Compute the flux of the vector field F = 3i+j - 4k through the oriented rectangular region S shown in 2 S y lying above the square D = {(x, y): 0 < x, y <1} in the zy-plane.

Answer:

44:99 = 4:9

108:36 = 3:1

33:9 = 11:3

49:14 = 7;2

hope it helps

Answer:

Look at the picture**

Step-by-step explanation:

X2

Answer:

Step-by-step explanation:

x2

The solution is:

A. (–8, 2), is the solution to the system of equations y=1/2x+6 and

y=3/4x-4

Here, we have,

(1)       y =  ½x + 6  

(2)       y = -¾x –  4     Set (1) = (2)  

½x +   6 = -¾x –  4     Multiply each side by 4

2x  + 24 = -3x – 16     Add 16 to each side

2x  + 40 = -3x              Subtract 2x from each side  

       40 = -5x              Divide each side by -5

(3)       x = -8                 Substitute (2) into (1)

         y = ½(-8)  +6

            = -4 + 6

            =  2

The solution to the system of equations is (-8 ,2).

You can see the graphs of the two functions in the figure below. The two lines intersect at (-8, 2).

Check:

2 = ½(-8) + 6     2 = -¾(-8) - 4

2 = -4 +6           2 = 6 - 4

2 = 2                 2 = 2

To learn more on equation click:

brainly.com/question/24169758

#SPJ1

complete question:

What is the solution to the system of equations below?

y=1/2x+6 and y=3/4x-4

A. (–8, 2)

B. (–8, –1)

C. (8, 10)

D. (8, –10)

Marissa's shape is classified as a scalene and obtuse triangle, considering it's concepts presented in this problem.

The triangle has three sides of unequal length, as the opposite angle measures are different, hence it is classified as an scalene triangle.

(it would be equilateral if all had the same length, and isosceles if two sides have the same length).

The triangle has one angle larger than 90º, hence it is classified as an obtuse triangle.

(acute with no angles of 90º or greater, right with one angle of exactly 90º).

More can be learned about triangle classifications at brainly.com/question/1058720

#SPJ1

The amount of yellow paint Curt and Melanie should use is 0.45 quarts so that they can make 1.5 quarts bucket of seafoam green paint.We can use per cent equation.

Given that to make 1.5 quarts bucket of seafoam green paint Curt and Melanie have to mix 70 parts blue paint and 30 parts yellow paint.If 100 percent represent total paint then for 1.5 quarts we have to find the proportion of yellow paint.Let it be x.

30%  / 100% =30 / 100 = x / 1.5 quarts.

We can reduce the equation further,

0.3  = x / 1.5.

0.3 * 1.5 = x

x = 0.45

We can also find blue paint proportion similar by substituting 30 per cent to 70 per cent.

As a result of our calculation, we found the amount of yellow paint to be 0.45 quarts.

To know more about per cent equation,

https://brainly.com/question/1384810

Answer:

Step-by-step explanation:

Lets get the equation for the graphed function

Using two points:

Y-intercept is known, it is -6 as per the first point

Slope is:

So the function f is:

g(x) is going to be

So

The graph is attached

Answer: g(x) = - x + 1 i think

Step-by-step explanation:

Answer:

y = 62, x = 122

Step-by-step explanation:

Every triangle's sum of interior angles = 180°.

60 + 58 + y = 180

118         + y = 180

y                  = 62

Supplementary angles are adjacent angles that make up a straight angle (180 degrees)

58 + x = 180

x          = 122

Answer:

x = 122°, y = 62°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 given angles from 180 to find y

y = 180° - (60 + 58)° = 180° - 118° = 62°

x and 58° are adjacent angles and are supplementary, thus

x = 180° - 58° = 122°

Answer:

12

Step-by-step explanation:

you divide 120 by 10 since dimes are equal to ten cents

To determine how many dimes are in dollars:

  ⇒ must know the rate of conversion

     ⇒ for every dollar, there are 10 dimes

         ⇒  \(\frac{1_. dollar}{10_. dimes}\)

Let's solve:

   \(120_. dimes * \frac{1_.dollar}{10_.dimes} = \frac{120}{10} *\frac{dimes}{dimes} *dollar=12_.dollars\)

Thus you would get 12 dollars

Answer: 12 dollars

Hope that helps!

Hypothesis is a proposed explanation for a phenomenon that can be tested through further investigation and theory is well-established explanation.

A proposed explanation for a phenomenon that can be tested through further investigation.

An educated guess based on available evidence.

A well-established and widely accepted explanation for a phenomenon that has been extensively tested and supported by a substantial amount of evidence.

A scientific explanation that has been thoroughly tested and is widely accepted by experts in the field.

To learn more about hypothesis visit:

https://brainly.com/question/29519577

#SPJ4

A table or spreadsheet used to systematically evaluate options according to specific criteria is a decision matrix.

A decision matrix is a table or spreadsheet used to systematically evaluate options based on specific criteria. It is a tool commonly used in decision-making processes to objectively assess and compare different choices.

The decision matrix organizes the criteria in rows and the options in columns. Each cell in the matrix represents the evaluation or score of an option based on a particular criterion. The criteria can be weighted to reflect their relative importance in the decision-making process.

By filling out the decision matrix with scores or ratings for each option and criterion, a comprehensive evaluation can be performed. The matrix allows decision-makers to visualize and compare the performance of different options against the criteria, helping them make more informed and structured decisions.

To know more about spreadsheet, refer here:
https://brainly.com/question/11452070
#SPJ11

Answer:

1) B - 5/4

2) A. The cost of delivery is $120

3) C 2

Step-by-step explanation:

1) The given parameters are;

The demarcations on the x-axis = -10 to 10

The demarcations on the y-axis = -10 to 10

The coordinates of two points on the graph are (0. 7), and (4, 2)

The slope, m, of a graph is given by the following equation;

\(Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

Given that (x₁, y₁) = (0. 7) and (x₂, y₂) = (4, 2), we have;

\(Slope, \, m =\dfrac{2-7}{4-0} = -\dfrac{5}{4}\)

The slope, m = -5/4

Taking B. as = -5/4

2. The given information are;

The nature of the cost of delivery of crushed stone = Cost of delivery, A

The function, f, for the cost of crushed stone of mass, x is the cost C, f(x) = C = m × x + A

Whereby the the graph of the total cost of the crushed stone is a straight line graph, we have;

C = m × x + A

At the y-intercept, x = 0, we have;

C\(_{(y-intercept)}\) = m × 0 + A

C\(_{(y-intercept)}\)  = A = Cost of delivery

The points on the line are;

(0, 120) and (400, 134), therefore, the slope, m, is given as follows;

\(Slope, \, m =\dfrac{134-120}{400-0} = \dfrac{14}{400} = 0.035\)

We have;

(C - 134) = 0.035×(x - 400)

C = 0.035·x - 14 + 134 = 0.035·x + 120

C = 0.035·x + 120

At the y-intercept, x = 0, we have;

C\(_{(y-intercept)}\) = 0.035 × 0 + 120

C\(_{(y-intercept)}\)  = 120 = Cost of delivery

Therefore, the cost at the y-intercept = The cost of delivery = $120

3. The coordinates of points on the graph are;

(0, 1) and (2, 0)

The slope, m = (0 - 1)/(2 - 0) = -1/2

The equation of the line in point slope form is given as follows;

(y - 0) = -1/2 × (x - 2)

y = -x/2 + 1

The x-intercept occurs at the point y = 0, which is presented as follows;

0 = -x/2 + 1

-x/2 = -1

x = -1 × (-2) = 2

x = 2

Therefore, the y-intercept occurs at x = 2.

The correct option is

C 2

In mathematics, the modular exponentiation function is used to compute a number modulo m raised to the power of another number modulor m. In other words, modular exponentiation is the algorithm that calculates the remainder of a number when raised to a power.

It's also known as fast exponentiation or repeated squaring. The modular exponentiation function is implemented as follows:

mod_exp(b,n,m)Steps to implement modular exponentiation (fast exponentiation) function , Step 1: Set res to  n bit-by-bit using / and % operations.

If the bit is 1, compute res = (res * b) % m. Step 3:

Compute b = (b * b) % m. Step 4:

Repeat steps 2-3 until all bits of n have been processed. Step 5: Return res as the answer. Implementation of modular exponentiation in Python:

Result:

135201327

Time taken:

5.817413330078125e-05

To know more about function visit:

https://brainly.com/question/30721594

#SPJ11

Answer:

9r^4

Step-by-step explanation:

first step would be to use the exponent rule.

(12r^2t^2)^2/(4t^2)^2

once you have done this, you are able to completely simplify

144r^4 t^4/16t^4   =  9r^4

btw, could you please give me brainiest

II(X, Y) = -dN(X)Y, where N is the unit normal vector of the surface.6. The plane curve D.

1. Given a space curve a: 1 = [0,2m] R³, such that a )= a), then a(t) is simple.

The curve a(t) is simple because it doesn't intersect itself at any point and doesn't have any loops. It is a curve that passes through distinct points, and it is unambiguous.

2. The torsion of a plane curve equals not a constant. The torsion of a plane curve is not a constant because it depends on the curvature of the plane curve. Torsion is defined as a measure of the degree to which a curve deviates from being planar as it moves along its path.

3. Given a metric matrix guy, then the inverse element g¹¹ equals 212.

The inverse of the matrix is calculated using the formula:

                    g¹¹ = 1 / |g| (g22g33 - g23g32) 2g13g32 - g12g33) (g12g23 - g22g13)

                                  |g| where |g| = g11(g22g33 - g23g32) - g21(2g13g32 - g12g33) + g31(g12g23 - g22g13)4.

The vector S=N x T is called binormal of a curve a lies on a surface M.

The vector S=N x T is called binormal of a curve a lies on a surface M.

It is a vector perpendicular to the plane of the curve that points in the direction of the curvature of the curve.5.

The second fundamental form is calculated using (N, Xij).

The second fundamental form is a measure of the curvature of a surface in the direction of its normal vector.

It is calculated using the dot product of the surface's normal vector and its second-order partial derivatives.

It is given as: II(X, Y) = -dN(X)Y, where N is the unit normal vector of the surface.6. The plane curve D. not simple is the correct answer to the given problem.

Learn more about unit normal vector

brainly.com/question/29752499

#SPJ11

Answer:

Step-by-step explanation:

HCF = 2xy^2

Answer:

13

Step-by-step explanation:

The proportion is solved and the number of muffins is M = 16

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

The ratio of cookies to muffins made at The Berry Bakery is 3 : 4

Now , the number of cookies is = 12

So , the proportion is

3 / 4 = 12 / M

Multiply by M on both sides , we get

( 3/4 )M = 12

Divide by 3/4 on both sides , we get

M = 16 muffins

Hence , the number of muffins is 16

To learn more about proportion click :

https://brainly.com/question/7096655

#SPJ2

The dimensions of the rectangle are 10 feet (length) and 8 feet (width).

To find the dimensions of the rectangle with an area of 80 square feet and a width that is 2 feet less than the length,

follow these steps:

1. Let the length of the rectangle be L feet and the width be W feet.

2. According to the given information, W = L - 2.

3. The area of a rectangle is calculated by multiplying its length and width: Area = L × W.

4. Substitute the given area and the relationship between L and W into the equation: 80 = L × (L - 2).

5. Solve the quadratic equation: 80 = L² - 2L.

6. Rearrange the equation: L² - 2L - 80 = 0.

7. Factor the equation: (L - 10)(L + 8) = 0.

8. Solve for L: L = 10 or L = -8 (since the length cannot be negative, L = 10).

9. Substitute L back into the equation for W: W = 10 - 2 = 8.

So, the dimensions of the rectangle are 10 feet (length) and 8 feet (width).

for such more question on dimensions

https://brainly.com/question/11214914

#SPJ11

Answer:

False.

Step-by-step explanation:

The diagonals are at right angles ( because of the negative reciprocal slopes)

so it could be a square or a rhombus.

The given figure can be a rhombus or square.

The square is a 4 - sided figure, each side of the square is equal and makes a right angle.

The area of a square having sided a unit can be given by a² square unit.

Given that,

A figure has equal length of opposite sides.

Also, slopes and diagonals are equal with negative reciprocals.

Since, The square and rhombus both have equal sides and equal diagonals,

But a square makes right angle on sides.

In the given question, right angle is not given.

Therefore, the figure can be square or rhombus.

To know more about Square on:

https://brainly.com/question/28776767

#SPJ2

Answer:

X= -0.1290 (bar line on top of the 90)

Hope this helps!

Step-by-step explanation:

Answer:

X= -0.1290

Step-by-step explanation:

The rate of change of the surface area when the radius is 12 cm is approximately -0.033 cm^2 per minute.

To find the rate of change of the surface area when the radius is 12 cm, follow these steps:

1. Find the relationship between the volume (V) and the radius (r) of the sphere. The formula for the volume of a sphere is V = (4/3)πr^3.

2. Differentiate V with respect to time (t) to find the rate of change of volume (dV/dt): dV/dt = 4πr^2(dr/dt).

3. We know the rate of change of volume (dV/dt) is -5 cm^3 per minute (gas is escaping, so the rate is negative). Plug this value into the equation: -5 = 4π(12^2)(dr/dt).

4. Solve for the rate of change of the radius (dr/dt): dr/dt = -5/(4π(12^2)).

5. Find the relationship between the surface area (A) and the radius (r) of the sphere. The formula for the surface area of a sphere is A = 4πr^2.

6. Differentiate A with respect to time (t) to find the rate of change of surface area (dA/dt): dA/dt = 8πr(dr/dt).

7. Plug in the known values (r = 12 cm and dr/dt from step 4) into the equation: dA/dt = 8π(12)(-5/(4π(12^2))).

8. Simplify and calculate the rate of change of the surface area: dA/dt ≈ -0.033 cm^2 per minute.

So, the rate of change of the surface area when the radius is 12 cm is approximately -0.033 cm^2 per minute.

Learn more about "surface area": https://brainly.com/question/16519513

#SPJ11

Rate of change of the surface area when the radius is 12 cm and the gas is escaping at a rate of 5 cm³/min is approximately -0.65 cm²/min.

We are given that the rate of gas escaping the spherical balloon is 5 cm³/min. This means that the rate of change of volume, dV/dt, is -5 cm³/min (since the volume is decreasing).

The formula for the volume of a sphere is:

V = (4/3)πr³

Differentiating with respect to time, we get:

dV/dt = 4πr²(dr/dt)

where dr/dt is the rate of change of the radius with respect to time.

Solving for dr/dt, we get:

dr/dt = (dV/dt) / (4πr²)

Substituting the given values, we get:

dr/dt = (-5 cm³/min) / (4π(12 cm)²) = -0.00215 cm/min (Note that the negative sign indicates that the radius is decreasing.)

Now, we need to find the rate of change of surface area, dA/dt. Using the formula for the surface area of a sphere, A = 4πr², we can differentiate with respect to time using the chain rule:

dA/dt = dA/dr * dr/dt

where dA/dr is the rate of change of surface area with respect to the radius.

Differentiating A = 4πr² with respect to r, we get:

dA/dr = 8πr

Substituting the given value, we get:

dA/dr = 8π(12 cm) = 301.59 cm²

Finally, substituting both values into the chain rule equation, we get:

dA/dt = (301.59 cm²) * (-0.00215 cm/min) ≈ -0.65 cm²/min

Therefore, the rate of change of the surface area when the radius is 12 cm and the gas is escaping at a rate of 5 cm³/min is approximately -0.65 cm²/min.

learn more about 'volume':https://brainly.com/question/31226103

#SPJ11

Answer:

y ≥ 2

Step-by-step explanation:

-4 ≤ 4( 6y-12 ) - 2y

-4 ≤ 24y - 48 -2y

-4 ≤ 22y - 48

44 ≤ 22y

2 ≤ y  or  y ≥ 2

Answer:

A

Step-by-step explanation:

\( - 4 \leqslant 4(6y - 12) - 2y \\ - 4 \leqslant 24y - 48 - 2y \\ - 4 \leqslant 24y - 2y - 48 \\ - 4y \leqslant 22y - 48 \\ collect \: like \: terms \\ 48 - 4 \leqslant 22y \\ 44 \leqslant 22y \\ divide \: bth \: by22 \ \\ 44 \div 22 \leqslant y \\ 2 \leqslant y\)

Answer:

Part A: 24 meters

Part B: 33 meters²

Step-by-step explanation:

Part A: We know the length of 4 of the sides. The other two sides are 2 m & 1 m. Now add all of those values up. 3 + 7 + 5 + 6 + 2 + 1 = 10 + 11 + 3 = 21 + 3 = 24 meters. The perimeter of the polygon is 24 meters.

Part B: I'll split this into two rectangles: one is 3 by 7, and the other is 6 by 2. (3 * 7) + (6 * 2) = 21 + 12 = 33 meters². The area of the polygon is 33 meters².

Finding the square root of non-perfect square numbers typically results in an irrational number, which has a non-repeating and non-terminating decimal representation.

Finding the square root of a number involves determining the value that, when multiplied by itself, gives the original number. Here are a few methods to find the square root:

Prime Factorization: This method involves breaking down the number into its prime factors. Pair the factors in groups of two, and take one factor from each pair. Multiply these selected factors to find the square root. For example, to find the square root of 36, the prime factors are 2 * 2 * 3 * 3. Taking one factor from each pair (2 * 3), we get 6, which is the square root of 36.

Estimation: Approximate the square root using estimation techniques. Find the perfect square closest to the number you want to find the square root of and estimate the value in between. Refine the estimate using successive approximations if needed. For example, to find the square root of 23, we know that the square root of 25 is 5. Therefore, the square root of 23 will be slightly less than 5.

Using a Calculator: Most calculators have a square root function. Simply input the number and use the square root function to obtain the result.

It's important to note that finding the square root of non-perfect square numbers typically results in an irrational number, which has a non-repeating and non-terminating decimal representation.

For more questions on square root

https://brainly.com/question/31609540

#SPJ8

Answer:

- 6x

Step-by-step explanation:

Step 1:

- 5x - x

Answer:

- 6x

Hope This Helps :)

- 6x

Step 1:   - 5x - x

Answer:  - 6x

Not the answer: I hope you do well and keep on trying!!

Answer:

Step-by-step explanation:

The 2 angles with x in them are complementary. They add to 90. This is a right triangle.

3x - 14 + 2(3x - 6) = 90       Remove the brackets.

3x - 14 + 6x - 12 = 90          Combine

9x - 26 = 90                        Add 26 to both sides.

9x = 116                               Divide by 9

9x/9 = 116/9

x = 12.89

Answer:

44 days

Step-by-step explanation:

165 divided by 3 3/5 (3.75)

stream Why Not? by Loona :D