a machine can pack a 3 ft by 3 ft by 1 ft carton with packing material in 3 seconds. how long would it take to fill a carton that measures 4 ft by 4 ft by 6 ft?

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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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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Angles supplementary to ∠3 are ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, and ∠7.

So, angles supplementary to ∠3:

(Refer to the image attached below)

Therefore, angles supplementary to ∠3 are ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, and ∠7.

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√49 = +/- 7

√16 = +/- 4 as you calculated

Congrats, you did it!

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: 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: 37.31 minutes

Step-by-step explanation:

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:

Answer: 12.8 miles per hour

Step-by-step explanation:

divide 16 by 1.25 in order to get your answer

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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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! :)

In the graph given, the line of reflection for the triangle XYZ and triangle X'Y'Z' is x=2.

Given, the coordinates of the triangle XYZ are:

X = (4,5)

Y = (6,3)

Z = (3,2)

and the coordinates of the triangle X'Y'Z' are:

X' = (0,5)

Y' = (-2,3)

Z' = (1,2)

for image of the triangle XYZ to get reflected and become X'Y'Z',

reflection of axis takes place.

But the images are not identical and symmetrical, so the reflection is not about y axis.

we check for x=2

hence reflection of axis when x=a is :

P(x,y) →x'(2a-x , y)

therefore use the above formula and check the coordinates of the reflected image.

X(4,5) → X'(2(2)-4 , 5)

x(4,5) → X'(0,5)

Y(6,3) → Y'(2(2)-6 , 3)

Y(6,3) → Y'(-2,3)

Z(3,2) → Z'(2(2)-3 , 2)

Z(3,2) → Z'(1,2)

hence x=2 is the reflection of triangle XYZ and X'Y'Z'.

Therefore we get the requires answer.

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Given data:

The given expression for height is h=3t+2.

Substitute 30 for t in the above expression.

Thus, the height of the balloon after 30 seconds is 92 ft, so option (C) is correct.

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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Answer:

Step-by-step explanation:

answer is the first one: square root property of equality

BTS zzz

Answer:

Reflexive property of equality

Step-by-step explanation:

look at the image

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

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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Answer: it could literally be anything

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

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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Answer:

C) x < -3

Step-by-step explanation:

-3x +12 < 4x - 9

-3x -4x < -12 - 9

-7x < -21

x > -3

The correlation for r = -0.009 is B. weak negative.

The Pearson correlation coefficient (r) is the most commonly used metric for determining a linear relationship. It is a number ranging from -1 to 1 that indicates the strength and direction of a link between two variables. When one variable shifts, the other shifts in the same way.

Positive correlation is graded on a scale of 0.1 to 1.0. Weak positive correlation would be between 0.1 and 0.3, moderate positive correlation between 0.3 and 0.5, and strong positive correlation between 0.5 and 1.0. The stronger the positive correlation, the more probable the equities will move in unison. Having a minus means it's negative correlation.

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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:

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

Step-by-step explanation:

Given the formula below

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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Answer:

a.) x = 5

b.) x = 35/2 = 17.5

Step-by-step explanation:

In both problems, we are trying to solve for x, which means we need to isolate it on one side of the equation.

a.) 5/2 x + 1 = 11

5/2 x = 10

Now to divide by a fraction is the same as multiplying by the reciprocal.

x = 10 * 2/5 = 4

b.) 2/7 x - 3 = 2

2/7 x = 5

To divide by a fraction is the same as multiplying by the reciprocal.

x = 5 * 7/2 = 35/2 = 17.5

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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