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:
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:
it takes 2 people 5 hours to plough a field. how long does it take 3 people
Points Points Points
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?
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.
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
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
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.
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
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
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)
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?
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.
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hope it helps
Help plz..And No links!! I repeat No links!!
Answer:
4
Step-by-step explanation:
answer correct and fast
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 :)
What is the value of x?
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:
how do you friend someone
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!
whats the missing leg?
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
Evaluate 2n-6+5k/3(n-9) when n=4 and k=12
[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]
If the square root of n = 3/2, what is the negative square root of n ?
Answer:
use math.way
Step-by-step explanation:
has the answers
Which of the following pairs of lines are not parallel?
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 :(
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
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:
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
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 :)
Find the value of x in the triangle shown below.
х
53°
2
97°
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.
Solve for x. Show your work.
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
Write each quadratic expression in standard form. Draw a diagram if needed.
(x+4)(x-1)
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
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.
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
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?
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
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.
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:
HELP!!! Due in 20 minuets
Answer:
the one you have selected is right
Step-by-step explanation:
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?
Answer:
Step-by-step explanation:
I have the same question :(((
sry
(7x-3y)/(y-2x) = -(3/5).
Find the value of x/y.
Answer:
x = 12 y y = 29x
29 12
Step-by-step explanation:
Help with this one please
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]
[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!!
ASAP
-WILL MARK BRIANIST
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.
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.
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 :)
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)
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%