A dance school offers classes in ballet folklórico. There is a one-time registration fee and a fee
for each class. The total cost of classes, y, is a linear function of the number of classes,
Three classes cost $36. Seven classes cost $68.
What is the rate of change and what does it represent?

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.

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

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:

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:

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

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

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

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

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 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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Answer:

y = 1/2x - 1

(fraction form)

or

y = 0.5x - 1

(decimal form)

Step-by-step explanation:

To graph:

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

Hope this helps! :)

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]

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

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

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

There are several types of fractions which includes;

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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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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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

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

Answer: 37.31 minutes

Step-by-step explanation:

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)

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

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°.

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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√49 = +/- 7

√16 = +/- 4 as you calculated

Congrats, you did it!

Given the system of equations :

Add the equations to eliminate x :

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

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

So, the solution of the system is :

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

Answer: 12.8 miles per hour

Step-by-step explanation:

divide 16 by 1.25 in order to get your answer

Given:

There are given that the two points:

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:

Where,

Then,

Put all the values into the given formula:

So,

Then,

From the formula of the equation of the line:

Then,

Put the value of m into the above equation:

So,

Then,

Final answer:

Hence, the equation of line is shown below:

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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Apply square root to both sides of the equation:

Add 4 to both sides of the question:

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

Answer:

C) x < -3

Step-by-step explanation:

-3x +12 < 4x - 9

-3x -4x < -12 - 9

-7x < -21

x > -3

Answer: it could literally be anything

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

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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Step-by-step explanation:

Given the formula below