George calculated the distance between (2, 4) and (6, 3) using the distance formula. His work is shown below. 1. d = StartRoot (6 minus 2) squared + (3 minus 4) squared EndRoot. 2. d = StartRoot (4) squared + (negative 1) squared EndRoot. 3. d = StartRoot 16 + 1 EndRoot. 4. d = StartRoot 17 EndRoot Analyze George’s work. Is he correct? If not, what was his mistake? Yes, he is correct. No, he substituted values in the wrong places. No, he didn’t use the proper order of operations. No, he evaluated the powers incorrectly. will mark brainliest

Answers

Answer 1

Answer:

Yes, he is correct

Step-by-step explanation:

d = sqrt[(6-2)² + (3-4)²]

d = sqrt[4² + (-1)²]

d = sqrt(16 + 1)

d = sqrt(17)

Answer 2

Answer:

A

Step-by-step explanation:

Yes he is correct.

he didn't substitute the values in the wrong places.

he did use the proper order of operations.

he didn't evaluate the powers incorrectly.

Therefore, A is correct.


Related Questions

What is the result when the number 24 is decreased by 3.3%

Answers

Answer:

Step-by-step explanation:

23.21

Answer:

23.208

Step-by-step explanation:

Venity it (6,-3) is a solution to the system of equations. Is the ordered pair a solution to the system?
Yes, because there are infinite solutions to the
system of equations.
No, because substituting these values into the first
y=-x+1
equation creates a false statement.
Yes, because substituting these values into both
equations forms two true statements.
No, because substituting these values into the
second equation forms a false statement.
Intro
Done

Answers

Answer: c

Step-by-step explanation:

i got it right

Answer:

C) Yes, because substituting these values into both equations forms two true statements.

Step-by-step explanation:

1. To measure the resting heart rate of an animal biologist use the function h(m) = 530m-C), where h
is resting heart rate in beats per minute, given the mass m in pounds.
Part A: What is a feasible domain for the function him?

Answers

Answer:

Step-by-step explanation:

In mathematics, the domain or set of departure of a function is the set into which all of the input of the function is constrained to fall. It is the set X in the notation f: X → Y. Since a function is defined on its entire domain, its domain coincides with its domain of definition, the subset of the domain for which the function associates an image. However this coincidence is no longer true for a partial function since the domain of definition of a partial function can be a proper subset of the domain.

Differentiate the function:
y=x^3+2x-1

Answers

Answer:

y' = 3x² + 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

Identify

y = x³ + 2x - 1

Step 2: Differentiate

Basic Power Rule:                                                                                             y' = 3x³⁻¹ + 1 · 2x¹⁻¹ - 0Simplify:                                                                                                              y' = 3x² + 2

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

what geometric figure is the union of two noncollinear rays a b and a c

Answers

9514 1404 393

Answer:

  angle bac

Step-by-step explanation:

Both rays emanate from the shared point 'a', which will be the vertex of ...

  angle bac

Petra jogs 6 miles in 42 minutes. At this rate, how long would it take her to jog 10 miles?

Answers

Answer:

70 minutes

Step-by-step explanation:

So if Petra takes 42 min to jog 6 miles, then how long would it take to jog 10 miles? What do we do?

We make a proportion, 6/42 = 10/x

We cross multiply and get an equation of 10*42 = 6*x

We simplify, 6x = 420

And divide 6 by both sides to get x= 70 min

- Hope this helped :)

Brainliest is most appreciated :)

Answer:

It would take Petra 70 minutes to jog 10 miles.

Step-by-step explanation:

There are several ways we can solve this.

As a rate:

42/6=7

One mile takes her 7 minutes.

7*10=70

10 miles takes her 70 minutes.

As a proportion:

6/42=10/x

Cross multiply.

420=6x

x=70

It would take her 70 minutes.

The owner of a deli gathered data about the number of flavored bagels and plain bagels sold during the first hour of business for several days. He organized the data in a scatter plot, with x representing the number of flavored bagels and y representing the number of plain bagels sold. Then he used a graphing tool to find the equation of the line of best fit: y = 1.731x + 6.697. Based on the line of best fit, approximately how many flavored bagels can the deli expect to sell during an hour when 50 plain bagels are sold? A. 25 B. 33 C. 87 D. 93

Answers

The answer is A.) 25

The previous answer of 87 is wrong, and there is me to prove it below.

The deli can expect to approximately sell 25 flavored bagels during an hour when 50 plain bagels are sold.

What is a scatter plot?

A scatter plot is a plot containing points that are made using different cartesian coordinates. The line that passes approximately through these points is called the regression line.

The number of flavored bagels can be found as shown below:

To find the number of flavored bagels which is x, we have to substitute the value of y which is the number of plain bagels sold.

The equation is given as:

y = 1.731x + 6.697

Now substitute the value of y = 50:

50 = 1.731x + 6.697

43.303 = 1.731x

x = 43.303/1.731

= 25.016 ≈ 25 falvored bagels

Therefore, the deli can expect to approximately sell 25 flavored bagels during an hour when 50 plain bagels are sold. The correct answer is option A.

Learn more about scatter plots here: https://brainly.com/question/6592115

#SPJ2

1.
Find the midpoint of MN given M(3,-1) and N(11,-9)

Answers

Amnsid sjsjjdkd skied shudders

What is B H and area of the parallelogram

Answers

Answer:

see below

Step-by-step explanation:

The base is 16ft

The height is 10 ft

We can find the area by

A = bh

A = 10*16 = 160 ft^2

whats the answer for 45 meters every 5 seconds = meters per second

Answers

Answer:

9 meters every second

Step-by-step explanation:

45/5=9

5/5=1

9:1

9 meters just multiply 9 and 5 and you will get 45 by that you can gather your answer

Suppose a pyramid’s dimensions are tripled. What is the ratio of this new, larger pyramid’s volume to that of the original pyramid?
The new volume is one third the original volume.
The new volume is triple the original volume.
The new volume is 9 times the original volume.
The new volume is 27 times the original volume.

Answers

Answer:

The answer is D

Step-by-step explanation

I took the quiz on ed.

Answer:

the answer is d: the new volume is 27 time the original volume.

Step-by-step explanation:

The answer plz hurryyy

Answers

Answer:

The answer is that the y-coordinate should be -3 1/2.

Step-by-step explanation:

First, look at the graph. On the x-axis, the dot is at -5, since it is 5 units to the left of the origin. On the y-axis, the dot is at -3 1/2. It is between -3 and -4, not -4 and -5. Therefore, the answer is that the y-coordinate should be -3 1/2, not -4 1/2. You can also check by seeing if -4 1/2 is reasonable. -4 1/2 would mean the dot would be more than 4 units below the origin. On the graph, the dot is clearly above the -4 mark, so the -4 1/2 must not be correct.

What value of x is in the solution set of 4x - 123 16 + 8x?

Answers

Answer:

the value of x is in the solution set of 4x-12<16=8x

Step-by-step explanation:

multiply the 4x take away from 12= 8x

a cinema seats 280 people. if 98 people are in the cinema what percentage of seats are filled?

Answers

Answer:

35%

Step-by-step explanation:

The total number of cinema seats can seat 280 people. Since 98 people take up 98 seats of the cinema, they are taking up 98 cinema seats out of the 280 cinema seats originally available.

As a fraction this would be written as  [tex]\frac{98}{280}[/tex] .

What you want to do is then divide 98 by 280 or 98/280, to get 0.35.

To get the percentage of seats filled, you must multiply the decimal you get by 100.

So it should look like this and your result should be 35%.

[tex]\frac{98}{280} = 0.35 *100=35[/tex]%

Suppose the following set of random numbers is being used to simulate the event of a basketball player making 3 free throws in a row. How should the numbers be arranged?

Answers

Answer:

860 583 785 814 010 122 337 198 621 549 034 076 796 495 978 078 433 330 333 153

Step-by-step explanation:

a p e x :))

Answer: 860 583 785 814 010 122 337 198 621 549 034 076 796 495 978 078 433 330 333 153

Step-by-step explanation:

The perimeter of a rectangle is 42feet. The length decreased by 3times the width is 1foot . What are the dimensions of the rectangle? (what is the length and width)

Answers

Answer: Length is 16 ft. Width is 5 feet.

Step-by-step explanation: Take the information given and write an equation. "Length decreased by 3 is 1" becomes L - 3w = 1 .

"Solve" for L. L= 3w +1

Write another equation for the formula of a perimeter. P=2L + 2w.

Substitute the values for L (from the first "solution" you wrote) and P (42 ft, given).

42 = 2(3w +1) + 2w. Solve this.

42= 6w +2 + 2w

42= 8w +2. Subtract 2 from both sides then divide both sides by 8.

W = 5

Substitute that into the first equation you wrote to get the Length.

L - 3(5) = 1

L -15 = 1. L = 1+15

L = 16

Ms Davis is doing an activity with her statistic students where she gives them a 20 question multiple top choice test and they know none of the answers. Students need to guess on every question and each question has 5 possible choices, 1 of the which is correct.

What is the mean and standard deviation of the number of questions that each student gets correct?

Answers

Answer:

The mean and standard deviation of the number of questions that each student gets correct are 4 and 1.789 respectively.

Step-by-step explanation:

Let the random variable X be defined as the number of correct answers marked by a student.

It is provided that each question has 5 possible choices, 1 of the which is correct.

Then the probability of marking thee correct option is:

[tex]P(X)=\frac{1}{5}=0.20[/tex]

There are a total of n = 20 questions to be answered.

As the students does not the answer to any question, they would be guessing for each question. This implies that for a random question, all the five options has the equal probability of being correct and each of the five options can be correct independently from the other.

All these information above indicates that the random variable X follows a Binomial distribution with parameters n = 20 and p = 0.20.

The mean and standard deviation of a Binomial distribution are:

[tex]\mu=np\\\\\sigma=\sqrt{np(1-p)}[/tex]

Compute the mean and standard deviation of the random variable X as follows:

[tex]\mu=np=20\times 0.20=4\\\\\sigma=\sqrt{np(1-p)}=\sqrt{20\times 0.20\times(1-0.20)}=1.789[/tex]

Thus, the mean and standard deviation of the number of questions that each student gets correct are 4 and 1.789 respectively.

The mean will be "4" and the standard deviation will "1.789".

According to the question,

The probability of making 3 correct options will be:

→ [tex]P(X) = \frac{1}{5}[/tex]

            [tex]= 0.20[/tex]

Total number of questions,

n = 20

As we know,

The mean will be:

→ [tex]\mu = np[/tex]

By substituting the values, we get

     [tex]= 20\times 0.20[/tex]

     [tex]= 4[/tex]

and,

The standard deviation will be:

→ [tex]\sigma = \sqrt{np(1-p)}[/tex]

      [tex]= \sqrt{20\times 0.20\times (1-0.20)}[/tex]

      [tex]= 1.789[/tex]

Thus the responses above are correct.

Learn more about standard deviation here:

https://brainly.com/question/20896613

The function f(x)=-(x-3)^2+9 can be used to represent the area of a rectangle with a perimeter of 12 units, as a function of the length of the rectangle, x. What is the maximum area of the rectangle?
A)3 square units
B)6 square units
C)12 square units
D)9 square units

Answers

Answer:

  D)  9 square units

Step-by-step explanation:

The squared term will always be non-negative, so the least it can be is zero (for x=3). The squared term is subtracted from 9, so the most the function value can be is 9.

The maximum area of the rectangle is 9 square units.

Answer:

9 square units

Step-by-step explanation:

The answer to the volume of a sphere/hemisphere should only be written as a(n)

Answers

Answer:

Cubic unit.

Step-by-step explanation:

The answer to the volume of a sphere/hemisphere should only be written a cubic unit, because volumes depends on three coordinates to be defined, width, lenght and height, where each coordinates is a length itselft, which multiplied give a cubic length unit, due to the power properties.

For example, imagine that you have all three dimensions in meters, then the product would be [tex]m \times m \times m=m^{3}[/tex].

Therefore, the answer that completes the statment is cubic unit. A volume should be always written in cubic units.

Answer:

The answer to the volume of a sphere/hemisphere should only be written as a function of the radius.

Step-by-step explanation:

An hemisphere is half of a sphere. Its volume can be determined by dividing the volume of a given sphere by 2. The volume is the maximum space or capacity that a 3 dimensional object occupies.

volume of a sphere = [tex]\frac{4}{3}[/tex] [tex]\pi[/tex] [tex]r^{3}[/tex]

volume of an hemisphere = [tex]\frac{2}{3}[/tex] [tex]\pi[/tex] [tex]r^{3}[/tex]

In both cases, the volume is dependent on the value of radius.

The answer to the volume of a sphere/hemisphere should only be written as a function of the radius. Volume is measured in cubic units.

What’s the correct answer for this?

Answers

Answer:

The first option. ∠2 and ∠4 are vertical angles.

Step-by-step explanation:

The fact that ∠2 is vertical with ∠4, proves the angles must be congruent. Vertical angles are always congruent, while adjacent angles are supplementary.

Answer:

C

Step-by-step explanation:

Angle 1 is supplementary to both 2 and 4. It's correct

Solve the system of equations.

y = 2x
y = –x + 6

X=
Y=

Answers

Answer:

x=2  y=4

Step-by-step explanation:

y = 2x

y = –x + 6

Set the two equations equal to each other

2x = -x+6

Add x to each side

2x+x =-x+x+6

3x = 6

Divide each side by 3

3x/3 = 6/3

x =2

Now find y

y = 2x

y =2(2)

y = 4

If zeke grabbed a handful of buttons, what are the chances that all of the buttons in his hand are round ? Should this be consider an statistical question ?

Answers

Answer: yes

Step-by-step explanation:

because if you were to ask someone this question they would respond with a number but a lot of people would reply with different answers which shows variability if it were to be compared with other different answers.  A statistical question is one that can be answered by collecting data and where there will be variability in that data.

Which is one way to find 2/3 of a number?
A. Divide by 2 and divide by 3.
B. Multiply by 3/2
C. Divide by 3 and multiply by 2.
D. Divide by 2 and multiply by 3.

Answers

Answer:

C. Divide by 3 and multiply by 2.

Step-by-step explanation:

To find 2/3 of a number, we multiply by 2 and divide by 3

2/3 * x

This is the same as dividing by 3 and multiplying by 2

the answer is C because what you do is you take the number they gave you and divide by 3 and then you multiply by 2 to get your finial answer.

Hope this helps

A certain television is advertised as a 45-inch Tv (the diagonal length). if the width of the TV is 36 inches, how many inches tall is the TV?

Answers

Answer:

27

Step-by-step explanation:correct answer

hope this helps

plz mark me the brainliest

John and Ellen bought a big pizza. Ellen ate 2/4 of the pizza and John ate 1/3 of the pizza. How much did they eat all together? How much was left over? (Hint: 12 is the Lowest Common Denominator).

(1/4 was wrong plss helppp)

Answers

Answer:

How much did they eat all together? 5/6

How much was left over? 1/6

[tex] \\ [/tex]

Step-by-step explanation:

How much did they eat all together?

[tex] \frac{2}{4} + \frac{1}{3} \\ = \frac{6}{12} + \frac{4}{12} \\ = \frac{10}{12} \\ = \frac{5}{6} [/tex]

[tex] \\ [/tex]

How much was left over?

[tex] 1 - \frac{5}{6} \\ = \frac{6}{6} - \frac{5}{6} \\ = \frac{1}{6} [/tex]

What’s the volume of the pic

Answers

Answer:

100[tex]\pi[/tex] cubic cm

Step-by-step explanation:

The volume of a cone can be represented by the formula [tex]\frac{1}{3} \pi r^{2} h[/tex]. Since we know the radius is 5, all we need to find id the height. To do that, we can use the Pythagorean theorem, and see that the height is equal to 12. Plugging the numbers into the formula gives us:

[tex]V =\frac{1}{3} \pi (5^{2}) (12)[/tex]

[tex]V = 100\pi[/tex]

HOPE THIS HELPED! :)

Helppp.........!!!!!!

Answers

Answer:

84 centimeters of the width of the item in reality

Step-by-step explanation:

Let us plan out our steps, and solve for each:

1. Given the information, let us create a proportionality as such:

         1       =           14      ⇒   x - width of item in reality (cm)

         6                    x

2. Now let us cross multiply, and solve through simple algebra:

14 * 6 = x,

x = 84 centimeters of the width of the item in reality

X=84 have a nice day or night

My ice maker created the perfect cube today. Each side was 22 mm.
What is the volume of the ice cube?

Answers

10,648 mm...... volume formula

Area of 480 sq inches. Length is 1 1/5 width

Answers

Answer:

Step-by-step explanation:

11x5=55

480 dived by 55 = 8.72 repiting

The local weather station collected data for the history of temperatures in the month of December in Houston. The tables show the temperature every two hours after 8 a.m. the data can be modeled by a quadratic function

Answers

Answer:

  6.  B. T(n) = -0.411n² +6.5n +27

  7.  C. The zeros, -18 and 18, can be found when 0 = (x +18)(x -18)

Step-by-step explanation:

6. Graphing, or thinking about the data in the table, you see that it is described by a curve that opens downward and has a peak in the vicinity of n=8.

Of the choices offered, the only ones that describe a downward-opening curve are the ones with a negative leading coefficient, B and C. Of those two, Choice C has a peak at n=0, leaving choice B as the only viable one.

This is confirmed by software that computes the regression formula for you. (see attached)

__

7. You know that "the difference of squares" has a special factored form:

  a² -b² = (a +b)(a -b)

This suggests that the function you have might be considered in terms of the difference of squares:

  h(x) = x² -324 = x² -18²

So, its factoring would be ...

  h(x) = (x +18)(x -18)

The zeros of the function are those values of x such that h(x) = 0. Hence, the zeros can be found when ...

  0 = (x +18)(x -18)

Those values of x are -18 and 18, matching choice C.

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Daniel was taken to Babylon inB.C., during the reign ofking of Judah. Name two groups that have benefited from changes in India. Which text structure does this paragraph use?Samuel De Champlain was born in the mid-sixteenth century, in Brouage. An early explorer of North America, he made his maidenvoyage to North America as a member of a fur-trading expedition in 1603. Over the next four years, he returned to the areamultiple times. A fan of navigation and exploration, he created the first map of the New England and Canadian coastline. He usedhis own travel experiences, discussions with American Indians, and mathematical calculations to create the work.A. compare and contrastB. cause and effectC. descriptionD. problem and solution Any help someone...(solve triangles using the law of sines) The graph of y = cosine (x + StartFraction pi Over 2 EndFraction) is the graph of the y = cos(x) shifted in which direction?StartFraction pi Over 2 EndFraction units to the leftStartFraction pi Over 2 EndFraction units to the rightStartFraction pi Over 2 EndFraction units upStartFraction pi Over 2 EndFraction units down In a work problem, what is represented by the number 1? 100% of the job. The first attempt at the work. 1 more attempt at the work is needed. The effort being put forth in the problem. The product of x and 6 is less than or equal to -17. A unicycle wheel has a diameter of 12 inches. How many inches will the unicycle travel in 5 revolutions? Take a look at the square pyramid illustrated below. it is a picture of one of the"Great Pyramids of Egypt." Calculate the total surface area of the Great Pyramid.Show your work! A. Surface Area of Great Pyramid = 1,831,583 square feetB.Surface Area of Great Pyramid = 892,784 square feetC. Surface Area of Great Pyramid = 1,297,956 square feetD. Surface Area of Great Pyramid = 545,672 square feet please help! i do not understand An aging of a company's accounts receivable indicates that $8,000 are estimated to be uncollectible. If Allowance for Doubtful Accounts has a $1,100 credit balance, the adjustment to record bad debts for the period will require a a. debit to Bad Debts Expense for $8,000. b. debit to Allowance for Doubtful Accounts for $6,900. c. debit to Bad Debts Expense for $6,900. d. credit to Allowance for Doubtful Accounts for $8,000. Write a cosine function that has a midline of 2, an amplitude of 4 and a period of 4/7 Which decisions made in the first months of a settlement prove critical to its outcome? Do they seem critical at the time they are made? there are 12 inches in 1 foot write an equation to find the number of inches in any number of feet The economy is in equilibrium, TP = TE. Then, autonomous consumption rises. As a result, __________ rises, the __________ curve shifts __________, inventory levels unexpectedly __________, and business firms __________ the quantity of goods and services they produce. Group of answer choices consumption; TE; downward; fall; increase consumption; TE; upward; fall; increase consumption; TE; upward; rise; decrease investment; TE; upward; fall; increase investment; TP; leftward; fall; increase The blank page. For many writers, this is one of the most intimidating things they must encounter. Many think to themselves: How can I possibly fit everything I want to say onto this page? Will I be able to connect with my audience? or How do I focus? The one question that every writer asks, however, is Where do I start? Finding a starting point is difficult. It can even be overwhelming. In fact, many writers get anxious and nervous when they begin writing. Many famous authors have had to experience being nervous about writing. Ernest Hemingway's novel The Sun Also Rises takes place during World War I. One way to overcome this anxiousness is to think about the first sentence as opposed to the final draft. Think of it as building a house. Writing is put together in a similar wayword by word and then sentence by sentence. Another way to get over the nervousness of a blank page is to write anything down. Even if your writing doesn't make sense, this is a good exercise to get you started in the act of writing. Even writing your name over and over at least gets you into the act of writing instead of sitting around waiting for the ideas to come to you. Also, it gets rid of your nervous energy. Writing a word over and over on a chalkboard is one way some teachers make students behave. In addition, another way to get over the first step of writing is to talk. Talk to friends, parents, or whoever will listen. Ask them questions about what they think about certain subjects. When it's time to write, you'll find that those ideas and talks will come back to you.3Which sentence from this passage supports the main idea the least? A. Many famous authors have had to experience being nervous about writing. B. Another way to get over the nervousness of a blank page is to write anything down. C. In fact, many writers get anxious and nervous when they begin writing. D. Ernest Hemingway's novel The Sun Also Rises takes place during World War I. PLS HELP ME M^2- 7m+1 ? Is 0 rational or irrational? 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