the price of 41gram apple is 10.25 rupees.then how many rupees for 1 kg apple​

Answer:

it's 100

Step-by-step explanation:

70000

0000

600

80

1

I don't know if you understand

Answer:

2/21

Step-by-step explanation:

The first purple is 5/15 and the second is 4/14. Multiply them together to get 2/21.

The dimensions of the rectangular garden to maximize the area is length = width = 75 meters.

Let l be the length and w be the width of the rectangular garden.

We need to find the dimensions of the rectangular garden of greatest area that can be fenced off (all four sides) with 300 meters of fencing.

The perimeter of the  rectangular garden = 300 meters

We know that the perimeter of the rectangle =2(length + width)

300 = 2(l + w)

l + w = 150               .......(1)

Now, the maximum area of a  rectangular garden is when Length  = width

So, for equation 1

l + l = 150

l = 75 meters

So, w = 75 meters

And the area of the rectangular garden = length * width

                                                               = 75 * 75

                                                               = 5625 m²

So the maximum area of the  rectangular garden is 5625 m²

Therefore, the dimensions of the garden to maximize the area is length = width = 75 meters and maximum area is  5625 m²

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We first compute the partial derivatives of f(x, y):

f(x, y) = 5x² + 5y² - 10x + 21

∂f/∂x = 10x - 10

∂f/∂y = 10y

The critical points of f occur where both ∂f/∂x and ∂f/∂y are equal to zero. This only happens at the point (x, y) = (1, 0). (And this point does lie inside R.)

Next, compute the Hessian matrix H(x, y) for f :

\(H(x, y) = \begin{bmatrix}\frac{\partial^2f}{\partial x^2} & \frac{\partial^2f}{\partial x\partial y} \\ \frac{\partial^2 f}{\partial y\partial x} & \frac{\partial^2f}{\partial y^2}\end{bmatrix} = \begin{bmatrix}10&0\\0&10\end{bmatrix}\)

Since det(H(x,y)) = 100 is positive for all x and y, this means the critical point (1, 0) is a local minimum, and we have f(1, 0) = 16.

Next, we check for extrema along the boundary of R, which is comprised of a semicircle with radius 2 and the line segment connecting (-2, 0) and (2, 0).

• Parameterize the semicircular portion by

x(t) = 2 cos(t)

y(t) = 2 sin(t)

with 0 ≤ t ≤ π. Then

f(x(t), y(t)) = 20 sin²(t) + 20 cos²(t) - 20 cos(t) + 21

which is simplifies to a function of one variable t,

g(t) = 41 - 20 cos(t)

Find the extrema of g over the interval [0, π] : we have critical points when

g'(t) = 20 sin(t) = 0

which happens at t = 0 and t = π. At these points, we get local extreme values  of

•• t = 0   =>   x = 2 and y = 0   =>   f(2, 0) = 21

•• t = π   =>   x = -2 and y = 0   =>   f(-2, 0) = 61

• Over the line-segment portion, we take y = 0, so f(x, y) again reduces to a function of one variable:

f(x, 0) = 5x² - 10x + 21

Completing the square, we have

5x² - 10x + 21 = 5 (x - 1)² + 16

which has a maximum value of 16 when x = 1 (and this happens to be the critical point (1, 0) we found earlier).

So, over the region R, f(x, y) has

• an absolute maximum of 61 at the point (-2, 0), and

• an absolute minimum of 16 at (1, 0)

The images best represents the result is image W.

We have, the image is rotated about the x-axis.

Now, rotating around x axis can give the other half of the image.

Also, rotating about x axis gives the mirror image of the figure.

So, the rotation leads to a circle.

and, In three dimensional we can say that Sphere.

Thus, the required image is W.

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The probabilities are given as follows:

a) All 4 will fire: 0.0979 = 9.79%.

b) At most 2 will not fire: 0.8811 = 88.11%.

The mass probability formula is presented as follows:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

The parameters for this problem are given as follows:

N = 13, n = 4, k = 8.

The probability that all four fire is given as follows:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 4) = h(4,13,4,8) = \frac{C_{8,4}C_{5,0}}{C_{13,4}} = 0.0979\)

The probability that at most 2 will not fire is the probability that at least two fire, hence:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 2) = h(2,13,4,8) = \frac{C_{8,2}C_{5,2}}{C_{13,4}} = 0.3916\)

\(P(X = 3) = h(3,13,4,8) = \frac{C_{8,3}C_{5,1}}{C_{13,4}} = 0.3916\)

\(P(X = 4) = h(4,13,4,8) = \frac{C_{8,4}C_{5,0}}{C_{13,4}} = 0.0979\)

Hence:

P(X >= 2) = 0.3916 + 0.3916 + 0.0979 = 0.8811 = 88.11%.

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Answer:

f ( x ) = ( x - 5 ) ² - 20

Step-by-step explanation:

1- Add the same value to both sides

f ( x ) = x ² - 10x + 5

2- Add 25 to the expression

f ( x ) + ? = x ² - 10x + ? + 5

3- Add 25 to the left-hand side

f ( x ) + ? = x ² - 10x + 25 + 5

4- Factor the expression

f ( x ) + 25 = x ² - 10x + 25 + 5

5- Move the constant to the right

f ( x ) + 25 = ( x - 5 ) ² + 5

6- Calculate

f ( x ) = ( x - 5) ² + 5 - 25

It will help me a lot if you count me as brainlist anyways good luck!

Answer: f = x^2-7yx+4y^2-6y

Step-by-step explanation:

A vector field is conservative if the work done by that vector field around any loop is 0 or the end points only matter when calculating the work done, not the path in between (think of gravity). The curl(F) must equal 0.

curl(F) = ∇ x F =0

= det( \(\left[\begin{array}{ccc}\frac{d}{dx} &\frac{d}{dy} \\(2x-2y)&(-7x+8y-6)\end{array}\right]\) ) (***partial derv)

-7 - (-7) = 0

Yes, it is conservative, which means we can find the potentional energy function by turning the vector field into the gradient of scalar function.

\(f_x=2x-7y\\f_1=x^2-7yx+C(y)\\f_1y=-7x +C'(y)\\\\C'(y)=8y-6\\C(y)=4y^2-6y\\\\f=x^2-7yx+4y^2-6y\\\)

95% confidence interval for the true mean breaking strength of the white wood is (71.66 MPA, 78.74 MPA)

The result above means that the lower limit of the true mean breaking strength of the white wood is 69.89 MPA and the upper limit is 81.51 MPA.

The definition says, "A confidence interval is a range of values ​​derived from a sample statistic that likely includes the value of an unknown population parameter."

To calculate the confidence interval, we need to know three parameters of the sample: the mean (average value) μ, the standard deviation σ, and the sample size n (number of measurements). Then you can calculate standard error and tolerance using the following formulas:

                      standard error = σ/√n

Given in the question:

Confidence interval = mean + or - Error margin (E)

Mean = 75.2 MPA

Standard deviation = 8.6 MPA

Sample size, n = 25

Now,

Degree of freedom = n - 1 = 25 - 1 = 24

Confidence level (C) = 95% = 0.95

Significance level = 1 - C

                              = 1 - 0.95

                              = 0.05 = 5%

Therefore, t-value corresponding to 24 degrees of freedom and 5% significance level is 2.06

Again,

E = t × sd/√n

  = 2.06 × 8.6/√25

  = 2.06 × 1.72

  = 3.54 MPA

Lower limit = Mean - E

                  = 75.7 - 5.81

                  = 69.89 MPA

Upper limit = Mean + E

                   = 75.7 + 5.8

                   = 81.51 MPA

95% confidence interval is (69.89 MPA, 81.51 MPA)

The result means that the true mean breaking strength of the white wood is between 69.89 and 81.51 MPA.

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Answer:

5

20

5

Step-by-step explanation: srry im late

Answer:

First 5, Second 20, third 5.

Step-by-step explanation:

:D

Answer:

Its either A or D because its reflection so that cancels out B and C

im not sure if this helps u or not but at lest it cancels out 2 of the options

The reflection of a horizontal line has the same result as a rotation of 90 degrees clockwise.

Step-by-step explanation:

When an image is rotated 90 degrees counterclockwise the shape is still congruent but in a different quadrant. The same is true when an image is reflected across a horizontal line.

a) The conjugate is (4+√3).

b) The simplest form is 5(4+√3)/13.

What is conjugate?

In mathematics, a pair of binomials with identical phrases that part opposite arithmetic operators in the midst of these similar terms are referred to as conjugates. For instance, the conjugate of p + q is p - q.

When the first type of binomial occurs in the denominator of fractions, conjugates are used to rationalize the denominator.

Here, we have

Given: 5/(4-√3)

We have to find the conjugate of a given term.

a) The conjugate of a given term is

5/(4-√3) = 5/(4-√3) × (4+√3)

Hence, the conjugate is (4+√3).

b) Now, we solve

= 5/(4-√3) × (4+√3)/(4+√3)

= 5(4+√3)/16 - 3

= 5(4+√3)/13

Hence, the simplest form is 5(4+√3)/13.

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Answer:

Its either C or D but i think its D

Step-by-step explanation:

Answer:

113.75

Step-by-step explanation:

The statement that is the best interpretation of the mean is that the long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week.

The data of the number of days members visited a certain fitness center varied from 0 to 7.

The mean of the random variable x = 3.12

The mean of the random variable is also known as the long-run average value of a random variable.  

Hence, we conclude that the best interpretation of the mean in the given question is that the long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week.

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The other point through which a line that describes a proportional relationship must pass is the point (0, 0)

A proportional relationship is one in which each the ratio of the x and y–values of each point on the line of the function is a constant.

The given relationship described by the line = A proportional relationship

The given point on the line = (6, 2)

Required; The other point through which the line must pass.

Given that the relationship described by the line, the ratio of all points on the line is a constant and each point (x, y) can be expressed in the form;

y = K•x

Which gives;

\( \displaystyle{ K = \frac{y}{x} }\)

Where, K is a constant which is not equal to zero.

From the zero product property, which states that the product of all numbers and zero is also zero, we have;

When x = 0, k × 0 = 0 = y

A point through the line must pass is therefore; (0, 0)

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Answer:

me too (help)

Step-by-step explanation:

From the table , the insurance cost for the second year based on the prescription given is : $1329

Using the prescription table, the six cylinder compact , second year car with a mileage of 14000 falls in the mid table category with the 13000 mileage label .

The operating cost in insurance for the second year is therefore $1329.

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200 pounds need to collect to earn the $50.00. Divide the cost per pound from the total amount needed, \(\frac{50.00}{0.25}\)= 200 pounds.

The official money of the U.k. and its regions is the GBP, or British pound sterling. The Pound is the earliest currency that is still accepted as legal tender in the entire world. The GBP, represented by pound sign (£), has one of the greatest trade volumes worldwide.

The development of the pounds sterling -The Latin word "libra," which means balance and weight, is where the name "pound sterling" comes from. During the years, the pound banknotes underwent various revisions before being initially printed by the Bank of England and over 300 years ago.

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The departments that account for one-fourth of the annual budget are sales, engineering and research departments

The pie chart that completes the question is added as an attachment.

From the attached image, we can see that each of the sales, engineering and research departments take 1/4 of the pie chart

Hence, the departments that account for one-fourth of the annual budget are sales, engineering and research departments

In (a), we have:

Engineering = 1/4 or 25%

From the graph

Support = 1/8 or 12.5%

So, the combined percentage is:

Combined = 25% + 12.5%

Evaluate

Combined = 37.5%

Approximate

Combined = 40%

In (a), we have:

Engineering = 1/4 or 25%

From the graph

Support = 1/8 or 15%

So, the combined percentage is:

Combined = 25% + 15%

Evaluate

Combined = 40%

From the graph;

Media = 1/3 of support.

So, we have:

Media = 1/3 of 15%

Evaluate

Media = 5%

Hence, the annual budget of media is 5%

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Answer:A

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the number that Grace thought:

We'll represent the unknown number as "x."

"Added 7": This can be represented as (x + 7).

"Multiplied by 3": This becomes 3 * (x + 7).

"Took away 5": This is represented as 3 * (x + 7) - 5.

"Divided by 4": This gives (3 * (x + 7) - 5) / 4.

"To give an answer of 7": The equation is (3 * (x + 7) - 5) / 4 = 7.

Now we can solve for x:

(3 * (x + 7) - 5) / 4 = 7

Multiply both sides by 4 to eliminate the denominator:

3 * (x + 7) - 5 = 28

Simplify the left side:

3x + 21 - 5 = 28

Combine like terms:

3x + 16 = 28

Subtract 16 from both sides:

3x = 12

Divide both sides by 3:

x = 4

Therefore, the number that Grace thought of is 4.

Answer:

Number 3

Step-by-step explanation:

2 * 5 = 10

Answer: Answer 3

Step-by-step explanation:

2(5)=10

10=10

Answer:AB = 5/2 and CD = 2/-5, perpendicperpendicular

Step-by-step explanation:

0+5 = 5

2+2=4

1+2=3

8-5=3

Answer:

y = 12 x = 12\(\sqrt{3}\)

Step-by-step explanation:

This is a 60, 90, 30. It's a special triangle.

2z = 24

z = 12

If x = z\(\sqrt{3}\)

then x = 12\(\sqrt{3}\)

y = z itself

So y = 12

Answer:

The intersection of sets X and (X - Y) is equal to the set X minus Y.

or

X ∩ (X - Y) = X - Y

Step-by-step explanation:

The intersection of sets X and (X - Y) can be written as:

X ∩ (X - Y)

We know that (X - Y) represents the set of elements that are in X but not in Y. Therefore, the elements in the intersection of X and (X - Y) must be in both sets.

Let's say a particular element x is in both sets. This means that x is in X and x is in (X - Y). But if x is in (X - Y), then it is in X but not in Y. So, x is in X and not in Y. This implies that x is in the set X intersect Y, since it is in X and it is also in the set of elements that are in both X and Y.

Therefore, we can conclude that:

X ∩ (X - Y) = X - Y

Answer:

Step-by-step explanation:

Assuming that "X" refers to a set and "x" and "y" refer to elements of sets, the expression "X intersection of sets x minus y" is not well-formed.

To take the intersection of sets, we need to have two or more sets. So, if we assume that "x" and "y" are themselves sets, we could write the expression as follows:

X ∩ (x \ y)

In this expression, "∩" is the intersection operator, and "" is the set difference operator. So "x \ y" is the set of elements in "x" that are not in "y", and the intersection of that set with "X" gives us the elements that are in both "X" and "x", but not in "y".

For example, if we had:

X = {1, 2, 3, 4}

x = {2, 3, 5, 6}

y = {3, 4, 6, 7}

Then:

x \ y = {2, 5}

X ∩ (x \ y) = {2}