Please someone help me please i need help with this question answer asap

Please Someone Help Me Please I Need Help With This Question Answer Asap

Answers

Answer 1

Answer:

y = - [tex]\frac{1}{3}[/tex] x + [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

the perpendicular bisector of AB passes through the midpoint of AB at right angles.

find the midpoint using the midpoint formula

with A (- 2, 0 ) and B (0, 6 )

midpoint = ( [tex]\frac{-2+0}{2}[/tex] , [tex]\frac{0+6}{2}[/tex] ) = ( [tex]\frac{-2}{2}[/tex] , [tex]\frac{6}{2}[/tex] ) = (- 1, 3 )

find the gradient m of AB using the gradient formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A (- 2, 0 ) and (x₂, y₂ ) = B (0, 6 )

m = [tex]\frac{6-0}{0-(-2)}[/tex] = [tex]\frac{6}{0+2}[/tex] = [tex]\frac{6}{2}[/tex] = 3

given a line with gradient m then the gradient of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex]

the equation of a line in gradient- slope form is

y = mx + c ( m is the gradient and c the y- intercept )

here m = - [tex]\frac{1}{3}[/tex] , then

y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

to find c substitute (- 1, 3 ) into the partial equation

3 = [tex]\frac{1}{3}[/tex] + c ⇒ c = 3 - [tex]\frac{1}{3}[/tex] = [tex]\frac{8}{3}[/tex]

y = - [tex]\frac{1}{3}[/tex] x + [tex]\frac{8}{3}[/tex] ← equation of perpendicular bisector


Related Questions

Solve three-fourths + two-sixths = ___.

five-tenths
five-twelfths
twelve-twelfths or 1
thirteen-twelfths or one and one-twelfth

Answers

The value of three-fourths + two-sixths is thirteen-twelfths or one and one-twelfth. Option D

What is a fraction?

A fraction can be defined as a part of a whole set or element.

There are several types of fractions which includes;

Simple fractionsComplex fractionsMixed fractionsProper fractionsImproper fractions

Examples of simple fractions; 1/ 2, 1/6

Examples of proper fractions; 2/3, 4/7

Examples of improper fractions; 4/3, 3/2

Examples of mixed fractions; 2 1/ 4, 7 1/2

From the information given, we have that;

3/ 4 + 2/ 6

Find the lowest common multiple

9 + 4 /12

13/ 12

Hence, the value is 13/12

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solve for z
6(x-h)=z

Answers

Answer: I hope these two answers help please mark me brainlist

Step-by-step explanation:

Simplifying

z = 6(x + -1h)

Reorder the terms:

z = 6(-1h + x)

z = (-1h * 6 + x * 6)

z = (-6h + 6x)

Solving

z = -6h + 6x

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Simplifying

z = -6h + 6x

or another answer

6(x-h)=z

Distribute 6 through the parentheses

6x-6h=z

Swap the sides of the equation

Z= 6x-6h

PLS HELPPPPPP
Points A(8, 4) and B(−7, 4) are located on a coordinate plane. Graph the pair of points. Then find the distance between them and complete the explanation.

Answers

If the point A(8,4) and B(-7,4) are located one the coordinate plane. Then the graph has been plotted and the distance between the points is 15 units

The first point = A(8,4)

The second point = B(-7,4)

Plot the point on the coordinate plane

The distance between the two points d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Where d is the distance between the two points

[tex](x_1,y_1)[/tex] is the coordinates of the first point

[tex](x_2,y_2)[/tex] is the coordinates of the second point

Substitute the values in the equation

The distance d = [tex]\sqrt{(-7-8)^2+(4-4)^2}[/tex]

= [tex]\sqrt{(-15)^2}[/tex]

= 15 units

Hence, If the point A(8,4) and B(-7,4) are located one the coordinate plane. Then the graph has been plotted and the distance between the points is 15 units

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HELP.

i want to know how to do all this "graph the slope equations" stuff. i need it as soon as you can, pls tell me the answer, how to do it, and tell me how it makes sense in SIMPLE FORM. I know its a lot but i need it. A piece of paper showing all the work would be nice too<3 <3 i will give brain points to the best answer.

9th grade Algebra 1

Answers

Answer:

y = 1/2x - 1

(fraction form)

or

y = 0.5x - 1

(decimal form)

Step-by-step explanation:

To graph:

Start at (0, 0), or the origin, which is in the center of the coordinate plane.Move over x units to the right or left. Then, move over y units up or down. Mark the point.If you're working with a linear equation, draw lines connecting points from left to right. For a quadratic equation, connect points with curved lines.

Another suggestion, is to use Desmos Graphing Calculator (website) and just plug in the points to see where to graph.

Hope this helps! :)

Hello I was given this question earlier but didn’t understand thought it would be good to reach out for some help

Answers

Profit = Revenue - Cost

Revenue = Q * P

P = 100 - Q/20

C = 0.12Q + 10

Using substitution, we can say that:

[tex]\begin{gathered} \text{Profit = Revenue - Cost} \\ \text{Profit = }(Q\times P)-(0.12Q+10) \\ \text{Profit }=Q(100-\frac{Q}{20})-(0.12Q+10) \end{gathered}[/tex]

Both equations used in the region of profit are linear equations because the exponent or degree used is only 1. Therefore, the region of profit is contained within two linear equations. (Option E)

4z+7 what is the value of z

Answers

Answer: it could literally be anything

Step-by-step explanation: if 4*z+7=15 then z=2

Find the measure of B

Answers

The given angles in the triangle are :

A = (2x+3)°
B=(5x)°
C = (10x)°

To find the measure of angle B , first we need to find the value of x

The value of x can be found out by equating the sum of three angles to 180°

=> (2x+3)° + 5x° + 10x° = 180

=> 17x + 3 = 180°

=> 17x = 180-3

=> 17 x = 177

=> x = [tex]\frac{177}{17}[/tex]

=> x = 10.4°

Angle B = 5x = 5(10.4) = 52° is the required measure of B

need help having problems

Answers

Answer is y= 5x -2

Step by step

In the slope-intercept form you use the slope of the line and the y-intercept to solve using y=mx+b.
m is the slope and b is the y-intercept.

First to find slope using y2 - y1 over x2 - x1
We have points (-3, -17) and (2, 8)

8 - -17 over 2 - -3
25 over 5

Slope (m) is 5

Now the equation
y - y1 = m (x - x1)

We will use points (2, 8) in the equation

y - 8 = 5(x - 2)
y - 8 = 5x -10
Add 8 to both sides to combine constants

y -8 +8 = 5x -10 + 8
Combine

y = 5x -2 This is your answer!

Check your work, chose an x/y pair from the chart and sub in for x and y
(2,8)
8 = 5(2) -2
8 = 10 -2
8 = 8
Solution is equal so equation is correct
Problem solved


in these number grids two numbers are added to get th number below. example 13 +12=25.write the number in the grid to make it correct 4+?+9+?+?=35

Answers

Answer:

7+7+8

Step-by-step explanation:

9+4=13

35-13=22

22÷3 because they are three question mark

so 7 r 1

. .

. 4+7+9+7+8 =35

Brickhouse is expected to pay a dividend of $3.30 and $2.52 over the next two years, respectively. after that, the company is expected to increase its annual dividend at 4.2 percent. what is the stock price today if the required return is 11.6 percent?

Answers

The company’s stock price today would be $33.46.

Dividend per share for the first 2 years

Dividend per share Year 1 (D1) = $3.30 per share

Dividend per share Year 2 (D2) = $2.52 per share

Calculation of Stock Price for the Year 2 (P2)

Stock Price for the Year 2 (P2) = D2(1 + g) / (Ke – g)

= $2.52(1 + 0.042) / (0.1160 – 0.042)

= $2.63 / 0.0740

= $35.48 per share

The Stock Price today

The company’s stock price is the Present Value of the future dividend payments and the present value the stock price for the year 2

The Stock Price = D1/(1 + r)1 + D2/(1 + r)2 + P2/(1 + r)2

= $3.30/(1 + 0.1160)1 + $2.52/(1 + 0.1160)2 + $35.48/(1 + 0.1160)2

= [$3.30 / 1.1160] + [$2.52 / 1.24546] + [$35.48 / 1.24546]

= $2.95 + $2.02 + $28.49

= $33.46 per share

Hence, the company’s stock price today would be $33.46.

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Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

Step-by-step explanation:

Choose two points on the graph: (-6,-7) and (6,-9)

The straight line equation is: y=mx+b

[tex]\displaystyle\\\boxed {The\ slope\ m=\frac{y_2-y_1}{x_2-x_1} }\\\\x_1=-6\ \ \ \ x_2=6\ \ \ \ \ y_1=-7\ \ \ \ y_2=-9\\\\m=\frac{-9-(-7)}{6-(-6)} \\\\m=\frac{-9+7}{6+6} \\\\m=\frac{-2}{12} \\\\m=-\frac{1}{6}\\\\Hence,\ y=-\frac{1}{6}x+b\ \ \ \ \ (1)[/tex]

To determine the coefficient b, take any of the two points,

for example (-6,-7), that is, x=-6   y=-7

Substitute these values into formula (1):

[tex]\displaystyle\\-7=-\frac{1}{6}(-6) +b\\\\-7=1+b\\\\-7-1=1+b-1\\\\-8=b\\\\Thus,\ b=-8\\\\The\ result\ is\ y=-\frac{1}{6}x-8[/tex]

Jada drew triangle ABC​. If angle B​ is a right angle, what are possible measures for the other two angles?

angle A​:

Answers

The possible measures  for the other two angles will be that the sum of that angle must be 90 degree.

A triangle is considered to be 3-sided polygon in some cases  Each triangle has three sides and three angles, a few of which may be the same. The portion of the plane enclosed by the triangle is said the triangle interior, whereas the leftover portion is the exterior. Since we are  given that  one of the angles of the  given is a right angle, according to one of the rules of the triangle the sum of all the interior angles of a triangle should be 180, for the triangle ABC,

=>A+B+C = 180

=>A+90+C= 180

=>A+C= 180-90

=>A+C=90

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Please Help I'm soooo stuck



There are 40 fish in a pond. 12 of the fish are bream. Of the fish that are not bream, 1/4 are tench and the rest are carp.

What is the ratio of bream to tench to carp in the pond? Give your answer in its simplest form.​

Answers

The ratio of bream to tench to carp is given by the expression; 12 : 7 : 21

What is a ratio of items?

A ratio is a relationship between two or more items, that quantitatively expresses the number of times a unit item can be found within the quantity of each item in the set of items.

The given parameters are;

Number of fish in the pond = 40

The number of fish in the pond that are bream = 12

The number of fish that are tench = 1/4 of the fish that are not bream

The number of the fish that are carp = The rest of the fish that are not bream or carp

Required;

The ratio of bream to tench to carp of the fish in the pond.

Solution;

The number of fish that are either tench or carp = 40 - 12 = 28

The number of the fish that are tench = (1/4) × 28 = 7

Therefore;

The number of fish that are carp = 28 - 7 = 21

Which gives;

Number of bream in the pond = 12

Number of tench in the pond = 7

Number of carp in the pond = 21

The ratio of the number of bream to tench to carp in the pond is given by the expression;

[tex]\displaystyle{ \frac{12}{40}:\frac{7}{40}:\frac{21}{40}}[/tex]

Given that the expression for the ratio cannot be simplified further, we have;

The ratio of bream to tench to pond is 12 : 7 : 21

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1. Technologies in the early 1800s not only
changed transportation but revolutionized what
as well?
a. black rights
b. the Constitution
c. women's rights
d. communication

Answers

The technologies that came in the early 1800s changed transportation and revolutionized D. Communication.

How did communication change in the 1800s?

In the early 1800s, technology was making things better in the United States. The use of rail lines changed transportation by making many more areas accessible.

Thanks to this improvement in transportation, communication was also revolutionized. For instance, the rail lines made the Federal Postal Service better able to do its job. The Telegraph was also invented in the early 1800s (1844) and allowed for messages to travel much faster than ever before.

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If x = 6 and y = 4, work out the value of the following:

4x + y

2y squared

( x - y ) squared

Answers

Step-by-step explanation:

If x = 6 and y = 4. Substitute x and y in the expression.

4x+y

4(6)+(4)

24+4

28

2y²

2(6)²

2(36)

72

( x - y )²

(6+4)²

(10)²

100

find the solution of this system of equations2x+5y=-49-2x+8y=-68

Answers

Given the system of equations :

[tex]\begin{gathered} 2x+5y=-49 \\ -2x+8y=-68 \end{gathered}[/tex]

Add the equations to eliminate x :

[tex]\begin{gathered} (2x+5y)+(-2x+8y)=-49+(-68) \\ 2x+5y-2x+8y=-117 \\ (2x-2x)+(5y+8y)=-117 \\ 13y=-117 \end{gathered}[/tex]

divide both sides by 13 to find the value of y :

[tex]\begin{gathered} \frac{13y}{13}=\frac{-117}{13} \\ \\ y=-9 \end{gathered}[/tex]

To find x , substitute with the value of y at the first equation :

[tex]\begin{gathered} 2x+5\cdot-9=-49 \\ 2x-45=-49 \\ 2x=-49+45 \\ 2x=-4 \\ \\ x=-\frac{4}{2} \\ \\ x=-2 \end{gathered}[/tex]

So, the solution of the system is :

[tex]\begin{gathered} x=-2 \\ y=-9 \end{gathered}[/tex]

The solution can be written as the order pair (x,y):

[tex](x,y)=(-2,-9)[/tex]

5. Find the equation of the line joining the points A(5, 7) and B(8, 12).

Answers

Given:

There are given that the two points:

[tex]A(5,7),and,B(8,12)[/tex]

Explanation:

According to the question:

We need to find the equation of the line:

Then,

To find the equation of the line, first, we need to find the slope of the line.

So,

From the formula of the slope of the line:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where,

[tex]x_1=5,y_1=7,x_2=8,y_2=12[/tex]

Then,

Put all the values into the given formula:

So,

[tex]\begin{gathered} m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ m=\frac{12-7}{8-5} \\ m=\frac{5}{3} \end{gathered}[/tex]

Then,

From the formula of the equation of the line:

[tex]y-y_1=m(x-x_1)[/tex]

Then,

Put the value of m into the above equation:

So,

[tex]\begin{gathered} y-y_{1}=m(x-x_{1}) \\ y-7=\frac{5}{3}(x-5) \\ 3y-21=5(x-5) \\ 3y-21=5x-25 \end{gathered}[/tex]

Then,

[tex]\begin{gathered} 3y-21=5x-25 \\ 3y-21+21=5x-25+21 \\ 3y=5x-4 \\ y=\frac{5}{3}x-\frac{4}{3} \end{gathered}[/tex]

Final answer:

Hence, the equation of line is shown below:

[tex]y=\frac{5}{3}x-\frac{4}{3}[/tex]

5y/3 = 30 solve for y simplify your answer as much as possible

Answers

Answer: y= 18

Step-by-step explanation:

5y/3 = 30
First step: multiply 3 on both sides

5y/3 * 3 = 30*3

5y = 90

Second step: divide 5 on both sides (isolating variable)

5y/5 = 90/5

y = 18

Answer:

y = 18

Step-by-step explanation:

[tex]\frac{5y}{3}[/tex] = 30 ( multiply both sides by 3 to clear the fraction )

5y = 3 × 30 = 90 ( divide both sides by 5 )

y = 18

Missy rode her bicycle 16 miles in 1 1/4 hours. What was her average speed in miles per hour

Answers

Answer: 12.8 miles per hour

Step-by-step explanation:

divide 16 by 1.25 in order to get your answer

The sum of two rational numbers is 4. If one of the numbers is 2/3, then what is the other number

Answers

Answer:

10/3

Step-by-step explanation:

Let x be the value of the second rational number.  The first rational number is 2/3, and we are told that the sum of these numbers is 4:

x + 2/3 = 4

Therefore:

x + 2/3 = 4

x  = 4 - 2/3

x = 12/3 - 2/3

x = (10/3)

an you guys help me with this one too

Answers

Amanda and Diana given right solution set.

The solution set of given graph of inequality is,

x < 4.

Now, The solution of given created inequality,

Amanda:-  -3x + 5 > -7

       => -3x> -7 -5

       => - 3x > -12

        => 3x < 12

         => x < 4

So, it is correct

Briana:- 1/2 (2x - 4)> 2

       => 2x - 4  > 4

       => 2x > 8

       => x > 4

It is wrong

Courtney:-   -7x+8 > -3x + 24

      =>   -7x + 3x > 24 - 8

      => -4x > 16

      => 4x < -16

     => x < -4

It is wrong

Diana:- 9x -6 < 3x + 18

         => 9x - 3x < 18 + 6

         => 6x < 24

       => x < 4

So, it is right

Hence, Amanda and Diana given right solution set.

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an empty swimming pool is in the shape of a rectangle meters long, meters wide and meters deep. a child starts to fill the pool using a saucepan with a circular base having a diameter of and a depth of . the child can fill the saucepan and empty it into the pool twice per minute. how many days would it take the child (working 24 hours per day) to fill the pool? don’t round to the nearest day.

Answers

the child would take 11.5 days (working 24 hours per day) to fill the swimming pool

an empty swimming pool is in the shape of a rectangle 10 meters long, 5 meters wide and 2 meters deep.

filling rate =2*10*π*(0.1)^2

or 0.002 π cubic meters per minute

or 0.12 cubic meters per hour

or 2.88 cubic meters per day

volume to fill = 100 cubic meters

how many days to fill ? × days= 2.88π × x=100

this implies x= 100/2.88π

   x= 11.05

the complete question is

an empty swimming pool is in the shape of a rectangle 10 meters long, 5 meters wide and 2 meters deep. a child starts to fill the pool using a saucepan with a circular base having a diameter of 20cm and a depth of 10 cm. the child can fill the saucepan and empty it into the pool twice per minute. how many days would it take the child (working 24 hours per day) to fill the pool? don’t round to the nearest day.

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How do to solve this problem? (The answer is 262 Hz) I don't need to know the question that it is asking. I just want to know how to solve the equation and its answer. I am a grade 10 student if this helps you.

Answers

Step-by-step explanation:

Given the formula below

[tex]undefined[/tex]

What is the purpose of carbon sequestering technology? To remove carbon from the air and put it into the ground To use respiration to remove carbon from the air To release carbon from the ocean and move it into the air To store carbon in glaciers and snow

Answers

Carbon sequestering technology has the main purpose of being used To remove carbon from the air and put it into the ground.

Find out more below.

What is carbon sequestering?

Carbon Sequestering refers to various processes that are used to remove the carbon in the air. This carbon is then stored in various places such as the ground and the oceans.

Carbon Sequestering happens naturally such as the process of photosynthesis. Thanks to Carbon Sequestering technology however, humans are able to use the technology to reduce our carbon footprint on Earth.

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A) 35° B) 55° C) 70° D) 145° In the figure above, lines and m are parallel and lines s and t are parallel. If the measure of 21 is 35°, what is the measure of Z2?​

Answers

If lines and m are parallel and lines s and t are parallel. If the measure of 21 is 35°, the measure of ∠2? is : D) 145°.

Parallel line

Based on the given figure ∠1 and ∠3  form a parallel line.

Now let determine the measure of  ∠2

Hence,

∠1+∠3=180 °

35°  +∠3= 180 °

∠3 =  180 ° - 35°

∠3 = 145 °

The corresponding angles is  ∠4 = ∠3  = 145 °

 ∠ 2 an  ∠ 4 are as well a  corresponding angles

So,

∠2 = ∠4 = 145 °

Therefore the we can conclude that the correct option is D.

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What is the solution set for -3x + 12 < 4x - 9

A) x > 21
B) x > 3
C) x < -3
D) x < -21

Answers

Answer:

C) x < -3

Step-by-step explanation:

-3x +12 < 4x - 9

-3x -4x < -12 - 9

-7x < -21

x > -3

A​ 150-pound person uses 5.2 calories per minute when walking at a speed of 4 mph. How long must a person walk at this speed to use at least 240
​calories?

Answers

Answer: 37.31 minutes

Step-by-step explanation:

4х-бу=-26
-2x+3y=13

Answers

Answer: below in photo

PLS HELPPPPP
PLS EXPLAIN

Answers

The values needed to complete the relative frequency table in the context of this problem are as follows:

a = 69.06%.b = 30.91%.c = 68.60%.d = 31.40%.

What is a relative frequency?

The relative frequency of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

To find the relative frequency for boys, we look at the frequency two-way table, and consider that out of 110 boys, 76 went to 4-year colleges and 34 went to two year colleges, hence the relative frequencies are found as follows:

a = 76/110 = 0.6909 = 69.09%.b = 34/110 = 0.3091 = 30.91%.

For girls, we also look at the frequency two-way table, and consider that out of 121 girls, 83 went to 4-year colleges and 38 went to two year colleges, hence the relative frequencies are found as follows:

c = 83/121 = 0.6860 = 68.60%.d = 38/121 = 0.3140 = 31.40%.

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how do you solve quadratic using square roots?ex: (p-4)²=49

Answers

Apply square root to both sides of the equation:

[tex]\sqrt[]{(p-4)^2}=\sqrt[]{49}[/tex][tex]p-4=7[/tex]

Add 4 to both sides of the question:

[tex]p-4+4=7+4[/tex][tex]p=11[/tex]

Other Questions
Writing an article 2. As the Sports Captain of your school, write an article for your school magazine, educating the students about tree climbing-a sport about which not many youngsters know. Use the hints given below. fast-growing outdoor sport-permits people to climb heights safely-only need a helmet, rope, harness-Peter 'Treeman' Jenkins in 1983 founded Tree Climbers International in the US-helps people who love to climb trees-in 1997 in Japan, a physically-challenged woman left her electric wheelchair and climbed the biggest tree in the world-many advantages-form of leisure-good exercise-very safe-trees are everywhere-peaceful and relaxing-is cost-effective-is a year-round sport-during the hot months, you have shade-in winter, leafless trees offer high sunny spots The Tree Climbers if a check correctly written and paid by the bank for $512 is incorrectly recorded in the company's books for $443, how should this error be treated on the bank reconciliation? Wetlands are flooded A. Always B. Never C. At least part of the year D. Only in october Someone help me please I just need to know what do I do when it says 2t but t is 10.M - t squared 2 / (M+p) + 2t A dramatization of one part of Thomas Putnams backstory that has a beginning,middle and end. a car has a15 gallon gas tank and gets a maximum average mileage of 24 miles per gallon You are a mid-level manager at a water distillation and filtration plant that provides five gallon bottles of water to consumers and businesses. Your organization produces three types of water that are marketed:Distilled bottles (7$/bottle) that are typically used by businesses in the medical and chemical industriesSpring bottles (5$/bottle) that are typically used by consumer householdsArtesian bottles (10$/bottle) that are typically used by high-end hospitality businessesUnfortunately, your production plant suffered a mechanical breakdown. One of the lines is not operational, and therefore one of the specific types of water will not be produced for one month. Recognizing that it is off-season for tourists in your region, your direct manager has decided to stop production of Artesian water. You are tasked with emailing your largest hospitality client, Golden Mango Resort. You must inform them that you will not be able to provide their Artesian water order. It is possible that you may substitute their ordered water for another type of water. How are you going to deliver the bad news? Solve the following problem. Give the equation using x as the variable, and give the answer.If 4 is added to five times a number, the result is equal to 7 more than four times the number. Find thenumber.Write the equation using x as the variable. Choose the correct equation below.O A. 4(5x) = 7(4x)O B. 5(x + 4) = 4(x + 7)O C. 5x + 4 = 7(4x)OD. 5x + 4 = 4x + 7O E. 4(5x) = 4x + 7The number is Select the equation that has the same solution.brainiest for the best answer. 100 points. Formulary is defined as to put it in graphing form and then graphY=x^2-6x+3 What is the slope-intercept form(-2,-1),(-4,-3) Explain why the ideas on atoms proposedby Dalton constitute a theory, while the ideas pro-posed by Democritus do not On a sunny day, a tree and its shadow form the sides of a right triangle. If the hypotenuse is 50 meters long and the tree is 40 meters tall, how long is the shadow? 18) which of the following represents total saving for an economy? a) the sum of private saving and fixed investment b) the sum of private saving and consumption c) the sum of taxes and government spending d) the excess of taxes over government spending e) none of the above If you would like to make $1323 in 7 years, how much would you have to deposit in an account that pays simple interest of 2%? Read the excerpt from The Republic by Plato. On the other hand, the men of business, stooping as they walk, and pretending not even to see those whom they have already ruined, insert their stingthat is, their moneyinto some one else who is not on his guard against them, and recover the parent sum many times over multiplied into a family of children: and so they make drone and pauper to abound in the State. Yes, he said, there are plenty of themthat is certain. The evil blazes up like a fire; and they will not extinguish it, either by restricting a man's use of his own property, or by another remedy: What other? One which is the next best, and has the advantage of compelling the citizens to look to their characters:Let there be a general rule that every one shall enter into voluntary contracts at his own risk, and there will be less of this scandalous money-making, and the evils of which we were speaking will be greatly lessened in the State. The Mass of an empty bottleis 4 kg if the mass Whenfilled with Cold water12.5 kg FindA. Mass of empty bottle. taxol, a drug approved for the treatment of breast cancer, prevents depolymerization of microtubules. with what cellular function might taxol interfere?\