Could someone help me out?

Could Someone Help Me Out?

Answers

Answer 1

Since the grade of the numerator and the denominator is the same, then the limit exists and is distinct from 0. The limit of the expression is 4/7.

How to determine the limit of a rational expression when x tends to infinite

In this problem we must apply some algebraic handling and some known limits to determine whether the limit exists or not. The limit exists if and only if the result exists.

[tex]\lim_{x \to \infty} \frac{4\cdot x - 1}{7\cdot x + 3}[/tex]

[tex]\lim_{x \to \infty} \frac{4\cdot x - 1}{7\cdot x + 3} \cdot \frac{x}{x}[/tex]

[tex]\lim_{x \to \infty} \frac{4 - \frac{1}{x} }{7 + \frac{3}{x} }[/tex]

[tex]\lim_{x \to \infty} \frac{4}{7}[/tex]

4/7

Since the grade of the numerator and the denominator is the same, then the limit exists and is distinct from 0. The limit of the expression is 4/7.

To learn more on limits: https://brainly.com/question/12207558

#SPJ1


Related Questions

Does anyone know the solution to the 11th number sum? Thank you!

Answers

Answer:

20

Step-by-step explanation:

Correct option is A)

let the number be x.

∴75% of x=15

100

75

×x=15

∴x=15×

3

4

∴x=20

The value of x is 20.

Teachers need to help children to view and describe their world mathematically. Which of the following would NOT be a recommendation?
A. Encourage children to recognize and talk about math in everyday situations.
B. Support children in linking formal math vocabulary, symbols, and procedures to their informal knowledge and experiences.
C. Provide math quizzes to help children learn how to apply their math knowledge.

Answers

Encourage children to recognize and talk about math in everyday situations, this statement teacher not recommendation.

What is mathematics?

Quality, structure, space, and change are the subjects of study in mathematics. The study of mathematics involves utilizing symbols and numbers to quantify and analyze the characteristics of quantities and sets.

It is impossible to encourage kids to understand and discuss arithmetic in normal contexts since the subject's solutions are based on numbers and symbols, which makes it inappropriate.

As a result, option (a) is correct.

Learn more about on  mathematically, here:

https://brainly.com/question/27235369

#SPJ1

117 IS 7.3 PERCENT OF WHAT NUMBER?

Answers

ANSWER: 8.541

8.541 * 7.3% = 117

Calculate the slope of the line between each pair of coordinates.
a. A: (3, 6) and B: (4, -3)
b. C: (-5, -3) and D: (-3, -7)

Answers

Answer
a. -9
b. -2
Slope is found by subtracting
(Y2 - Y1 ) over (X2 - X1)
So for a.
(-3-6) over (4-3) = -9/1 or -9
So for b.
(-7-(-3)) over (-3-(-5)) = -4/2 or -2
**Remember when you minus a minus it becomes a plus
SOLVING

[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]

Calculate the slope of the line between each pair of co-ordinates

[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]

[tex]\LARGE\textsf{Question 1}}[/tex]

The points given are,

[tex]\begin{cases} \bf{(3,6)} \\ \bf{(4,-3) \end{cases}[/tex]

To find the slope [tex]\textbf{M}[/tex] of this line,

we will utilise the [tex]\textbf{Slope Formula}[/tex].

The first thing to do is

to put in the co-ordinates

of the two points given.

[tex]\bf{\dfrac{-3-6}{4-3}}[/tex] | subtract on top and bottom

[tex]\bf{\dfrac{-9}{1}}[/tex] | divide on top and bottom

[tex]\bf{-9}[/tex]

[tex]\LARGE\textsf{Question 2}[/tex]

The points given this time are,

[tex]\begin{cases} \bf{(-5,-3)} \\ \bf{(-3,-7)} \end{cases}}[/tex]

Last time we needed to

put in the co-ordinates.

Similarly, we ought to

put in the co-ordinates

in this problem.

[tex]\bf{\dfrac{-7-(-3)}{-3-(-5)}}[/tex] | simplify

[tex]\bf{\dfrac{-7+3}{-3+5}}[/tex] | add on top and bottom

[tex]\bf{\dfrac{-4}{2}}[/tex] | divide on top and bottom

[tex]\bf{-2}[/tex]

[tex]\cline{1-2}[/tex]

[tex]\bf{Result:}[/tex]

                         [tex]\bf{\begin{cases}\bf{Slope=-9} \\ \bf{Slope=-2} \end{cases}[/tex]

[tex]\LARGE\boxed{\bf{aesthetic \not1 \theta l}}[/tex]

What number exceeds y by 4 less than x

Answers

Answer: y + x - 4

Step-by-step explanation:

   We will write an expression for this "number" by looking at the details given.

exceeds y { can become } y +

4 less than x { can become } x - 4

    Now we will put the parts together.

y + x - 4

       The number that answers this question is:

               y + x - 4

    Read more about writing an expression for this question here:

https://brainly.com/question/3507785

Y+4-x because to get a number exceeding this, you will have to add something, namely (x-4) so the answer is y+x-4.
(this requires that x>4, by the way)

Pls help! Geometry
A)what is the area of square?
B)area of the circle?
C)area of shaded?

Answers

(a) The side length of the square is 8 m, so its area is 64 square m.

(b) The radius of the circle is 4 m, so its area is [tex](\pi)(4^{2})=16\pi[/tex] square m.

(c) Subtracting areas, we get the area of the shaded region is [tex]64-16\pi[/tex] square m.

Which problem solving strategy would be best to solve this problem?Austin, Texas is two hours ahead of San Diego, California. If the time in Austin is 1:00 P.M., what time is it in San Diego?A.guess, check and reviseB.use a formulaC.work backwardsD.write an equation

Answers

Answer:

D. Write an equation

Step-by-step explanation:

x = The time of Sand Diego

t = Current designated time

n = The difference in time

So the equation is x = t+/-n.

You can determine if it would be + or - based of the word problem.

For this word problem the equation is x = 1:00pm - 2hrs

Hope this helps.

There are 32 students in the orchestra and twice that number in the band. There are 19 boys and 11 girls in the choir. If each student only participates in one group, how many students total are there in the orchestra, the band, and the choir?

Answers

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. The total number of students that are in the orchestra, the band, and the choir is 126.

What is Addition?

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

There are 32 students in the orchestra and twice that number in the band. Therefore the number of students in the band is:

Number of students in band = 2 (Number of students in Orchestra)

                                                = 2 × 32 = 64

The number of students in the Choir is the sum of the number of boys and girls. Therefore, the number of students in the Choir is,

Number of students in the Choir = 19 + 11 = 30

Total number of students = 32 + 64 + 30 = 126

hence, the total number of students that are in the orchestra, the band, and the choir is 126.

Learn more about Addition:

https://brainly.com/question/14092461

#SPJ1

Write a sentence that describes the relationship between the dependent variable and the independent variable. (Hint: Ratio language can help.)

Sentence : "I did 60 brush strokes in 1 minute"

Answers

The dependent and the independent variable in the relationship y=60x are y and x respectively.


What are Independent and dependent variables?

The Independent variables are variables whose value does not depend on any other variable. And it causes the change in other variables.

The dependent variable is those variables whose value is not independent and change in this variable is dependent on the change of the independent variable.

Given that you did 60 brush strokes in 1 minute. Therefore, the rate can be written as,

Rate = 60 strokes per minute

Now, the number of stokes in x minutes can be written as,

y = 60x

where y is the number of stokes,

x is the number of minutes

In the above relation, y is the dependent variable because its numerical value depends on time, while x is the independent variable.

Hence, The dependent and the independent variable in the relationship y=60x are y and x respectively.

Learn more about Independent and Dependent Variable:

https://brainly.com/question/1479694

#SPJ1

7. Three vertices of a parallelogram are (0, 0), (−4,0) and (0, 5). Find all 3 possible coordinates for
the fourth vertex to make a rectangle and 2 different parallelograms. Explain or justify your
coordinate choice of how you know the sides are parallel. Find the lengths of each side
mathematically.
a) rectangle coordinate:
b) parallelogram:
c) parallelogram#2:

Answers

The given vertices combine with the fourth vertex as follows;

a) Coordinates; (-4, 5)

Lengths of the sides; 4 and 5

b) Coordinates; (4, 5)

Lengths of the sides; 4 and √41

c) Coordinates; (-4, -5)

Lengths of the sides; 5 and √41

How can the vertex coordinates be found?

The given vertices are;

(0, 0): The origin

(-4, 0): 4 units to the left of the origin along the abscissa

(0, 5): 5 units above the origin, along the ordinate

a) The point that forms a rectangle is above the point (-4, 0) and to the left of the point (0, 5), which gives;

The coordinates of the point that forms a rectangle is the point (-4, 5)

The lengths of the sides are;

0 - (-4) = 4

5 - 0 = 5

b) The first parallelogram is formed by moving an equal distance of the point (-4, 0) from the origin from the point (0, 5), which gives;

The first parallelogram is formed by the point (4, 5)

The lengths of the sides are;

4 - 0 = 4√((5 - 0)^2 + (4 - 0)^2) = √41

c) The second parallelogram is formed by the moving an equal distance of the point (0, 5) from the origin from the point (-4, 0), which gives;

The second parallelogram is formed by the point (-4, -5)

The lengths of the sides are;

(5 - (-5)) = 5 and √41

Learn more about parallelograms here:

https://brainly.com/question/21474928

#SPJ1

the university of detroit mercy is 3/4 miles from dana’s house. Marygrove college is 2/5 miles from her house. what is the difference in the two distances

Answers

I believe.9 would be the answer

Whats the correct answer answer asap for brainlist?

Answers

Answer:

b elephants and zebras

Step-by-step explanation:

Answer:

Step-by-step explanation:

Comment

I'll give you the answer, but my guess is the question will be deleted because it is in the wrong place.

The answer is B. You might think it is D but those creatures are mostly in North America.


Find the equation of the line.
Through (-11, -1); perpendicular to y=15.

Answers

Answer:

x = - 11

Step-by-step explanation:

y = 15 is a horizontal line parallel to the x- axis

a perpendicular line must therefore be a vertical line parallel to the y- axis with equation

x = c

where c is the value of the x- coordinates the line passes through.

the line passes through (- 11, - 1 ) with x- coordinate of - 11 , then

x = - 11 ← equation of perpendicular line

Answer:

x = -11

Step-by-step explanation:

The line y = 15 is a horizontal line to the x-axis passing which passes through x = 0, y = 15

The line perpendicular to y = 15 passing through (-11, -1) is a vertical line where x = -11 for all values of y including -1

So the equation is x = -11

See attached graph

Theodore invests a total of $11,000 in two accounts paying 8% and 4% annual interest, respectively. How much was invested in each account if, after one year, the total interest was $780.00.

________ was invested at 8% and

______ was invested at 4%.

Answers

The amount loaned at the interest rate of 8% is $2,500.

The amount loaned at the interest rate of 4% is $8,500.

What are the linear equations that represent the question?

a + b = 11,000 equation 1

0.08a + 0.04b = 780 equation 2

Where:

a = amount loaned at the interest rate of 8%b = = amount loaned at the interest rate of 4%

How much was loaned at 8% and 4%?

In order to determine how much was loaned at 4%, take the following steps:

Multiply equation 1 by 0.08

0.08a + 0.08b = 880 equation 3

Subtract equation 2 from equation 3:

0.04b = 100

Divide both sides by 0.04:

b =  $2500

Subtract 2,500 from 11,000 :

11,000 - 2,500 = $8,500

To learn more about interest, please check: brainly.com/question/26164549

#SPJ1

2 In the diagram below of AABC, TV || BC, AT = 5,
TB = 7, and AV = 10.
B
A
What is the length of VC?
1) 3-1/2
2) 7-½-1
3) 14
4) 24
C
4

Answers

Answer:

14

Step-by-step explanation:

AT/TB = AV/VC

5/7 = 10/VC

VC = 14

For the given figure length of VC = 14.

In the given figure,

We can see that,

ΔATV and ΔABC are similar triangle,

Since we know that,

Similar triangles are triangles that have the same shape but differ in size. Similar items include all equilateral triangles and squares with any side length. In other words, if two triangles are identical, their corresponding angles and sides are congruent and in equal proportion. The '' sign here denotes the resemblance of triangles.

Therefore,

AT/TB = AV/VC

It is given that,

AT = 5

TB = 7

AV = 10

Now put these values we get,

⇒ 5/7 = 10/VC

⇒ VC = 14

Hence,

Length of VC  is 14 units.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ6

Question 2(Multiple Choice Worth 5 points)
(01.05 LC)
If x² = 10, what is the value of x?
O ± √ 10
O± √20
+5
+20

Answers

Answer:

If you mean:

x² = 10

√x² = √10

x = √10

if you meant:

2x = 10

2x/2 = 10/2

x = 10/2

x = 5

hope this helps

If you mean x^2 then there would be no answer after all, 3^2= 9 and 4^2= 16 so

If you mean 2x then the answer would be 5

Step-by-step explanation:

:0

how did you find the height? thats what im confused on. A=(1/2)b x (h)

Answers

A triangle is a three-edged polygon with three vertices. The height of the triangle can be written as h = (2A)/b.

What is a triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The complete question is:
Given the equation of the area of a triangle. how did you find the height of the triangle? A=(1/2)b x (h)

(Hint: Solve the equation for h)

Given the equation of the area of the triangle. Therefore, the height of the triangle can be written as,

A=(1/2)b x (h)

2A = b x h

h = (2A)/b

where h is the height of the triangle and b is the length of the base of the triangle.

Hence, the height of the triangle can be written as h = (2A)/b.

Learn more about Triangle:

https://brainly.com/question/2773823

#SPJ1

F THREE DIAGONALS ARE DRAWN INSIDE A HEXAGON WITH EACH ONE PASSING THROUGH THE CENTER POINT OF THE HEXAGON, HOW MANY TRIANGLES ARE FORMED?

Answers

If three diagonals are drawn inside a hexagon with each one passing through the center point, six triangles are formed.

Diagonals in a hexagon

There are nine diagonals in a regular hexagon

But for one with three diagonals drawn through the center, six equilateral triangles are formed.

Thus, if three diagonals are drawn inside a hexagon with each one passing through the center point, six triangles are formed.

Learn more about a hexagon here:

https://brainly.com/question/1592456

#SPJ1

Which system of equations is represented in the graph? On a coordinate plane, a horizontal line is at y = negative 2 and another line goes through (0, negative 3) and (6, 0). y = negative 2. x minus 2 y = 6. y = negative 2. x + 2 y = 3. x = negative 2. 2 x minus y = 3. x = negative 2. 2 x + y = negative 3.

Answers

The system of equations that is represented in the graph is:,y = -2.x-2y =6..Option B is correct.

What is a graph?

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

Two lines may be seen on the graph:

y = -2

The lines pass through (-3) and  (6, 0). We use the slope-intercept form to get the second line's equation: y=mx+c

m = 0-(-3)/(6-0)

m=3/6

m=1/2

Substitute the values as;

[tex]\rm y = \frac{1}{2}x+c[/tex]

For the point x = 0 and y = -3

[tex]\rm y = \frac{1}{2}x-3[/tex]

The equation can be written as;

x - 2y = 6

The system of equations that is represented in the graph is:,y = -2.x-2y =6..

Hence, option B is correct.

To learn more about the graph, refer to the link;

https://brainly.com/question/14375099

#SPJ1

In circle A shown below the measure of angle BAD is 148 degrees If mBC is 102 degrees, what is mCD?

Answers

The measure of arc CD from the given figure is 46 degrees

Circle theorem

From the attached figure, the expression below is true;

arcBC + arcCD = <BAD

Given the following

<BAD = 148 degrees

arcBC = 102 degrees

Substitute

arcCD =148 - arcBC

arcCD = 148 - 102

arcCD = 46 degrees

Hence the measure of arc CD from the given figure is 46 degrees

Learn more on circle theorem here; https://brainly.com/question/26594685

#SPJ1

What are the factors of 32Round the following items to the nearest £1:

Item
Cost
Cost rounded to nearest £1
Notebook
£2.15
£
Pencil Case
£3.80
£
Colouring Pencil
£1.49
£
?

Answers

The factors of 32 as required in the task content are; 2, 4, 8, 16, 32.

What are the factors of 32?

The factors of the number 32 as required in the task content are numbers whose multiples amount to 32 and are as listed above.

The item prices as given in the task content rounded to the nearest £1 are;

Notebook

£2.15 = £2

Pencil Case

£3.80 = £4

Colouring Pencil

£1.49 = £1

Read more on rounding off;

https://brainly.com/question/12263092

#SPJ1

i need help with the problem PLS help

Answers


1) It's best to draw out a picture of a rectangle and label each corner with the coordinates given: Let's say (-5, 2) is point A, (-5, -2 1/3) is point B, (2 1/2, 2) is point C, and (2 1/2, -2 1/3) is point D.

2) That being said, line AB is one side of the rectangle, BC is another, CD is another, and lastly, AD is the fourth side.

3) We can use the distance formula and plug in the coordinates of each line to find how long every side is. Then you just need to solve it.

For example: if I want to find how long side AB is, I would use the point A (-5, 2) and B (2 1/2, 2) and plug them into the distance formula, where (-5, 2) is (x1, x2) and (2 1/2, 2) is (x2, y2) and solve that.

4) Repeat this process with side BC, CD, and AD, and add the results together. This will be your final answer; the perimeter of the rectangle.

If PQRS is a rhombus,which statement must be true? Check all that apply.

Answers

Answer: A, B, C, D

Step-by-step explanation:

A. This is true because all rhombi are parallelograms, and diagonals of a parallelogram bisect each other.

B. This is true because the diagonals of a rhombus are perpendicular.

C. This is true because diagonals of a rhombus bisect the angles from which they are drawn,

D. This is true because all sides of a rhombus are congfruent.

E. This is not always true - all rhombi are parallelograms, and adjacent angles of a parallelogram are supplementary, but not always congruent.

F. This is not always true - diagonals of a rhombus are not always congruent.

Describe the transformations to the graph of y = x² to obtain y = -2 ( x + 5 )²- 3 .

Answers

Using translation concepts, the transformations are given as follows:

Reflection over the x-axis.Vertical stretch by a factor of 2.Shift left of 5 units.Shift down by 3 units.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is given by:

y = x².

The translated function is:

y = -2(x + 5)² - 3.

In this problem, we have that:

The function was multiplied by -2, hence it was reflected over the x-axis, as it was multiplied by a negative value, and vertically stretched by a factor of 2.x -> x + 5, hence the function was shifted left 5 units.y -> y - 3, hence the function was shifted down 3 units.

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

If property taxes (part of the fixed costs) are decreased by $12,000 per year, what effect does this have on the graph of the cost function?

Answers

Option D. If property taxes are decreased by $12000, the effect that it would have on the cost function is shifts downward by 12 units.

How to solve for the effect on the graph

We have a function of this type

fx = Ax + B

where A = labor and material

B = fixed cost

We have a graph of this form. g(x) = ax + b - 12, with b and a representing costs in thousands of American currency.

Complete question

A factory has a linear cost function f(x)=ax+b, where b represents fixed costs and a represents the labor and material costs of making one item, both in thousands of dollars. If property taxes (part of the fixed costs) are decreased by $12,000 per year, what effect does this have on the graph of the cost function? a. shifts to the left by 12 units b. shifts to the right by 12 units c. shifts upward by 12 units d. shifts downward by 12 units

Read more on cost function here:

https://brainly.com/question/25109150

#SPJ1

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.

P(X<5), n=6, p=0.3

Answers

The required probability of success is given by 0.98906500

Assume the random variable X has a binomial distribution with the given probability of obtaining a success.
P(X<5), n=6, p=0.3

What is binomial distribution?

In binomial distribution for number trials we are investigating the probability of getting a success remain the same.


n = number of trails,
p = probability of success
x = the number of success

p(x<5) = P(x=0)+ p(x=1) + p(x=2)+p(x=3)+p(x=4)

= [tex]\binom{6}{0}(0.3)^0(1-0.3)^6+\binom{6}{1}(0.3)^1(1-0.3)^5+\binom{6}{2}(0.3)^2(1-0.3)^4+\binom{6}{3}(0.3)^3(1-0.3)^3+\binom{6}{4}(0.3)^4(1-0.3)^2[/tex]

p(x<5) = 0.98906500

Thus the required  probability of success is given by 0.98906500

Learn more about Binomial distribution here:
https://brainly.com/question/14565246

#SPJ1



HELP ME!!!!Question 13 of 25
What is the approximate value of tan B?
h
17.46
16
A. 2.29
B. 0.40
C. 0.44
D. 0.92

Answers

Answer: A

tan= Opposite ÷ Alternate

tan B= 16 (which is the opposite side of B) ÷ 7 (it's the side beside B, excluding 17.46 as it's the hypotenuse)

Therefore 16÷7 = 2.285714286

= 2.29 (3sf)

Answer:

just choose one

Find the radius of a circle with diameter 91yd

Answers

Answer: 45.5yds

Step-by-step explanation:

- the radius is simply half of the diameter so: 91 / 2= 45.5yd

- so the radius is 45.5yds

hope this helps :)

r= d/2 = 91/2 =45.5yd

At the beginning of a population study, a city had 370,000 people. Each year since, the population has grown by 6. Let be the number of years since start of the study. Let y be the city's population . Write an exponential function showing the relationship between y and

Answers

The exponential function that gives the relationship between y and t is:

[tex]y = 370000(1.06)^t[/tex].

What is an exponential function?

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

A(0) is the initial value.r is the growth rate, as a decimal.

In this problem, the parameters are given as follows:

A(0) = 370000, r = 0.06.

Hence the equation is:

[tex]y = A(0)(1 + r)^t[/tex]

[tex]y = 370000(1 + 0.06)^t[/tex]

[tex]y = 370000(1 .06)^t[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

An angle measures 87.6° less than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer:

1.2° and 88.8°

Step-by-step explanation:

Complementary angles are angles that add up to 90°.

Let's say angle 1 is x, and angle 2 is 87.6 less than x.

We already know that angle 1 + angle 2 = 90, so we can just substitute x now.

We know that complementary angles add up to 90, so one of the angles is 90-x, and the other one is 90-x-87.6.

x = (90 - x) - 87.6

Simplifies to:

x = 2.4-x

Add x to both sides

2x = 2.4

Divide by 2

x = 1.2

To get the other angle, add 87.6 to 1.2

1.2+87.6 = 88.8

So, angle1 = 1.2, and angle2 = 88.8

Let's check our work.

88.8 + 1.2 = 90, so the angles are complementary and have a difference of 87.6

Hope this helps (:

Answer:

1.2°, 88.8°

Step-by-step explanation:

let one angle=x

other angle=y

y=x-87.6

also  

x+y=90

x+x-87.6=90

2x=90+87.6=177.6

x=88.8

other angle=88.8-87.6=1.2

Other Questions
Use any method to solve the equation. If necessary, round to the nearest hundredth.7x^2-16x=8 Which three actions did the Allied forces take to bait German troops away from the coast of France in preparation for D-Day under the command of General Patton? NH4+H2O NH3+H3OWhich one is acting weaker base? Zahra is typically a good student, though her chemistry class is very challenging. She is uncertain whether she will do well on an upcoming exam. The night before the exam, her friend invites Zahra to a party. What does research on self-handicapping suggest Zahra will do Greetings. As a beginner, I'm struggling a bit to learn calculus. May I know what is the derivative of x to the power 4 step by step?Thanks in advance! Which equations have the same value of x as 5/6x + 2/4 = -9? Select three options.6(5/6x + 2/3)= -96(5/6x + 2/3)= -9(6)5x+4-545x4-95x=-135x=-58 Which property is does3 + (( 3) + 4) = (3 + ( 3)) + 4 represent?commutativeassociativedistributiveidentityinverse Let $m$ and $n$ be positive integers such that $m$ has exactly 5 positive divisors, $n$ has exactly 6 positive divisors, and $mn$ has exactly 14 positive divisors. How many distinct prime factors does $mn$ have which of the following was often used as money in the aztec economy Which shows the equation in point-slope form of the line passing through the given point with the given slope?(0, 5), m=13y5=13xy=13x5 y5=13xy=x+13 What is the value of X which element of an effective plot line helps move the story toward and keep the reader engaged What was the impact that the Arabs had on Africa during the Middle Ages? What role does the house of representatives have in the impeachment process. A full can of milk weighs 70 pounds. If exactly half of the milk is poured out, it weighs 38 pounds. How much does the empty can weigh? A 500 N weight is hung at the middle of a rope attached to two buildings at the same level. If the breaks in the tension exceed 1800 N, what is the minimum angle the rope can make with the horizontal? Group of answer choices 4o 8o 11o 18o What characteristics makes a civic issue a civic issue Which statement correctly explains how to prove ABCDEF? If you place a 3.5-kg object on a spring which has a spring constant 144-N/m, and stretch the spring so the object starts oscillating. How much time does it take to complete one cycle In Gluttons for Punishment, the author compares the competitive eaters to pigs at a trough to show thatA they are all overweight and unhealthy.B they eat food from a trough during the competitions.C they sloppily eat whatever is put in front of them.D competitive eating is not a real sport.