Um yea anyone want to answer this for me

Um Yea Anyone Want To Answer This For Me

Answers

Answer 1

Answer: 2

Step-by-step explanation:

120/72 = 5/3 or 1.6666

5/3 tutors needed however you cannot have a portion of a tutor so the academy actually needs 2 tutors.

Answer 2

Answer: 10 tutors

Step-by-step explanation: to simplify the numbers a bit we will do 72 students divided by 6 tutors to get 12 (72/6=12). This means we need 1 tutor for every 12 students. Therefore we can take the 120 students and divide that by 12 to get 10 (120/12=10) meaning we need 10 tutors for 120 students.


Related Questions

How does the First Amendment to the Constitution affect American society?


The right to bear arms means many Americans own guns for protection.

The right to bear arms means many Americans own guns for protection.

The right to due process gives Americans a strong sense of ownership of their personal property.

The right to due process gives Americans a strong sense of ownership of their personal property.

The right to a jury trial has created a strong sense of fairness in the criminal justice system among Americans.

The right to a jury trial has created a strong sense of fairness in the criminal justice system among Americans.

The right to a free press allows Americans to have access to many independent sources of news and information.

Answers

The First Amendment to the Constitution affect American society as D. The right to a free press allows Americans to have access to many independent sources of news and information.

What is Constitution?

It should be noted that Constitution simply refers to the rules and laws that guide a group of people especially a country.

In this case, the First Amendment to the Constitution affect American society as The right to a free press allows Americans to have access to many independent sources of news and information.

In conclusion, the correct option is D.

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The correct answer is "The right to a free press allows Americans" to have access to many independent sources of news and info

Explanation:

The First Amendment to the constitution was ratified in 1791, in this it was established government could not interfere in the right to exercise religion or assemble as well as the rights of freedom of speech and freedom of the press. This last aspect implies the government cannot interfere in the circulation of information, according to this, citizens have the right to create sources of news and information to report news or express opinions. Thus, the First Amendment affects American society because "the right to a free press allows Americans to have access to many independent sources of news and info".

Which step is included in the graph of the function f(x)=[x-17?
O y=-5 for-4≤x<-3
O y=-2 for -2≤x<-1
O y=-2 for -2 O y=-5 for -4

Answers

Answer:

y = -2  for  -2 < x ≤ -1

Step-by-step explanation:

Ceiling function

[tex]f(x) = \left\lceil x \right\rceil[/tex]

The least integer that is greater than or equal to x.

Given ceiling function:

[tex]f(x) =\left\lceil x-1 \right\rceil[/tex]

Evaluate values in the given intervals.

[tex]\boxed{-4 \leq x < -3}[/tex]

[tex]\implies f(-4) =\left\lceil -4-1 \right\rceil=\left\lceil -5 \right\rceil=-5[/tex]

[tex]\implies f(-3.1) =\left\lceil -3.1-1 \right\rceil=\left\lceil -4.1 \right\rceil=-4[/tex]

[tex]\boxed{-2 \leq x < -1}[/tex]

[tex]\implies f(-2) =\left\lceil -2-1 \right\rceil=\left\lceil -3 \right\rceil=-3[/tex]

[tex]\implies f(-1.1) =\left\lceil -1.1-1 \right\rceil=\left\lceil -2.1\right\rceil=-2[/tex]

[tex]\boxed{-2 < x \leq -1}[/tex]

[tex]\implies f(-1.9) =\left\lceil -1.9-1 \right\rceil=\left\lceil -2.9 \right\rceil=-2[/tex]

[tex]\implies f(-1) =\left\lceil -1-1 \right\rceil=\left\lceil -2 \right\rceil=-2[/tex]

[tex]\boxed{-4 < x \leq -3}[/tex]

[tex]\implies f(-3.9) =\left\lceil -3.9-1 \right\rceil=\left\lceil -4.9 \right\rceil=-4[/tex]

[tex]\implies f(-3) =\left\lceil -3-1 \right\rceil=\left\lceil -4\right\rceil=-4[/tex]

Therefore, the step that is included in the graph of the given ceiling function is:  y = -2  for  -2 < x ≤ -1.

Graph of the parent ceiling function f(x) = ⌈x⌉

The graph of the parent function has open dots at (x, x+1) and closed dots at (x, x). Each segment is joined with a horizontal line (step).

The open dot means the value is not included, whereas the closed dot means the value is included.

To graph the given ceiling function f(x) = ⌈x - 1⌉

(See attachment).

The y-value is 1 less than the parent function, therefore place open dots at (x, x) and closed dots at (x, x-1). Join each segment with a line (step).

From inspection of the attached graph of the given ceiling function:

The step for  y = -5  is  -5 < x ≤ -4 (shown in blue).The step for  y = -2  is  -2 < x ≤ -1 (shown in red).

This proves that the only step that is included in the graph of the given ceiling function from the given answer options is:  

y = -2  for  -2 < x ≤ -1

Y=35x1 where x is distance and y is height

Answers

The average rate of change of the equation is 35

How to determine the average rate of change?

The equation is given as

y  = 35x^1

Evaluate the quotient x^1

So, we have

y  = 35x

The above equation is a proportional linear equation

A proportional linear equation is represented as

y = mx

Where

m represents the average rate of change

By comparison, we have

m = 35

Hence, the average rate of change of the equation is 35

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Complete question

Given the equation y = 35x^1 where x is distance and y is height, calculate the average rate of change

please help me witht this math problum.

Answers

Answer: 1/3

Step-by-step explanation:

Somebody help me ASAP

Answers

Answer:

⬤ = 8

⬛ = 6

Step-by-step explanation:

⬤ = x

⬛ = y

x + y = 14

x - y = 2

add the numbers on top of each other together:

add x to x = 2x , y + -y = 0 , 14 + 2 = 16

2x = 16

divide both sides by 2

x = 8, plug this back into the equation

8 + y = 14

8 - y = 14

y = 6

help please do the work

Answers

Answer:

16.97

Step-by-step explanation:

[tex]BF=\sqrt{(-2-0)^2 + (1-3)^2}=2\sqrt{2} \\ \\ BC=\sqrt{(0-4)^2 + (3-(-1))^2}=4\sqrt{2}[/tex]

So, the perimeter is

[tex]2(4\sqrt{2}+2\sqrt{2})=12\sqrt{2} \approx 16.97[/tex]


Determine whether set of numbers can be the measures of the sides of a triangle. If so, classify the triangle as acute, obtuse, or right. Justify your answer. 7,24,25

Answers

Given set of numbers 7, 24, 25 represent a right triangle.

By the  triangle inequality theorem , the sum of the lengths of any two sides should be greater than the length of the third side.

Since the sum of the lengths of any two sides is greater than that of the third side, the set of numbers are the measures of a triangle.

Now we find the type of triangle.

We find the sum of the squares of the two smaller sides, and compare the sum to the square of the largest side.

the sum of the squares of the two smaller sides is,

= 7² + 24²

= 49 + 576

= 625

= 25²

Since the sum of the squares of the two smaller sides is equal to the square of the largest side, by Pythagoras theorem the triangle must be right triangle.

Therefore, given set of numbers 7, 24, 25 represent a right triangle.

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what is 109 x 3= the answer is
327

Answers

Answer:

109 x 3 = 327

Step-by-step explanation:

The answer would be 109 x 3 = 327

Polygon Q is a scaled copy of Polygon P using a scale factor of
1/2 Polygon Q's area is what fraction of Polygon P's area?

Answers

Polygon Q is a scaled replica of Polygon P with a factor of half. The area of Polygon Q is a proportion of the area of Polygon P= 1/4

Polygons described as:

A polygon is a plane figure characterized by a fixed amount of straight-line segments joined to form a closed polygonal chain. A polygon is a bounded plane region, a bounding circuit, or both. The segments of such a polygonal circuit are referred to as its edges or sides.

What is an example of a polygon?

Polygons are made up of triangles, hexagons, pentagons, and quadrilaterals. The name indicates how many sides the form has. A triangle, for example, has three sides, whereas a quadrilateral has four.

According to the given data:

We are aware of this.

If the areas of two figures were similar, the ratio of their areas equals the scale factor squared.

Let

z → the scale factor

x → polygon q’s area

y → polygon p’s area

So,

Z² = x/y

Z is given as  = 1/2

Putting value we get:

(1/2)² = x/y

(1/4) = x/y

x = 1/4(y)

The  fraction of Polygon P's area = 1/4

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The formula for converting degrees Celsius to degrees Fahrenheit is F=-C+32. Solve this formula for C.​

Answers

Answer:

C = 32 - F

Step-by-step explanation:

that is the solution above

How many solutions does each of the following equations have?
3(x-7)+4=x-1

Answers

Answer:

1

Step-by-step explanation:

It is a linear equation, so it has 0 or 1 solution (or infinitely many).

You could view this one as the intersection of line y=3(x-7)+4 and the line y=x-1. There is one intersection, and it is at x=8.

a. 0.7 ÷ 2 = whattttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt

Answers

Answer:

0.7/2=0.35

Step-by-step explanation:

the answer for 0.7/3 is 0.35

On a coordinate graph, your house is located at the origin (0,0) You leave your house and walk 6 blocks north. Then you turn and walk 22 blocks west. Since it is getting late, you decide to walk straight back home. How many blocks is it to walk straight back to your house? Round your answer to the nearest tenth​

Answers

Answer:

22.8 blocks

Step-by-step explanation:

We can think of your path as traveling on a coordinate plane. You start by walking 6 units in the positive y direction, then 22 units in the negative x direction, then walking from this point (-22, 6) back to (0, 0)

This path draws a right triangle. The shorter leg is 6 units long, and the longer end is 22 units long. You want to find the hypotenuse of this triangle.

The hypotenuse is found using the Pythagorean theorem:

[tex]a^2+b^2=c^2[/tex]

A and B represent the sides of the triangle, and c represents the hypotenuse!

Before plugging in the functions, isolate c, since that's the answer we're looking for:

[tex]a^2+b^2=c^2\\c=\sqrt{a^2+b^2}[/tex]

Now, plug in the side lengths of the triangle:

[tex]c=\sqrt{6^2+22^2}[/tex]

Now simplify!

[tex]c=\sqrt{36+484} \\x=\sqrt{520} x=22.8[/tex]

It is 22.8 blocks back to your house! Hope this helps!

 


Find the center and the radius of each circle. x²+y²-6 x-2 y+4=0

Answers

The equation of the circle x^2 + y^2 - 6x - 2y + 4 = 0 has a radius of √6 and a center located at (3 , 1).

The standard form of the equation of  circle is given by

(x - h)^2 + (y - k)^2 = r^2

where (h , k) is the location of the center and r is the radius of the circle.

On the other hand, the general form of the equation of  circle is given by

x^2 + y^2 + Dx + Ey + F = 0

where D = -2h, E = -2k, and F = h^2 + k^2 -r^2.

If the equation of the circle in general form is x^2 + y^2 - 6x - 2y + 4 = 0, then the coefficients are:

D = -6

E = -2

F = 4

If D = -2h and D = -6, then

-6 = -2h

h = 3

If E = -2k and E = -2, then

-2 = -2k

k = 1

If F = h^2 + k^2 -r^2 and F = 4, then

4 = 3^2 + (1)^2 - r^2

r^2 = 9 + 1 - 4

r^2 = 6

r = √6

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Determine whether -FG is tangent to ®E . Justify your answer.

Answers

Line segment FG is not tangent to circle E.

What is Tangent:

The tangent is defined as a line touching circles or an ellipse at only one point. Suppose a line touches the curve at P, then the point “P” is called the point of tangency. In other words, it is defined as the line which represents the slope of a curve at that point.

What is Line Segment:

A line segment has two definite endpoints in a line. The length of the line segment is fixed, which is the distance between two fixed points. The length here can be measured by metric units such as centimeters (cm), millimeters (mm) or by conventional units like feet or inches.

Now, According to the problem

The tangent line to a circle makes an angle of 90 degrees with the radius.

If |FG| is tangent to circle E.

then,

30^2 = 26^2 + 17^2

which is not true.

Therefore, line segment FG is not tangent to circle E.

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line k passes through the points (-12, 10) and (6, 1) line l is perpendicular to line k with y-intercept 6 find the x-intercept of line l

Answers

The line l which is perpendicular to line k has an x intercept of -3.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The standard equation of a line is:

y = mx + b

where m is the slope and b is the y intercept.

Line k passes through the points (-12, 10) and (6, 1), hence:

Slope = (1 - 10) / (6 - (-12)) = -1/2

Two lines are perpendicular if the product of their slopes is -1. Line L is perpendicular to line k, with y-intercept 6. hence:

Slope of line l = 2

Equation of line l is:

y = 2x + 6

At y = 0:

0 = 2x + 6

x = -3

The line l which is perpendicular to line k has an x intercept of -3.

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1. Find an equivalent ratio to 12:9 such that the second number is 3.
O a. 6:3
O b. 4:3
O c. 9:3

Answers

Answer:

B. 4:3

Step-by-step explanation:

Divide both by 3:

12/3 = 4

9/3 = 3

4:3


Identify a pattern and find the next three numbers in the pattern.
3,6,10,15, . . .

Answers

The pattern exists described as a sequence of repeating objects, shapes, or numbers. Patterns can also occasionally be referred to as a series.

The pattern follows the rule = Σn+(n+1)

The next three numbers in the pattern be 3, 6, 10, 15, 21, 28, 36.

What is meant by pattern?

A recurring arrangement of numbers, forms, colors, and other elements constitutes a pattern in mathematics. The pattern can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern. Patterns can also occasionally be referred to as a series.

Let the numbers in the pattern be 3,6,10,15, . . .

t1 = 1 + 2 = 3

t2 = 3 + 3 = 6

t3 = 6 + 4 = 10

t4 = 10 + 5 = 15

t5 = 15 + 6 = 21

t6 = 21 + 7 = 28

t7 = 28 + 8 = 36

The pattern follows the rule = Σn+(n+1)

Therefore, the next three numbers is 21, 28, 36.

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Find the center and the radius of each circle. x²+2 x+1+y²=4

Answers

The center and radius of the circle given by the equation x^2 + 2x + 1 + y^2 = 4 is (-1 , 0) and 2, respectively.

The standard form of the equation of circle is given by

(x - h)^2 + (y - k)^2 = r^2

where (h , k) is the location of the center and r is the radius of the circle.

On the other hand, the general form of the equation of  circle is given by

x^2 + y^2 + Dx + Ey + F = 0

where D = -2h, E = -2k, and F = h^2 + k^2 -r^2.

If the equation of the circle in general form is x^2 + 2x + 1 + y^2 = 4, then the coefficients are:

D = 2

E = 0

F = 1 - 4 = -3

If D = -2h and D = 2, then

2 = -2h

h = -1

If E = -2k and E = 0, then

0 = -2k

k = 0

If F = h^2 + k^2 -r^2 and F = -3, then

-3 = (-1)^2 + 0^2 - r^2

r^2 = 1 + 0 + 3

r^2 = 4

r = 2

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Sketch the solid that results when the region enclosed by the given equations is revolved about the x -axis.
y = x²
y = 2x

Answers

y = x² , y = 2 x are  the region enclosed by the given equations is revolved about the y -axis.

What exactly is a closed area?

All space between a floor and ceiling that is enclosed on all sides by solid walls or windows, except doors that stretch from the floor to the ceiling, is referred to as an enclosed area.

What do you mean by the region that a closed curve encloses?

The sum of all infinitely thin rectangles with height f(x), enclosed by the curve y=f(x), and the x-axis between x=a and x=b, is what we mean when we write baf(x)dx.

Whether contained or not?

Use enclosed at all times. No longer regarded as a regular variety, enclosed would even be mistaken for another word by many readers.Use enclose, encloses, and enclosing rather than inclose for other words that are similar to enclosed.

The graph is attached in equation y = x² , y = 2 x

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Find the coordinates of point I so Δ I K L is the indicated type of triangle. Point J has coordinates (0,0) and point K has coordinates (2 a, 2 b) .
isosceles triangle

Answers

The coordinate of the point L is such that ΔL K L is an isosceles triangle that will be either (0,y) or (2a,y).

It is given that in ΔL K L , J has coordinates (0,0) and K has coordinates (2 a, 2 b) .

We have to find the coordinates of point L so that , ΔL K L is an isosceles triangle.

What is a triangle ?

A triangle is a 3-sided shape. There are three sides and three angles in every triangle, some of which may be the same.

As per the question ;

The ΔL K L is an isosceles triangle,

J has coordinates (0,0)

K has coordinates (2 a, 2 b) .

The possible coordinate of the point L will be (0,y) or (2a,y).

Let's check it.

Using the distance formula ;

JK = [tex]\sqrt{(2a-0)^2 + (2b -0)^2}[/tex]

JK = [tex]\sqrt{(4a^2 + 4b^2)}[/tex]

JK = [tex]2\sqrt{a^2 + b^2}[/tex]

Similarly ;

JL = [tex]\sqrt{0^2 + y^2}[/tex]

JL = y

And

KL = [tex]\sqrt{4a^2 + (2b - y)^2}[/tex]

Let's say two sides JK and KL are equal at any value of a , b and y.

Then ;

The two sides are of equal length , so , we can conclude that this is an isosceles triangle.

Thus , the coordinate of the point L is such that ΔL K L is an isosceles triangle that will be either (0,y) or (2a,y).

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10 = z/2 + 7 what is 10

Answers

Answer:

19

I first do plus 2and 7 and 10=z


Name the property of real numbers illustrated by each equation.
(2√7) . √3 = 2(√7 . √3)

Answers

Associative Property Of Addition illustrated by each equation.

(2√7) . √3 = 2(√7 . √3)

What is Associative Property Of Addition?The total of three or more integers is constant according to the associative property of addition, regardless of how the numbers are arranged.The grouping of numbers does not alter their sum, according to the associative characteristic of addition. For instance, 75 + (81 + 34) = 75 + 115 = 190; and 75 + (81 + 34) = 75 + (81 + 34) = 156 + 34 = 190.According to the associative property, no matter how the addends are grouped, the total or product of adding or multiplying three or more integers will always be the same (or the multiplicands).This law essentially asserts that you can rearrange the numbers in a problem without changing the solution when adding or multiplying them.

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Summarize the possible relationships for the y -intercepts, slopes, and number of solutions in a system of two linear equations in two variables.

Answers

A consistent system of equations has at least one solution.

A consistent system is considered to be an independent system if it has a single solution, such as the example we just explored. The two lines have different slopes and intersect at one point in the plane.

A consistent system is considered to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide so the equations represent the same line. Every point on the line represents a coordinate pair that satisfies the system. Thus, there are an infinite number of solutions.

Another type of system of linear equations is an inconsistent system, which is one in which the equations represent two parallel lines. The lines have the same slope and different y-intercepts. There are no points common to both lines; hence, there is no solution to the system.

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The amount of a commission is directly proportional to the amount of a sale. A realtor received a commission of 48,000 on the sale of an 800,000 house. How much would the commission be on a 650,000 house?

Answers

How much would the commission be on a 650,000 house? $39,000

Given:

Rate of the house 1= $8,00,000

Commission for the house 1=$48,000

Rate of the house 2= $6,50,000

Commission for the house 2=x

What is the commission for the house 2?

8,00,000 ⇒48,000

6,50,000 ⇒ x (directly proportional)

On cross multiplication,

[tex]8,00,000 *x= 48,000*6,50,000\\\\x=\frac{48,000*6,50,000}{8,00,000} =39,000[/tex]

Commission for the house 2 = $39,000

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If 35% of a number is 63 and 60% of the same number is 108, find 25% of that number.

Answers

Answer:22.05

hope it help

and have a good day

Answer:

45

Explanation

35% is 63

so 5% is 9

so 100% is 180 cuz 5 multiplied by 20 is 100

so 25 % is 25 divided by 100 is 0.25×180 which is 45

hope that helps

The city of San Diego has an average monthly rainfall of 0.87 inches per month. Brick reports that the average rainfall for the first three
months was 2.02 inches per month and that the average rainfall for the next 7 months was 0.25 inches.
What does the average rainfall for the rest of the year need to be per month so that San Diego meets its average monthly rainfall
marks for the year? Round your answer to the nearest hundredth

Answers

The average rainfall for the rest of the year need to be per month is 1.31 inches per month.

According to the statement

We have to find that the average rainfall for the rest of the year.

So, For this purpose, we know that the

The average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

From the given information:

an average monthly rainfall of 0.87 inches per month. and the average rainfall for the first three months was 2.02 inches per month and that the average rainfall for the next 7 months was 0.25 inches.

Then

An average monthly rainfall per month = 0.87 inches

An average monthly rainfall per year = 0.87 *12

An average monthly rainfall per year = 10.44 inches

Then

The average rainfall for the first three months was 2.02 inches per month

The average rainfall for the first three months = 2.02 *3

The average rainfall for the first three months = 6.06

And

The average rainfall for the next seven months = 0.25*7

The average rainfall for the next seven months = 1.75

Then

The remaining average rainfall in one year = average monthly rainfall per year - (average rainfall for the first three months + average rainfall for the next seven)

The remaining average rainfall in one year = 10.44  - (6.06 + 1.75)

The remaining average rainfall in one year = 10.44  - (7.81)

The remaining average rainfall in one year = 2.63

And then

The remaining average rainfall in 2 months = 2.63

The remaining average rainfall in 2 months per month = 2.63/2

The remaining average rainfall in 2 months per month = 1.31.

So, The average rainfall for the rest of the year need to be per month is 1.31 inches per month.

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what is a vonoroi diagram in SIMPLE terms please help!

Answers

Answer:

Image result for what is a voronoi diagram in SIMPLE terms please help!

In mathematics, a Voronoi diagram is a partition of a plane into regions close to each of a given set of objects. In the simplest case, these objects are just finitely many points in the plane (called seeds, sites, or generators)

Step-by-step explanation:yes

Can somebody please Help me please!!!and thank you!!!!!!!

Answers

Answer:

17.25 < 17.252

Step-by-step explanation:

17.25 means 17.250. So, 17.250 is less than 17.253, which is correct. The other answer choices are incorrect because the sign is pointed the wrong way. 29.60 is not greater than 29.65, so that's incorrect. 21.51 is greater than 21.49. That is not an answer choice though, so that answer choice is incorrect. 7.602 is not greater than 7.612, so that is incorrect.

Hope this helps! :)

Help me Pleaseee this has to be turned in by tomorrow I am a 7th grader for tips to get an accurate answer

Answers

Answer:

Parallelogram S: b = 7, h = 6

Parallelogram T: b = 3, h = 6

Area of Parallelogram S = 42

Area of Parallelogram T = 18

Step-by-step explanation:

The bases and heights of each parallelogram are given by the arrows, just count the number of boxes you see.

Area = base × height, so you just multiply these numbers. Area of parallelograms is found the same way as area for squares/rectangles.

7 × 6 = 42 and 3 × 6 = 18

Other Questions
HELP 45 POINTSS!! The coordinates of the vertices of quadrilateral ABCD are A(-6,-1), B(-5,2), C(-1,-5), and D(0,-2). Parker states that quadrilateral ABCD is a parallelogram. Prove or disprove Parkers statement. Here is a coordinate plane if you would like to graph the points to help you. Egbe works for an International South African petroleum company called Excel Liquids as a productionsmanager. The telephone rings and it is Sume, his mother calling him from his hometown in Cameroon. Egbehas not spoken to his mother for the last three months. He was so excited to hear his mother's voice, butshe complained that she could not hear him clearly because of the torrential-rains in Cameroon.She asks him about his job. Egbe says that all is well at his job site, but he is getting irritated these daysbecause a colleague is making moves at him. Since she could not hear him clearly, Sume asked Egbe to callher back after an hour via her cell phone. Egbe drops the phone and rushes to a meeting at the boardroom.Two hours later Sume calls again when Egbe has just returned from his meeting. "I'm so sorry," Egbe saysapologetically. He rattles off with a long discourse on how boring it is to have a meeting with white peopleand how they keep talking through their noses. He also explained that his gay colleague is making his jobintolerable. At this point, Sume asked him why his job should be intolerable because of his colleague. Heexplained that he can't be transsexual as that is a taboo in their culture. He does not give her an opportunityto ask questions even though she could hardly understand what he was talking about. She has never heardof such words as "gay" and "transsexual". She therefore curtly interrupts him and terminates the call bysaying that she has to check on the food on the stove. When he puts down the phone, he shakes his headand thinks to himself: "A typical woman! Always trying to do more than one thing at a time and neversucceeding".Read the passage below and answer the question thatfollows.Discuss in details three challenges or barriersdemonstrated in the case study above and mention howthese barriers can interfere with effective communication.In your discussion, suggest solutions to addressing eachof these barriers. Your discussion should be in an essayformat and not more than one and a half pages. Calculate the distance between the following points: F(-9, -14) and G(1,-19) briefly define what are micro-organisms f(x) = -x + 4 and g(x) = x2 - 5, then g(f(3)) = ? Name:1. Define what tie dye is2. Where does tie dye originate from?3. What techniques are involved in creating tie dye?4. List 3 designers that use tie dye in their designs5. What are 3 different styles of tie dye?6. Find out one fact about tie dye Martina has 16 cars available to rent. let c be the number of cars she would have left after renting r of them. write an equation relating c to r. then use this equation to find the number of cars she would have left after renting 14 of them. Find the seventh term of each geometric sequence. 1,-3,9, . . . . . . . Is 10% of the population enough to make you feel confident that Southerners actually supported joining the US? Why would Lincoln make the number so low? 5) Diego had a pizza that was divided into 8 equal slices. He ate 3 of them. Hector has a pizza thatis the same size, but his is divided into 4 equal slices. He ate 3 slices of his pizza. Who ate morepizza? Help please and thank you!Write a thesis statement about the benefits and/or drawbacks about a entrepreneur Which layer of an arterial wall is most responsible for maintaining blood pressure and the continuous flow of blood through the circulation? The three interior angles of a triangle have a sum of 180. If two of the three angles are complementary, which conclusion is accurate?OA) The triangle is acute.OB) The triangle is right.OC) The triangle is obtuse.OD) The triangle is isosceles. Question 10Which one of the following traits reflects a "growth mindset"?O Believe that intelligence and other positive qualities can be grown or developed.O Showing others how good or smart you are.O Evaluating your performance by comparing it to the performance of others.O Feeling smart when you complete tasks quickly and without mistakes. A bond issued on june 1, 20x5, has interest payment dates of april 1 and october 1. the bond interest expense for the year ended december 31, 20x5, is for a period of? What is the name of the enzyme whose mechanism is depicted in the previous question? Assume the appropriate discount rate for the following cash flows is 10.19 percent per year. year cash flow 1 $2,350 2 2,750 3 4,950 4 5,550 what is the present value of the cash flows? Anyone in 10-11? Ig or S?Did ethnic enclaves have a positive or negative impact on immigrants in the late 1800s? Provide evidence to support your response. A man who is 6 feet tall is walking at a rate of 4 feet/second, directly away from a light that is located 10 feet above the ground. How long is the man's shadow t seconds after he starts walking? The answer will be in terms of t. Find two pairs of whole numbers with a geometric mean that is also a whole number. What condition must be met in order for a pair of numbers to produce a whole-number geometric mean?