Click here to log into Newsela
Once you are logged in you need to find an article related to Math to read. If you click the search button and type in Math you will find hundreds of articles to choose from.

The name of the article I chose is ____ and the author is ______.

Please write one paragraph in response to the article. In your paragraph summarize the article and specifically explain the connection it has to math.

Contain at least 4 complete sentences.
Have sentences that start with capital letters and end with punctuation.
Be written in your own words.
Include a specific quote or evidence from the article to show the math connection.

Answers

Answer 1

Answer:

n geometry, the notion of a connection makes precise the idea of transporting data[further explanation needed] along a curve or family of curves in a parallel and consistent manner. There are various kinds of connections in modern geometry, depending on what sort of data one wants to transport. For instance, an affine connection, the most elementary type of connection, gives a means for parallel transport of tangent vectors on a manifold from one point to another along a curve. An affine connection is typically given in the form of a covariant derivative, which gives a means for taking directional derivatives of vector fields, measuring the deviation of a vector field from being parallel in a given direction.

Connections are of central importance in modern geometry in large part because they allow a comparison between the local geometry at one point and the local geometry at another point. Differential geometry embraces several variations on the connection theme, which fall into two major groups: the infinitesimal and the local theory. The local theory concerns itself primarily with notions of parallel transport and holonomy. The infinitesimal theory concerns itself with the differentiation of geometric data. Thus a covariant derivative is a way of specifying a derivative of a vector field along another vector field on a manifold. A Cartan connection is a way of formulating some aspects of connection theory using differential forms and Lie groups. An Ehresmann connection is a connection in a fibre bundle or a principal bundle by specifying the allowed directions of motion of the field. A Koszul connection is a connection which defines directional derivative for sections of a vector bundle more general than the tangent bundle.

Connections also lead to convenient formulations of geometric invariants, such as the curvature (see also curvature tensor and curvature form), and torsion tensor.

Step-by-step explanation:

Answer 2

Answer:

n geometry, the notion of a connection makes precise the idea of transporting data[further explanation needed] along a curve or family of curves in a parallel and consistent manner. There are various kinds of connections in modern geometry, depending on what sort of data one wants to transport. For instance, an affine connection, the most elementary type of connection, gives a means for parallel transport of tangent vectors on a manifold from one point to another along a curve. An affine connection is typically given in the form of a covariant derivative, which gives a means for taking directional derivatives of vector fields, measuring the deviation of a vector field from being parallel in a given direction.

Connections are of central importance in modern geometry in large part because they allow a comparison between the local geometry at one point and the local geometry at another point. Differential geometry embraces several variations on the connection theme, which fall into two major groups: the infinitesimal and the local theory. The local theory concerns itself primarily with notions of parallel transport and holonomy. The infinitesimal theory concerns itself with the differentiation of geometric data. Thus a covariant derivative is a way of specifying a derivative of a vector field along another vector field on a manifold. A Cartan connection is a way of formulating some aspects of connection theory using differential forms and Lie groups. An Ehresmann connection is a connection in a fibre bundle or a principal bundle by specifying the allowed directions of motion of the field. A Koszul connection is a connection which defines directional derivative for sections of a vector bundle more general than the tangent bundle.

Connections also lead to convenient formulations of geometric invariants, such as the curvature (see also curvature tensor and curvature form), and torsion tensor.

Step-by-step explanation:


Related Questions

If the square root of n = 3/2, what is the negative square root of n ?

Answers

Answer:

use math.way

Step-by-step explanation:

has the answers

whats the missing leg?

Answers

Answer:

Step-by-step explanation:

using pythagoras theorem

a^2+b^2=c^2

a^2+2^2=7^2

a^2+4=49

a^2=49-4

a^2=45

a=[tex]\sqrt{45}[/tex]

a=3[tex]\sqrt{5}[/tex]

a=6.7

Points Points Points

Answers

Yesyesyes thank you have an amazing day!

Answer:

THANK YOU!

Step-by-step explanation:

Fuel efficiency, measured in miles per gallon, is a measure often considered by shoppers looking for a new car. The scatterplot shows the vehicle weight of 15 car models in pounds, plotted against their highway fuel efficiency. How would the value of the correlation coefficient change if the car weights were recorded in kilograms, rather than pounds?

Answers

Answer:

There will be no change

Step-by-step explanation:

The correlation Coefficient is a measure used in regression studies to examine the strength and type of relationship which exists between two variables (dependent and independent). The Coefficient gives a negative and positive values for negative and positive relationships respectively. The correlation Coefficient has no units and hence does not depend on the unit if measurement. Therefore. Changing the unit if measurement of a certain variable, will have no effect on the correlation Coefficient.

Give the most precise selection
for the quadrilateral with the
following vertices.
P(0,0), Q(0,2a), R(2a,2a), S(2a,0)
A. Parallelogram
B. Rectangle
C. Square
D. Rhombus

Answers

Answer:

Its definitley square to be precise so that's my answer, but its also a rhombus

Step-by-step explanation:

assuming a is 1, regardless, graph would always be square, which is a rhombus. hope  square is correct :)


Which of the following pairs of lines are not parallel?

Answers

Answer: Not sure

Step-by-step explanation: A is wrong because they are parallel in one is on the top to the right and 1 is on the bottom. sorry thats all i know :(

Evaluate 2n-6+5k/3(n-9) when n=4 and k=12​

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\textsf{If n = 4 and k = 12 the substitute it into the given equation.}[/tex]

[tex]\mathsf{\dfrac{2(4) - 6+5(12)}{3(4-9)}}[/tex]

[tex]\mathsf{2\times4=\boxed{\bf 8}}[/tex]

[tex]\mathsf{\dfrac{8-6+5(12)}{3(4-9)}}[/tex]

[tex]\mathsf{8-6=\boxed{\bf 2}}[/tex]

[tex]\mathsf{\dfrac{2+(5)(12)}{3(4-9)}}[/tex]

[tex]\mathsf{5\times12=\boxed{\bf 60}}[/tex]

[tex]\mathsf{\dfrac{2+60}{3(4-9)}}[/tex]

[tex]\mathsf{2+60=\boxed{\bf 62}}[/tex]

[tex]\mathsf{\dfrac{\bold{62}}{3(4-9)}}[/tex]

[tex]\mathsf{4 - 9=\boxed{\bf -5}}[/tex]

[tex]\mathsf{\dfrac{62}{3(-5)}}[/tex]

[tex]\mathsf{3\times-5=\boxed{\bf -15}}[/tex]

[tex]\mathsf{\dfrac{62}{\bf -15}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf -\dfrac{62}{15}}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Mr. Kurris is 50 years old. In four years, his house will be paid off and his daughter will be finished with collage. He wants to take out a five-year level-term life insurance policy with a face value of $750,000. The monthly premium is $61.

Answers

Complete question is;

Mr. Kurris is 50 years old. In 4 years, his house will be paid off and his daughter will be finished with college. He wants to take out a 5-year level-term life insurance policy with a face value $750,000. The monthly premium is $61,

a. What will be his total cost for this policy over the 5-year period?

b. If he dies after paying for the policy for 16 months, how much will the insurance company pay his beneficiaries?

c. If he does not die during the 5 years, how much does the insurance company make on this policy?

d. If he dies after paying for the policy for 13 months, how much will the insurance company lose on this policy?

Answer:

A) $3660

B) $750000

C) $3660

D) $749,207

Step-by-step explanation:

A) Since he wants to take out a five-year level-term life insurance policy, then number of payments for 5 years is;

12 months × 5 = 60 payments.

Since monthly premium is $61, then total cost = 61 × 60 = $3660

B) This is a level-term life insurance policy and so he will be paid the same amount over the entire period of the insurance policy.

Thus If he dies after paying for the policy for 16 months, his beneficiaries will still be paid same $750000

C) if he does not die during the 5 years, the amount the insurance company will make is same as the amount he is due for his premium which is $3660.

D) If he dies after paying for the policy for 13 months, amount that the insurance company will lose is;

>> 750000 - 13(61) = $749,207

(7x-3y)/(y-2x) = -(3/5).
Find the value of x/y. ​

Answers

Answer:

x =  12 y       y = 29x

     29             12

Step-by-step explanation:

x / y = 12 / 29

Cross multiply to get
5(7x - 3y) = -3(y - 2x)
35x - 15y = -3y + 6x
35x - 6x = -3y + 15y
29x = 12y
x = 12y / 29
x/y = 12 / 29

MARKING BRAINLIEST AND +50 PTS IF CORRECT!!!!

(02.01)The figure shows a pair of parallel line segments on a coordinate grid:

I added the pic.

The line segments are translated 2 units to the right to form E'F' and G'H'. Which statement describes E'F' and G'H'?

Line segments E'F' and G'H' do not intersect and are closer together than EF and GH.
Line segments E'F' and G'H' intersect at (−2, 0) and are two times farther apart than EF and GH.
Line segments E'F' and G'H' intersect at (0, −2) and are two times closer together than EF and GH.
Line segments E'F' and G'H' do not intersect and are the same distance apart as EF and GH.

Answers

Answer:If you have two parallel lines and shift both to the left by the same amount, that does not alter the distance between the lines. Thus, c is correct.

Step-by-step explanation:

ASAP
-WILL MARK BRIANIST

Answers

Answer:

The answer is 699...............

Answer:

699

Step-by-step explanation:

First replace the value k to 12.

So our new expression will be:

3+(71-13) times 12

You first do the  Parentheses so substract  71 minus 13 which gives you 58 then multiply 58 times 12 which gives you 696 then add 3 to it and you get 699.

As a fundraiser, the Music Boosters wrapped gifts at the mall one weekend.
Out of the 100 gifts they wrapped, 310 were for weddings, and 37100 were for baby showers.
The rest of the gifts were for birthdays. What fraction of the gifts was for birthdays?
Enter your answer in the boxes.

Answers

Step-by-step explanation:

[tex]but : \\ (36790 - x) + x + (37100 - x - B) = 37100 \\ 73890 - x - B = 37100 \\ x + B = 36790 - - - (a) \\ and : \\ (310 - B - x) + x + (36790 - x) = 310 \\ 37100 - B - x = 310 \\ x + B = - 36790 \\ B = 36790 - x[/tex]

Answer:

(36790−x)+x+(37100−x−B)=37100

73890−x−B=37100

x+B=36790−−−(a)

(310−B−x)+x+(36790−x)=310

37100−B−x=310

x+B=−36790

B=36790−x

Step-by-step explanation:

good luck

Antony purchases his Play Station 5 for $1,099 from Best Buy near the Parks Mall. The sales tax is 8.25%. How much does he pay for taxes? (Round to the nearest hundredth place

Answers

Answer: $90.67

Step-by-step explanation:

Sales taxes are paid per good purchased to the IRS and are more often than not, collected at the point of sale by the seller.

The sales tax paid on the PlayStation can be calculated by the formula:

= Price of purchase * Sales tax percentage

= 1,099 * 8.25%

= $90.67

HELP!!! Due in 20 minuets

Answers

the one you have selected is right

Answer:

the one you have selected is right

Step-by-step explanation:

Help with this one please

Answers

Answer:

v= 2

Step-by-step explanation:

[tex]6(5 - 8v) + 12 = -54\\30 - 48v + 12 = -54\\- 48v = - 54 - 30 - 12\\-48v = -96[/tex]

[tex]v = \frac{-96}{-48} = 2[/tex]

Answer:

[tex]6(5-8v)+12=-54[/tex]

[tex]=30-48v+12=-54[/tex]

[tex]=-48v=-54-12-30[/tex]

[tex]-48v=-66-30[/tex]

[tex]-48v=-96[/tex]

[tex]-v=-96/48[/tex]

[tex]v=2[/tex]

-----------------------

hope it helps...

have a great day!!

HELP I HAVE 20 MINUTES!!!!!!!!!

At Shoe Line, there are 132 boots, which make up 24% of the shoes in the store. At Shoe Warehouse, there are 120 boots, which make up 15% of the shoes in the store.
Which store has more shoes? Justify your answer by showing your work or the strategy you used.

Answers

Answer:

Shoe warehouse

Step-by-step explanation:

24% of ____ is 132

15% of ____ is 120

first lets solve what there is at shoe line. since 24% times something is 132, something is 132/24%. Since % means out of 100, do 132/24*100 is 550.

Next we do the same thing to get 120/15 * 100 = 800. So, there are more at shoe warehouse.

hope this helped, and brainliest would be appreciated :)

Help plz..And No links!! I repeat No links!!

Answers

Answer:

4

Step-by-step explanation:

if a tellemarketer made 200 phone calls and 35 customers signed up what is the relative frequency of getting a customer and not getting a customer
(PLS ANSWER THIS IS DUE TMR)

Answers

Answer:

82.5% and 17.5%

Step-by-step explanation:

The telemarketer made 200 phone calls and only 35 people signed up. Therefore, we need to find the amount of people who didnt.

200 - 35 = 165

165 people did not sign up.

This meants that the frequency of getting a customer is 35/200 and not is 165/200. In percentages,

The relative frequency of not getting a customer is 82.5%

The relative frequency of getting a customer is 17.5%

Solve for x. Show your work.

Answers

Answer:

x=6

Step-by-step explanation:

The sum of the angles is a right angle, which is 90 degrees

5x+ x+54 = 90

Combine like terms

6x+54 = 90

Subtract 54 from each side

6x+54-54 = 90-54

6x = 36

Divide each side by 6

6x/6 = 36/6

x= 6

The temperature at 12:00 pm was 5oF. The temperature then went down by 1.2oF every hour till 7:00 p.m. What was the temperature at 7 pm?
If you answer and show work I’ll make you brainliest pls help

Answers

Answer:

41.6 degrees (i think, sorry if it's not.)

Step-by-step explanation:

if the amount of time from 12:00 pm to 7:00 pm was 7 hours, you're going to need to take into account that you need to lower 50 degrees 7 times by 1.2 degrees. (50 - 1.2 times 7)

answer correct and fast

Answers

Hello there I hope you are having an great Day :)

1) 32780ml = 32.78

2) 37 1/2% of 24 = 9

Hopefully that helps you :)

Guys that true?
when you’re dividing do you put the bigger number first and then the smaller one or the opposite because you get different answers

Answers

Answer:

it's true for example 10/5=2 or 5/10=0.5

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

You can divide any way you want but commonly you put the bigger number in front.

Step-by-step explanation:

Find the value of x in the triangle shown below.
х
53°
2
97°

Answers

Given:

Consider the below figure attached with this question.

To find:

The value of x.

Solution:

Angle sum property of a triangle: According to this property, the sum of all interior angles of a triangle is 180 degrees.

Using the angle sum property of triangle, we get

[tex]x^\circ+53^\circ+97^\circ=180^\circ[/tex]

[tex]x^\circ+150^\circ=180^\circ[/tex]

[tex]x^\circ=180^\circ-150^\circ[/tex]

[tex]x^\circ=30^\circ[/tex]

Therefore, the value of x is 30 degrees.

What is the value of x?

Answers

Answer:

if we are finding the perimeter it would be x = 24

but if it is area it would be x = 480

Step-by-step explanation:

I GOT A 92 ON MY MATH EXAM AND I DIDN'T STUDY LETS GOOO

btw, I need help on this

if x • y = y, what are the only 2 numbers x can be?

Answers

Answer:

???

Step-by-step explanation:

x*y=y

Well, since y is on both ends of the equation, y could be 0, because anything multiplied by 0 is 0.

So x could be anything.

---

hope it helps

Sophie spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -8.6°F. Between 9am and noon, the temperature rose 4.7°F. Between noon and 3pm, the temperature dropped 13.7°F. Between 3pm and 6pm, the temperature went down 14.1°F. What was the temperature at 6pm?

Answers

Answer:

Step-by-step explanation:

I have the same question :(((

sry

Susysyshdh xhdudhdh do xhxg xhxgx

how do you friend someone

Answers

Answer:

you gotta find a common ground.

Step-by-step explanation:

easiest way to make friends is to relate to people with experiences you share together :)

If your talking about how to friend someone on brainly: Go to the profile of the individual you'd like to invite and press on the Add Friend button and a request will be sent to them.

I hope this helps you make more friends!

Kailey plays video games for x hours a month. Trent plays video games four hours more than Kylie and Megan plays two times more than Trent. Which expression relates the amount of time Megan spends playing video games?

Answers

Answer:

8 + 2x

Step-by-step explanation:

Given that :

Kyle's game time = x

Trent's game time = 4 hours more than Kylie = 4 + x

Megan's game time = 2 times more than Trent ; this equals ; 2 * (4 + x) = 2(4 + x) = 8 + 2x

Write each quadratic expression in standard form. Draw a diagram if needed.
(x+4)(x-1)

Answers

Answer:

The standard form of the quadratic equation is x² + 3·x - 4 = 0

Step-by-step explanation:

The standard form of a quadratic equation is a·x² + b·x + c = 0

Given that the expression of the quadratic equation is (x + 4)·(x - 1) = y, we can write the given expression in standard form by expanding, and equating the result to zero as follows;

(x + 4)·(x - 1) = x² - x + 4·x - 4 = x² + 3·x - 4 = 0

The standard form of the quadratic equation is x² + 3·x - 4 = 0

The graph of the equation created with MS Excel is attached

it takes 2 people 5 hours to plough a field. how long does it take 3 people

Answers

7.5 hours
5/2=2.5
2.5x3=7.5
2=>5
Change hour in to
5x60=300
2=>300
1=>300/2=150
3=>150x3=450
Answer 450s
If in hour
450
Other Questions
The circumference of a circle is 7 ft. Find its diameter, in feet Solve for c.-c/2+43 = 50 The step function f(x) is graphedWhat is the value of f(-1)?0-3O-10 1 Q = {1, 3, 5, 7, 9). Express it in description method and in rule method. Cat In the Rain - 1. Where was the couple staying? Did they know anybody there?2. Who usually visited the public garden near the hotel? Why?3. What was the weather like that day?4. Was there anybody on the square?5. What did the American wife see outside?6. How did her husband react to it? And what did the girl reply?7. Who did she see when she went downstairs?8. What did she like about the hotel-keeper?9. Who opened the umbrella in the doorway for her? Why?10. Was the cat outside?11. What did the girl feel when she was going back to her room?12. What did she say about her hair in the room? What did her husband think about her hair?13. What else did she want?14. Who knocked at their door? Why? Use the Pythagorean theorem to find the unknown side of the right triangle. Is (5, 8) a solution to this system of inequalities?x + y 18x 6 Which is a measure of the missing angle in this triangle? ____ discovered the radioactive element radium. a. Albert Einstein c. Gregor Mendel b. Louis Pasteur d. Marie Sklodowska Curie Please select the best answer from the choices provided A B C D The pollen grains move in water randomly because ofA. The collisionsbetween water particles and pollen grainsB. they dissolve in waterC. the gravit write a dialogue between two friends on role of media for society CRITICAL THINKING 1. Name three things you could do each day to pro- duce less waste. 2. Explain how buying certain products can help reduce solid waste. 5. Analyzing Methods What are the advantages and disadvantages to producing degradable plastics? 6. Demonstrating Reasoned Judgement Read the Case Study in this section and decide which type of bag you would choose the next time you go shop- ping. Explain why you made this choice. What are other uses of the bag you chose? READING SKILLS 3. Describe the steps it takes to recycle a piece of plastic 4. List two benefits of composting. Please help me ASAP the four most common chemical elements found in living matter are1,C,H,O,P2,C,H,O,N3,C,H,N,P4,C,H,O,S5,C,H,O,Ca Bugs invites Bud to go to _______ with him. a. Pennsylvaniab. Californiac. Arizonad. New York cityThis is from the book, "Bud, not Buddy"PLEASE DO NOR ANSWER IF YOU DO NOT KNOW RHE ANSWER. Explain the cause of quick population growth in poor and underdeveloped country HELP NEEDED I'LL GIVE BRAINLIESTKites: Birds of GloryAs a rule, raptors, or birds of prey, are among the most admired and adored birds in the world. From the California condor to the snowy owl, few birds compare to the tigers of the air: the great hunters whose beauty and skill have inspired art and literature for centuries. The most glorious feathers of the peacock or the vibrant plumage of a bunting cannot compete with the power of a peregrine falcon or the determination of an osprey. Included in this group of hunters, however, is one bird of prey that is little known but equally impressive. The kites of the world are generally smaller than most raptors, but just as astonishing in skill and grace as any other hunter of the skies.Most people think of paper or cloth structures flown with string from the ground when the word 'kite' is used. In addition to these popular toys, kite can also refer to a type of raptor. Kites have a small head, a short beak and long narrow wings and tail. Kites can be found all over the world in mostly warm regions. Kites live on a variety of preyfrom insects to small rodents or reptiles. Some kites eat only one kind of prey. Kites are generally masterful in the air and represent a group of birds that are among the most acrobatic of fliers.Two of the most familiar kites in the Southern United States are the swallow-tailed kite and the Mississippi kite. The Mississippi kite is rather plain to look at: a light brown and gray body with a buff or white colored head. But to watch a Mississippi kite fly is to watch a ballet in the air. These raptors eat primarily flying insects, so they do most of their hunting on the wing. As you might imagine, catching flying insects requires a great deal of agility and speed. If you are lucky enough to see one in flight, you will be amazed at the quick turns, graceful moves, and speedy pursuits of this bird. Look for them above large fields, especially during the summer.The swallow-tailed kite, also common in the South, is more easily identifiable and often seen flying over roads. With black wings and tail, white head and body, and a forked or swallow-like tail, this raptor is just as acrobatic as the Mississippi kite. Swallow-tailed kites like flying over highways in the summer as they can take advantage of the thermals, or columns of warmed air, that rise above the pavement. Once they have climbed to sufficient height, swallow-tails will glide, looking for snakes and reptiles and insects. They also eat small rodents, frogs, and other birds on occasion. Watching a swallow-tail fly is a lot like watching a gymnast perform a floor routine. Rarely flapping its wings, it uses its forked tail to make sharp turns, trace circles in the sky, or simply maintain a heading. Skilled, accomplished, and graceful, this bird is as entertaining as it is beautiful.Both kites are known to eat while flying, unlike most other birds of prey. This practice conserves energy and allows them to hunt almost continuously. While these kites are not listed as endangered, they are rare and in some states are listed as critical. Loss of habitat is the main reason for the decline. If you are lucky enough to see one, count yourself among the few. These magnificent birds are a sight you won't soon forget.How does the author develop the idea that kites are skillful fliers? Use details and quotations from the text to support your answer. Rewrite 5ab showing the multiplication signs plz help me solve this question is it A,B,C or D Please help and fast!!!!( i accidently clicked an answer)