T(x,y,z)=x^2yz^3 với M(1,1,1)

Answer:

Hi

Step-by-step explanation:

Please paste your question so I can solve it

Thanks

The right response is 400%. In other words, Johnny moves at four times the pace of Jane.

We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.

We may compare the speeds as a fraction to figure out the ratio:

Johnny's speed divided by Jane's speed equals 4/1.

This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.

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Answer:

8 hours and 26 minutes

Step-by-step explanation:

To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.

First, we can divide 506 by 60 to find the number of hours:

506 ÷ 60 = 8 with a remainder of 26

This means that 506 minutes is equal to 8 hours and 26 minutes.

Therefore, the conversion of 506 minutes to hours and minutes is:

8 hours and 26 minutes

Answer:

Let's analyze each system of equations and classify them based on the number of solutions they have:

1) y = 11 − 2x

  4x − y = 7

This system of equations represents two lines. The first equation is in slope-intercept form, and the second equation is in standard form. Since the equations have different slopes and different y-intercepts, they intersect at a single point. Thus, the system has a single solution.

2) x = 12 − 3y

  3x + 9y = 24

The first equation represents a line, and the second equation is a linear equation. Since the first equation can be rewritten as 3y = 12 - x or y = 4 - (1/3)x, it indicates that the slope-intercept form can't be satisfied. Both equations are equivalent and represent the same line. Therefore, the system has infinitely many solutions.

3) 2x + y = 7

  -4x = 2y + 14

The first equation represents a line, and the second equation is also a linear equation. If we simplify the second equation, we get y = -2x - 7, which is equivalent to the first equation. Thus, the system has infinitely many solutions.

4) x + y = 15

  2x − y = 15

Both equations are in standard form. By adding the equations, we eliminate y and get 3x = 30, which simplifies to x = 10. Substituting x = 10 into either equation, we find y = 5. Therefore, the system has a single solution.

5) x + 4y = 6

  2x = 12 − 8y

The first equation represents a line, and the second equation is a linear equation. By simplifying the second equation, we get x = 6 - 8y, which is equivalent to the first equation. Therefore, the system has infinitely many solutions.

To summarize:

- System 1: Single solution.

- System 2: Infinitely many solutions.

- System 3: Infinitely many solutions.

- System 4: Single solution.

- System 5: Infinitely many solutions.

A. In equation form: Revenue = 9x1 + 12x2 + 4x3 + 5x4 + 8x5

B. Non-negativity constraint: x1, x2, x3, x4, x5 ≥ 0

To solve this problem using E x c e l Solver, set up the revenue function and the constraints. Here's how you can do it:

a. Revenue Function:

Let's denote the number of cakes baked for each type as x1, x2, x3, x4, and x5 respectively.

The revenue function can be formulated as:

Revenue = (Selling Price of Cake 1 × Number of Cake 1) + (Selling Price of Cake 2 × Number of Cake 2) + (Selling Price of Cake 3 × Number of Cake 3) + (Selling Price of Cake 4 × Number of Cake 4) + (Selling Price of Cake 5 × Number of Cake 5)

In equation form:

Revenue = 9x1 + 12x2 + 4x3 + 5x4 + 8x5

b. Constraints:

The constraints for the availability of ingredients can be formulated as follows:

Milk constraint: 4x1 + 3x2 + x3 + 5x4 + 4x5 ≤ 280

Sugar constraint: 7x1 + 4x2 + 5x3 ≤ 300

Egg constraint: x1 + 2x2 + 3x3 + 4x4 + 5x5 ≤ 80

Flour constraint: 3x1 + 4x2 + 2x3 + 4x4 + 6x5 ≤ 250

Cream constraint: 4x1 + 5x3 + x4 + 3x5 ≤ 190

Non-negativity constraint: x1, x2, x3, x4, x5 ≥ 0

c. Solve the system of linear inequalities using E x c e l Solver:

To solve the system of linear inequalities using E x c e l Solver, follow these steps:

1. Open M i c r o s o f t E x c e l and enter the following data in a new sheet:

| | A | B |

|-----|-----------|-----------------|

| 1 | Cakes | Selling Price |

| 2 | Cake 1 | $9 |

| 3 | Cake 2 | $12 |

| 4 | Cake 3 | $4 |

| 5 | Cake 4 | $5 |

| 6 | Cake 5 | $8 |

| | | |

| | | Formula |

| 9 | Milk | 280 |

| 10 | Sugar | 300 |

| 11 | Eggs | 80 |

| 12 | Flour | 250 |

| 13 | Cream | 190 |

2. In cell B16, enter the formula for the revenue:

=B2×B7 + B3×B8 + B4×B9 + B5×B10 + B6×B11

3. In cell B18, enter the formula for the milk constraint:

=4×B2 + 3×B3 + B4 + 5×B5 + 4×B6

4. In cell B19, enter the formula for the sugar constraint:

=7×B2 + 4×B3 + 5×B4

5. In cell B20, enter the formula for the egg constraint:

=B2 + 2×B3 + 3×B4 + 4×B5 + 5×B6

6. In cell B21, enter the formula for the flour constraint:

=3×B2 + 4×B3 + 2×B4 + 4×B5 + 6×B6

7. In cell B22, enter the formula for the cream constraint:

=4×B2 + 5×B4 + B5 + 3×B6

8. In cell B24, enter the formula for the non-negativity constraint for Cake 1:

=B2

9. Repeat step 8 for the remaining cakes, entering the formulas in cells B25, B26, B27, and B28:

=B3

=B4

=B5

=B6

10. Now, select cells B16 to B28 and click on the "Solver" button in the "Data" tab.

11. In the Solver Parameters window, set the objective to maximize the cell B16 (Revenue).

12. Set the By Changing Variable Cells to B24:B28 (the number of cakes baked).

13. Click on the "Add" button in the "Subject to the Constraints" section.

14. In the Constraint window, select the range B18:B22 for the constraint cells.

15. In the Solver Parameters window, click on the "Add" button again and select the range B24:B28 for the non-negativity constraints.

16. Set the Solver options as desired, and click on the "Solve" button.

E x c e l Solver will calculate the optimal values for the number of cakes to be baked for each type that maximize the revenue, while satisfying the given constraints on ingredient availability. The solution will be displayed in cells B24:B28, indicating the number of cakes to be baked for each type.

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The distance, d, that the ladder goes up the wall (above the fire truck) is approximately 7.76 meters.

1. Convert the angle from degrees and minutes to decimal form.

  47 degrees 44' = 47 + (44/60) = 47.7333 degrees (rounded to four decimal places)

2. Use trigonometric ratios to find the length of the side opposite the angle.

  sin(47.7333) = Opposite / Hypotenuse

3. Rearrange the formula to solve for the Opposite side.

  Opposite = sin(47.7333) * Hypotenuse

4. Substitute the known values into the equation.

  Opposite = sin(47.7333) * 10.5 meters

5. Calculate the value of sin(47.7333) using a calculator.

  sin(47.7333) ≈ 0.7431

6. Substitute the value of sin(47.7333) and the given value of Hypotenuse into the equation.

  Opposite = 0.7431 * 10.5 meters

7. Calculate the value of Opposite.

  Opposite ≈ 7.76 meters

Therefore, the distance, d, that the ladder goes up the wall (above the fire truck) is approximately 7.76 meters.

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Answer:

Creating a diagram..

Step-by-step explanation:

Alrighty, I've made a diagram. I've even uploaded it so everyone can see how good at drawing I am (not)

a. 7 do not own anything.

b. the probability that someone owns a bone or a stick is 50%.

c. the probability that someone owns a rock and a bone is 14%.

d. the probability that someone owns at least 2 items is 42%.

e. the probability that someone owns only 1 of these items is 51%.

Please tell me if im wrong! im only a student .m.

Answer:

  B)  15/17

Step-by-step explanation:

You want the sine of acute angle A in the right triangle shown.

The sine of the angle is the ratio ...

  Sin = Opposite/Hypotenuse

We can go to the trouble to figure the hypotenuse, or we can choose the only suitable answer from the list provided. (It is the one marked already.)

The leg lengths of the triangle shown are 8 and 15, with leg 15 being opposite angle A. This is the first clue that the ratio will have 15 in the numerator. Only answer choice B matches.

The value of the sine function is never greater than 1, eliminating answer choices A, C, and E, leaving choices B and D.

Since the side opposite angle A is the longest of the two legs, we know that angle A is more than 45°, and its sine is more than √2/2. That means choice D can be eliminated, since it is less than 1/2.

The sine of angle A is 15/17.

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Answer:

The exterior angle to the vertex P, measuring 90°

Step-by-step explanation:

The sum of the internal angles of any triangle needs to be equal 180 degrees. So, we can write two equations:

mP = mQ + mR

mP + mQ + mR = 180°

Substituting (mQ + mR) by mP in the second equation, we have:

mP + mP = 180°

mP = 90°

this right angle is the bigger angle in the triangle, because the sum of all three angles needs to be 180°.

Each exterior angle is the supplementary angle of the respective internal angle, so the bigger the internal angle, the smaller the external angle.

So if the bigger internal angle is mP = 90°, the smaller exterior angle is 180 - 90 = 90°.

Answer:

D. -1.5 cm/hour

Step-by-step explanation:

Rate of change = \( \frac{y_2 - y_1}{x_2 - x_1} \)

Using the coordinates of the two points on the line, (0, 18) and (4, 12),

Let,

\( (0, 18) = (x_1, y_1) \)

\( (4, 12) = (x_2, y_2) \)

Plug the values into the formula for rate of change.

Rate of change = \( \frac{12 - 18}{4 - 0} \)

\( = \frac{-6}{4} \)

Simplify

\( = \frac{-3}{2} = -1.5 \)

Rate of change = -1.5 cm/hour

Hi there!

a.

Recall the equation for a Taylor expansion:

\(P_n(x) = f(c) + \frac{f^{'}(x)}{1!}(x - c)^1 + ... +\frac{f^{n}(x)}{n!}(x - c)^n\)

**Where the numerator of the coefficient is the derivative evaluated at the point, and c = where the polynomial is centered.

We can plug in the given values to solve.

\(P_5(0.2) = f(0) + \frac{f^{'}(0)}{1!}(0.2 - 0)^1 + \frac{f^{''}(0)}{2!}(0.2 - 0)^2 + \frac{f^{'''}(0)}{3!}(0.2 - 0)^3 + \frac{f^{4}(0)}{4!}(0.2 - 0)^4 \\\\P_5(0.2) = 4 + \frac{5}{1}(0.2) + \frac{-1}{2}(0.2)^2 + \frac{-15}{12}(0.2)^3 + \frac{23}{4!}(0.2)^4\\\\P_5(0.2) = 4 + 1 -0.02 -0.01 + 0.0015 = \boxed{4.9715}\)

b.

At x = 0, f(x³) = f(x) because 0³ = 0, so we can simply take the derivative of the polynomial to find g'(x).

Differentiate the following.
\(P_5(x) = f(0) + \frac{5}{1!}(x- 0)^1 + \frac{-1}{2!}(x - 0)^2 + \frac{-15}{2* 3!}(x- 0)^3 + \frac{23}{4!}(x - 0)^4\)
Simplify:
\(P_5(x) = 4 + 5x+ \frac{-1}{2}x^2 + \frac{-15}{12}x^3 + \frac{23}{24}x^4\\\\\boxed{\frac{d}{dx}P_5(x) = 5 -x - \frac{15}{4}x^2 + \frac{23}{6}x^3}\)

c.

The third degree will include n = 0, 1, and 2. Also, c = 1 in this instance, so using the format above:
\(P_n(x) = f(1) + \frac{f^{'}(1)}{1!}(x - 1)^1 + +\frac{f^{''}(1)}{2!}(x - 1)^2\\\\= 8 + \frac{3}{1!}(x - 1)^1 +\frac{-2}{2!}(x - 1)^2\\\\\boxed{= 8 + 3(x - 1) -(x - 1)^2}\)

d.

Using the equation for the Lagrange error bound:
\(| R_n| \leq \frac{f^{n + 1}(z) |(x - c)|^{n+ 1}}{(n + 1)!}\)

\(f^{n+1} (z)\) is the maximum value of the fourth derivative (since we are doing a third-degree polynomial), which is given to us in the problem.

We also know that:
n = 3

c = 1

x = 1.1

We can plug in the values:

\(|R_n| \leq \frac{(300) |(1.1 - 1)|^{3+ 1}}{(3 + 1)!} = \frac{300(0.1^4)}{4!} = \boxed{0.00125}\)

De acuerdo con la información podemos inferir que la población se refiere a los habitantes de la ciudad y la muestra es 40,000 personas.

Para identificar la información faltante debemos tener en cuenta la información del enunciado. En este caso nos dicen que quieren implementar una revista en una ciudad determinada y para identificar los temas de la revista debemos hacer una encuesta.

En este caso, la entrevista se realiza a 40,000 personas por lo que esta sería la muestra debido a que no podríamos realizar la encuesta a cada una de las personas que es habitante de la ciudad.

Nota: Esta pregunta está incompleta. Aquí está la información completa:

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Answer: it is -1

Step-by-step explanation:

5*5x=25x

5*3=15

25x+15=-10

25x= -10-15

25x= -25

X=-25/25

= -1

The weight on the inflation gap has increased from 0.5 to 0.75. The real interest rate is 16.86% and Nominal interest rate is 20%

a. In the base scenario, the real interest rate will be 20%, and the nominal interest rate will be 20%.

b. In scenario B, inflation rate will be higher (4%) compared to the base scenario (3.14%).

Output gap is 0% in both the scenarios, however, in the base scenario inflation gap is 0% (3.14 - 3.14) and in scenario B, inflation gap is 0.86% (4 - 3.14).

Now, let's calculate the real interest rate.

Real interest rate in base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario B = 20% - 3.14% + 1.5 + 0.5 (4-3.14) + 0.5 (0-0/0)

= 19.22%.

The real interest rate has moved in the direction to move inflation rate towards its target.

c. In scenario C, the output gap will be 20% compared to 0% in the base scenario.

Inflation gap is 0% in both the scenarios

Inflation rate is 3.14% and in scenario C, inflation rate is 2%.

Let's calculate the real interest rate. Real interest rate in the base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.5 (3.14 - 3.14) + 0.5 (20-0/20)

= 20.15%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.75 (3.14-3.14) + 0.25 (20-0/20) = 18.78%.

The new policy rule has changed the weight of the output gap in the Taylor Rule from 0.5 to 0.25.

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Answer:

280

Step-by-step explanation:

560/2 = 280

Answer:

$1120

Step-by-step explanation:

$10 = 1 square inch

First, we need to figure out how many square inches the entire page is.

8 x 11 = 88

The entire page is 88 square inches and each square inch costs $10.

88 x 10 = 880

Answer: $880

Hope this helps

Answer:

if jack uses 10 cups of sugar he will need to use 6 tsp of vanilla extract

Step-by-step explanation:

10 devided by 2 1/2= 4

and 1/2 multiplied by 4 is 6

Answer:

2 tsp

Step-by-step explanation:

This is a ratio/ proportionality problem. The recipe calls for 2 1/2 cups of sugar, Jack uses 10 cups. Then 10/(2\(\frac{1}{2}\)) = 4, meaning he used 4 times the amount of sugar than in the original. Using that, just multiply \(\frac{1}{2}\) by 4 to get 4 times the vanilla of the og recipe, which equals 2 tsp.

Answer:

Step-by-step explanation:

option (d) 4hrs 40mins

Answer:

y = 2x + 6

slope = 2

y intercept = 6

y = x - 4 is  the equation of the line in slope-intercept form.

How do you interpret a slope-intercept form?

The data provided by that form can be used to graph a linear equation in slope-intercept form. As an illustration, the equation y=2x+3 indicates that the line's slope is 2 and that its y-intercept is located at (0,3). This reveals the single point at which the line passes as well as the direction in which we should draw the full line after that.

Point from graph = (2, -2 )

                slope (m) = y/x

                                = -2/2

                                = 1

slope-intercept form ⇒ y = mx + c    

                                        -2 = 1 * 2 + c

                                          - 2 = 2 + c

                                               c = -4

 slope-intercept form ⇒ y = x - 4

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Answer:

-6

Step-by-step explanation:

there is a negative so it's a negative number you add the equation you divide the answer by 2 then you get your answer.

Answer: 44 degrees

Step-by-step explanation: 59+77+x=180

x=44

Answer:

8

Hope This Helps1 :) Please give Brainliest if this does!

Refer to attachment below;

For any value of k and h = -18, the system will have infinitely many solutions.

Hence, option (b) is the correct choice.

A coefficient matrix in linear algebra is a matrix made up of the coefficients of the variables in a group of linear equations. In order to solve systems of linear equations, the matrix is employed.

The system will have infinitely many solutions when the determinant of the coefficient matrix is equal to 0.

The determinant can be calculated from the upper triangular matrix as the product of the diagonal elements, which is 0 * (-20) * (h + 18) = 0.

Therefore, the system will have infinitely many solutions when h + 18 = 0,

or h = -18.

This means the answer is (b) any value of k and h = -18.

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Answer:

59

Step-by-step explanation:

6 plus 4 equals 8 plus 9

The work required to pump the water out of the spout is approximately 64,307,077 ft-lb

To find the work required to pump the water out of the spout, we need to calculate the weight of the water in the tank and then convert it to work using the formula: work = force × distance.

First, let's calculate the volume of water in the tank. The frustum of a cone can be represented by the formula: V = (1/3)πh(r1² + r2² + r1r2), where r1 and r2 are the radii of the two bases and h is the height.

Given r1 = 3 ft, r2 = 6 ft, and h = 12 ft, we can calculate the volume:

V = (1/3)π(12)(9 + 36 + 18) = 270π ft³

Now, we can calculate the weight of the water using the density of water:

Weight = density × volume = 62.5 lb/ft³ × 270π ft³ ≈ 53125π lb

Next, we convert the weight to force by multiplying it by the acceleration due to gravity (32.2 ft/s²):

Force = Weight × acceleration due to gravity = 53125π lb × 32.2 ft/s² ≈ 1709125π lb·ft/s²

Finally, we can calculate the work by multiplying the force by the distance. Since the water is being pumped out of the spout, the distance is equal to the height of the frustum, which is 12 ft:

Work = Force × distance = 1709125π lb·ft/s² × 12 ft ≈ 20509500π lb·ft ≈ 64307077 lb·ft

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When a distribution has three or more peaks then it is said to be a multimodal distribution .

In histograms, there are often three types of distributions which are classified according to the number of peaks that they have . A unimodal distribution would be a histogram that has a single peak in its distribution .

Then there are binomial distributions which boast of having two peaks , Then finally, there is the multimodal distribution which is for all distributions with either three peaks, or more than that .

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Answer:

6 * (5 - x)

Step-by-step explanation:

This expression calculates the difference between 5 and x, and then multiplies it by 6. The difference is obtained by subtracting x from 5, and then the entire result is multiplied by 6.