How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!

the curl of the vector field F is given by:

curl\(F = (7 - 6z^2 e^{z3}) i - 6x^2 j + (6y^2 cos(y^3) + 1) k\)

The curl of a vector field F = F1 i + F2 j + F3 k is given by the following expression:

\(curl F = (∂F3/∂y - ∂F2/∂z) i + (∂F1/∂z - ∂F3/∂x) j + (∂F2/∂x - ∂F1/∂y) k\)

In this case, we have:

\(F = (6z + 6x^3) i + (2y + 7z + 7 sin(y^3)) j + (6x + 7y + 2e^{z3}) k\)

So, we need to compute the partial derivatives of each component of F with respect to x, y, and z:

\(∂F1/∂x = 18x^2\)

\(∂F1/∂y = 0\)

\(∂F1/∂z = 6\)

∂F2/∂x = 0

\(∂F2/∂y = 6y^2 cos(y^3) + 7\)

∂F2/∂z = 7

∂F3/∂x = 6

∂F3/∂y = 7

\(∂F3/∂z = 6z^2 e^{z3}\)

Now, we can use the formula for curl F to find:

\(curl F = (∂F3/∂y - ∂F2/∂z) i + (∂F1/∂z - ∂F3/∂x) j + (∂F2/∂x - ∂F1/∂y) k\)

\(= (7 - 6z^2 e^{z3}) i + (-6x^2) j + (6y^2 cos(y^3) + 7 - 6) k\)

\(= (7 - 6z^2 e^{z3}) i - 6x^2 j + (6y^2 cos(y^3) + 1) k\)

Therefore, the curl of the vector field F is given by:

\(curl F = (7 - 6z^2 e^{z3}) i - 6x^2 j + (6y^2 cos(y^3) + 1) k\)

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We plug in 14 for x when we set the two equations equal to each other to prove they are equal.

So true LM congruent to MN

The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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Answer:

A. The number 81 is a rational number.

B. 11.7 is irrational

C. 3 is irrational

E. 17.35 is rational

Step-by-step explanation: A rational number is a number that can be expressed as a fraction where the numerator is a whole number (integer) and the denominator is a whole number (integer).

The number 81 is a rational number. We know this because it is possible to obtain the rational number 81 by dividing the integer 81 by the integer 1.

2/5 and 2/3 are rational numbers. Irrational numbers have an infinite number of digits to the right of the decimal point, without repetition.

The square root of 3 is irrational. It cannot be simplified further in its radical form and hence it is considered as a surd.

Answer:

x=48 and y is 132 my guy u welcome

Answer:

48 + y = 180

y= 132

5x - 17 = 132

x=29.8

if angle m∠2 = 120°, then m∠7 is 120°.

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Supplementary angles are those angles that sum up to 180 degrees.

Given that  m∠2 = 120°.

We have to find the  m∠7.

m∠2  and m∠4 are supplementary angles.

120+m∠4=180

m∠4=60 degrees.

m∠4 is corresponding angle of m∠8.

m∠8 and m∠7 are again supplementary angles.

60+m∠7=180

m∠7=120 degrees.

Hence, if angle m∠2 = 120°, then m∠7 is 120°.

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Answer:

Step-by-step explanation:

The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree.

Answer:

13. In parallelograms, adjacent angles are always supplementary. This means that angles that are right next to each other will always add up to 180.

So for this one, the two given angles add up to 180, creating this equation:

7x - 4 + 9x - 8 = 180

this can be simplified to x = 12

substitute x into <D to get <D = 100

since we know that <D and <A are supplementary, subtract m<D from 180 to get <A = 80

14. In parallelograms, opposite angles are always congruent, this means that in this problem <C and <A are equal to each other

so we can create an equation: 9x + 13 = 11x - 3

solve this to get x = 8

substitute 8 into <C's equation to get <C = 85

Since <C and <B are adjacent, subtract <C from 180 to get <B = 95

15. <J and <L are opposite to each other, so we know they are congruent

this means we can create an equation: 2 + 24x = 26x - 2

solve this to get x = 2

plug this into the equation for <J

you get <J = 50

16. In parallelograms, lines that are opposite to each other are always congruent. So this means that lines JM and KL are congruent

this means that we can create an equation of 2x - 15 = x - 4

solve this to get x = 11

plug in x to the equation for KL

you get KL = 7

Answer:

9

Step-by-step explanation:

3x3 =9 hope this helps bbs

Answer: 15/11

Step-by-step explanation:

Answer:

15 ÷ 11 as a fraction is 15/11. As a mixed number it is 1 4/11.

Step-by-step explanation:

Answer:

175000 km

Step-by-step explanation:

the 1:25000 essentially means that every centimeter represents 25000 kilometers. so the answer is 175000 by multiplying 7 and 25000

Answer:

the answer is 11.

if 16 inches of wire cost 48 cents your goal i to figure out how many inches of wire cots 33 cents to do so you have to find out how many cents each inch is. to do that you have to divide 48 by 16 and you get 3 so that mean that 1 inch costs 3 cents. after you figure that out you do 33 divided by 3 and you get 11. the answer is 11 inches costs 33 cents.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

-5 ≤ x ≤ 5

Step-by-step explanation:

If x^2 = 25

x = -5 or 5

BUT inequality

IF x is POSITIVE 5

You can square root both sides

x ≤ 5

IF x is NEGATIVE 5

You can divide both sides by -5

BUT switch inequality sign

This is because basically dividing both sides by negative

x ≥ -5

FINAL INEQUALITY

-5 ≤ x ≤ 5

Answer:

14.7

Step-by-step explanation:

Answer:

6\(\sqrt{6}\)

or

≈14.7

Step-by-step explanation:

√6 x √6 x√6 can someone help​

√6 x √6 x√6 =

6\(\sqrt{6}\)

or

≈14.7

Answer:

6n^3

Step-by-step explanation:

3/3 *9^10/453*7+sqrt175

The polynomial expression is \($B=6 n^{3}\) ; where, \(\quad n \neq 0\).

Given:

\($\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}} \div \frac{2 n^{2}+18 n}{B}=1$\)

To find:

the value of B is a polynomial expression.

Step 1

Let, \($\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}} \div \frac{2 n^{2}+18 n}{B}=1$\)

\($\frac{\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}}}{\frac{2 n^{2}+18 n}{B}}=1$$\)

Simplifying the above equation as

\($\frac{\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}}}{\frac{2 n^{2}+18 n}{B}}: \frac{B}{6 n^{3}}$\)

then, we get

\($\frac{B}{6 n^{3}}=1$$\)

Step 2

Multiply both sides by \($6 n^{3}$\), then we get

\($\frac{B}{6 n^{3}} \cdot 6 n^{3}=1 \cdot 6 n^{3} $$\) where, \(\quad n \neq 0\)

Simplifying the equation as

\($B=6 n^{3}\) ; where, \(\quad n \neq 0\)

The value of \($B=6 n^{3}\) ; where, \(\quad n \neq 0\).

Therefore, the polynomial expression is \($B=6 n^{3}\) ; where, \(\quad n \neq 0\).

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In linear equation, Cost of operating a 200-W lamp continuously for 1 week = 6.7 $

What in mathematics is a linear equation?

1 kW = 1000 W

1 week = 7 days

1 day = 24 hours

Power utility rate = R = 20 cents/(kW.h)

Power consumed by the lamp = P = 200 W = 200 x 10-3 kW = 0.2 kW

Time period the lamp is operating for = T = 1 week = 1 x (7 x 24) hours = 168 hours

Energy consumed by the lamp in 1 week = E

E = PT

E = (0.2)(168)

E = 33.6 kW.h

Cost of operating the lamp continuously for 1 week = C

C = ER

C = (33.6)(20)

C = 672 cents

Converting from cents to dollars,

C = 672 x (1/100) $

C = 6.72 $

Rounding off to two significant figures,

C = 6.7 $

Cost of operating a 200-W lamp continuously for 1 week = 6.7 $

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Answer:

80

Step-by-step explanation:

To solve this problem you multiply 16 by 100 and then divide the total by 20 as follows:

(16 x 100) / 20

=80

Answer:

80

Step-by-step explanation:

Let's assume x as any no.  multiply 20/100 equals 16  and then solve the equation in which you will get 80 as x.

Answer:

32%

Step-by-step explanation:

Well, 14+8+3=25

So, 8/25=32/100, which means 32%

Answer:

Person above me is right

Answer:

If your going to graph it , it would be x=3/2y+ -9/2

Step-by-step explanation:

Answer:

The solution set is  {-7, 7}.

Step-by-step explanation:

He was half right .There are 2 solution d = -7 and d = 7.

Answer:

25

Step-by-step explanation

width= 8 cubes

length= 10 cubes

height= 7 cubes

Answer:

30%

Step-by-step explanation:

The price for each shirt to buy is: $ 700/100 = $ 7 / each

Selling price is: $ 10 / each

So the difference between the selling and buying prices is: $ 10 - $ 7 = $ 3

So 100 each, the interest is: $ 3 X100 = $ 300 => 30%

Answer:

\(17\)

Step-by-step explanation:

\(4\cdot \:5-10-2\left(1-2\right)+5\)

\(\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\)

\(=4\cdot \:5-10-2\left(-1\right)+5\)

\(=20-10-2\left(-1\right)+5\)

\(=20-10-\left(-2\right)+5\)

\(20-10=10\)

\(=10-\left(-2\right)+5\)

\(-\left(-2\right)=+2\)

\(=10+2+5\)

\(10+2=12\)

\(=12+5\)

\(12+5=17\)

\(=17\)

the unit normal vector to the curve with vector equation \vec r \, (t) =<1^t,\ln(4/t^2), \, \ln(e/(t^4)) > r (t)=<1 t ,ln(4/t 2 ),ln(e/(t 4 ))> at the point where t=2t=2 is \vec n = <0,0,-1>

A unit normal vector is a normal vector with magnitude 1, and it points in the direction that is perpendicular to the tangent to the curve at a given point.

To determine the unit normal vector to a curve, it's important to find the tangent first and then find the normal. In this case, we're looking for the unit normal vector to the curve with the vector equation \vec r (t) =<1^t,\ln(4/t^2), \ln(e/(t^4)) > at the point where t = 2.

To find the unit normal vector to the curve with the vector equation \vec r (t) =<1^t,\ln(4/t^2), \ln(e/(t^4)) > at the point where t = 2, it is necessary to find the tangent to the curve and then find the normal. This is a crucial step in understanding the geometry of curves in 3D space.

To find the tangent to the curve, we'll differentiate the vector equation with respect to t and evaluate it at t = 2. The derivative of \vec r (t) is given by:

d\vec r/dt = <1, -2t^-3, -4e^-t^-4>

So the tangent to the curve at t = 2 is:

d\vec r/dt = <1, -2(2)^-3, -4e^-2^-4> = <1, 1.5, -1.648721>

Next, we'll find the normal to the tangent by taking the cross product of the tangent with a fixed vector, for example, the unit vector i = <1,0,0>. The cross product of two vectors results in a vector that is perpendicular to both of them.

The cross product of the tangent and the unit vector i is given by:

\vec T x \vec i = <1, 1.5, -1.648721> x <1,0,0> = <0,0,-1.5>

Since the magnitude of the normal is not 1, we'll normalize it by dividing it by its magnitude:

\vec n = \vec T x \vec i / ||\vec T x \vec i|| = <0,0,-1.5> / ||<0,0,-1.5>|| = <0,0,-1>

So the unit normal vector to the curve with the vector equation \vec r (t) =<1^t,\ln(4/t^2), \ln(e/(t^4)) > at the point where t = 2 is given by:

\vec n = <0,0,-1>

This is the unit normal vector that points in the direction that is perpendicular to the tangent to the curve at t = 2. The magnitude of 1 ensures that it's a unit vector and the direction points towards the normal direction.

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\(15 - x = 5.64\)

\(15 - 5.64 = x\)

\(9.36 = x\)

//

\(9.36 \div 0.24 = 39\)

her call lasted 39 minutes.

The four criteria that can be used to prove triangles are congruent and can be used to prove the triangles are congruent.

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides and all three of their corresponding angles have the same measurements. These triangles can be moved around, rotated, flipped, and turned to have a same appearance. They match up with one another when moved.

The four criteria that can be used to prove triangles are congruent are SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and SSS (Side-Side-Side). Additionally, CPCTC (Corresponding Parts of Congruent Triangles are Congruent) can be used to prove the triangles are congruent.

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The critical value, tc, for a confidence level of c0.90 and sample size n=16 can be found using a t-distribution table. The degrees of freedom for this calculation is n-1, which in this case is 15. From the table, we find that the tc value is approximately 1.753. This means that if we take a sample of size 16 from a population and calculate a sample mean, we can be 90% confident that the true population mean falls within a range of ± tc multiplied by the standard error of the sample mean. The critical value tc is an important factor in calculating confidence intervals for sample means.

To find the critical value, we need to use a t-distribution table, which provides the t-scores for various levels of confidence and degrees of freedom. The degrees of freedom for this calculation is n-1, which is 16-1=15. We look for the row in the table that corresponds to 15 degrees of freedom and then find the column that corresponds to a confidence level of 0.90. The value at the intersection of this row and column is the critical value, which in this case is approximately 1.753.

The critical value tc for a confidence level of c0.90 and sample size n=16 is approximately 1.753. This value is important in calculating confidence intervals for sample means, which allows us to estimate the range within which the true population mean is likely to fall with a certain level of confidence.

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