Write down what you know from the markings
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Given

[tex]\vec v = f(x,y,z)\,\vec\imath+g(x,y,z)\,\vec\jmath+h(x,y,z)\,\vec k \\\\ \vec v = \sin(x)\cos(y)\tan(z)\,\vec\imath + x^2y^2z^2\,\vec\jmath+x^4y^4z^4\,\vec k[/tex]

the curl of [tex]\vec v[/tex] is

[tex]\displaystyle \nabla\times\vec v = \left(\frac{\partial h}{\partial y}-\frac{\partial g}{\partial z}\right)\,\vec\imath - \left(\frac{\partial h}{\partial x}-\frac{\partial f}{\partial z}\right)\,\vec\jmath + \left(\frac{\partial g}{\partial x}-\frac{\partial f}{\partial y}\right)\,\vec k[/tex]

[tex]\nabla\times\vec v = \left(4x^4y^3z^4-2x^2y^2z\right)\,\vec\imath \\\\ - \left(4x^3y^4z^4-\sin(x)\cos(y)\sec^2(z)\right)\,\vec\jmath \\\\ + \left(2xy^2z^2+\sin(x)\sin(y)\tan(z)\right)\,\vec k[/tex]

[tex]\nabla\times\vec v = \left(4x^4y^3z^4-2x^2y^2z\right)\,\vec\imath \\\\ + \left(\sin(x)\cos(y)\sec^2(z)-4x^3y^4z^4\right)\,\vec\jmath \\\\ + \left(2xy^2z^2+\sin(x)\sin(y)\tan(z)\right)\,\vec k[/tex]

Answer: (10,5) and (0,5)

Step-by-step explanation:

Answer:

-1/2  ,  3

Step-by-step explanation:

In order to find the roots of the function 2x² - 5x - 3  

We have to solve the quadratic equation :

2x² - 5x - 3 = 0

Calculating the discriminant Δ :

Δ = b² - 4ac

  = (-5)² - 4(2)(-3)

  = 25 + 24

  = 49

Then

√Δ = √49 = 7

Determining the Zeros :

[tex]x=\frac{-b+\sqrt{b^{2}-4ac} }{2a} = \frac{5+7} {2 \times (2)} =\frac{12}{4} =3[/tex]

or

[tex]x=\frac{-b-\sqrt{b^{2}-4ac} }{2a} = \frac{5-7} {2 \times (2)} =\frac{-2}{4} =\frac{-1}{2}[/tex]

Johannesburg's sister is 54cm tall

Explanation:

3/5 = 0.6

0.6 * 90 = 54

54 is 3/5 of 90, therefore Johannesburg's sister is 54cm tall

9514 1404 393

Answer:

  76

Step-by-step explanation:

For some common difference d, the terms of the progression are ...

  k = 3 +d

  w = k +d = 3 +2d

  18 = w +d = 3 +3d

Solving for d, we get ...

  15 = 3d . . . . subtract 3

  5 = d . . . . . . divide by 3

Now, we can find ...

  3k +4w = 3(3 +d) +4(3 +2d) = 9 +3d +12 +8d = 21 +11d

  3k +4w = 21 +11(5) . . . . substitute for d

  3k +4w = 76

Answer:

100

Step-by-step explanation:

anything lower then 4 stays anythiing 5 or higher is rounded

so this also works with 40 50 400 500 4000 5000, you gte the point

oodluck on your test or homework! :)

Answer:

-5,-4,-3,-2,-1,0,1,2,3,4,5

-5 देखि+5सम्म 11 पुर्ण सङ्ख्याहरु छन्

mark me as brainliest

9514 1404 393

Answer:

  T, T, F, F, T

Step-by-step explanation:

First of all, it is helpful to know ...

  √8 ≈ 2.8284

  √7 ≈ 2.6458

Now you can check the inequalities:

0, 1, 2, and √7 are left of √8 on a number line, so are all less than √8.

3 and 8 are right of √8 on a number line, so are greater than √8.

Answer:

T, T, F, F, T.

Step-by-step explanation:

Person above is correct!!

Answer:

The perimeter of it is going to be 50

Step-by-step explanation:

This is because when finding the perimeter you add up all the sides so

14 + 12 + 18 + 6 = 50

Answer:

50 m

Step-by-step explanation:

Perimeter

= Sum of the length of all sides

= 14 m + 12 m + 6 m + 18 m

= 50 m

Answer:

1/4

Step-by-step explanation:

Answer:

[tex]29[/tex]

Step-by-step explanation:

Let x be the original price.

( 1 - 20% ) x = 23.2

[tex] 0.8x = 23.2[/tex]

[tex] \frac{0.8x}{0.8} = \frac{23.2}{0.8} [/tex]

[tex] x = 29[/tex]

I'll get 32 jelly beans

Amount of jelly beans shared = 56

My fraction = 4/(4+3) = 4/7

My sister's fraction = 3/(4+3) = 3/7

The number of jelly beans that I'll get will then be:

= My fraction × Number of jelly beans

= 4/7 × 56

= 4 × 8

= 32

Therefore, I'll get 32 jelly beans

Read related link on:

https://brainly.com/question/24159535

Answer:

» B. 3- (+22) and C. 3 + (-22)

» A. 3- (-22) and E. 22 + 3

» D. 22 - 3 and H. 22 +(-3)

Step-by-step explanation:

[tex].[/tex]

Answer:

3 - (+22)

3 + (-22)

-22 + 3

Step-by-step explanation:

Answer:

[tex]take \: the \: number = x \\ thenx \times 6 = 2 \times 19 \\ \\ 6x = 38 \\ x = \frac{38}{6} \\ x = 6.33 \\ thank \: you[/tex]

9514 1404 393

Answer:

  a) see attached

  b) Each successive figure has one more tile at the end of each leg.

  c) 201, the number of tiles is 2n+1 for figure n.

Step-by-step explanation:

a) The attachment shows the next two figures

__

b) The pattern adds one more tile at the end of each leg than the previous figure had. This rule matches the figures shown.

__

c) The rule found in part B means that Figure N will have 2N+1 tiles, the N tiles in each leg plus the one where the legs meet.

Figure 100 will have 2(100) +1 = 201 tiles

Answer:

7/60 acres

Step-by-step explanation:

60 pounds of seed = 7 acres

We want to find acres per pound of seed, so we want to make one side of the equation equal to 1 pound of seed. To do this, we can divide both sides by 60, as anything divided by itself equals 1. We thus have

60/60 pounds of seed = 7/60 acres

1 pound of seed = 7/60 acres

The fraction that represents the total number of seats occupied during the three days is 1.

The total number of seats in the auditorium is 200.

On day 1, 40% of the seats were occupied. So, 40/100 * 200 = 80 seats were occupied on day 1.

On day 2, 35% of the seats were occupied. So, 35/100 * 200 = 70 seats were occupied on day 2.

On day 3, 25% of the seats were occupied. So, 25/100 * 200 = 50 seats were occupied on day 3.

The total number of seats occupied during the three days is 80 + 70 + 50 = 200 seats.

The fraction that represents the total number of seats occupied during the three days is 200/200 = 1.

Here is the solution in mathematical form:

Let x be the fraction that represents the total number of seats occupied during the three days.

Then, x * 200 = 80 + 70 + 50

x = (80 + 70 + 50) / 200

x = 1

Therefore, the answer is 1.

To learn more about fraction here:

https://brainly.com/question/10354322

#SPJ2

Answer:

Think of two or three jobs with which you are familiar, perhaps a teacher, a retail worker, a nurse, or a police officer.

In each case, indicate why the employment contract is necessarily incomplete. What important parts of the person’s job—things that the employer would like to see the employee do or not do—cannot be covered in a contract, or if they are, cannot be enforced?

Step-by-step explanation:

Step-by-step explanation:

1. 3cm, 5cm, 7cm

2. 7cm, 7cm, 12cm

Step-by-step explanation:

No of Student in Debre Berhan University - 80 students

No of students good in mathematics and English -15

no of student good in mathematics -45+15+13

therefore no of student good in math is 75 .

pls mark me branilest

Answer:

Step-by-step explanation:

Can we get the Answer's to see. Thanks.

Step-by-step explanation:

Using the properties of logarithms, the left side of the equation becomes

[tex]\log{3x^3} - \log{x^2} = \log{3x}[/tex]

while the right hand side becomes

[tex]\log{27} - \log{x} = \log{\frac{27}{x}}[/tex]

so we end up with

[tex]3x^2 =27 \Rightarrow x = 3[/tex]

Answer:

38.75

Step-by-step explanation:

perimeter = 2(15.6+3.8) =38.8

lower bound = the smallest value that would round up to the estimated value =38.75

Answer:

tero bau ko tauko got it sjdhhrurjrbr

Answer:

LHS=6x/12x=6/12=1/2

RHS=1/2

LHS=RHS

Answer:

640 dm

Step-by-step explanation:

200+40+400=640dm