After forming two right triangles, which right triangle theorem did you have to use twice to solve for side lengths that were not in the final equation? the tangent theorem the pythagorean theorem the right triangle theorem the cosine theorem.

Answers

Answer 1

Answer:

b

Step-by-step explanation:

no

Answer 2

Answer:

The answer is B. the Pythagorean theorem

Step-by-step explanation:

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Related Questions

a manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 402402 gram setting. is there sufficient evidence at the 0.020.02 level that the bags are overfilled? assume the population is normally distributed. state the null and alternative hypotheses for the above scenario.

Answers

Yes there is sufficient evidence that  the alternative hypothesis is;

bag filling machine works incorrectly at the 402 gram setting which is;

H_o ; μ ≠ 402

Null hypothesis; H_o ; μ = 402

Alternative hypothesis; H_o ; μ ≠ 402

The null hypothesis states that there is no difference in the test which is denoted by H_o. However, the sign of null hypothesis is denoted by the signs of = or ≥ or ≤.

Meanwhile, the alternative hypothesis is one that defers from the null hypothesis. This therefore implies a significant difference in the test. Thus, the signs of alternative hypothesis is denoted by; < or > or ≠.

Now, the question we have is a two tailed test. Thus;

The null hypothesis is;

bag filling machine works correctly at the 402 gram setting which is;

H_o ; μ = 402

The alternative hypothesis is;

bag filling machine works incorrectly at the 402 gram setting which is;

H_o ; μ ≠ 402

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The monthly rents (in dollars) paid by 9 people are given below. (Note that these are already ordered from least to greatest.)
910, 930, 965, 980, 1000, 1040, 1115, 1165, 1210
Suppose that one of the people moves. Her rent changes from $1210 to $1480.
Answer the following.
What happens to the mean=____ it decreases by __$
____ it increases by __$
____ it stays the same

What happens to the median=____ it decreases by __$
____ it increases by __$
____ it stays the same

Answers

The mean of the distribution increases by 30.The median of the distribution stays the same.

What is the mean of a data-set?

The mean of a data-set is given by the sum of the values of all observations in the data-set divided by the number of elements in the data-set.

In this problem, the data-set is given as follows:

910, 930, 965, 980, 1000, 1040, 1115, 1165, 1210.

Hence the mean is of:

M = (910 + 930 + 965 + 980 + 1000 + 1040 + 1115 + 1165 + 1210)/9 = 1035.

After the change, the data-set is of:

910, 930, 965, 980, 1000, 1040, 1115, 1165, 1480.

Hence the mean will be of:

M = (910 + 930 + 965 + 980 + 1000 + 1040 + 1115 + 1165 + 1480)/9 = 1065.

Then the increase will be of:

1065 - 1035 = 30.

What is the median of a data-set?

The median of a data-set is the middle element of the data-set, the value which:

50% of the data-set is lesser than.50% of the data-set is greater than.

The median is not affected by the values at the bounds of the distribution, such as 1210 and 1480 are in this distribution, hence it remains constant.

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a marketing class polled 270 people at a shopping center to determine how many read the daily news and how many read the weekly gazette. they found the following: 124 read the daily news. 33 read both. 19 read neither. How many read the Weekly Gazette?

Answers

128 were Daily News readers. 19 read neither while 35 read both. Weekly Gazette A marketing class conducted a survey of 270 shoppers at a mall to find out how many of them read the Weekly Gazette and how many the Daily News.

What is News readers?

150 attendees were surveyed by a marketing class to find out how many read the Weekly Journal and how many the National News. In this section, word problems will be solved using Venn diagrams. The areas of a Venn diagram that indicate quantities as opposed to will have numbers in them. Confidence interval for difference of two formula You may have read statements like the ones below in newspapers, for instance. law in numerous nations.

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help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeehelp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeehelp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Step-by-step explanation:

b.) 8/7≈ 1.1

Final.) and then using the exponential decay formula, 18.1 will be left after

What error did the student make? in line 2, the student forgot to multiply the right side of the equation by 2. in line 3, the student should have subtracted the equations instead of adding them. in line 3, the student added the two equations incorrectly. in line 5, the student used an incorrect equation when solving for x.

Answers

Answer: the student forgot to multiple by right side of equation 2 in line 2

Step-by-step explanation: your welcome :)

Let the random variable b represent the number of books a student buys at the next book fair. What is the expected value of b ?.

Answers

The expected value of the random variable b is given as follows:

2.404 books.

How to obtain the expected value of a discrete probability distribution?

The expected value of a discrete probability distribution is given by the sum of each outcome of the distribution multiplied by it's respective probability.

From the histogram given by the image at the end of the answer, the distribution is given as follows:

P(X = 1) = 0.285.P(X = 2) = 0.333.P(X = 3) = 0.168.P(X = 4) = 0.136.P(X = 5) = 0.063.P(X = 6) = 0.015.

Then the expected value of the random variable b is obtained as follows:

E(X) = 1 x 0.285 + 2 x 0.333 + 3 x 0.168 + 4 x 0.136 + 5 x 0.063 + 6 x 0.015 = 2.404 books.

Missing Information

The histogram is given by the image at the end of the answer.

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Why are factorial designs useful in testing theories?
a. They allow researchers to explore the construct validity of a theory.
b. Results from factorial designs are typically straightforward and easy to interpret.
c. They allow researchers to understand the nuances of how variables interact.
d. Results from factorial designs are always intuitive.

Answers

Factorial design are useful in testing theories because they enable researchers to investigate a theory's construct validity. so the correct answer  is option  (a).

What is factorial designs?

A key technique for identifying the impact of numerous variables on a response is the factorial design. Traditionally, experiments are planned to ascertain how one variable affects just one response.

What is testing theories?

The corpus of knowledge supporting the analysis and application of test results. The definition and measurement of reliability are of primary relevance. Classical test theory, generalizability theory, and item response theory are examples of theoretical frameworks.

a) They enable academics to investigate a theory's construct validity.

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The length of a rectangle i 4 inche more than it width. The area of the rectangle i equal to 4 inche le than 2 time the perimeter. Find l and w

Answers

12 inches in length and 3 inches in width when a rectangle's length is 4 inches longer than its width.

Given that,

A rectangle's length is 4 inches longer than its width. The area of rectangle is equal to 4 inches less than 2 times the perimeter of rectangle.

We have to find what is the length and width of rectangle.

We know that,

Let take length as l and width as w.

l=4w

Area of rectangle is l×w

Perimeter of rectangle is 2(l+w)

So,

l×w=2(2(l+w))-4

l×w=4(l+w)-4

Take l as 4w

4w×w=4(4w+w)-4

4w²=4(5w)-4

4w²=20w-4

4w²-20w+4=0

w²-5w+1=0

w=3

So,

l=4w

l=12

Therefore, 12 inches in length and 3 inches in width when a rectangle's length is 4 inches longer than its width.

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the increasing annual cost (including tuition, room, board, books and fees) to attend college ) to attend college has been widely discussed in many publications including money magazine. the following random samples show the annual cost of attending private and public colleges. data are in thousands of dollars. click on the datafile logo to reference the data. round degrees of freedom to the preceding whole number. private colleges 52.8 43.2 45.0 33.3 44.0 30.6 45.8 37.8 50.5 42.0 public colleges 20.3 22.0 28.2 15.6 24.1 28.5 22.8 25.8 18.5 25.6 14.4 21.8 a. compute the sample mean and sample standard deviation for private and public colleges. round your answers to two decimal places.

Answers

For private colleges:

The sample mean for a private college is 42.70 and the sample standard deviation is = 6.72.

For public colleges:

The sample mean for a private college is 22.30 and the sample standard deviation is = 4.53.

What is a standard deviation?

The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values are close to the set's mean, whereas a high standard deviation indicates that the values are spread out over a larger range.

For Private:

sample mean=42.70

sample standard deviation =6.72

For Public:

sample mean=22.30

sample standard deviation =4.53

Hence,

For private colleges:

The sample mean for a private college is 42.70 and the sample standard deviation is = 6.72.

For public colleges:

The sample mean for a private college is 22.30 and the sample standard deviation is = 4.53.

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Determine if the table how a proportional relationhip. X 25. 6 72. 8 77. 2 y 6. 4 18. 2 19. 3 Ye, it i proportional becaue all y over x ratio are equivalent to one fourth. Ye, it i proportional becaue all y over x ratio are equivalent to one third. No, it i not proportional becaue 25. 6 over 6. 4 doe not equal 18. 2 over 72. 8. No, it i not proportional becaue 18. 2 over 72. 8 doe not equal 77. 2 over 19. 3

Answers

Proportional relationship for the given table is true and is define as

Yes, it is proportional because all y over x ratio are equivalent to one fourth.

As given in the question,

Value of x and y in the given table are :

x :  25. 6,  72. 8,  77. 2

y : 6. 4, 18. 2, 19. 3

To check the proportional relationship there should exist constant of proportionality that ratio of corresponding y/x should be constant.

y / x for all the values of x and y:

First values:

y /x = 6.4 / 25.6

      = 0.25

Second values:

y/x = 18.2/ 72.8

    = 0.25

Third values :

y /x = 19.3/ 77.2

      = 0.25

0.25 is equivalent to One fourth ( 1/4).

Constant of proportionality exist = 0.25 or One fourth.

Therefore, in the table first option: yes, it is proportional because all y over x ratio are equivalent to one fourth is correct.

The complete question is:

Determine if the table how a proportional relationship.

x :  25. 6,  72. 8,  77. 2

y : 6. 4, 18. 2, 19. 3

Yes, it is proportional because all y over x ratio are equivalent to one fourth.

Yes, it is proportional because all y over x ratio are equivalent to one third.

No, it is not proportional because 25. 6 over 6. 4 doe not equal 18. 2 over 72. 8.

No, it is not proportional because 18. 2 over 72. 8 doe not equal 77. 2 over 19. 3

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if the points below represent a direct variatin find the missing value (2, -6) and (5, y)

Answers

The missing value if the point is a direct variation is -15

How to determine the missing value?

From the question, we have the following ordered pairs

(2, -6) and (5, y)

These ordered pairs are direct variation

A direct variation is represented as

k = y/x

This means that

y/5 = -6/2

Evaluate the quotient

y/5 = -3

Multiply both sides by 5

y = -15

Hence, the value of y is -15

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Find the olution to the following lhcc recurrence:
an=−6aₙ₋₁−5aₙ₋₂ for n≥3 with initial condition a0=28,a1=−76

Answers

aₙ = 6aₙ₋₁ - 5aₙ₋₂ then the values for n≤3, then a₀ = 28; a₁ = -76 ; a₂ = -596 ; a₃ = -3196. The Sequence is 28, -76, -596, -3196.

How can the sequence's solution be found?

a = 2 and d = 3 decide the order. Using the method for locating the nth term, we can locate a particular term in an arithmetic series. Step 1: An arithmetic sequence's nth term is determined by the formula an = a + (n - 1)d. Therefore, enter the values a = 2 and d = 3 into the formula to find the nth term.

Given:

a₁ = -76 ; a₀ = 28

aₙ = 6aₙ₋₁ - 5aₙ₋₂

Then the arithmetic sequence is followed by:

a₂= 6a₂₋₁ - 5a₂₋₂

= 6a₁ - 5a₀

= 6(-76) - 5 (28)

= -456 - 140

a₂ = -596

a₃ = 6a₃₋₁ - 5a₃₋₂

= 6a₂ - 5a₁

= 6(-596) - 5(-76)

= - 3576 + 380

a₃ = -3196

The values for n≤3, then a₀ = 28; a₁ = -76 ; a₂ = -596 ; a₃ = -3196. The Sequence is 28, -76, -596, -3196.

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Which value of x satisfies the equation
5/6 (3/8 - x) = 16
1) -19.575
2) -18.825
3) -16.3125
4) -15.6875

Answers

Answer:

(2) -18.825

Step-by-step explanation:

follow the law of BODMAS

First open the brackets to get;

5/16 - 5/6x = 16

Then collect liie terms;

5/6x = 5/16 - 16

5/6x = -251/16

x = -18.825

5/6 (3/8-x) =16
5/16 - 5/6x =16
15 - 40x = 768
-40x = 768-15
-40x = 753

Answer
x = -18.825

help for 50 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The slope of the line given the information in the table is 1.

What is the slope?

The slope is found in linear functions. The slope measures the rate of change of the dependent variable with respect to the independent variable. In this question, the independent variable is x and the dependent variable is y.

Slope = change in the value of y / change in the value of x

Slope = (0 - - 1) / (1 - 0) = 1

Slope =  (1 - 0) / (2 - 1) = 1

Slope = (2 -1 ) / (3 - 2) = 1

Based on the value of the slope, it means that for every one percent change in the value of x, the value of y changes by 1%.

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Answer:

Step-by-step explanation:

look at the x and axis and the irrational fractions and you should find your slope

the cargo plane delivering the relief supplies must be at another location after dropping off the supplies at your site. this requires the unloading tasks to be completed in 70 minutes. the current process is taking 2 people to complete all tasks in 86 minutes

Answers

Total number of people required is 3 to complete it in 57.33 days.

What is indirect proportion ?

Basically in this proportion, two quantities generally follow the opposite trend of each other like if one is increasing other one is decreasing.

As an example, if the time  takes to run 10 m is inversely proportional to the speed you can run at - if you double your given speed, it takes you half as much long.

Initially,

Total People = 2

Total time taken = 86 minutes

Total time we have= 70 minutes

As people and time are inversely proportional to each other.

[tex]\frac{2}{3}[/tex] = [tex]\frac{x}{86}[/tex]

x = (86 × 2) / 3

x= 57.33

Hence, total number of people required is 3 to complete it in 57.33 days.

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solve for x: x/7 < or equal to -6

Answers

Step-by-step explanation:

 x    

 — -  6  = 0

 7    

Subtracting a whole from a fraction

Rewrite the whole as a fraction using  7  as the denominator :

        6          6 • 7

   6 =  —  =  —————

        1               7  

x - (6 • 7)                                x - 42

———————————  =  ——————

     7                                         7  

x - 42

 ——————  = 0

   7  

x-42

 ———— • 7 = 0 • 7

  7  

x-42  = 0

x = 42 Answer

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if i have a b and then i get a 72% on a test that is 30% of my grade, what will my grade be?

Answers

Answer:

if you have about an 85 now than you shouldn’t go below a b

Step-by-step explanation:

Elephants sometimes damage trees in Africa. It turns out that elephants dislike bees. They recognize beehives and avoid them. Can this information be used to keep elephants away from trees? Will elephant damage be less in trees with hives? Will empty hives even keep elephants away? Researchers want to design an experiment to answer these questions using 72 acacia trees. Identify the experimental units, treatments, and the response variable.

Answers

a) The experimental units are the Acacia Trees.

b) The treatments carried used are; active beehives, empty beehives and no single beehive.

c) The response variable is the damage that the elephants caused to the trees.

How to interpret experimental research design?

Experimental design is defined as the process of carrying out research in a manner that is objective and controlled such that precision is maximized and then specific conclusions can possibly be drawn regarding a hypothesis statement. Generally, the purpose of this is to establish the effect that a factor or independent variable has on a dependent variable.

From this question, it is very clear that the experimental units are the Acacia Trees. This is because they are the primary interest or objective of the research.

The treatments carried out here are the active beehives, empty beehives and no single beehive.

The response variable is defined as the result of the experiment where the explanatory variable is manipulated. In this case, the response variable is the damage that the elephants caused to the trees.

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The diameter of a dime is 17.91 mm. The diameter of a strand of human hair is
6.0 x 10-2 mm. How many times greater is the diameter of a dime than the diameter of
the strand of human hair?

Answers

The diameter of a dime tells us the circumference of a dime is approximately 299 times larger than human hair.

What is Diameter

The diameter of an object is used to calculated the circumference or area of the object. This also helps us to know the width of a circular object.

In this problem, the diameter tells us about the length of the each quantity.

The diameter of a dime tells us how wide the coin is and the diameter if a hair tells us the width of the hair.

Comparing both values

Dime = 17.91mm

Hair = 6.0*10^-2

Divide both quantity together.

17.91 / 6.0*10^-2 = 298.5≅299

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Given n sets a₁, a₂. Aₙ. The inclusion-exclusion principle states that the cardinatlity of a₁∪ a₂∪. ∪aₙ is the sum of the individual cardinalities minus the sum of the cardinalities of intersections of any two sets plus the sum of the cardinalities of intersections of any three sets minus the sum of the cardinalities of intersections of any four sets and so on. This alternating sum ends with the cardinality of the intersection of all n sets. How many terms are there in this formula that are intersections of 3 sets?.

Answers

There are total of 7 terms in the formula of intersection of 3 sets.

What is intersection?In set theory, the intersection of two sets A and B, denoted  {A,B}, is the set containing all the elements of A that also belong to B, or  all the elements  that also belong to B.A cut operation is represented by the symbol ∩.The set A ∩ B - pronounced "intersection B" or "intersection of A and B" - is defined as the set consisting of all elements that belong to both A and B.A controlled intersection has signs, signals, and lane markings that tell drivers and others what to do.The most common controlled intersections are stop sign controlled intersections.Stop signs and traffic lights are also used depending on the flow of traffic passing through that particular intersection.

The formula of the given sets is,
n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(C∩A) + n(A∩B∩C).

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H(d) models the basketball's height (in meters) at a horizontal distance of dd meters from Kaori. What does the statement H(R)=4H(R)=4 mean

Answers

The statement H(R)=4H means the height of ball is 4H meter at a horizontal distance of R meters from Kaori.

It is given that Kaori is taking a free-throw. H(d) models the basketball's height (in meters) at a horizontal distance of d meters from Kaori.

The given statement is H(R) = 4H.

Here we have H(R) instead of H(d) and it shows the height of basketball. So it clear that the height of basketball's is 4H because H(R)=4H at d = R

Since d represents the horizontal distance from Kaori, therefore the horizontal distance from Kaori is R.

Thus, Answer: The statement H(R)=4H means the height of ball is 4H meter at a horizontal distance of R meters from Kaori.

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f(x) =
2/9x2+18x-216

Answers

Answer:

Domain: all real numbers

Step-by-step explanation:

The function is:

[tex] f(x) = \dfrac{2}{9}x^2 + 18x - 216 [/tex]

The domain of a function is the set of values of the x-coordinates of the points of the function.

In this function, there is no restriction on x, so the domain is all real numbers.

prove: if the bisector of an exterior angle of a triangle is parallel to a side of the triangle, the triangle is isosceles

Answers

The proof that if bisector of an exterior angle of a triangle is parallel to a side of triangle, triangle is isosceles is shown below .

In the question ,

it is given that ,

the angle bisector of the exterior angle of a triangle is parallel to a side .

we have to prove that the triangle will be an isosceles triangle .

In the triangle ABC given below , AB is extended to AD ,

SO , the exterior angle will be angle DAC ,

let AE be the bisector of the the angle .

So , the equal angles are angle DAC and angle EAC .

it is given that AE is parallel to BC , where BC is base .

we know that ,

if any line intersects two parallel lines then every pairs of alternative  Interior angles are same and also their corresponding angles are equal .

Here AE is parallel to BC and line BD intersects them ,

So , angle ABC = angle DAE    ( corresponding angles )

angle ACB = angle EAC   ( alternate angles )

Now , as AE is the bisector of angle DAC ,

we have , angle DAC = angle EAC

So , we get , angle ABC = angle ACB .

In triangle triangle ABC two angles are equal so , the sides opposite to angles to angles will also be equal

that means , AB=AC

Hence , the given Triangle is an isosceles triangle .

Therefore , it is proved that the triangle ABC is an isosceles triangle .

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In an AOL survey of Internet​ users, this question was posted​ online: "Have you ever been hit by a computer​ virus?" Among the​ 170,063 responses,​ 63% answered​ "yes."

The population will be _______.

Question 11 options:

170,063 responses.


all internet users.


63% answered "yes."


an AOL survey.

Answers

The population based on the information will be B. all internet users.

What is a population?

In statistics, a population is a group of similar items or events that are relevant to a particular question or experiment. A statistical population can be a group of existing objects or a hypothetical and potentially infinite group of objects conceived as an experience-based generalization.

A population is any complete group that shares at least one characteristic. Populations are more than just individuals. People, animals, businesses, buildings, motor vehicles, farms, objects, or events are examples of populations.

In this case, In an AOL survey of Internet there wwe'r 170,063 responses, and 63% answered "yes. The population is the internet users.

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The King family went out to eat. They ordered three combo meals, two sodas, and one iced tea. Write an expression representing their bill. Then, determine the cost of the dinner for the entire family.

½ Pound Cheeseburger - $3.50
Grilled Chicken Sandwich - $4.00 Combo Meal (with fries) - $5.25
Soda - $2.00
Iced Tea - $2.25
Milkshake - $3.75
Brownie a La Mode $4.00

Answers

The expression for their bill will be;

B = 3c + 2s + i

While the cost for the entire family for dinner will be $22.

What is a mathematical expression?

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.

The structure of an expression is:

Expression is (Number/variable, Math Operator, Number/variable)

Types of Algebraic Expressions

Algebraic expressions are classified on the basis of the number of terms in the expression.

The various types of algebraic expressions are:

Monomial expressions contain only one term.Binomial expressions contain two unlike terms. Trinomial expressions contain only three unlike terms.Polynomial expressions have two or more terms. This includes binomials and trinomials too and all other expressions with four or more terms.

Solution:

From the question;

Let c = Combo Meal (with fries) - $5.25

s = Soda - $2.00

i = Iced Tea - $2.25

The family ordered 3 combo meals, 2 sodas and 1 iced tea

So, expressing it;

Bill = 3c + 2s + i

Substituting the prices for the meals

Bill = 3(5.25) + 2(2) + 2.25

Bill = 15.75 + 4 + 2.25

Bill = $22

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This graph shows the revenue, cost, and profit functions of a company. How can this company become profitable?

A graph shows the Price per Unit on the x-axis and dollars on the y-axis. A downward parabola revenue vertex at (25, 12,000) intercepts the origin and x-axis at (30, 0) linear function costs intercept the y axis at (0, 13,000).

A.
by increasing its production
B.
by increasing its prices
C.
by reducing its costs
D.
by reducing its prices

Answers

Based on this graph which shows the revenue, cost, and profit functions of a company, the way in which this company can become profitable is: C. by reducing its costs.

What is a profit?

In Mathematics, a profit can be defined as a measure of the amount of money that is generated when the cost price is deducted from the selling price (revenue) of a good or service, which is usually provided by producers.

Mathematically, the profit made by an entrepreneur or business organization can be calculated by using this mathematical expression:

Profit = Revenue - Cost

In this scenario, the most effective and efficient way in which this company can become profitable is simply by reducing (lowering) its costs because it is incurring more cost than the amount of revenue it generates.

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Which polygon appears to be regular?

Answers

Answer:

Figure b

Step-by-step explanation:

the sides are equal

Multiple (3x+y) by (4x+2y)

Answers

Answer:

12x² + 10xy + 2y²

Step-by-step explanation:

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

= 12x² + 6xy + 4xy + 2y²

= 12x² + 10xy + 2y²

In an arithmetic sequence the seventh term is −13, the nineteenth term is 47 and the nth term is 217.
Find the value of n.

Answers

The value of n in the sequence is ≅ 15

How to solve an Arithmetic Progression?

We should know that Arithmetic progression is a type of sequence in which the consecutive terms are gotten by the addition or subtraction of a constant term known as the common difference.

The given parameters are>

a+6d--13 ........................................  (1)

a+8d=47............................................ (2)

Subtracting equation 1 from [a+8d=47]-[a+8d=-13

⇒ 2d=60

d=30

Put d=30 in equation 1

a+6(30)=-13

a+180=-13

Collecting like terms

a=-13-180

a=-193

The nth term of an AP is given by

nth term = a+(n-1)d

where nth = 217

⇒ 217=-193+(n-1)30

Simplifying the expressing

217+223=30n

440/3=30n/30

n=14.7

Therefore n≅15

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Greg earned $45 dollars for washing cars this month. He earned twice as much for washing cars than he did for mowing lawns. Write an equation to determine how much he earned for mowing lawns.

m over 2 equals 45
2m = 45
m + 2 = 45
m − 2 = 45

Answers

The equation that expresses the above situation is m/2 = 45  

Linear Equation:

The mathematical expression which is used to find the unknown number or value is known as Linear Equation. These are combinations of algebraic terms and constant terms. Here to represent the unknown we use different types of variables.  

Here given that

Greg earned $45 dollars for washing cars this month.

He earned twice as much for washing cars than he did for moving lawns  

Let us assume that he earned 'm' amount for moving lawns and 'c' be the amount earned by washing cars

From given data

=> m = 2 c

As we know The amount earned by washing cars = 45  

=> m = 2(45)

Divide by 2 into both sides

=> m/2 = 45

Therefore,

The equation that expresses the above situation is m/2 = 45

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