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:
what is the algebraic expression of the difference of 4 times a and b?
Answer:
4(a+b)
Step-by-step explanation:
simplify (2 3/5-1 2/3)×5/8
Answer & Step-by-step explanation:
Simplify the expression.
Exact Form:
7/12
Decimal Form:
0.583
Hope this Helps!!! :)
If you have any questions contact me in the comment section below!
what difference is there please tell me in a mathematical way
NEED HELP 100 POINTS PLZZ
Replace the x with n:
f(n) = 2n+1
Feel free to mark it as brainliest :D
Answer:
Step-by-step explanation:
given f(x) = 2x + 1
f(n) = 2n + 1
by substitution: n replaces x in the eqn
I need the answer Immediately before it’s due!!!!!!!!
If using the method of completing the square to solve the quadratic equation x^2+5x+10=0x 2 +5x+10=0, which number would have to be added to "complete the square"?
Answer:
(5/2)² must be added to the equation to complete the square.
Step-by-step explanation:
The given equation is
x^2+5x+10=0
writing it in in square form
(x)² + 2(x) (5/2) + (5/2)²-(5/2)² + 10= 0
We multiply (5/2) to the mid term because we have to make 2x equal to 5x.
As the square formula tells that square of first element plus 2 into first element multiplied by second element plus square of second element.
Making 2x equal to 5x gives (5/2) as the second element.
Therefore add square of the second element but also subtract square of second element to make it equal to the given original equation.
Now we can solve it.
(x)² + 2(x) (5/2) + (5/2)²-(5/2)² + 10= 0
(x + 5/2)²-(5/2)² + 10= 0
(x + 5/2)²- 25/4+ 10= 0
(x + 5/2)²- 25*5 +10*5/4*5= 0
(x + 5/2)²- 125+50/20= 0
(x + 5/2)²- 175/20= 0
(x + 5/2)²= 175/20
SOLVE 23 ASAP PLEASE!!
A = ( - 3 , 2 ) ..**&**.. B = ( 4 , 5 )
_________________________________
Slope = [ y(B) - y(A) ] ÷ [ x(B) - x(A) ]
Slope = [ 5 - 2 ] ÷ [ 4 - ( - 3 ) ]
Slope = [ 3 ] ÷ [ 4 + 3 ]
Slope = 3 ÷ 7
Slope = 3/7
_________________________________
y - y(A) = Slope × ( x - x(A) )
y - 2 = 3/7 × ( x - ( - 3 ) )
y - 2 = 3/7 ( x + 3 )
y - 2 = 3/7 x + 9/7
y = 3/7 x + 9/7 + 2
y = 3/7 x + 9/7 + 14/7
y = 3/7 x + 23/7
A spinner has 8 equal-sized sections. Six of the sections are green. What is the probability that the spinner will land on green?
_________ out of 8 or ________%
Answer:
6/8
Step-by-step explanation:
or to simplify it, it would be 3/4
The probability that the spinner will land on green is 6 out of 8 or 75%.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given that,
Number of equal sections on the spinner = 8
Number of sections which are green = 6
Probability can be calculated as the ratio of number of desired outcomes to the total number of outcomes.
Here,
Desired outcome is the spinner landing on green.
Probability = 6/8 = 0.75 = 75%
Hence the probability is 6 out of 8 or 75%.
Learn more about Probability here :
https://brainly.com/question/29027275
#SPJ3
Solve the system of equations.
Answer:
x = 2, y = 1
Step-by-step explanation:
x + 3y = 5
3y = -x + 5
y = -1/3x + 5/3
-x + 6y = 4
-x + 6(-1/3x + 5/3) = 4
-x - 2x + 10 = 4
-3x = -6
x = 2
x + 3y = 5
2 + 3y = 5
3y = 3
y = 1
Solve for x Show your work
Answer:
x = 12
Step-by-step explanation:
To solve this and show your work, you have to start of with the equation (3x - 6) = 30.
You then have to add 6 to both sides like this:
[tex](3x - 6) = 30 \\ \: \: \: \: \: \: \: \: \: \: + 6 \: \: \: \: \: + 6 [/tex]
So then the 6 is cancelled out, and you are left with
3x = 36.
Now you just have to divide both sides by 3 like this:
[tex] \frac{3x}{3} = \frac{36}{3} [/tex]
Which cancels 3 out, and you are left with
x = 12.
Options
26%
40%
90%
50%
Answer:
not so sure but i guess its 50%... i am so sorry if it is wrong..if it is wrong dont forget to tell me the right answer(:
Can you please help solve and find value of x!
Answer:
32º
Step-by-step explanation:
Solve for sin(x). Then use inverse sine to get your angle measurement. From there, convert radians to degrees by multiplying by 180/π.
sin (x) = opp/hyp = 8/15
sin-1(8/15) = x = 0.56253 radians
0.56253 radians * 180/π = 32.23º
Round this to 32º
A survey of 125 freshmen business students at a local university produced the results listed below. How many students took history and math, but not music? 30 took history; 32 took math; 33 took music; 14 took history but not math; 9 took math and music; 13 took history and music; 2 took all three
Answer:
Total Number of students taking Math and History and not music are 68.
Number of students who took both math and history at the same time is 6.
Step-by-step explanation:
History = 30
Math = 32
Music= 33
Math and Music= 9
History and Music= 13
History and Music and Math = 2
History but not math = 14
We have to find students taking history and math but not music.
Total number of students = 125
From the figure number of students taking Math and History and not music are
=30+6+32= 68
Number of students who took both math and history at the same time is 6.
In the diagram below, OP is circumscribed about quadrilateral ABCD. What is
the value of x?
Α. 88
Β. 82
C. 98
D. 90
Answer:
82°
Step-by-step explanation:
That is the correct answer to put it simply
The measure of x from the quadrilateral inscribed inside the circle is given by x = 82°
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the circle be represented as P
Now , the quadrilateral inscribed inside the circle be ABCD
where the measure of m∠A = 98°
The measure of m∠B = 90°
Now , the opposite angles of a quadrilateral inscribed inside a circle are supplementary
So , measure of ∠A + measure of ∠C = 180°
On simplifying , we get
98° + x° = 180°
Subtracting 98° on both sides , we get
x = 180° - 98°
x = 82°
Therefore , the measure of x is 82°
Hence , the value of x of the quadrilateral inside circle is 82°
To learn more about circle click :
https://brainly.com/question/28391204
#SPJ7
4. Up until the last game, Sellina has made 75% of her free-throws. If she continues
to make her free-throws at this rate, what is the probability that she will make the
next two free-throws in the next game?
Answer:
0.5625 = 56.25% probability that she will make the next two free-throws in the next game.
Step-by-step explanation:
For each free throw, there are only two possible outcomes. Either Sellina makes it, or she misses. The probability of making a free throw is independent of any other free throw. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
75% of her free-throws.
This means that [tex]p = 0.75[/tex]
What is the probability that she will make the next two free-throws in the next game?
This is P(X = 2) when n = 2. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(0.75)^{2}.(0.25)^{0} = 0.5625[/tex]
0.5625 = 56.25% probability that she will make the next two free-throws in the next game.
Please help
LOLZ PLEADE BE WUICCKK
Answer:
answer is 30π cm
Step-by-step explanation:
use formula=2πr
=2*π*r
=2*π*15
=30π
Answer:
30[tex]\pi[/tex]
Step-by-step explanation:
So there is one thing we need to remember to solve thi:
circumfernce = 2[tex]\pi[/tex]r.
We know r(radius) is 15.
Lets plug that in:
2[tex]\pi[/tex]15
Multiply the 2 and 15 together:
30[tex]\pi[/tex]
So, depending on your math teacher, or math question, you might be required to write this in a different form.
So in your case, it seems the answers are written in terms of [tex]\pi[/tex], however sometimes you need to multiply your number by
30[tex]\pi[/tex]
Or
94.248
Looking at your answers, it seems 30[tex]\pi[/tex] is the third answer down.
Hope this helps! :D
find the value of x
answers
118
62
82
28
Answer:
118°
Step-by-step explanation:
Don't think the answer is 62° this time both 118° and angle x are congruent.
What do I mean by that? Both angles measure the exact same thing.
The only difference is their line length (n) and (m).
AB and BC are perpendicular line segments but I need help !! Please help me out
Answer:
Step-by-step explanation:
A = (4 , 6)
B = (7 , 4)
C= (5 , 1)
Help is all I need..
Answer:
[tex] {(x - 1)}^{2} = 16 \\ x - 1 = |4| \\ x = |4| + 1[/tex]
x = +4 +1
x = +5
and
x = -4 + 1
x = -3
can some help me with this
(you can pick more than one for each column)
Answer:
no no nlnnlnl
Step-by-step explanation:
no sorryyy
I need help with this
Answer: 25%.
Step-by-step explanation:
There are 12 marbles in total, with 3 being red. 3 in 12 = 1/4 = 25%.
.. Solve using substitution.
2x - 5y = 12
x = -9
Answer:
2x–5y = 12
2(–9)–5y = 12
–18–5y=12
–5y=12+18
–5y=30
y= –30/5
y= – 6
(x,y) —> (–9,–6)
1. If Gallup, Harris and other pollsters asked people to indicate their political party affiliation as Democrat, Republican or Independent, the data gathered would be an example of which scale of measurement
Answer:
im not sure but i think its a bargraph if the answer is coreect please tell
Jasmine recorded the number of minutes she spent doing homework each day during the months of March and April.
The box plot shows her data for March.
Answer:
5647
Step-by-step explanation:
You go to the store and get some chips to kill your dad
i will give brainliest if you solve #11 please and thank you!!!
Answer:
[tex]A)~ 39.6[/tex] %----------------
[tex]Total~ number~ of~ students:-[/tex]
[tex]42+58+20+84+41+5[/tex]
[tex]=250[/tex]
[tex]soccer=58+41[/tex]
[tex]=99[/tex]
[tex]99/250*100[/tex]
[tex]=0.39*100[/tex]
[tex]=39[/tex]
------------------------
hope it helps...
have a great day!!
(NR) Natural Resources:Question 10
Which statement best describes why large aquifers of groundwater are distributed unevenly
around the earth?
Answer: D) Groundwater collects only where the soil and geological features allow water to seep down into underground chambers.
In other words, as long as there are gaps to allow water through, then that would lead to underground aquifers. Another important component is the amount of rain water that happens. Sources such as rivers, lakes and streams are also a contributing factor.
Stuff like earthquakes, volcanic activity, and continental movement doesn't really have much an effect on where or how aquifers form. It's really all about the soil type and how the landscape is formed, and of course the other factors mentioned in the previous paragraph.
The double box-and-whisker plot shows the numbers of correct answers on a test for each student in Room 212 and Room 214.
(a) Compare the populations using measures of center and variation.
(b) Express the difference the measures of center as a multiple of each measure of variation.
Answer:
Kindly check explanation
Step-by-step explanation:
Using the Median (measure of center) and range
Room 212 :
Median = 20
Range = maximum - minimum = (22 - 15) = 7
Interquartile range = Q3 - Q1
Q3 = 21
Q1 = 19
IQR = 21 - 19 = 2
ROOM 214 :
Median = 22
Range = maximum - minimum = (25 - 16) = 9
Interquartile range = Q3 - Q1
Q3 = 23
Q1 = 20
IQR = 23 - 20 = 3
When the log (of the same base) is the outermost step on both sides of the equation, the logs ___.
1. are added
2. are divided
3. are subtracted
4. cancel out
5. are multiplied
Answer:
cancel out
Step-by-step explanation:
Is the ordered pair (5,-6) a solution of the following system of linear equations?
6x + 3y = 12
4x + y = 14
A) No, the ordered pair is not a solution.
B) Yes, the ordered pair is a solution.
WILL GIVE BRAINLIEST IF ANSWERED CORRECTLY
Answer:
A) 13.4 feet
Step-by-step explanation:
You need to use the Pythagorean theorem:
L = [tex]\sqrt{6^2+12^2}[/tex] = 13,4 feet