"Given a two-dimensional vector field F and a smooth oriented curve C, what is the meaning of the flux of F across C? Choose the correct answer below A. The flux of F across C is the sum of the components of F tangent to C at each point of C. B. The flux of F across C is the component of F tangent to C at a point P on C C. The flux of F across C is the component of F orthogonal or normal to C at a point P on C. D. The flux of F across C is the sum of the components of F orthogonal or normal to C at each point of C. "

Answer:

Are u asking what 10 +19 is its 29

Given:

Points A(-2,-1) and B(-6,5).

Point C which is 2/3 from point A to point B.

To find:

The y-coordinate of point C.

Solution:

Let the coordinates of point C are (a,b).

Point C which is 2/3 from point A to point B.

AC:AB = 2:3

AC:CB = AC:(AB-AC) = 2:(3-2) = 2:1

Section formula: If a point divides the line segment in m:n, then then

\(Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)\)

Point C divides AB in 2:1, soby section formula

\(C=\left(\dfrac{2(-6)+1(-2)}{2+1},\dfrac{2(5)+1(-1)}{2+1}\right)\)

\(C=\left(\dfrac{-12-2}{3},\dfrac{10-1}{3}\right)\)

\(C=\left(\dfrac{-14}{3},\dfrac{9}{3}\right)\)

\(C=\left(\dfrac{-14}{3},3\right)\)

Therefore, the y-coordinated of point C is 3.

Answer:

The supplement is 102

Step-by-step explanation:

Supplementary angles add to 180 degrees

Let x be the supplement

x+ 78 = 180

subtract 78 from each side

x+78-78 = 180-78

x = 102

Answer:

102

Step-by-step explanation:

Answer:

a(4,3).  b( 2,3). c(4,-1). d(-2,-1/2).  e(5/2, 0).

Step-by-step explanation:

Hello , I can help you with that

the mid point is given by

Let

Point 1

\((x_{1},y_{1})\)

Point 2

\((x_{2},y_{2})\)

the midpoint is(m)

\(m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\)

all you have to do is to put those values into the equation

Step 1

P1(3,4)  and P2(5,2)

\(m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{3+5}{2},\frac{4+2}{2} )\\m=(\frac{8}{2},\frac{6}{2} )\\m=(4,3)\)

Step 2

P1(0,6) and P2(4,0)

\(m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{0+4}{2},\frac{6+0}{2} )\\m=(\frac{4}{2},\frac{6}{2} )\\m=(2,3)\)

Step 3

P1(4,2) and P2(4,-4)

\(m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{4+4}{2},\frac{2-4}{2} )\\m=(\frac{8}{2},\frac{-2}{2} )\\m=(4,-1)\)

Step 4

P1(-1,-5) and P2(-3,4)

\(m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{-1-3}{2},\frac{-5+4}{2} )\\m=(\frac{-4}{2},\frac{-1}{2} )\\m=(-2,\frac{-1}{2} )\)

Step 5

P1(-3,2) and P2(8,-2)

\(m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{-3+8}{2},\frac{2-2}{2} )\\m=(\frac{5}{2},\frac{0}{2} )\\m=(\frac{5}{2} ,0)\)

I really hope it helps you, have a nice day

Answer: 132 Liters

Step-by-step explanation:

Ap ex

Answers:

Experimental probability =  5/12

Theoretical probability = 5/36

========================================================

Explanation:

The experimental probability, aka empirical probability, is what we observe to happen. The event of rolling a six happens 5 times out of 12 total rolls. That leads directly to the experimental probability of 5/12

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

The theoretical probability is based on predetermined odds, and can be done on paper rather than actually rolling the dice.

There are 6*6 = 36 ways to roll two dice. Of those 36 ways, we have these cases that add to 6

There are five ways to add to 6, out of 36 outcomes total.

This means the theoretical probability of getting a sum of 6 is 5/36

Answer:

All in order:

YES

NO

NO

NO

Step-by-step explanation:

-54 ≤ 7(-7) - 5 YES because the sign says greater than or equal to (in the image)

-54 ≤ 7(5) - 5 NO

-54 ≤ 7(7) - 5 NO

-54 ≤ 7(-9) - 5 NO

Answer:

do you hvae more imformation

Step-by-step explanation:

The total number of signals that can be made using 5 flags from 8 flags of different colors is 6720.

Permutations:

A permutation is an act of arranging the objects or numbers in order.

The formula for permutations is:

nPr = n!/(n-r)!

where

nPr = permutation

n = total number of objects

r = number of objects selected

Combinations:

Combinations are the way of selecting the objects or numbers from a group of objects or collection, and the order of the objects does not matter.

The formula for combinations is:

nCr = n!/[r! (n-r)!]

Where,

nCr  = number of combinations

n = total number of objects in the set

r = number of choosing objects from the set

Given,

Here we need to find how many different signals can be made with 5 flags from 8 flags of different colors.

The number of ways that 5 flags can be selected is the combination of 8 flags taken 5 at a time.

After choosing 5 flags from 8, it can be arranged in

=> ₅P₅ ways = (5!)

Therefore, the total number of signals that can be made is

=> ₈C₅ x  ₅P₅

=> (8!/(8-5)!5!) x 5!

=> (8! / 3!)

=> 40320 / 6

=> 6270

Therefore, the total number of signals that can be made is 6270.

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Answer:

You start at the Y Intercept of 2, then you go up 2 units, and to the left 3 units.  You will then make a line.

Step-by-step explanation:

Since it is not a negative slope, it will point to the top right corner.

Answer:

x = -0.6

Step-by-step explanation:

Step 1: Write equation

-6x = 3.6

Step 2: Divide both sides by -6

-6x/-6 = 3.6/-6

x = -0.6

Answer:

8.06 feet

Step-by-step explanation:

use the Pythagorean theorem

9^2 = 4^2 + x^2

81 =16 +x^2

x^2 = 65

x = 8.06 feet

Answer:

30 cm

Step-by-step explanation:

\(Vol. of a sphere (4/3) \pi r^3=36000 \pi \\r^3=36000*3/4=27000\\r=30 cm\\\)

Answer:

34

Step-by-step explanation:

The average number of viewers over the two weeks written in scientific notation is 3.85 × 10^8. option C

Average number of viewers over the two weeks = (First week + Second week) / 2

= {(3.6 x 10⁴) + (4.1 x 10⁴)} / 2

= {3.6 + 4.1 × 10^(4×4) } / 2

= (7.7 × 10^16) / 2

= 3.85 × 10^8

Therefore, the average number of viewers over the two weeks written in scientific notation is 3.85 × 10^8.

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Answer:

y=-8 or y=8

Step-by-step explanation:

First you swap the sides of the question:

y^2=64

then you simplify the equation and take the square root of both sides of the equation and remember to use both positive and negative roots:

y= + 8 (make sure the "+" has the line under it that looks like this _)

Then you separate the solution and write the solutions, with a + sign and - sign, which gives you your solution:

y=-8

y=8

or

y1=-8 , y2=8

The correct answer is S = {A, D, D, I, T, I, O, N}.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.

The sample space is the set of all possible outcomes of an experiment or event.

In this case, the experiment is choosing one card from a set of eight labeled cards.

The sample space for this experiment is the set of all possible cards that can be chosen.

In the given problem, there are eight cards labeled A, D, D, I, T, I, O, N.

The sample space is the set of all possible cards that can be chosen, which is {A, D, D, I, T, I, O, N}.

This is because each card is distinct and can be chosen independently of the others.

Therefore, the correct answer is S = {A, D, D, I, T, I, O, N}.

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Answer: A( A,D, D,I, I,N,O,T)

Step-by-step explanation:

Order does not matter!!

C. True, because to use the Law of Sines, at least two sides must be known.

The Law of Sines is a trigonometric rule that relates the sides and angles of any triangle. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle.

To use the Law of Sines, at least two sides and the angle opposite one of them (or two angles and one side) must be known.

Therefore, the statement "The Law of Sines can be used to solve triangles where three sides are known" is false, as it is not necessary to use the Law of Sines to solve a triangle where all three sides are known.

In summary, the correct answer is C. True, because to use the Law of Sines, at least two sides must be known.

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Answer:

24 centimetre

hope it is helpful

Answer:

Step-by-step explanation:

She starts with $750.

Convert the percent to a decimal.

0.0015

Multiply.

0.0015 * 365

$1160.63

Answer:

37.50 square centimeters

Step-by-step explanation:

The computation of the area of the sector is as follows:

As we know that

Area of the circle is

= πr^2

Since the radius is 10 cm so the area of total circle is

= 3.14 × 100

= 314

Also it is 360 degrees  

So, the area of the sector is

= 135 ÷ 360 × 1200

= 37.50 square centimeters

Answer:

\(2\sqrt{3}+3\)

Step-by-step explanation:

\($\frac{3}{2 \sqrt 3 - 3}$\)

Rationalize the fraction.

\($\frac{3}{2 \sqrt 3 - 3}\cdot \frac{2 \sqrt 3 + 3}{2 \sqrt 3 + 3} =\frac{6\sqrt{3}+9 }{12-9} =\frac{6\sqrt{3}+9 }{3} =2\sqrt{3}+3 $\)

Note that I used the positive signal because we would have a difference of squares.

Answer:

$86.36

Step-by-step explanation:

Tax: 7%, or 0.07

Tip: 20%, or 0.2

Substitute the values:

Tip: 68 * 0.07 = 4.76

Tip: 68 * 0.2 = 13.6

Just the meal cost: 1 * 68 = 68

Add these all together

4.76 + 13.6 + 68 = 86.36

Thus, the total cost of the meal would be $86.36

The probability that you are not one of the first four students chosen is 0.75 or 75%.

For the first selection, the probability that you are not chosen is:

(16 - 1) / 16 = 15 / 16

For the second selection, the probability that you are not chosen is:

(16 - 1 - 1) / (16 - 1) = 14 / 15

For the third selection, the probability that you are not chosen is:

(16 - 1 - 1 - 1) / (16 - 1 - 1) = 13 / 14

For the fourth selection, the probability that you are not chosen is:

(16 - 1 - 1 - 1 - 1) / (16 - 1 - 1 - 1) = 12 / 13

To find the probability that you are not one of the first four students chosen, we multiply these probabilities together:

(15/16) x (14/15) x (13/14) x (12/13) = 0.75

Therefore, the probability that you are not one of the first four students chosen is 0.75 or 75%.

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Hey there! I'm happy to help!

If you run at a speed of 6 mph, you are running 6 miles every hour. This means you multiply the number of hours by six to find your total mileage, which can be written as 6h miles.

Have a wonderful day! :D

The distance cover by runner will be 6h miles.

What is mean by Speed?

The speed of an object is defined as;

⇒ Speed = Distance / Time

Given that;

Time for run = h hour

Speed for run = 6 miles per hour

Now,

Since, We know that;

Speed = Distance / Time

Distance = Speed x Time

Substitute all the values, we get;

Distance = Speed x Time

Distance = 6 x h

Distance = 6h miles.

Thus, The distance cover by runner will be 6h miles.

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Answer: y=-2x+5

Step-by-step explanation:

I am not sure if this is exactly what you are asking but all you have to do is plug the variables into the formula y=mx+b

Which should give you the above answer of y=-2x+5

Answer:

y = 15 and x = 22

Step-by-step explanation:

700 = 25x + 10y

x = y + 7

700 = 25(y +7) + 10y

700 = 35y + 175

525 = 35y

15 = y

700 = 25x + 150

550 = 25x

22 = x

To make a table of values for a linear relationship;

Choose a group of x values before creating the table. Add each x value from the left side column to the equation. Evaluate the equation (middle column) to arrive at the y value

Given,

Linear relationship;

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Linear relationships can be represented graphically or mathematically as the equation y = mx + b.

Here,

We have to make a table of values for a linear relationship;

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The expression 8 × 1 can be written as 8 × 1 = 8, and it is the property of identity property of multiplication so, option A is correct.

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Given:

The expression is 8 × 1 = 8

As you can see that the multiplication of any number with the number will give the number in the result as shown below,

For example, 7 × 1 = 7

8 × 1 = 8

Thus, it is an Identity property of multiplication.

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The terms that match the definitions are the index of quality variation, variance, range,  interquartile range, lower quartile, upper quartile, standard deviation, and measures of variability.

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