apply the concept of a living law in the case of muller v. oregon? Expand each logarithm. log[(xy 1/3)+z] HELP WITH THIS QUESTION MATH WIZARDS The entire graph of the function g is shown in the figure below.Write the domain and range of g as intervals or unions of intervals. After four years of higher education, Marshall just graduated with a Bachelor's degree in Physics from NYU where the annual cost of tuition was $20,000. He paid for college by earning $11,000 annually through the work study program and receiving an annual scholarship. He covered the remainder of the costs by taking out $20,000 in student loans. If he didn't fund his education with savings or grant money, what was the amount of Marshall's annual academic scholarship? Can someone help me finish this? (images attached) The equation of the line through the point (2, 3) with slope -2 is Select the correct answer. Consider the formula for the slope between two coordinate points, m, shown below. m = y 2 y 1 x 2 x 1 Which of the following equations is equivalent to the slope formula? A. y 2 = m ( x 2 x 1 ) + y 1 B. x 1 = m ( y 2 y 1 ) + x 2 C. x 2 = m ( y 2 y 1 ) + x 1 D. y 1 = m ( x 2 x 1 ) + y 2 Calculate the total paid hours of the following workers. The weekly pay is $5.15 per hour, with time and a half for any hours beyond 40. Use Method 2. Round all values to two decimal places. a random two-digit number(10-99) is drawn.find the probability p(32) Who would most likely apply for a copyright? Who would most likely apply for apatent? this multi answer so please put multi Which statement explains the primary reason that children worked under such harsh conditions during the early industrial period? Select the number of the correct statement.[1] My name is Amanda. Im 9 years old, and I work in a textile mill. [2] I moved here from my small town to help provide for my family. [3] I get up at 4:30 in the morning with the other girls living in the boarding house. [4] We work for two hours before were given a 10-minute break for breakfast. [5] We work another six hours before being given old bread and beans for our evening meal. [6] Then we work until almost 10:00 at night; we do this six days a week. [7] The mill is hot, dark, and crowded, and most girls cough all the time. [8] For 60 hours of work, I earn only $1 each week. what is a number line and how many ways can you draw a number line? a car accelerates at a constant rate from 15 m/s to 25 m/s while it travels a distant of 125 m how long does it take to achieve the final speed Select the correct answer. The square of y varies directly as the cube of x. When x = 4, y = 2. Which equation can be used to find other combinations of x and y? A. B. C. D.