How do I put this answer as a point?

5x - 4y = 11
x = 3

Answers

Answer 1

Answer:

(3,1)

Step-by-step explanation:

hii ! for this question, x = 3, which is your first point. for the second part, you're going to need to plug x into the 5x.

5(3)-4y=11

15-4y=11

subtract 15 from each side

-4y=-4

y=1

(3,1) is gonna be your answer !

Answer 2
You can plug the (x=3) in the first equation and then solve for y.

5(3)-4y=11

= 0.75

(3,0.75)

Related Questions

data shows that the united states has less intergenerational mobility than germany. that means that:

Answers

The data shows that United States has less intergenerational mobility than Germany this data means that the success of the children of United States depends more on the parents income status in comparison to Germany.

Intergeneration mobility is the extent to which the outcomes of the doings of an individual are different in comparison to his or her parents. This basically means the extent to which an individual is gaining something by his own potential.

According to the data United States has less intergeneration mobility in comparison to the intergenerational mobility of Germany.

From this data that outcomes of a children born in United States depends highly on the parents economic and financial status than German kids.

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Help me please! I don’t understand

Answers

Answer: Yes, they receive more than $82 for their job

Step-by-step explanation:

First, take 70 times 0.05% = $3.50

Then add them to equal $73.50 is their charge for the job!

Now it says that the homeowner tip 15%

So take 73.50 times 0.15% = $11.03

Then add 73.50 with 11.03 = $84.53

Yes, they receive more than $82 for their job

how many different ways are there to seat five people around a circular table, where two seatings are considered to be the same if each person has the same neighbor to the left and the same neighbor to the right?

Answers

If the person has same neighbor to the left and right , Seating is considered same. By using circular permutation, the answer is 2.

What do you mean by permutation?

A conceivable order or arrangement for a group of items, especially one among several alternatives.

What is the formula to calculate permutation?

The formula for permutation is:

[tex]P(n,r)= \frac {n!}{(n-r)!}[/tex] (Permutation)

[tex]P(n)=(n-1)![/tex] (Circular permutation)

Total number of people=5

Since the orientation with same neighbor to left and right is considered same. We consider 3 people as 1 which represent a person with neighbors.

Total people used in circular permutation=3

P(3)= (3-1)!

=2!

=2.

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Joy horneo 2 pizzas y corto cada pizza en 8 pedazos . Joy y su hermano se comieron todo menos 4 pedazos de pizza .¿Que ecuación se puede usar para encontrar p, el número de pedazos que se comieron Joy y su hermano?

Answers

The equation that can be used to find {p}, the number of pieces Joy and her brother ate is : {p} + 4 = 16.

What is a mathematical function, equation and expression?                function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that Joy baked 2 pizzas and cut each pizza into 8 pieces. Joy and her brother ate all but 4 pieces of pizza.

We can write the equation {p} as -

2 x 8 = 4 + {p}

{p} + 4 = 16

Therefore, the equation that can be used to find {p}, the number of pieces Joy and her brother ate is : {p} + 4 = 16.

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{Question in english language is -

Joy baked 2 pizzas and cut each pizza into 8 pieces. Joy and her brother ate all but 4 pieces of pizza. What equation can be used to find p, the number of pieces Joy and her brother ate?

Your uncle is trying to decide between the purchase of a sports car or a SUV. The
sports car is cheaper to buy but costs more to insure. Specifically, the sports car
would cost $5000 plus $2500 each year for insurance, while the SUV would be
$8000 plus $800 per year to insure. After how many years would the amount
spent on each vehicle be the same?

Answers

The number of years it will take such that amount spent on each vehicle is the same will be 2.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Suppose after x years the amount will be the same.

5000 + 2500x = 8000 + 800x

2500x - 800x = 8000 - 5000

1700x = 3000

x = 1.76

Since x must be a whole number so it will round up so x = 2.

Hence "The number of years it will take such that amount spent on each vehicle is the same will be 2".

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Is y=4+x a proportional relationship??

Answers

Hence, [tex]y=4+x[/tex] is a proportional relationship.

What is the proportional?

Proportional or proportion meaning in math means equality between two ratios. In the mathematical equation [tex]\frac{a}{b}=\frac{c}{d}[/tex], where [tex]a[/tex] and [tex]b[/tex] are in a similar proportion as [tex]c[/tex] and [tex]d[/tex].

A proportion is essentially established for solving a word problem in which one of its four quantities is unknown.

Here given that,

We have to check [tex]y=4+x[/tex] is a proportional relationship or not.

So, the given equation is

[tex]y=4+x[/tex]

Here, [tex]4[/tex] is constant.

So, [tex]y=4+x[/tex] is a proportional relationship.

Hence, [tex]y=4+x[/tex] is a proportional relationship.

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a card is selected from a standard deck and replaced. this experiment is repeated a total of five times. find the probability of selecting exactly three clubs. a. identify a trial, a success, and a failure. b. identify n,p,q,and x. c. use the binomial probability formula.

Answers

The probability of selecting exactly three clubs from a standard deck is 0.088. Where n = 5; p = 0.25; q = 0.75; and x = 3 . It is calculated by using binomial probability.

What is the binomial probability formula?

The binomial probability formula is

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾ = [tex]\frac{n!}{(n-x)!x!} p^xq^{(n-x)}[/tex]

Where n is the number of trials, p i is the probability of success, and q is the probability of failure.

And q = 1 - p

Calculation:

It is given that, a card is selected from a standard deck and replaced.

This experiment has repeated a total of five times. i.e., trials n = 5

So, the probability of success is p = 1/4 = 0.25

(Since one card is to be selected from the five trials where each time the card is replaced)

Then, the probability of failure is q = 1 - 0.25 = 0.75

And it is given that we need to find the probability of selecting exactly three clubs. So, the required random variable is x = 3.

Then, using the binomial probability formula, we get

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾

⇒ P(X = 3) = ⁵C₃ p³q⁽⁵⁻³⁾ = ⁵C₃(0.25)³(0.75)² = 0.0878

On rounding off, we get the required probability as 0.088.

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Help please
Multiply.
-2w(-5-w)

Answers

Answer:

[tex]10w + 2w^{2}[/tex]

Step-by-step explanation:

To solve this, we have to apply the distributive property and simplify:

(-2w x -5) + (-2w x -w)

[tex]10w + 2w^{2}[/tex]

Answer:

[tex]10w + 2w {}^{2} [/tex]

Please help, giving thanks and brainliest:) (Please give an explanation if possible and please dont give a fake answer)

Please answer both what angle relationship it is and what x equals

Answers

By analyzing the geometric system presented in the figure, the angle x has a measure of 56°.

What is the measure of the missing angle within a pair of angles?

In this question we find a representation of pair of angles, that is, a geometric system with two adjacent angles. The sum of the measures of the two angles equals 98° and one of the angles has a measure of 42°:

42° + x = 98°

x = 98° - 42°

x = 56°

The missing angle x has a measure of 56°.

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calls to the help line of a large computer distributor follow a poisson distribution with a mean of 23 calls per minute. (a) what is the mean time until the one-hundredth call? minutes (round your answer to 2 decimal places.) (b) what is the mean time between call numbers 50 and 80? minutes (round your answer to 2 decimal places.) (c) what is the probability that three or more calls occur withing 15 seconds? (round your answer to 3 decimal places.)

Answers

Therefore , the mean time until the one-hundredth call is 4.35 ,the mean time between call numbers 50 and 80 is 1.30 and s the probability that three or more calls occur withing 15 seconds is 0.754

What is  poisson distribution?

The Poisson distribution, used in probability theory and statistics, is a discrete probability distribution that expresses the likelihood that a specific number of events will take place within a predetermined window of time or space, provided that they do so at a known constant mean rate and regardless of the interval since the last event.

Here,

Thus, calls occur according to a poisson process with λ=23 calls per minute

a)X is the time until the one-hundredth call , X has Erlang distribution with rate of 23 and r =100

E(X)=r/ λ = 100/23 =4.35

b)The expected time between call numbers 50 and 80 is the same as the expected time until the 30th call this is Erlang distribution with rate of 23 and r =30

E(X)=r/ λ =30/23=1.30

c)P(N≥3)  λ=23, x=1/4  ,λx=5

1-P(N≤2) = 1- ∑  [tex]\frac{e^{-5}-5^{k}}{k!}[/tex](from k=0 to 2 )=0.754

Therefore , the mean time until the one-hundredth call is 4.35 ,the mean time between call numbers 50 and 80 is 1.30 and s the probability that three or more calls occur withing 15 seconds is 0.754

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A toy store received a shipment of stuffed animals. The store
displayed 2/5 of the stuffed animals at the back of the store. A display with 3/8 of the animals was at the front of the store. The rest of the stuffed animals were stored in a storage area. What fraction of
the stuffed animals was stored in the storage area?

Answers

Answer:

C) 9/40

Step-by-step explanation:

1 - [tex]\frac{2}{5}[/tex] - [tex]\frac{3}{8}[/tex]     Make equivalent fractions with 40 as the denominator

[tex]\frac{2}{5}[/tex] x [tex]\frac{8}{8}[/tex] = [tex]\frac{16}{40}[/tex]   Another name for [tex]\frac{8}{8}[/tex] is one.  This is how we can make equivalent fractions.

[tex]\frac{3}{8}[/tex] x [tex]\frac{5}{5}[/tex] = [tex]\frac{15}{40}[/tex]

1 can also be written [tex]\frac{40}{40}[/tex]

[tex]\frac{40}{40}[/tex] - [tex]\frac{16}{40}[/tex] - [tex]\frac{15}{40}[/tex] = [tex]\frac{9}{40}[/tex]

(1 point) how many strings of four decimal digits (note there are 10 possible digits and a string can be of the form 0014 eth., i., can start with zeros.) (a) end with an even digit? (can repeat digits.) 5000 (b) begin with an odd digit? (can repeat digits.) 5040

Answers

(a) 10⁴ strings of four digits which end with an even digit.

(b) 10⁵ strings of four digits which begin with an odd digit.

(a)There are 10 choices ranging from 0 to 1,2...9 for the first three digits of the string that ends in an even number and four possibilities ranging from 2,4,6,8, for the last digit.

According to the product rule there are 4000 strings that terminate in an odd number or 10 × 10 × 10 × 4.

(b) Also there are 10 choices ranging from 0 to 9 for the last three digits of the string that ends in an odd or even number and 5 possibilities ranging from 1,3,5,7,9 for the first digit .

According to the product rule there are 5000 strings that terminates in an even number or 10 × 10 × 10 × 5.

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6. In July, the price of a gallon of gasoline rose 12%. In August it fell 15% of its final July price, ending
the month at $1.19. What was its price at the beginning of July?

Answers

According to the question,

Given data in the question,

In July, the price of a gallon of gasoline rose=12%

In august, it fell 15% of its final July price,

Ending the month at 1.19 rupees

Let us consider,

x is the original price at the beginning of July,

then the price of gasoline rose is 112%

=100+2

=112%

=112/100

=1.12

In august it fells 15%=100-15%

=.85%

With the help of given data

the original price is---- x

(1.12) × (.85) x = 2.29

find the value of x

x = 2.29/0.952

x=2.41

x=2.41 was its price at the beginning of July.

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a random variable from an experiment where outcomes are normally distributed a. can have any value between -infinity and infinity. b. can have only a few discrete values c. can have positive values d. can have no values

Answers

a random variable can have any value that is possible within the range of -infinity and infinity.So a. can have any value between -infinity and infinity.

A random variable from an experiment with outcomes that are normally distributed can take on any value between -infinity and infinity. This means that it can take on any real number, including fractions and decimals. It is not limited to only a few discrete values, nor does it have to be positive.

A random variable from an experiment with outcomes that are normally distributed can take on any real value between -infinity and infinity. This means that the variable is not limited to a few discrete values, nor does it have to be positive. Instead, it can have any value, no matter how small or large, and including fractions and decimals. Such a random variable can have any value that is possible within the range of -infinity and infinity.

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DOUBLE POINTS!!! Please help!

Answers

answer

x=-10

x=0

Step-by-step explanation:

x(x+10) =0

apply zero product property

sorry if this is a straight forward answer

Answer:

The first solution is -10 and the second solution is 0

Step-by-step explanation:

The question is x * (x+10) = 0

When the product of factors equals 0, at least one factor is 0:

x = 0

x+10 = 0 which can be simplified to x = -10 by subtracting 10 from both sides. Thus, the two solutions to x * (x+10) = 0 is -10 and 0.

A commuter travels to work using a city bus. The function f(t)=−600t+12,000 represents the distance remaining, in meters, after t minutes of riding the bus.

What does −600 represent in the function f(t)?

Responses

the slope of the function and the change in distance remaining, in meters per minute, of riding the bus

the slope of the function and the change in distance remaining, in meters per minute, of riding the bus

the slope of the function and the initial number of meters remaining when t=0

the slope of the function and the initial number of meters remaining when t = 0

the y-intercept of the function and the change in distance remaining, in meters per minute, of riding the bus

the y -intercept of the function and the change in distance remaining, in meters per minute, of riding the bus

the y-intercept of the function and the initial number of meters remaining when t=0

the y -intercept of the function and the initial number of meters remaining when t = 0

Answers

The interpretation of -600 is (a) the slope of the function and the change in distance remaining, in meters per minute, of riding the bus

How to interpret -600 in the equation?

From the question, we have the following parameters that can be used in our computation:

f(t) = -600t + 12000

A linear equation is represented as

y = mx + c

Where

Slope = m

When the equations are compared, we have

m = -600

This means that

Slope = -600

So, the interpretation of -600 is the slope

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In a group of 150 people, 120 like to play volleyball, 85 like to play football and 25 like none of the games : (1) Show the above information in a Venn-diagram. (2)How many people like to play both the games?​

Answers

120 is the answer brainliest

a survey was taken of a random sampling of residents of new york city and los angeles to compare how many of them own a car. a 4-column table with 3 rows. the first column has no label with entries l a residents, n y c residents, total. the second column is labeled own a car with entries 3,251; 1,478, 4,729. the third column is labeled do not own a car with entries 869; 6,182; 7,051. the fourth column is labeled total with entries 4,120; 7,660; 11,780. which statement about the two-way frequency table is true?

Answers

The true statement is;

There is a greater percentage of Los Angeles residents who own a car than New York City residents who do

Given,

Following is the presentation of the values:

The number of residents in Los Angeles own a car = 3251

The number of residents in New York City  own a car = 1478

Total residents who own a car = 4729

Los Angeles  residents who do not own a car = 869

New York City residents who do not own a car = 6182

Total residents who do not own a car = 7051

Total Los Angeles residents sampled = 4120

Total New York City residents sampled = 7660

Total residents of both cities sampled = 11780

Here,

Percentage of Los Angeles residents who own a car = (3251/4120)×100 = 78.9%

Percentage of New York City residents who own a car = (1478/7660)×100 = 19.3%

Then,

The total number of people in the poll who own a car = 4729

Therefore,

The correct option is that there is a greater percentage of Los Angeles residents who own a car than New York City residents who do.

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Answer: B

Step-by-step explanation:

I don't understand how to figure out the product:

Write 91 as the product of prime factors in ascending order

Then, work out the HCF of 91 and 130

Answers

91 as a product of its prime factors will be 7 and 13.

The highest common factor of 91 and 130 is 13.

How to calculate the factor?

The process of factorization simony has to do with the division of arithmetic algebraic expressions into the sum of their factors. in this case, multiplying the variables will yield the original expression. It means the writing of a number into smaller or simpler numbers that give the original number.

The factor of 91 include 1, 7, 13 and 91

The factor of 130 include 1, 2, 5, 10, 13 65, and 130.

The highest factor is 13.

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Write the equation of the line perpendicular to y=-3x-1 that passes through the point (3,4)

Answers

The equation of the line perpendicular to y=-3x-1 that passes through the point (3,4) is y = (1/3)x + 3.

What do you mean by equation of line?

The slope of the line and a point on the line can be used to create the equation of a line. The slope of the line, which can be stated as a numeric integer, fraction, or the tangent of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis.

The slope of the line given in the question is: -3,

The slope of perpendicular line is negative reciprocal of the slope of other line,

So,

The slope of perpendicular line is: 1/3.

The equation of the line is generally in the form:

y = mx + c

So, the equation of line becomes:

y = (1/3)x + c

We have given that the line passes through the point (3,4).

Putting the values of x and y in the above equation to get the value of c.

4 = (1/3)(3) + c

c = 3

Putting the value of c in the equation,

y = (1/3)x + 3

This is the required equation.

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Answer:

(-3,-4) and (3,4).

Step-by-step explanation:

Solve using substitution x=-3 -4x-y=10

Answers

x= -3 -4x-y=10
-4(-3)-y=10
12-y=10
-y=-2
Divide both sides by negative 1 to get Y = 2

Angle 9 and angle 10 are corresponding angles formed by two parallel lines cut by transversal. The angles are also complimentary. Find angle 9

Answers

The measure of angle 9 is 45 degrees.

What is complementary angles?

Complementary angles are those whose combined angle is exactly 90 degrees. 30 degrees and 60 degrees, for instance, are complementary angles.

Given:

Angle 9 and angle 10 are corresponding angles formed by two parallel lines cut by transversal.

The angles are also complimentary.

We have to find the measure of angle 9.

If <9 and <10 are corresponding, it means they are equal i.e <9 = <10

Since <9 and <10 are also complementary angles, their sum will be 90 degrees

<9+<10 = 90

<9 + <9 = 90

2m<9 = 90

m<2 = 90/2

m<2 = 45 degrees

Hence the measure of angle 9 is 45 degrees.

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a group of veterinarians at a major veterinary hospital was interested in investigating a possible link between enteroliths, stones that form in the colon of horses, and diet. they decided to conduct a survey of feeding practices of horses in the hospital's state. they created a survey questionnaire and decided to administer it to the owners of every fifth horse being treated at the hospital. the sample is a:

Answers

Fron the given question, we can say that systematic sample because not all sample are possible.

What is Systematic sampling?

Using the probabilistic sampling technique known as systematic sampling, researchers periodically choose individuals from a community. Choose each 15th of her, for instance, from the population list. You can simulate the advantages of straightforward random sampling by randomly sorting the population.

[tex]Since every 100th horse is selected in the sample. Thus, Systematic Sampling is used.[/tex]

Further,

Sampling method is said to be Simple Random Sampling if unit from the population are picked randomly without any criteria, so that each unit as similar chance of selection.

If any criteria are used to select every sample, such as selecting every fourth unit, the sampling technique is said to be systematic sampling.

If the population is divided into various groups that share the same characteristic, the sampling method is said to be stratified sampling. Additionally, units are chosen at random from these groups.

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Solve the following system of equations graphically on the set of axes below. y=-3x - 6 x - 4y = -28​

Answers

The solution to the given system of equations is;

x = -4 and y = 6

How to solve a set of equations graphically?

We are given the simultaneous equations as;

y = -3x - 6   ------(1)

x - 4y = -28   ------(2)

For eq 1, we can get the coordinates as;

When x = -2, y = -3(-2) - 6 = 0

When x = -1, y = -3(-1) - 6 = -3

When x = 0, y = -3(0) - 6 = -6

When x = 1, y = -3(1) - 6 = -9

When x = 2, y = -3(2) - 6 = -12

For eq 2, we have;

When x = -2, y = (-2 + 28)/4 = 26/4

When x = -1, y = (-1 + 28)/4 = 27/4

When x = 0, y = (0 + 28)/4 = 7

When x = 1, y = (1 + 28)/4 = 29/4

When x = 2, y = (2 + 28)/4 = 7.5

From the graph attached, the solution is (-4, 6)

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Determine the x and y intercept:
X -3 -2 -1 0 1
y 0 2 4 6 8

Answers

8 probably cuz 1 times 8 is 8?

If triangle DOG is similar to triangle CAT then find the measure of each of the following:
m m

Answers

Therefore, the above sides  and angles will be the corresponding angles and sides of a similar triangle.

What is congruence?

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides and all three of their corresponding angles have the same measurements. These triangles can be moved around, rotated, flipped, and turned to have an identical appearance.

Here,

In the event that "CAT"

As per SSS guideline, we receive

CA=DO

AT=OG

CT=DG

The congruent triangles' corresponding angles will also be:

∠CAT = ∠DOG

∠ATC = ∠OGD

∠ACT = ∠ODG

Two triangles are similar if they are congruent with one another.

if ∆CAT≅∆DOG

Next,∆CAT~∆DOG

As a result, the angles and sides of the triangle with the same sides as those above will be the same.

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What is static electricity?

Build up of electrical charges on the surface of an object

Build up of light energy that causes electrical charges to move

The flow of electrical charges in a conductor

The movement of electrical charges through an insulator

Answers

Static electricity is an imbalance of electric charges within or on the surface of a material.

What is a charge? What is current?Electric charge is the physical property of matter that causes charged matter to experience a force when placed in an electromagnetic field.Electric charge can be positive or negative. Like charges repel  each other and unlike charges attract each otherRate of flow of charge per unit time is called current.

We have static electricity.

Static electricity is an imbalance of electric charges within or on the surface of a material or between materials. The charge remains until it is able to move away by means of an electric current or electrical discharge.

Therefore, Static electricity is an imbalance of electric charges within or on the surface of a material.

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if the radius is 40 what is the circumference

Answers

Answer:

Step-by-step explanation:

Evaluate 9.1p + 8.9r when p = 6 and r =7.

Answers

Answer:

116.9

Step-by-step explanation:

9.1(6) + 8.9(7)

54.6+62.3

116.9

Please Help! Three times the quantity of a number increased by 7 is equal to the same number decreased by 15

Answers

The value of the number will be;

⇒ x = - 11

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

''Three times the quantity of a number increased by 7 is equal to the same number decreased by 15''

Now,

Let the quantity of a number = x

So, We can formulate;

⇒ 3x + 7 = x - 15

Solve for x as;

⇒ 3x - x = - 15 - 7

⇒ 2x = - 22

⇒ x = - 11

Thus, The value of the number will be;

⇒ x = - 11

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Other Questions
why does Benjamin Martin give the men in hi militia leave In December 2018, Carl Corporation sold land it held as an investment. The corporation received $50,000 in 2018 and a note payable (with adequate interest) for $150,000 to be paid in 2020. Carl Corporation's cost of the land was $80,000. The corporation has a $90,000 net capital loss carryover that will expire in 2018.Complete the statement below as to whether Carl Corporation should report the sale in 2018 or use the installment method to report the income as payments are received.Carl Corporation should (elect to forgo the use of/ use) the installment method since the gain of $ __________ (can/ can not) be used to offset the net capital loss carryover. After the claim, what belongs in the introduction? Select the two correct answers (1 point) the source author's name the hook the opinionbackground don, an accountant, has had many inputs related to his position as an accountant over the years. one of his inputs is Explain frost, fog, snow, and rain in the water cycle and the impact Global Warming could have on the water cycle One advantage of public transportation is people dont get stressed driving. They can relax, read a book and work on a crossword puzzle. It also affords commuters the opportunity to meet new people and interact.Is the paragraph above good?If not please show me a proper way to write the paragraph above by using two examples because my instructor said that, also use proper punctuation and grammar?Please don't say hhhh because some random person didn't respond to my question properly. a car accelerates uniformly from rest to 25 m/s over a distance of 30 meters. what is the acceleration of the car? What is a unit of energy and not necessarily a bad thing?a. carbohydrateb. caloriec. minerald. fat How do the people in your text adapt to their situation in order tosurvive for deep survival story deaf people who use sign language typically The immigration issue has been a complex one for parties and politicians, partially because immigrants are a critical part of the state economy in the following ways.Correct Answer(s)Immigrants spend on goods and services.Immigrants own businesses.Immigrants make up more than one-fifth of the state workforce.Immigrants make up large portions of important labor sectors.Immigrants are an important source of tax revenue.Incorrect Answer(s)Immigrants take American jobs.Immigrants significantly drain state tax dollars. heather runs a successful lawn-mowing business. she would like to estimate the true mean amount of time it takes for her employees to mow a lawn. to do so, she selects a random sample of 30 customers and records the time it takes the employees to mow their lawns. the 90% confidence interval for the true mean time it takes her employees to mow a lawn is 40 to 55 minutes. which of these statements is a correct interpretation of the confidence level? approximately 90% of the customers have lawns that take between 40 and 55 minutes to mow. there is a 90% probability that the true mean time it takes for her employees to mow a lawn is between 40 and 55 minutes. if many random samples of size 30 are selected from the population of all customers, approximately 90% of the sample mean times for her employees to mow the lawns will be between 40 and 55 minutes. if many random samples of size 30 are selected from the population of all customers, approximately 90% of the constructed intervals would capture the true mean time it takes for her employees to mow a lawn. When a stock dividend is declared, which of the following accounts is credited?A) Common StockB) Dividend PayableC) Stock Dividends DistributableD) Retained Earnings What are the factors of stability that make up political risk unit of measure? I. Strengths against shocks II. Shock absorbers III. Shocks themselvesA. I only B. II only C. III onlyD. I and IIE. II and IIIF. I and IIIG. I, II, and III Mei Mei spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -10.2F. Between 9am and noon, the temperature rose 1.9F. Between noon and 3pm, the temperature dropped 16.4F. Between 3pm and 6pm, the temperature dropped 15.5F. What was the temperature at 6pm? Divide whole numbers and decimals involves a repetitive process of estimating a quotient, multiplying and subtracting.At each step multiply the divisor with the largest possible number, subtract it from the original number to get the remainder and bring one extra digit down, repeat the process till a remainder is obtained and no digits could be brought down. Which statement(s) is/are TRUE for all chemical reactions?SELECT ALL THAT APPLY a.Reactant elements and/or compounds rearrange to form chemically new products. b Energy is absorbed when bonds are broken There is an overall energy release during all C. Energy is released when bonds are formed. The company Larry works for charges $10 for each service call, plus an additional $5 for each hour spent on the call Larry created the graph below to model this relationship Service Call Charges. Which statement about the graph and charges is true? A. The graph that Larry created is a correct representation of his company's charges. B. The rate of change on Larry's graph is correct, but the y-intercept is incorrect C. The rate of change on Larry's graph is less than the rate his company charges. D. The rate of change on Larry's graph is greater than the rate his company charges. Gobblecakes is a bakery that specializes in cupcakes. The annual fixed cost to make cupcakes is $10,000. The variable cost including ingredients and labor to make a cupcake is $0.80. The bakery sells cupcakes for $2.40 apiece.(a) If the bakery sells 10,000 cupcakes annually, determine the total cost, total revenue, and profit.(b) How many cupcakes per year will the bakery need to sell in order to break even?(c) How many cupcakes will the bakery need to annually sell in order to make a profit of $4,000?(d) If the maximum capacity of making cupcakes per day is 50, how many days will the bakery take to make a profit of $4,000? U.S. drivers are ranked as the least sensitive to changes in the price of gasoline. For example, if the price rose from $3 to $4 per gallon and stayed there for a year U.S. purchases of gasoline would fall only about 5 percent.Source: Slate, September 27, 2005Calculate the price elasticity of demand for gasoline.Does this measurement indicate that the demand for gasoline is elastic, unit elastic, or inelastic?The price elasticity of demand for gasoline is .