What is slope of the line -3y=8x -5?

Answers

Answer 1
When finding the slope of a line you need to get it into the form y=mx+b, m being your slope. So if you divide your entire problem by -3 to isolate your y, you get y=-8/3x+5/3. This means that -8/3 will be your slope.
Answer 2
Final answer:

The slope of the line given by the equation -3y=8x-5 is -8/3. This is obtained by re-arranging the equation into slope-intercept form (y=mx+b), where 'm' is the slope.

Explanation:

The equation given is -3y=8x-5. To find the slope of the line, we first need to convert this equation to the form y=mx+b, which is the slope-intercept form of a line. In this form, the coefficient 'm' represents the slope, and 'b' represents the y-intercept.

First, divide all terms by -3 to transform the equation. Doing so gives us y=-8/3x + 5/3. Thus, the slope of the line is -8/3. This means that for every increase of 1 unit on the x (horizontal) axis, y (on the vertical axis) will decrease by 8/3 units.

Different lines can have different slopes. A slope can be positive, negative, zero, or undefined. In this case, because our slope is -8/3, we have a line that slopes downwards when reading from left to right.

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Related Questions

A pumpkin is thrown horizontally off of a building at a speed of 2.5\,\dfrac{\text m}{\text s}2.5 s m ​ 2, point, 5, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction and travels a horizontal distance of 12\,\text m12m12, start text, m, end text before hitting the ground. We can ignore air resistance.

Answers

Answer:

-47.0

Step-by-step explanation:

Final answer:

The question pertains to Physics, specifically kinematics. The pumpkin's horizontal velocity and distance traveled are given, but without vertical distance, we can't compute the time of flight or height of the building. More information is needed.

Explanation:

The subject of your question is Physics, specifically kinematics, which is the study of motion. Given that the pumpkin was thrown horizontally with a velocity of 2.5 m/s and it landed a horizontal distance of 12m from the base of the building, we could find the height of the building or the time the pumpkin was in the air.

The time it takes the pumpkin to hit the ground depends solely on the vertical motion. So we must find the time it takes for an object to fall from the height of the building. This time of flight can be calculated by using a kinematic formula: 2gh = v², where g is the gravitational acceleration (9.8 m/s² on Earth).

However, as the vertical distance travelled by the pumpkin isn't provided in this problem, we can't calculate the time using the given data. More information is needed to solve this problem appropriately.

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scientific notation for 1,424,600,000?

Answers

Answer:         1,424,600,000 =  1.4246 × 10^9

Step-by-step explanation:  ten to the power of 9 =1000000000

                                               1000000000 x  1.4246 = 1 ,424,600,000

Please help me idk this

Answers

Answer:

82.5

Step-by-step explanation:

I'm assuming you have to find the area of the triangle to find out how much cardboard she needs so you need the formula:

A =[tex]\frac{1}{2}[/tex]bh

A =[tex]\frac{1}{2}[/tex] 11 x 15

A =[tex]\frac{1}{2}[/tex] 165

A = 82.5

Sorry if its wrong

A number cube is rolled. What is the probability that the cube lands on an odd number.

Answers

Answer:

1/3 or 3/6 they are the same thing

Step-by-step explanation:

Answer:

The probability of rolling an odd number is 5/6

Step-by-step explanation:

probability: desired/all

Let's find the possible outcomes of rolling odd.

1,3,5 are all odd. We have 3 outcomes.

Now find the possible outcome of a power of 2.

2 is

2

1

, 4 is

2

2

. We have 2 DIFFERENT outcomes.

(If these outcomes overlapped, we would have to subtract to get unique outcomes. In this case, these outcomes are different)

Now, we find the total number of possible outcomes.

A dice has 6 different outcomes.

Now add up the desired outcomes,

3 + 2 = 5

and so the probability is

5/6

Woodcut artist makes calendars by hand in one workday he can make approximately 4 calendars. If he works for nine weeks (working five days per week, how many calendars can he produce

Answers

Answer:

180 calendars  

Step-by-step explanation:

Given that in one workday he can make 4 calendars

Nine weeks (working five days per week)

=> the total number of days he works is: 9*5 = 45 days

=> the  total number of calendars he can make in nine weeks is:

the total number of days he works * the number of calendars he make in one day

= 45* 4 = 180 calendars  

Hope it will find you well.

Macy of New York sold LeeCo. of Chicago office equipment with a $7,600 list price. Sale terms were 1/10, n/30 FOB New York. Macy agreed to prepay the $20 freight. LeeCo. pays the invoice within the discount period. What does LeeCo. pay Macy?

Answers

Answer:

$7544 is the amount paid

Step-by-step explanation:

In this question, we are asked to calculate the amount Leeco pay Macy given the data in the question.

Firstly, we calculate the Discount amount.

That would be 1% ( from 1/10)

that is 7,600 * 1% = $76

Now, we proceed to subtract this value from cost of office equipment; 7,600 - 76 = $7,524

Afterwards, we can now add the freight charges = $7,524 + 20 = $7544

Answer: LeeCo. pay Macy 7544 dollars

Step-by-step explanation:

Given that the office equipment was sold at $7,600

And  Sale terms were 1/10, n/30 FOB New York. Macy agreed to prepay the $20 freight.

Then,

7600 - 7600(0.01) + 20

= 7600 - 76 + 20

= 7544 dollars

LeeCo. pay Macy $7544

The weight distribution of parcels sent in a certain manner is normal with meanvalue 12 pounds and standard deviation 3.5 pounds. The parcel service wishes to establish aweight valuecbeyond which there will be a surcharge. What value ofcis such that 99% ofall parcels are under the surcharge weight?

Answers

Answer:

The parcel with weight less than 20.14 pounds are 99% of all parcels under the surcharge weight.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 12 pounds

Standard Deviation, σ = 3.5 pounds

We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.

Formula:

[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]

We have to find the value of x such that the probability is 0.99

[tex]P( X < x) = P( z < \displaystyle\frac{x - 12}{3.5})=0.99[/tex]  

Calculation the value from standard normal z table, we have,  

[tex]\displaystyle\frac{x - 12}{3.5} = 2.326\\\\x = 20.141\approx 20.14[/tex]  

Thus, parcel with weight less than 20.14 pounds are 99% of all parcels under the surcharge weight.

Which expression represents the approximate area of the circle in square inches?a.9.42 times 3 b.9.42 times 3 squared c.9.42 times 6 d.9.42 times 6 squared

Answers

Answer: The answer is B

Step-by-step explanation:

Answer:

A.  9.42

Step-by-step explanation:

The Thomas family went for a Sunday drive. Before they left, Mr. Thomas noticed the gas tank was ¾ full. When they returned home the gas tank was ⅓ full. If the gas tank holds 18 gallons, how many gallons of gas did the car use on the drive?

Answers

Answer:

7.5 gallons

Step-by-step explanation:

Given:

The Thomas family went for a Sunday drive.

Before they left, Mr. Thomas noticed the gas tank was ¾ full.

When they returned home the gas tank was ⅓ full.

Total capacity of the gas tank = 18 gallons

Question asked:

How many gallons of gas did the car use on the drive?

Solution:

Before they left, quantity of gas in the tank = [tex]\frac{3}{4} \times18=\frac{54}{4} =13.5\ gallons[/tex]

When they returned, quantity of gas in the tank = [tex]\frac{1}{3} \times18=\frac{18}{3} =6\ gallons[/tex]

Quantity of gas used on the drive = 13.5 - 6 = 7.5 gallons

Therefore, 7.5 gallons of gas used on the drive by Thomas family.

A picture frame is 9 inches long and 6 inches wide it can display pictures 6 inches long and 4 inches wide what is the area of the picture frame

Answers

Answer:

54

Step-by-step explanation:

multiply 9 x 6 to get the answer above

The area of the picture frame, after subtracting the area of the displayed picture, is 30 square inches.

To find the area of the picture frame, we need to subtract the area of the picture it displays from the area of the entire frame.

The area of the entire frame can be calculated by multiplying its length by its width:

[tex]\[ \text{Area of frame} = \text{Length} \times \text{Width} \][/tex]

Given that the frame is 9 inches long and 6 inches wide:

[tex]\[ \text{Area of frame} = 9 \times 6 = 54 \text{ square inches} \][/tex]

Now, we need to subtract the area of the picture it displays. Since the picture is 6 inches long and 4 inches wide:

[tex]\[ \text{Area of picture} = \text{Length} \times \text{Width} = 6 \times 4 = 24 \text{ square inches} \][/tex]

So, the area of the picture frame is:

[tex]\[ \text{Area of frame} - \text{Area of picture} = 54 - 24 = 30 \text{ square inches} \][/tex]

Therefore, the area of the picture frame is 30 square inches.

Elasticity of Demand The demand function for a certain brand of backpacks is
P=50 ln(50/x)
where P is the unit price in dollars and X is the quantity (in hundreds) demanded per month.


1) Find the elasticity of demand, and determine the range of prices corresponding to inelastic, unitary, and elastic demand.

2) If the unit price is increased slightly from $50, will the revenue increase or decrease?

Answers

Answer:

See explanation

Step-by-step explanation:

Solution:-

- The demand function of a certain brand is given as price P a function of x quantity of goods ( in hundred ) demanded per month. The relation is:

                           P ( x ) = 50 Ln ( 50 / x ).

- The point price elasticity ( E ) of demand is given by:

                           [tex]E = \frac{P}{x}*\frac{dP}{dx}[/tex]  

- Where, dP / dx : is the rate of change of price ( P ) with each hundred unit of good ( x ) is demanded.

- To determine the " dP / dx " by taking the first derivative of the given relation:

                          P ( x ) = 50 Ln ( 50 / x ).

                          d P ( x ) / dx = [ 50*x / 50 ] * [ -1*50 / x^2 ]

                                              = - 50 / x

- Hence the point price elasticity of demand is given by:

                          E = - ( P / x ) * ( 50 / x )

                          E = -50*P / x^2    

- For an inelastic demand, ! E ! is < 1:

                          ! -50*P / x^2 ! < 1

                          50*P / x^2 < 1

                          P < x^2 / 50

- For an unitary demand, ! E ! is =  1:

                          ! -50*P / x^2 !  = 1

                          50*P / x^2 = 1

                          P = x^2 / 50

- For an inelastic demand, ! E ! is > 1:

                          ! -50*P / x^2 ! > 1

                          50*P / x^2 > 1

                          P > x^2 / 50

2)

If the unit price is increased slightly from $50, will the revenue increase or decrease?

- We see from the calculated demand sensitivity d P / dt:

                          d P ( x ) / dx = - 50 / x

- We see that as P increases the from P = $50, the quantity of goods demanded would be:

                          50 = 50 ln(50/x)

                           1 = Ln ( 50 / x )

                           50/x = e

                           x = 50 / e

Then,

                          d P ( x ) / dx = - 50 / ( 50 / e )

                          d P ( x ) / dx = - e

- We see that if price slightly increases from $ 50 then the quantity demanded would decrease by e (hundreds ) goods.

- The decrease in the quantity demanded is higher than the increase in price. The revenue is given by the product of price P ( x ) and x:

                Revenue R ( x ) = P ( x ) * x

                                = 50*x*ln(50/x)

Then the product of price and quantity goods also decreases; hence, revenue decreases.

HELP PLZ!!! Which of the following os the correct equation for this function?

Answers

i think the answer is c

Answer:

The correct answer is C! I just got it right:)

Solve for x. x^2 +12x+27=0

Answers

Answer:

x= -3,-9

Step-by-step explanation:

Answer: 9,3

Step-by-step explanation:

-2y-8+4y−2y−8+4y
A)−2(y+4)+4y
B)4(−2+y)−2y
C)none above

Answers

Answer:

( C ) "none above"

Step-by-step explanation:

first you start by combining like terms

-2y-8+4y-2y-8+4y

-8+2y-2y-8+4y

-16+4y or 4y-16 would be the max simplification!

hope that helps  

PLZ HELP ME ASAP What would coordinate d be

Answers

Answer:

Coordinate D would be (1,3)

Step-by-step explanation:

The difference between B and C is 2 up and 3 right, so that means the difference between A and D would be the same

D = -2+3, 1+2

D = 1, 3

In order to answer the question correctly, please use the following image below:

Find the value of x.

X=(Blank)

Please show all the work on how you got your answer.

Answers

Answer:

70°

Step-by-step explanation:

Minor angle at the centre:

360 - 250 = 110

Two tangents make an angle of 90° each

90 + 90 + 110 + x = 360

x = 360 - 290

x = 70°

A four side sandbox has exactly two right angles, two side leghts 5 ft, and two side leghts 6 ft. What geometric shape best describes the shape of the sandbox?

Answers

Answer:

Square

Step-by-step explanation:

If its 4 sided and two measures are 90 degrees then that means the other two must be 90 degrees. That means its a square or a rectangle. Now since the 4 sides arent all the same and two sides being 6 and two sides being 5, you can rule out it being a square.

Solve the equation below. W
5x - 18 = 2(3x - 12) + 4
Step by step please

Answers

Answer:

x=2

Step-by-step explanation:

To solve, we need to isolate the variable, x

5x-18=2(3x-12) +4

Distribute the 2

5x-18=2*3x + 2*-12 +4

5x-18=6x-24+4

Combine like terms (add -24 and 4)

5x-18=6x-20

Add 18 to both sides

5x=6x-2

Subtract 6x from both sides

-x=-2

Divide both sides by -1

x=2

Answer: [tex]x=2[/tex]

Step-by-step explanation:

1. Get rid of the parenthesis. You can do this by multiplying.

[tex]5x-18=2(3x-12)+4[/tex]

[tex]5x-18=6x-24+4[/tex]

2. Move the variables to the left and the numbers to the right. If one of the numbers is not on its side (left or right) and you need to move it, change the sign.

[tex]5x-6x=-24+4+18[/tex]

Solve: Since the result is -1 and we have a variable, we can omit it.

[tex]-x=-24+22[/tex]

[tex]-x=-2[/tex]

Divide both sides by -1 to isolate the x

[tex]\frac{-(1)x}{-1} =\frac{-2}{-1}[/tex]

Solve:

[tex]x=2[/tex]

3. Proof: Replace the result in the original equation and both sides should be equal. (this step is for you to make sure that your answer is correct.

[tex]5x-18=2(3x-12)+4[/tex]

[tex]5(2)-18=2[3(2)-12]+4[/tex]

[tex]10-18=2(6-12)+4[/tex]

[tex]-8=2(-6)+4[/tex]

[tex]-8=-12+4[/tex]

[tex]-8=-8[/tex]

As you can see, both sides are equal to each other; which proves that [tex]x=2[/tex] is correct.

A bag contains 3 red marbles, 7 white marbles, and 5 blue marbles. You draw 3 marbles, replacing each one before drawing the next. What is the probability of drawing a red, then a blue, and then a white marble?

Answers

3 + 7 + 5 = 15 total marbles.

3 red, picking a red would be 3/15, reduced to 1/5

5 blue, picking a blue would be 5/15, reduced to 1/3

7 white, picking a white would be 7/15

Picking all 3 would be: 1/5 x 1/3 x 7/15 = 7/225

Answer:

7/225

Step-by-step explanation:

To find probability, we take the number of ways the specific event can occur and divide it by the number of ways any event can occur.

The probability of drawing a red marble is: (# of red marbles) / (total # of marbles) = 3/(3 + 7 + 5) = 3/15 = 1/5.

The probability of drawing a blue marble is: (# of blue marbles) / (total # of marbles) = 5/(3 + 7 + 5) = 5/15 = 1/3.

The probability of drawing a white marble is: (# of white marbles) / (total # of marbles) = 7/(3 + 7 + 5) = 7/15.

Now, we want these events to all occur for us. So, we must multiply them by each other: (1/5) * (1/3) * (7/15) = 7/225.

Thus, the probability is 7/225.

Hope this helps!

Which products result in a difference of squares or a perfect square trinomial? Check all that apply.
(5x + 3)(5x - 3)
(7x + 4)(7x + 4)
(2x + 1)(x + 2)
(4x-6)(x+8)
(x - 9)(x -9)
(-3x - 5)(-3x + 6)

Answers

(5x + 3)(5x – 3)
(7x + 4)(7x + 4)
(x – 9)(x – 9)
(–3x – 6)(–3x + 6)
Here are the answers thank me later

6 11 of students at a school are girls. If there are 4741 students at the school, how many are boys?

Answers

Answer:

2155 or 5/11

Step-by-step explanation:

(5/11)4741=5×431=2155 boys

PLS HELP Use elimination to solve each system of equations.

6x + 5y = 4]
6x - 7y = -20

Answers

Answer:

x = -1

y = 2

Step-by-step explanation:

6x + 5y = 4

6x - 7y = -20

__________ -

____12y = 24

______y = 24/12

______y = 2

6x + 5y = 4

6x + 5(2) = 4

6x + 10 = 4

6x = 4 - 10

6x = -6

x = -6/6

x = -1

Make as the brainliest answer

Answer:

x = -1

y = 2

Step-by-step explanation:

6x + 5y = 4

6x - 7y = -20

____________--

12y = 24

y = 24/12

y = 2

6x + 5y = 4 | ×7 |

6x - 7y = -20 | ×5 |

42x + 35y = 28

30x - 35y = -100

______________+

72x = -72

x = -72/72

x = -1

Sela's piano lesson starts at 4:45pm. The lesson is 30 minutes long. When does her lesson end

Answers

Answer:

5:15

Step-by-step explanation:

Split the 30 mins in half. 45+15 = 60 (a new hour) Now, its 5:00. Add 15 and you get the answer.

Answer:

Step-by-step explanatio

Assume that 0
a. 16/63
b. -16/63
c. 63/16
d. -63/16

please help

Answers

The answer to this question is B

what’s the surface area of 5 inches and 7 inches

Answers

Answer:

Is the surface a rectangle?? If so, then the surface area would be 35

Step-by-step explanation:

5 * 7 = 35

Hope this helped!!  :)

Answer:

35 inches

Step-by-step explanation:

Given f (x )equals 5 x plus 9 and g (x )equals 3 x squared​, first find f plus g​, f minus g​, ​fg, and StartFraction f Over g EndFraction . Then determine the domain for each function.

Answers

Answer with Step-by-step explanation:

We are given that

[tex]f(x)=5x+9[/tex]

[tex]g(x)=3x^2[/tex]

f(x) is linear function

Domain of f(x)=R

g(x) is a quadratic function

Domain of g(x)=R

[tex](f+g)(x)=f(x)+g(x)=5x+9+3x^2[/tex]

Domain of (f+g)=R

(f-g)(x)=f(x)-g(x)=[tex]5x+9-3x^2[/tex]

Domain of (f-g)=R

[tex]fg(x)=f(g(x))=f(3x^2)=5(3x^2)+9=15x^2+9[/tex]

Domain of fg=R

[tex]\frac{f}{g}=\frac{5x+9}{3x^2}[/tex]

The function is not defined where g(x)=0

[tex]3x^2=0[/tex]

[tex]x=0[/tex]

Domain of f/g=R-{0}

Do you know the answers?

Answers

Answer:

In the picture above

Step-by-step explanation:

I hope that it's a clear solution and explanation.

Goodluck.

Solve by elimination 4x-8y=8 -5x-y=-21

Answers

X will equal 2, Y will equal 1

An office manager reported that he spent $350 on gifts for employees. He said that $240 was spent on clothing with each man receiving a $20 T-shirt and each woman receiving a $40 sweatshirt. He said that $110 was spent on desk accessories with each man receiving a $5 calendar and each woman receiving a $15 stapler. If m equals the number of men and wequals the number of women, the system of equations that represents the expenses is as follows:

m+2w=12

m+3w=22

Solve the system, showing all steps, and then discuss the reasonableness of the answer.

Answers

Answer:

The correct answer is the solution of the system of equations are w = 10 and m = -8. The answer is not at all reasonable.

Step-by-step explanation:

The two system of equations are m + 2w = 12 and m + 3w = 22 where m and w represent the number of men and women working in an office.

We subtract both the sides with each other in order to solve the system of equation.

⇒ m + 3w - m - 2w = 22 - 12

⇒ w = 10.

⇒ m = -8.

The values of w and m are not reasonable at all. Since m and w represent the number of men and women in an office, they cannot be less than zero.

For the school fair, 3 English teachers, 8 math teachers, 5 science ​teachers, and 4 social studies teachers volunteered for the dunking ​booth. ​ ​One of the teachers will be chosen at random for the dunking ​booth. ​ ​Is it likely that a math teacher will be chosen for the dunking booth? Explain your answer.

Answers

Answer:

The likelihood that a math teacher is selected is 2 out of 5 possible cases or 40% chance.

Step-by-step explanation:

Please kindly check the attached files for explanation

Final answer:

It is likely that a math teacher will be chosen for the dunking booth since the probability is 8 out of 20 or 40%, which is close to a 50% chance.

Explanation:

To determine if it is likely that a math teacher will be chosen for the dunking booth, we need to look at the probability of selecting a math teacher from the total group of teachers. The total number of teachers is the sum of the English, math, science, and social studies teachers, which is 3 + 8 + 5 + 4 = 20. Since there are 8 math teachers, the probability of selecting a math teacher is 8 out of 20, or 40%.

This probability can be further simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 4, giving us 2 out of 5, or 40%. This indicates that there is a likelihood of 2 in 5 that a math teacher will be chosen, which can be considered likely since it is close to a 50% chance.

Other Questions
Consider the postwar experiences of Vietnam veterans. What experiences were unique to the veterans of Vietnam? Which ones are experienced, to a greater or lesser degree, by all war veterans? SUBJUNTIVO o no. Complete the sentence with the appropriate verb form: present subjunctive (yo baile), present indicative (yo bailo), or infinitive (bailar) (20 points)1.Estamos seguros de que ella podr comprar los boletos. (poder)2. A mi madre le preocupa que yo estudie tantas horas. (estudiar)3.Dudo que yo duerma durante el viaje en avin. (dormirse)4.T prefieres __________________ una pizza vegetariana? O de jamn? (comer)5.Ojal que nosotros __________________ de vacaciones a Chile el prximo ao! (ir)6.Sus consejeros le sugieren que __________________ a tomar el curso. (volver)7.Ellos siempre te recomiendan que __________________ con ropa elegante. (vestirse)8.Es posible que Juana __________________ bien pronto. (ponerse)9.Ella cree que ya __________________ las nueve de la noche. (ser)10.Mam siempre me pide que le __________________ un beso antes de irme. (dar)11.Yo espero que nosotros ___________________ en el concierto de Tomatito. (divertirse) 12.Mi amiga os recomienda que __________________ una casa cerca de la Universidad. (comprar)13.Es una lstima que ustedes no __________________ ms tolerantes. (ser)14. Es probable que t __________________ cosas interesantes en la reunin de hoy. (or)15.Yo te aconsejo que __________________ una corbata para la entrevista. (llevar)16.No queremos __________________ la barba hoy. (afeitarse)17.Ernesto no piensa que __________________ posible terminar el examen a tiempo. (ser)18.Tu hermano se alegra de que t __________________ a la protesta con l. (ir)19. No est claro que ellos ___________________ la respuesta correcta. (saber)20.Me encanta que t me __________________ eso. (decir) Evaluate 6.5b - 12.03 when b= 3 is this expression contain a variable?7+15n It is proposed to use Liquid Petroleum Gas (LPG) to fuel spark-ignition engines. A typical sample of the fuel on a volume basis consists of: 70% propane C3H8; 5% butane C4H10; and 25% propene C3H6 The higher heating values of the fuels are 50.38 MJ/kg for propane, 49.56 MJ/kg for butane, and 48.95 MJ/kg for propene. a) Work out the overall combustion reaction for stoichiometric combustion of 1 mole of LPG with air, and determine the stoichiometric F/A and A/F ratios. b) What are the higher and lower heating values per unit mass of LPG? Best Fit Club, a chain of gyms and spas, requires its customers to pay a quarterly or an annual fee to use its services. Irrespective of whether they frequently use the services during the payment period or not, members have to pay in advance. Which of the following business models does this best illustrate?Health basedSubscription basedNone of above How was Thomas Jefferson acting after the Louisiana Purchase? Worldwide Company obtained a charter from the state in January that authorized 200,000 shares of common stock, $10 par value. During the first year, the company earned $38,200, declared no dividends, and the following selected transactions occurred in the order given: Issued 60,000 shares of the common stock at $12 cash per share. Reacquired 2,000 shares at $15 cash per share from stockholders; the shares are now held in treasury. Reissued 1,000 of the shares in transaction (b) two months later at $18 cash per share. 3. Prepare the stockholders equity section of the balance sheet at December 31. TIP: Because this is the first year of operations, Retained Earnings has a zero balance at the beginning of the year. (Amounts to be deducted should be indicated by a minus sign.) Which reflects a consequence of the policy of glasnost in the soviet union not intended by the leadership in moscow? Why are the pyramids at Giza so astonishing?a. They were made with such skill that they endure to this day.b. The materials used to construct the pyramids were later used to buildmosques and houses.C. They were designed as monuments to the pharaohs.d. They were the first pyramids ever constructed. New-Tech Corporation borrowed $20,000 from the bank on March 1, 2011. The note carried a 9% annual interest rate and a 1-year term to maturity. The company paid the principal and the interest in cash on the maturity date. What amount of interest expense will New-Tech Corporation show on its 2011 and 2012 income statements? 2011 2012 a $ -O- $1,800 b. $1,800 $ -O- $1,500 $ 300 d. $1,350 $ 450 THI VIOSLin needs to mix a specific shade of orange paint for the set of the school play.The color uses 3 parts yellow for every 2 parts red. Swifty Corporation required production for June is 42000 units. To make one unit of finished product, three pounds of direct material Z are required. Actual beginning and desired ending inventories of direct material Z are 210000 and 240000 pounds, respectively. How many pounds of direct material Z must be purchased? Work and energy have the same units becauseA. the words "work" and "energy" are interchangeable.OB. work is a measurement of the transfer of energy.C. work opposes energy.D. whenever work is lost, energy is gained. What is the slope of the line that contains the points (-2,2) and (3,4)? Do you think states should have the right to nullify, or ignore laws thefederal government has passed? What would that look like today? Read the selection and answer the question. The Colosseum Imagine being in Rome 1900 years ago. Huge crowds of people hurry down the street toward you, filled with excitement. They are going to see a battle of gladiators at the Colosseum, and the show is about to begin. Gladiator battles were among the many spectacles that took place in Rome's Colosseum. The structure was a large oval similar to baseball and football stadiums of today. This remarkable arena was built almost 2000 years ago and was used for almost four centuries. Construction of the Colosseum began in 72 A.D. during the rule of the Roman Emperor Vespasian. It was completed eight years later by Vespasian's son, Titus. The Flavian Amphitheater, as it was first called, stood 157 feet high. It was 620 feet long and 513 feet across. There were 80 entrances around the base: 76 for spectators, two for participants in the games, and two just for the emperor and his family. As in modern sports arenas, there were different seating levels. The ringside box seats were reserved for important officials. Lower level seats cost more than the upper level seats. Historians believe that the Colosseum could hold 45,000 people. (That's bigger than Boston's Fenway Park, which holds 34,000 Red Sox fans.) It even had a system for drawing a large awning over the seating area to protect spectators from the hot sun. The inside oval was 287 feet long and 180 feet wide, making it about the size of a modern-day football field. It was the largest arena space in the world at that time. This area was built of wood and covered with sand. Beneath it lay a maze of hallways, rooms, and holding pens that held all of the elaborate decorations and props used in the shows. This arena space could also be flooded with water in order to stage battles with boats! Spectators at the Colosseum often saw violent, bloody shows, and some events lasted all day. Sometimes men hunted wild animals, such as lions and tigers. Duels between gladiators began early in the day with wooden weapons. Battles to the death took place later in the day. Then in 312 A.D., Constantine I became the first Christian emperor of Rome. Under his rule, the shows at the Colosseum became less violent. People began to question whether it was right to hunt animals and hold battles for entertainment. The last known event in the great arena took place in 404 A.D. By that time, the Roman Empire was falling apart and excited crowds no longer filled the stadium. The Colosseum has stood at the center of the city through many centuries since then and can still be seen today.Most of the information in this selection is organized byA chronological order.B comparison/contrast.C problem and solution.D cause and effect. An aquarium is in the shape of a cube. The aquarium can hold between 4096 cubic inches and 8000 cubic inches of water. What are the possible side lengths of the aquarium? Which side did each of these states fight for during the Civil War?Choose Union or Confederacy from each drop-down menu.Illinois: Georgia: Missouri: Virginia: Union states An ant moves along the x-axis from left to right at 5 inches per second. A spider moves along the y-axis from up to down at 3 inches per second. At a certain instant, the ant is 4 inches to the right of the origin and the spider is 8 inches above the origin. At this instant, what is the rate of change of the distance between the spider and the ant