What expression represents the volume of the prism, in cubic units?

Answers

Answer 1
1/2x^3
Is the expression to find the volume of the prism in cubic units
Answer 2

Final answer:

Volume of a prism is represented in cubic units as length x width x height. The SI unit of volume is cubic meter (m³) and a common unit is the liter (L), equivalent to a cubic decimeter (dm³).

Explanation:

Volume is defined as the amount of space occupied by a solid in cubic units, and for a prism that is length x width x height. In the case of volume, it goes like length cubed, represented as V = L³.

The SI unit of volume is cubic meter (m³), equal to the space occupied by a cube of 1m on each edge. A more commonly used unit of volume is the liter (L), which is equivalent to a cubic decimeter (dm³).


Related Questions

How much carbon dioxide is produced from running a microwave (1500 watts) for 10 minutes per day for one month? (round to the tenths place)


HINT: 1.37 pounds CO2 per kWh

Answers

Answer: 10.3 pounds of CO2 is produced

Step-by-step explanation:

Assuming there are 30 days in a month, if the microwave is run for 10 minutes per day, then the number of minutes for which the microwave is run in a month is

30 × 10 = 300 minutes

We would convert from minutes to hours

60 minutes = 1 hour

Therefore,

300 minutes = 300/60 = 5 hours

Also,

1000 watts = 1 kW

Therefore,

1500 watts = 1500/100 = 1.5kw

Therefore, the number of kWh is

1.5 × 5 = 7.5 kWh

If 1.37 pounds CO2 per kWh, then

If 1kWh = 1.37 pounds CO2, then

7.5 kWh = 7.5 × 1.37 = 10.3 pounds rounded to the nearest tenth

Final answer:

A 1500-watt microwave running for 10 minutes per day for one month emits approximately 10.3 pounds of CO2 when rounding to the tenths place.

Explanation:

The question is how much carbon dioxide is produced from running a 1500-watt microwave for 10 minutes a day for a month. To solve this, we first need to calculate the total energy used by the microwave in kWh. Since the microwave uses 1500 watts and is used for 10 minutes daily, we convert this to hours:

10 minutes = 10/60 hours = 1/6 hour

Power in kWh = Power in watts / 1000

Energy used per day in kWh = (1500 watts / 1000) x (1/6 hour) = 0.25 kWh

Next, we need to calculate the monthly energy use:

Energy used per month in kWh = 0.25 kWh/day x 30 days = 7.5 kWh

Using the given conversion factor of 1.37 pounds of CO2 per kWh, the total CO2 emissions can be calculated:

CO2 emissions = 7.5 kWh x 1.37 pounds CO2/kWh = 10.275 pounds of CO2

Finally, rounding to the tenths place:

CO2 emissions for the month = 10.3 pounds (rounded)

Which of the following statements are true about the string lengths for the first craft project and the new project?
Select all that apply.

A.
There are half as many 12-inch strings for the new project as for the craft project.

B.
There are twice as many 8-inch strings for the craft project as for the new project.

C.
Jasmine has the same number of strings for the new project as for the craft project.

D.
The total length of the strings for the craft project is greater than the total length for the new project.

E.
The length of the longest string is the same for both projects.

HELP

SOMEBODY!

Answers

the answers are c and d

suppose you have a 4-liter bucket and a 7-liter bucket. you need 5-liters for an aquarium. Explain how to get 5liters if neither bucket is marked?

Answers

Answer:

it is a 7 step process explained in explanation section

Step-by-step explanation:

Step one

fill 7 litre bucket then pour it in 4 liter bucket

output: 7 litre bucket has 3 litres and 4 litres bucket has 4 liter in it

Step two

drain four liter bucket and pour 3 liter from 7 litre bucket in it

output: 7 litre bucket has 0 litres and 4 litres bucket has 3 liter in it

step 3

fill 7 litre bucket and transfer water from it in 4 liter bucket which has already 3 liter in it

output: 7 litre bucket has 6 litres and 4 litres bucket has 4 liter in it

step 4

drain four liter bucket and pour 4 liter from 7 litre bucket which has 6 litre in it

output: 7 litre bucket has 2 litres and 4 litres bucket has 4 liter in it

step 5

drain 4 litre bucket and pour 2 litre from 7 litre bucket

output: 7 litre bucket has 0 litres and 4 litres bucket has 2 liter in it.

step 6

fill 7 liter bucket fully

output: 7 litre bucket has 7 litres and 4 litres bucket has 2 liter in it.

step 7

pour water from 7 liter bucket in 4 litre bucket which has already 2 litre in it

output: 7 litre bucket has 5 litres and 4 litres bucket has 4 liter in it.

simplify (x -3)(x + 7) using the table method, and identify the resulting expression in standard form.

Answers

X^2 +7x -3x -21= x^2 +4x -21

Math Question Please Help! 25 pts!!!

1.) A basketball player made 2 out of 4 free throws she attempted which is 50%. She wants to know how many consecutive free throws more in a row she would have to make to raise her overall successful baskets divided by attempts or percent of successful free throws to 75%.

A) Write an equation to represent this situation.

B) Solve the equation. How many consecutive free throws would she have to make to raise her percent to 75%?

Answers

Answer:

A) (2+x)/(4+x) × 100 = 75

B) 4

Step-by-step explanation:

2 out of 4

(2+x) out of (4+x)

(2+x)/(4+x) × 100 = 75

(2+x)/(4+x) = 3/4

8 + 4x = 12 + 3x

x = 4

Noah randomly selects one of his eight different pairs of shoes to wear each day. Of his eight pairs of​ shoes, Noah has two pairs of boots and one pair of loafers. For how many days of the next 264 is it expected that Noah will wear either boots or​ loafers?

Answers

Answer:

The expected number of times that Noah wears either boots or loafers is 99.

Step-by-step explanation:

Given:-

- Noah has 8 different pairs of shoes to wear, Out of 8 pairs:

                    two pairs of boots

                    one pair of loafers

Find:-

For how many days of the next 264 is it expected that Noah will wear either boots or​ loafers?

Solution:-

- Denote an Event (A) that Noah selects a pair of boots.

- Denote an Event (B) that Noah selects a pair of loafers.

- The probability of each event is to be determined:

                p ( A ) = Pair of boots / Total pair of shoes

                p ( A ) = 2 / 8

                p ( A ) = 1/4

                p ( B ) = Pair of loafers / Total pair of shoes

                p ( B ) = 1 / 8

- The probability that Noah selects a pair of boot or loafers is independent from each other:

               p ( A U B ) = P (A) + P (B)

               p ( A U B ) = 0.25 + 0.125

                                 = 0.375

- The expected number of days out n = 264 days do we expect Noah to wear either boots or loafers.

- The number of days (trials) n = 264 days

- The probability of success = p ( A U B ) = 0.375

- The expected value = n*p

                                   = 264*0.375

                                   = 99 days

               

Big guy up there done wrote a whole pg. The answer is 99 days. Have a good day.

The question is Fiona's swimming pool is a right rectangular prism. It holds 137 1/2 cubic feet of water. The length of the pool is 6 1/4 feet. The width of the pool is 5 1/2 feet. What is the height of the pool? I searched it up but it gave me different questions that have the name Fiona. I was wondering if you were able to answer it.

Answers

Answer:

The width is 4 feet

Step-by-step explanation:

Yes, I might be able to answer it! Hello there!

In this question, we are asked to calculate the height of a pool which has a shape of right rectangular prism.

The key to solving this problem is simply by knowing the formula for the volume of a right rectangular prism.

Mathematically the volume V is w * h * l where w , h and l are the width, height and length respectively.

Now let’s input these values and get what the height of the pool is.

It would be easier if you had the measurements are in decimals;

137 1/2 becomes 137.5

6 1/4 becomes 6.25

5 1/2 becomes 5.5

kindly note the fraction 1/2 is 0.5 in decimals while the fraction 1/4 is 0.25 in decimals

So now let’s compute the height;

137.5 = w * 6.25 * 5.5

w = 137.5/(6.25 * 5.5)

w = 137.5/(34.375)

w = 4 feet

Solve using quadratic formula

Show your work please!!!!

x^2 + 1/3x + 5/6 = 0

Answers

Answer:

0.3. and 2

Step-by-step explanation:

For this equation: a=1, b=0.3333333333333333, c=0.8333333333333334

1x2+0.333333x+0.833333=0

Step 1: Use quadratic formula with a=1, b=0.3333333333333333, c=0.8333333333333334.

x=

−b±√b2−4ac

2a

x=

−(0.333333)±√(0.333333)2−4(1)(0.833333)

2(1)

x=

−0.3333333333333333±√−3.222222

2

i think this is right :)

Angles! It's Urgent Pleasee help me​

Answers

Answer:

<1 and <2 are alternate exterior angles

<3 and <4 are consecutive interior angles

Step-by-step explanation:

<1 and <2 are alternate exterior angles

Alternate exterior angles are on opposite outside of the lines

<3 and <4 are consecutive interior angles

Consecutive interior angles are on the same side on the inside of the line

need geometry help asap!

image above✨

Answers

Hope this helps with the answer to your question

Convert the angle \theta=\dfrac{17\pi}{18}θ= 18 17π ​ theta, equals, start fraction, 17, pi, divided by, 18, end fraction radians to degrees. Express your answer exactly. \theta=θ=theta, equals ^\circ ∘

Answers

Answer:

θ = 170°

Step-by-step explanation:

Given angle is in radian as,

[tex]\theta^{c} = \dfrac{17 \pi}{18}[/tex]

Here, [tex]\theta^{c}[/tex] symbol represents the angle is in radian.

To convert given angle into degree, multiply the given angle with conversion factor as follows,

[tex]\theta^{\circ} = \theta^{c} \times \left(\frac{180}{\pi }\right)^{\circ}[/tex]

Substituting the values,

[tex]\theta^{\circ} =  \dfrac{17 \pi}{18} \times \left(\dfrac{180}{\pi }\right)[/tex]

Cancelling out the common terms,

[tex]\theta^{\circ} =17\times \left(10\right)[/tex]

Therefore,

[tex]\theta^{\circ} =170^{\circ}[/tex]

Therefore the value of given angle in degree is 170°

Final answer:

To convert radians to degrees, utilize the conversion factor 180/π. In this instance, we have the angle (17π / 18) radians, which simplifies to 170 degrees when converted to the degree format.

Explanation:

The subject topic of this conversation is about converting radians to degrees. Specifically, we're looking at how to convert the radian measurement = 17 / 18 into degrees.

One radian is equivalent to 180/ degrees. As such, to convert radians to degrees, you multiply the radian measurement by this conversion factor (180/).

Have a look at the calculation: = (17 / 18) * (180/).

The cancels out leaving us with / * . This calculation gives us = 170 degrees.

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Researchers are interested in the effect of a certain nutrient on the growth rate of plant seedlings. Using a hydroponics grow procedure that utilized water containing the nutrient, they planted six tomato plants and recorded the heights of each plant 14 days after germination. Those heights, measured in millimeters, were as follows: 53.1, 60.2, 60.6, 62.1, 64.4, 68.6. Given a margin of error of 5.4 mm, construct a 95% confidence interval for the population mean height.

Answers

Answer: The required confidence interval is (56.1,66.9).

Step-by-step explanation:

Since we have given that

53.1, 60.2, 60.6, 62.1, 64.4, 68.6

[tex]\bar{x}=\dfrac{53.1+60.2+60.6+62.1+64.4+68.6}{6}=\dfrac{369}{6}=61.5[/tex]

n = 6

Margin of error = 5.4

At 95% level of confidence, z = 1.96

So, the confidence interval would be

[tex]\bar{x}\pm \text{Margin of error}\\\\=61.5\pm 5.4\\\\=(61.5-5.4,61.5+5.4)\\\\=(56.1,66.9)[/tex]

Hence, the required confidence interval is (56.1,66.9).

A bonsai tree is 18 inches wide and stands 2 feet tall. What is the ration of the width of the bonsai to its height?

Answers

Answer:

3:4

Step-by-step explanation:

Before we start to deal with the ratio, we need all lengths in the same units.

The width is 18 inches.

The height is 2 feet.

Let's convert the height to inches. Then we will have both dimensions in the same units, inches.

2 ft * (12 in.)/ft = 24 in.

Now we have:

width = 18 in.

height = 24 in.

ratio of width to height = 18 in. to 24 in. = 18/24 = 3/4 = 3:4

Final answer:

The ratio of the width to the height of the bonsai tree is 3:4 after converting the height into inches and simplifying the ratio.

Explanation:

The question asks to find the ratio of the width of a bonsai tree to its height. Since the width is given in inches and the height in feet, we first need to convert the height into inches to have a consistent unit of measure. There are 12 inches in 1 foot, so the bonsai tree's height is 2 feet times 12 inches/foot, which equals 24 inches.

Now, we can write the ratio of the width to height as 18 inches (width) to 24 inches (height). This simplifies to 3:4 after dividing both terms by the greatest common factor, which is 6.

Which is the simplified form of the expression (x^-3)(y^2)/(x^4)(y^6)

Answers

Pls mark Brainliest.

Answer:

If we write the final answer with negative exponents, then it will be:

(x^-7)(y^-4)

If we write this as a fraction, it will be:

1/(x^7)(y^4)

Step-by-step explanation:

x^-3 is equivalent to 1/x^3. We can put this in the denominator expression and calculate the product:

[tex]\frac{y^{2} }{(x^4)(x^3)(y^6)}[/tex]    This simplifies into:

[tex]\frac{y^{2} }{(x^7)(y^6)}[/tex]    after the denominator simplifies.

If we write the final answer with negative exponents, then it will be:

(x^-7)(y^-4)

If we write this as a fraction, it will be:

1/(x^7)(y^4)

The simplified form of [tex]\(\frac{{x^{-3} \cdot y^2}}{{x^4 \cdot y^6}}\)[/tex] is [tex]\(\frac{1}{{x^7 \cdot y^4}}\)[/tex], with all exponents as positive values in the denominator.

To simplify the expression [tex]\(\frac{{x^{-3} \cdot y^2}}{{x^4 \cdot y^6}}\)[/tex], we can apply the rules of exponents. First, we subtract the exponent in the denominator from the exponent in the numerator for each variable (x and y).

For x, we have [tex]\(x^{-3 - 4} = x^{-7}\)[/tex], and for y, we have [tex]\(y^{2 - 6} = y^{-4}\)[/tex].

So, the expression simplifies to [tex]\(x^{-7} \cdot y^{-4}\).[/tex]

To express this in a more conventional form, we can move the negative exponents to the denominator, resulting in [tex]\(\frac{1}{{x^7 \cdot y^4}}\).[/tex]

In this simplified form, the expression has all positive exponents and represents the same mathematical relationship as the original expression but in a more compact and manageable format.

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In your own words, describe what an exponential function is.

Answers

A function whose value is a constant raised to the power of the argument, especially the function where the constant is e
Final answer:

An exponential function is a mathematical concept characterized by a constant base elevated by a variable exponent. The rate of growth or decay of the function is proportional to its current value, leading to exponential growth or decay.

Explanation:

An exponential function is a mathematical concept where a constant base is elevated by a variable exponent. The base could be any positive value different from one. A simple example of this type of function is f(x) = 2^x, where 2 is the constant base and x is the variable exponent.

The unique property of an exponential function is that the rate of growth or decay is proportionate to its current value. This means, as the variable x increases, the function value increases exponentially when the base is greater than one - thus showing exponential growth. Conversely, if the base is less than one but greater than zero, the function value decreases as x increases - thus representing exponential decay.

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6x squared plus 2x minus 20 equals 0

Answers

Answer:

x=2 or 5/3

Step-by-step explanation:

the explanation is in the picture

please like and Mark as brainliest

Answer:

x = 5/3

x = -2

Step-by-step explanation:

6x² + 2x - 20 = 0

(6x - 10)(x + 2)

= 6x² + 12x - 10x - 20

= 6x² + 2x - 20

6x - 10 = 0

6x = 10

x = 10/6

x = 5/3

x + 2 = 0

x = -2

Answer the question please I don’t get it either

Answers

Answer:

The top angle is 60 degrees

Step-by-step explanation:

Triangle angle sum equals to 180. 90 plus 30 is 120 and when you subtract that from 180 tada! 60

What she said :)










Very good

What word goes with the image?

Answers

Answer:

Wavelength

Step-by-step explanation:

The picture below is an example of a wavelength which is very similar.

Answer: amplitude

Step-by-step explanation:

The graph of the function f(x) = (x − 3)(x + 1) is shown. Which describes all of the values for which the graph is positive and decreasing?

all real values of x where x < −1
all real values of x where x < 1
all real values of x where 1 < x < 3
all real values of x where x > 3

Answers

Answer:

option a all real values of x where x < −1

Step-by-step explanation:

What is the equation of the line that passes through the point (-5,3)(−5,3) and has a slope of fraction -6/5

Answers

Answer:

Step-by-step explanation:

Use the point-slope formula.

y - y_1 = m(x - x_1)  when :     x_1 = -5  and    y_1 =3 and   m= -6/5

the equation :   y - 3 = -6/5(x +5)

Answer:

y=-6/5x-3

Step-by-step explanation:

How do I simplify this.

Answers

Answer:

8/5

Step-by-step explanation:

I'd write the following:

2       1

---- ÷ ----

 5      4

To divide by a fraction (such as 1/4), invert the divisor fraction and multiply instead:

2       4

---- · ---- = 8/5

 5      1

d + 0.5 = 0.75
d =
Solve the equation.

Answers

Answer: 0.25

Step-by-step explanation:

0.75-0.5= 0.25

Answer:

d= 0.75-0.5

d= 0.25

Step-by-step explanation:

so firstly you subtract 0.5 from both sides

d= 0.75-0.5

d=0.25

Factor this expression completely.
-21x + 28
7 (3x - 4)
-7(3x – 4)
- 7 (3x + 4)
- (21x - 4)

Answers

Answer:

− 21 x + 28 ,  7 ,  3 x − 4 ,  − 7 ( 3 x − 4 ) ,  − 7 , 3 x + 4 ,  − ( 21 x − 4 )

Step-by-step explanation:

too much to explain sorry

Hope this helped!

The factor of the expression -21x + 28 is equal to  -7(3x – 4). The correct option is B.

What is an expression?

The numerical variables and operations denoted by the addition, subtraction, multiplication, and division signs are combined in the mathematical expression.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols. They can also denote the operation order and other properties of the logical syntax.

Given expression is -21x + 28, The value of the expression will be calculated as,

E = -21x + 28

Take -7 common from the whole expression,

E = -21x + 28

E = -7 ( 3x - 4 )

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This is a building on the grounds of the us Air Force academy in Colorado featuring a glass skylight resembling the tail of a jet fighter that points towards the North Star the building is 150 feet tall and to estimate its area we should use which geometric solid

Answers

Answer:

Pyramid

Step-by-step explanation:

If P=x²-yz , Q=y²-x² ,R=z²-xy, Then find PQR

Answers

[tex]PQR=( {x}^{2} - yz)( {y}^{2} - {x}^{2} )( {z}^{2} - xy) = \\ = {x}^{2} {y}^{2} {z}^{2} - {x}^{3} {y}^{3} - {x}^{4} {z}^{2} + {x}^{5} y - {y}^{3} {z}^{3} + \\ + x {y}^{4} z + xy {z}^{3} - {x}^{2} {y}^{2} z[/tex]

I don't know if it was necessary to open the brackets, but I think you can write it like this:

[tex]PQR=( {x}^{2} - yz)( {y}^{2} - {x}^{2} )( {z}^{2} - xy) \\ [/tex]

Could 1.5, 2.5, 3.5 and 6, 10, 12 be the corresponding sides of two similar triangles

Answers

Answer:

No

Step-by-step explanation:

If the ratios of the corresponding sides are equal then they would be the sides of 2 similar triangles.

Calculate the ratio of corresponding sides.

[tex]\frac{6}{1.5}[/tex] = 4

[tex]\frac{10}{2.5}[/tex] = 4

[tex]\frac{12}{3.5}[/tex] ≠ 4

Thus the sides are not the corresponding sides of similar triangles.

FASST PLZZZ!! It’s really important!!!

Answers

Answer:

The second, third and fifth are true.

Step-by-step explanation:

1) False, the radius is d÷2=8÷2=4 cm

2) True, C = 2×π×r = π×d = 8π

3) True, C = 8π = 8 × 22/7 = 176÷6 ≈ 25,14

4) False, C = 25,14 ≈ 25

5) True, C = 8π = 8×3,14 = 25,12

Answer: B,C,E

Step-by-step explanation:

Find the angles in this quadilateral

Answers

Answer:

Therefore a= 90°,b=54°, x=54°, y= 162°

Step-by-step explanation:

a=90°

a:b=5:3

5+3= 8

5/8 x A = 90

A is the sum of the angles of a and b divided in the ratio 5:3

5A/8 = 90

cross multiply

5A= 90 X8 = 720

5A=720

A= 720/5= 144°

b= 3/8 x 144 = 3x144/8 = 432/8 = 54

a= 90

b= 54

x:y is in the ratio of 1:3

the Sum of angles in a Quadrilateral is 360°

if the sum of a and b is 144°

then the reamining angles is 360-144= 216°

then x:y=1:3

1+3=4

x= 1/4 x 216= 54°

y= 3/4 x 216= 162°

Therefore a= 90°,b=54°, x=54°, y= 162°

we can see that b = x = 54°

(6x2 + 4x +1) - (4x + 20)

Answers

Answer:

(6x² + 4x +1) - (4x + 20) = 6x² + 21

Step-by-step explanation:

(6x² + 4x +1) - (4x + 20)

= 6x² + 4x -4x + 1 + 20

= 6x² + 21

The answer is for this question is -7

Consider a system to be one train car moving toward
another train car at rest. When the train cars collide, the
two cars stick together.
What is the total momentum of the system after the
collision?
800 kg. m
1,600 kg. m
2,400 kg. m
4,000 kg. m

Answers

Answer: C. 2,400 kg | m/s

Step-by-step explanation:

I just finished the assignment and got everything right ;)

Hope i helped!

Answer:

c

Step-by-step explanation:

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Katlyn Williams owns a company that makes specialized components for the aerospace industry. Her most important customer is a company that is growing at a rate of 33% per year. Katlyn is working hard to grow her firm, because she knows that unless her company continually grows it will not be able to keep pace with the growth of its most important customer. This example illustrates the reason for growth referred to as ________. The combined volume of all the things and aquarium is 1.2510 to the six power gallons the aquarium plants to install a new dolphin take with a volume of 250,000 gallons what was the total volume of all the tanks at the aquarium after the new dolphin tank is installed A qu se le llama comida Chatarra? Complete the sentence with the correct possessive adjective: (1 point) Ils sont avec ________ oncle. (their) Group of answer choices leur vos leurs votre A recent study by Rover.com surveyed a random sample of 1500 dog owners. The researchrevealed that 975 of the dog owners admit to taking more photos of their dog than theirsignificant other. Which of the following gives a 95% confidence interval for the proportionof all dog owners that would admit to taking more photos of their dog than their significantother?(A) 0.65 = 1.96, 0.65(0.35)(B) 0.65 +2.50.65(0.35)1500(C) 0.65 +1.96-1660(D) 975 +2.576-975(E) 975 + 1.96975(625Submit Answer Waterway Enterprises reported cost of goods sold for 2020 of $1,385,600 and retained earnings of $5,415,900 at December 31, 2020. Waterway later discovered that its ending inventories at December 31, 2019 and 2020, were overstated by $103,320 and $38,040, respectively. Determine the corrected amounts for 2020 cost of goods sold and December 31, 2020, retained earnings a. Corrected cost of goods sold $___b. Corrected 12/31/20 retained earnings $ ____. Bill is often described as judgmental, ethnocentric, and punitive. He believes in strict obedience to authority and is intolerant of weakness in others. Which of the following statements would likely be true of Bill?A.He suffers from antisocial personality disorder.B.He scores highly on modern racism scales.C.He has a social identity disorder.D.He has an authoritarian personality. Grammar tutorial: Direct object nouns and pronouns. Fill in the blanks with the missing words or phrases. 1. Cundo compran los libros las chicas? *blank* compran hoy.2. Claudia tiene su libro de geografa? No, est buscndo *blank*.3. El botones lleva las maletas? Si, *blank* lleva.4. Recuerdas el nombre del profesor de japons? Si, *blank* recuerdo.5. Entiendes la leccin? No, no *blank* entiendo.6. Comprendes la gramtica? No, no *blank* comprendo muy bien.7. Eduardo te lleva a la universidad? No, *blank* lleva a la biblioteca.8. El empleado busca su reservacin en la computadora? Si, *blank* busca.9. Gabriel y Roberto van a estudiar biologa? No, no van a estudiar *blank*.10. Pueden ustedes or el telfono? Si, *blank* podemos or. Based on information in the document, people who wish to stop telemarketers from calling their homes should FIRST Suppose that the demand curve for barley can be characterized by the equation P = 100 - 2Qd. Suppose further that price was $10.00 and a $10.00 tax is imposed on the market. a) How many barleys would be purchased at a price of $10.00? After tax? b) What is the amount of tax revenue generated by the tax? c) How much excess burden is generated by the tax? d) What is the amount of consumer surplus before and after the tax? What is the difference in consumer surplus? Is it equal to excess burden plus the tax revenue? For the purpose of calculating GDP, investment is spending on a. stocks, bonds, and other financial assets. b. real estate and financial assets such as stocks and bonds. c. capital equipment, inventories, and structures, including household purchases of new housing. d. capital equipment, inventories, and structures, excluding household purchases of new housing. Adams, Incorporated would like to add a new line of business to its existing retail business. The new line of business will be the manufacturing and distribution of animal feeds. This is a major capital project. Adams, Incorporated is aware you an in an MBA program and would like you to help analysis the viability of this major business venture based on the following information: The production line would be set up in an empty lot the company owns. The machinerys invoice price would be approximately $200,000, another $10,000 in shipping charges would be required, and it would cost an additional $30,000 to install the equipment. The machinery has useful life of 4 years, and it is a MACRS 3-year asset. The machinery is expected to have a salvage value of $25,000 after 4 years of use. This new line of business will generate incremental sales of 1,250 units per year for 4 years at an incremental cost of $100 per unit in the first year, excluding depreciation. Each unit can be sold for $200 in the first year. The sales price and cost are expected to increase by 3% per year due to inflation. Net working capital would have to increase by an amount equal to 12% of sales revenues. The firms tax rate is 40%, and its overall weighted average cost of capital is 10%.Required:Construct annual incremental operating cash flow statements. Solve the equation 1/4 a =3 Suppose that a firm has purchased some land for $1,250,000 a year ago to develop a new outlet, and the land now would sell $2,000,000. They are now evaluating the outlet and that it would cost them $12,000,000 to build the outlet, $150,000 to purchase needed equipment, $15,000 to transport and install the equipment, and $500,000 in inventory ($250,000 coming from one of their warehouses). What would you estimate its initial investment outlay to be?