How do we find the constant rate from two points?

Answers

Answer 1

Let the two points be given by:

[tex]P(x_{1},y_{1}) \\ Q(x_{2},y_{2})[/tex]

[tex]rate = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} [/tex]


Related Questions

Need an answer!! Please and thank you.

Answers

Answer: 110 degrees

Step-by-step explanation:

We know that all the angles of a triangle add to 180 degrees. Notice how there are already 60 and 50 degrees on the triangle. In order to find the last angle, we subtract 110 (60+5) from 180 to get 70.

Now, we know that the angle of a straight line is 180.

So, in order to find <BCD, take 70 and subtract it from 180.

Doing this, we find that m<BCD is 110 degrees

A batting average is the ratio of hits to at bats batting averages are expressed as a decimal rounded to the nearest thousandth show two differnt ways if finding how much grater derek jeters batting average than jorge posadas batting average express as a percent

Answers

Derek Jeter average was 4.9%greater than Jorge Posada 4.9% expressed as a percent.

To express decimal as percent we need to multiply the decimal with 100 .

The average or mean is defined as the sum divided by the frequency.

Here we have four averages given in decimal

Derek Jeter average in percentage =0.334*100=33.4%

Alex Rodriguez average in percentage=0.286*100=28.6%

Jorge posada average in percentage =0.285*100=28.5%

Hideki Matsui average in percentage=0.274*100=27.4%

From the above percentages Derek Jeter average was 4.9%greater than Jorge Posada =33.4-28.5=4.9%

Or we can say it as Derek peter percentage was 14.68% greater than Jorge Posada on a scale of 100 percentage.

Hence  Derek peter percentage was 14.68% greater than Jorge Posada on a scale of 100 percentage and  Derek Jeter average was 4.9% greater than Jorge Posada 4.9%.

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Please help is this true or false

Answers

Answer:

True

Step-by-step explanation:

The correct answer is going to be true for this question. Have a great day my dude

APR include:


the principle and the term on the loan
finance and interest charges on the loan
finance charges on the loan
the principle and the interest on the loan
Interest on the loan

Answers

APR include: Interest on the loan

What does APR mean?

The APR which means annual percentage rate, is the interest rate on the loan, it is expressed in annual terms which is normally compounded monthly, by monthly compounding I mean the interest is computed on monthly basis.

APR has does not have anything to do with the principle and term of the loan since the principle is the loan amount and the term is the number of periods that the borrower is allowed to make repayments until the loan is fully repaid

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These two triangles are similar .Find side lengths a and b .Note The two figures are not drawn to scale

Answers

3x3=9
ax3=21 so a is 7
5x3=b so its 15

Melvin ordered a cinnamon roll, 3 doughnuts, and 2 dozen doughnut holes. The sales tax was $0.72. He paid with a $20 bill. How much change should Melvin receive from a $20 bill? Responses A $9.66 B$10.34 C$11.78 D$11.06

Answers

The amount of change that Melvin would receive from a $20 bill is equal to: C. $11.78.

How to determine Melvin's change?

In order to determine the amount of change that Melvin would receive from a $20 bill, we would first of all calculate the total cost before tax.

For the cinnamon roll, we have:

Cinnamon roll's cost = $2.59.

For three (3) doughnuts, we have:

Doughnut's cost = 0.95 × 3

Doughnut's cost = $2.85.

For two (2) dozen doughnut holes, we have:

Doughnut hole's cost = 1.75 × 2

Doughnut hole's cost = $3.5.

Total cost = $2.59 + $2.85 + $3.5

Total cost = $8.94

Next, we would determine the new cost after applying sales tax:

New cost = 8.94 - 0.72

New cost = $8.22.

Now, we can determine Melvin's change:

Change = Dollar bill - New cost

Change = $20 - $8.22.

Change = $11.78.

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Answer:

4 C$11.78

Step-by-step explanation:

2+z×−1/3=3 please help

Answers

2 + z * −1/3 = 3

if that is how it is grouped, your answer is -3

Tyrone makes a scale drawing of his backyard. The scale from the backyard to the
drawing is 2 ft to 1 in. The width of the patio on the drawing is 8 in. What is the
width of Tyrone's actual patio? Show your work.

Answers

Answer:The width of the patio on the drawing is 8 in.

Step-by-step explanation:

(c) Using your knowledge and abilities show Andrew how to evaluate the expression correctly. State the
correct value.

Answers

The correct value of the expression is 9 and to evaluate correctly the multiplication of 2 and 0 that 2(0) must be written 0.

What is an expression?

An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.

The constraint of expression is represented as = or <, >.

Given the expression,

x² - 2(x - 3) when x = 3

⇒ x² - 2(x - 3)

⇒ 3² - 2(3 - 3)

⇒ 3² - 2(0)

⇒ 9 - 0

⇒ 9.

Hence "The correct value of the expression is 9".

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The given question is an incomplete complete question shown below in the image ;

Evaluate each logarithm.
log₇49

Answers

After evaluating the logarithm log ₇ 49, we get the result as 2.

The common logarithm is also known as the base 10 logarithm. It is represented by log10 or simply log.

For example, the common logarithm of 1000 is written as log(1000). The common logarithm defines how many times we need to multiply by 10 to get the required output.  The natural logarithm is called the logarithm of base e. The natural logarithm is represented by ln or loge. Here, "e" stands for Euler's constant which is approximately equal to 2.71828.

We need to evaluate log ₇ 49

x = log₇ 49

We can also write it as:

7ˣ = 49

7ˣ = 7²

Comparing the bases, we get that:

x = 2

Therefore, after evaluating the logarithm log ₇ 49, we get the result as 2.

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△LMN with vertices L(4, 8), M(4, 3), and N(8, 8) is rotated 270° clockwise about the origin.
What are the coordinates of L′?

Answers

The image of the triangle at point L is L' = (-8, 4)

How to determine the image of the triangle when rotated?

The vertices of the triangle are given as:

L(4, 8), M(4, 3), and N(8, 8)

The transformation rule is given as

270 degrees rotation

The rule of 270 degrees rotation is

(x,y) = (-y , x)

When the above rule is applied to the vertices of the triangle, we have:

L' = (-8, 4)

Hence, the image of the triangle at point L is L' = (-8, 4)

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I need help…………………..

Answers

Answer:

I believe its 3.5, 6

Step-by-step explanation:

the right arrow points to the last box and after 4 it goes to 5 then 6

the left arrow points at the 3 quarters between 4 and 2 so it's technically 3.5

hope it helps!

x
10
8
What is the value of x?
X =

Answers

your ans

Step-by-step explanation:

the value of x is 6

The value of x will be 6 for the given triangle.

What is the Pythagorean theorem?

Pythagorean theorem states that in the right angle triangle, the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Given that in the right-angle triangle, the hypotenuse is 10, the base is 8 and the perpendicular is x.

The value of x will be calculated as:-

x² = 10² - 8²

x² = 100  - 64

x² = 64

x = √36

x = 6

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Please help me please help me

Answers

Answer:

the third option I think it says (-1,4)

Step-by-step explanation:

So the directions are basically asking to turn in the paper 3 times ending up in the 1st quadrant. Because 90*3 equals 270 degrees. There would be only one point in the negative and there are 2 options. So, we would immediately know that the first option or the last option is wrong. I don't really know how to explain this without drawing so if you could try turning your paper 3 times then you'll see what I mean. Comment if you need any more help. Or if you have any questions. My explanation is pretty bad I apologize.

The density of a certain material is such that it weighs 430 kilograms per cubic foot
of volume. Express this density in grams per cup. Round your answer to the nearest
whole number.

Answers

Density ( in grams per cup )= 3593

Density( in kilograms per cubic foot )=430

1 kilogram per cubic foot = 8.36 grams per cup

Density ( in grams per cup )= 3593

The density of a material indicates the density of that material in a specific area. The density of a material is defined as its mass per unit volume. Density is a measurement of how closely matter is packed together. It is a distinct physical property of a specific object. Archimedes, a Greek scientist, discovered the density principle. If you know the formula and understand the units, calculating density is simple. Density is represented by the symbol, which can also be represented by the letter D.

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How do I solve this?

Answers

Answer:times  5 and 5 =25  7 and 7=49 add answers 74

Step-by-step explanation:

What is the image point of (-1,8)after a translation right 1 unit and up 2 units?

Answers

Answer:

so your first number in your plotted points is the x value and the next is the y value as shown here (x,y) so if it needs to go up 2 and right 1 what we do is increase the -1 to a 0 because you are moving right on the graph which makes it become a positive. now if you were to move up 2 that is your y coordinate because y controls up and down movement while x controls left and right movement so you would increase the 8 to 10 so you'll find no coordinates would end up being (0,10)

The first answer is B the second part goes to G

Find the highest common factor (HCF) of 90​

Answers

90 is the highest common factor

three times the smaller of three consecutive even integers is four less than twice the larger

Answers

The required solution of the given statement is 0 the smaller integer and 2 for the bigger integer.

What is integer?

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.

Given:

The statement is three times the smaller of three consecutive even integers is four less than twice the larger

According to given question we have

Let the even integers be x and x + 2 .

Here, x is the smaller integer

(x + 2) the bigger integer.

By the equation is

3x =2(x + 2)-4

compare the like terms we get

x=4-4

x=0

The smaller integer=0

The bigger integer= 0+2=2

Therefore, the required solution of the given statement is 0 the smaller integer and 2 for the bigger integer.

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Given g(x)=5x-3g(x)=5x−3, find g(-2)g(−2).

Answers

The answer is -13.

If my solution is not clear to you, let me know and I’ll gladly explain in a different way

Which of the following functions are continuous for all real numbers?

f(x) = e²
g(x)=√x

Choose 1 answer:
f only
g only
Both f and g
Neither f nor g

Answers

Neither f or g are continuous for real numbers


Reasoning Relation r has one element in its domain and two elements in its range. Is r a function? Is the inverse of r a function? Explain.

Answers

Relation r is not a function and Inverse function because a single

input gives several outputs.

What is the Reasoning Relation R?

A subset of AB is a relation between two sets A and B. Consequently, an ordered pair (a,b) of a relation R is one where a=A and b=B. If (a,b)R, we say that it is connected to and write aRb.

Sets are defined as a collection of well-defined objects. Relation refers to a relationship between the elements of 2 sets A and B. It is represented by R. We say that R is a relation from A to A, then R ⊆ A×A

1. Identity Relation: In an identity relation, every element is related to itself. Its notation is I = (a, a), A.

2. Empty relation: In an empty relation, there will be no connection between the set's components. This is a subset of.

3. Reflexive relation: Each element is mapped to itself in a reflexive relation. If (a, a) R for all aR, a relation R in a set A is automatic.

4. An irreflexive relation exists when two elements are not related to one another.

5. Inverse relation: An inverse relation exists when a set contains elements that are inverse pairs of those in another set. For instance, R-1 = (q,p), (s,r) if A = (p,q), (r,s), etc.

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3. An example of an irrational number is _____.
A. -17 square root
B. square root of 16
C, -9 square root
D. square root for 1

Answers

A -17 doesn’t have a number that can multiply its self and get 17 or -17

Factor the ff.

1.) 2x² + 17x + 35
2.) 2y² - 5y - 3
3.) 3x² - 8x + 4​

Answers

1.

[tex] 2x {}^{2} + 17x + 35 \\ = 2x {}^{2} + 10x + 7x + 35 \\ = 2x(x + 5) + 7(x + 5) \\ = (2x + 7)(x + 5)[/tex]

2.

[tex]2y {}^{2} - 5y - 3 \\ = 2y {}^{2} -6y + y - 3 \\ = 2y(y - 3) + 1(y - 3) \\ = (2y + 1)(y - 3)[/tex]

3.

[tex]3x {}^{2} - 8x + 4 \\ = 3x {}^{2} - 6x - 2x + 4 \\ = 3x(x - 2)( - 2)(x - 2) \\ = (3x - 2)(x - 2)[/tex]

Nick was scuba diving at -32 1/2 feet. If he descends another 8 3/5 feet, what is his location?

Answers

Answer:

-41.1 feet

Step-by-step explanation:

-32.5-8.6=-41.1

1/2=0.5

3/5=6/10=0.6

jackie has fewer than 20 h to work on her jewelry. it takes her half an hour to make a necklace and an hour to make a bracelet. she wants to make x necklaces and y bracelets, and she wants at least twice as many bracelets as necklaces. select all inequalities that model this situation.

Answers

The inequalities that model the given situation are 0.5x+y<20, y≥2x and x>0.

Let Jackie wants to make x necklace and y bracelets.

Now, Since it take her half an hour to make a necklace and one hour to make a bracelet.

Also since she has fewer than 20 h total to work on the jewelry. So we have

0.5x + 1y < 20

=> 0.5x + y < 20

and she want at least twice as many bracelets as necklace, so we have

y ≥ 2x

also the number of necklace should be greater than 0. So x > 0

So the required inequalities are:

0.5x + 1y < 20

y ≥ 2x

and x > 0

Hence, The inequalities that model the given situation are 0.5x+y<20, y≥2x and x>0.

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Problem Solving

Use the table for Exercises

13-16 that shows the average

weights of popular dog breeds.

13. Complete the table.

14. Which weight(s) have a prime

factorization of exactly three

factors?

Breed

Cocker Spaniel

German Shepherd

Labrador Retriever

Beagle

Golden Retriever

Siberian Husky

Weight (lb)

20

81

67

25

70

50

Prime Factorization

Answers

Prime numbers are those numbers that are divisible only by the number itself and by 1. Such numbers are 2, 3, 5, and 7 etc.

Factorization is when we write a given mathematical term in product of its various factors. Suppose we are provided with a mathematical expression of:

x^2 + 3x + 2

We will undergo its Factorization and write the expression in its possible factors:

( x + 1 ) ( x + 2)

By multiplying these factors, we will get the actual expression x^2 + 3x + 2.

Prime Factorization is a method of identifying which prime numbers multiply together to give the original value/expression.

Suppose we have a number 60, then the prime factors of it will be:

60

6  x  10

2 x 3    2 x 5

In the problem statement above, we are provided with some popular dog breeds, and we are expected to find the prime factors of each of the given weights of the breed.

The weights that have a prime factorization of exactly three number are as follows:

Prime factors of 20 (Cocker Spaniel)

= 2 x 2 x 5

Prime factors of 50 (Siberian Husky)

= 2 x 5 x 5

Prime factors of 70 (Golden Retriever)

= 2 x 5 x 7

Weights that have the same number in their prime factorization are:

Prime factors of 81 (German Shepherd)

= 3 x 3 x 3 x 3

Prime factors of 25 (Beagle)

= 5 x 5

So, the prime factorization of the weights of the dog breeds are being found. While Labrador Retriever 67 is a prime number itself.

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There are two teams of customer service representatives at a call center for a software company. The call center manager wants to give a prize to the team who most consistently has customer service calls with the least total call times. The two graphs show the distributions of the total call times of the two different teams. Team A 0 3 4 5 1 2 Total Call Times (minutes) Team B 0 I 2 3 4 5 Total Call Times (minutes) Which of the following provides a correct argument in support of the team that should be awarded the prize?​

Answers

The correct argument in support of the team that should be awarded the prize is; Team A because their distribution of total call times is skewed to the right, which shows the majority of total call times are less than the mean.

How to interpret Skewed Graphs?

A skewed distribution is a distribution which is non-symmetric and also it has no mirror-imaging.

One common characteristic of skewed distributions, is that one tail of the distribution will be quite longer or drawn out relative to the other tail.

A distribution is said to be skewed right when one of the tail is on the right side.

A distribution is said to be skewed left when one of the tail is on the left side.

Now, we want to find the correct argument in support of the team that should be awarded the prize.

Looking at the two graphs of team A and B, we see that team A has a distribution that is skewed to the right which means majority of total call times are less than the mean.

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A parking area at a department store is shaped like a quarter circle with a radius of 123 meters. Due to the fact that the department store is to be rebuilt, the parking area must be temporarily reduced to 1/3 of its original area. What is the radius of the new parking area assuming it is still a quarter circle?


a. 91 m

b. 71 m

c. 77m

d. 82 m

Answers

The answer is 91 m because divide 123 by 1/3 and that will be the answer so a 91m

The radius of the new parking area is 82 meters

How to determine the radius of the new parking area?

The radius of the old parking area is given as

Radius, R = 123 meters

From the question, we understand that:

The parking area must be temporarily reduced to 1/3 of its original area

This means that

New Radius = Old radius - Old radius * 1/3

So, we have

New Radius = 123 meters - 123 meters * 1/3

Evaluate the product

So, we have

New Radius = 123 meters - 41 meters

Evaluate the difference

New Radius = 82 meters

Hence, the radius of the new parking area is 82 meters

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Wayne charges a flat photography fee of $100 to take pictures. He also charges $35 per hour. If Wayne made $240 to take pictures at an event, how many hours did he spend taking pictures at the event?

Answers

Answer:

100 + 35x = 240

240 - 100 = 140 = 35x

140/35 = 4

Step-by-step explanation:

4 hours, not a bad pay o.o

Answer:

4 Hours

Step-by-step explanation:

Let y=money

Let x= Hours

y=mx+b

240=35x+100

minus 100

140=35x

divide 35

4=x

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In Shakespeares tragedy Romeo and Juliet, Juliet says to Romeo: Whats in a name? That which we call a rose / By any other name would smell as sweet. Do you agree with Juliet that a name doesnt represent the essence of the thing it names, or do you think that a persons name actually does reflect his or her character? How does Gogol feel about his name at first? How do his feelings about his name change over the course of these two chapters? What are his objections to his name, and what are these objections based on? Compose your response in an essay of 300 words, using specific details from the text. On December 18, 2020, Stephanie Corporation acquired 100 percent of a Swiss company for 4.003 million Swiss francs (CHF), which is indicative of book and fair value. At the acquisition date, the exchange rate was $1.00 = CHF 1. On December 18, 2020, the book and fair values of the subsidiarys assets and liabilities were as follows: Cash CHF 803,000 Inventory 1,303,000 Property, plant, and equipment 4,003,000 Notes payable (2,106,000 ) Stephanie prepares consolidated financial statements on December 31, 2020. By that date, the Swiss franc has appreciated to $1.10 = CHF 1. Because of the year-end holidays, no transactions took place prior to consolidation. Determine the translation adjustment to be reported on Stephanies December 31, 2020, consolidated balance sheet, assuming that the Swiss franc is the Swiss subsidiarys functional currency. What is the economic relevance of this translation adjustment? Determine the remeasurement gain or loss to be reported in Stephanies 2020 consolidated net income, assuming that the U.S. dollar is the functional currency. What is the economic relevance of this remeasurement gain or loss? I would really appreciate some help. I am confused with this problem..it says Solve for Find the number of distinct permutations that can be formed from all the letters of each word (1) UNUSUAL. Steve is going to prom with a group of friends. steve's group of friends decide to rent a limo. a local company is willing to rent a limo for $130 an hour. the limo can hold up to six people. steve and his five friends decide to split the cost of the limo evenly. if they rent the limo for four hours, how much will steve and his friends expect to pay? (round up to the nearest dollar amount) Write 1.47 X 10^3 m/s, the speed of sound in water, in standard notation The right of citizens of the united states to vote shall not be denied or abridged by the united states or by any state on account of race, color, or previous condition of servitude. " from the 15th amendment how do you think southern states got around this amendment? "Danger to health increases with amount smoked," reads a warning label on a package of cigarettes. this label best expresses the _____ effect. Which are features of myths 6+7x5+7-8x9x-1x10+67-100+1 Growers produce oranges, grapefruits, tangerines, and other citrus fruits.activepassive Duo makes 65 percent of his dumplings with vegetarian fillings.What fraction of Duo's dumplings have vegetarian fillings? What is the value of x+26 My cell phone was taken by my teacher during testing. Which of the following correctly revises the sentence from passive voice to active voice?A. The teacher took my cell phone during testing.B. During testing, my cell phone was taken by my teacher.C. Any cell phone that is out during testing will be taken.D. My cell phone was taken during testing A school has 1256 pupils write this number to the nearest 10 , 100 and 1000 I am making a dating profile for the organelle, Cilia, and I need a pick-up line and a hashtag. Please help!! molly is a real estate agent for coldwell banker. whenever she works with a client, she focuses on obtaining leads for prospective clients who are friends or families of her current client. molly is acting in her capacity as a(n) . Find the inverse of each function. y=log (x-6) How might a pyramid of energy for a grassland community differ between summer and winter? think about the effects the different abioc condions of each season might have on the ecosystem. use your conclusions to draw a pyramid of energy for each season. explain any differences between the two pyramids. what is the answer for 5 - ( -7) = 5 + _____write as additionplease give explanation for this