The manager of a fashionable restaurant open Wednesday through Saturday says that the restaurant does about 23 percent of its business on Friday night, 37 percent on Saturday night, and 27 percent on Thursday night. What seasonal relatives would describe this situation

Answer:

11.5% loss

Step-by-step explanation:

Discount = 25%

SP= 1425

MP= CP+18%

Profit or loss% - ?

---------

SP= MP- 25%= MP*0.75= 1425

MP= 1425/0.75= 1900

MP= CP+18%= CP*1.18

CP= MP/1.18= 1900/1.18 ≈ 1610.17

SP< CP, so there is loss

Loss%= (1610.17- 1425)/1610.17*100%= 11.5%

Answer:

The value of the equation will be 14

Answer:

2>x

Step-by-step explanation:

-6>10 - 8x.

Simplify it to get

-16>-8x

Simplify it again to get rid of the negatives. (Divide everything by -1)

16>8x

Simplify again

2>x

On average, it takes approximately 14 minutes for a plane to complete the entire arriving process, from radioing the control tower to landing on the runway, in the morning at Nogan Airport.

To determine the average time that elapses between a plane radioing the control tower and its completion of the entire arriving process in the morning, we need to consider the different steps involved in the process.

Radioing the control tower: The time between two consecutive arriving requests follows an exponential distribution with an average of 10 minutes. Hence, on average, it takes 10 minutes for a plane to radio the control tower after the previous plane.

Assigning position in queue: The air traffic controller assigns the plane a position in the queue on a first-come-first-serve basis, implying that there is no additional delay for this step.

Landing on the runway: Once the plane reaches the front of the queue, it lands on the runway. The time it takes for a plane to use a runway, either for landing or departing, follows an exponentially distributed process.

Since the runway dedicated to arrival can serve 15 flights per hour, the average time it takes for a plane to complete the landing process is 1/15 hour, or 4 minutes.

Considering these steps, the average time that elapses between a plane radioing the control tower and completing the entire arriving process in the morning can be calculated as follows:

Average time = Time to radio the control tower + Time to land on the runway

= 10 minutes + 4 minutes

= 14 minutes

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The measure of the angle between the two planes is given as follows:

66.1º.

The Law of Cosines is a trigonometric formula that relates the lengths of the sides of a triangle to the cosine of one of its angles. It is also known as the Cosine Rule.

The Law of Cosines states that for any triangle with sides a, b, and c and angle C opposite to side c, the following equation holds true:

c^2 = a^2 + b^2 - 2ab cos(C)

The side opposite to the angle is of 241 km, hence the parameters are given as follows:

c = 241, a = 207, b = 233.

Then the angle measure is obtained as follows:

241² = 207² + 233² - 2 x 207 x 233cos(C)

96462cos(C) = 207² + 233² - 241²

96462cos(C) = 39057

cos(C) = 39057/96462

cos(C) = 0.4049

C = arccos(0.4049)

C = 66.1º.

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Answer:

The given statement is true.

Step-by-step explanation:

Given function is:

\(P(x) = x^4 - 2x^3 - x+2\)

And the given point is:

(1,0)

In an ordered pair, the first element is the input and second is the output. If we plug in the input to the function and get the respective output then the point lies on the graph of function.

For (1,0) we will put x = 1 in function and check whether we get 0 as output

\(P(x) = (1)^4 - 2(1)^3 - 1+2\\= 1-2(1)-1+2\\= 1-2-1+2\\=0\)

Hence,

The given statement is true.

Answer:

A. True

Step-by-step explanation:

Answer:

angle 8= 120 degrees

angle 7= 60 degress

Step-by-step explanation:

So since it's a line, they will equal 180. So since angle 7 is half of 8 we need to a pair of numbers that add to 180. So you can find out that 120/2 is 60. Then 60+120=180

Answer:

1.20833333333

Answer:

m=-5/2 b=2

Step-by-step explanation:

It goes over 2 times ever time it goes down 5 times. and when the y is 0 the x is 2

a) U is subspace of R^3.

b) The set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.

c) 2.

a) To show that U is a subspace of R^3, we need to verify the following three conditions:

i) The zero vector (0, 0, 0) is in U.

ii) U is closed under addition.

iii) U is closed under scalar multiplication.

i) The zero vector is in U since 0 + 2(0) - 3(0) = 0.

ii) Let (x1, y1, z1) and (x2, y2, z2) be two vectors in U. Then we have:

x1 + 2y1 - 3z1 = 0 (by definition of U)

x2 + 2y2 - 3z2 = 0 (by definition of U)

Adding these two equations, we get:

(x1 + x2) + 2(y1 + y2) - 3(z1 + z2) = 0

which shows that the sum (x1 + x2, y1 + y2, z1 + z2) is also in U. Therefore, U is closed under addition.

iii) Let (x, y, z) be a vector in U, and let c be a scalar. Then we have:

x + 2y - 3z = 0 (by definition of U)

Multiplying both sides of this equation by c, we get:

cx + 2cy - 3cz = 0

which shows that the vector (cx, cy, cz) is also in U. Therefore, U is closed under scalar multiplication.

Since U satisfies all three conditions, it is a subspace of R^3.

b) To find a basis for U, we can start by setting z = t (where t is an arbitrary parameter), and then solving for x and y in terms of t. From the equation x + 2y - 3z = 0, we have:

x = 3z - 2y

y = (x - 3z)/2

Substituting z = t into these equations, we get:

x = 3t - 2y

y = (x - 3t)/2

Now, we can express any vector in U as a linear combination of two vectors of the form (3, -2, 0) and (0, 1/2, 1), since:

(x, y, z) = x(3, -2, 0) + y(0, 1/2, 1) = (3x, -2x + (1/2)y, y + z)

Therefore, the set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.

c) Since the basis for U has two elements, the dimension of U is 2.

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Answer:

no,

Step-by-step explanation:

because 3, and 10 are not even when multiplied in the equasion.

Answer:

That statement is true, if you set y to 3 and x to 10 in this problem.

\(y(3+1) = 4\\2 * x(10 + 4) = 24\)

Answer:

1/4

Step-by-step explanation:

To find the rate of change, we can find the slope using the formula [ y2-y1/x2-x1 ].

5-4.5/20-18

0.5/2

1/4

Best of luck!

The equation\(y ′ = 4y − 3x/ (12xy − 1)\) is not separable , the given statement is False.  A differential equation is said to be separable if it can be written in the form `dy/dx = f(x)g(y)`. It can then be separated into two separate equations in the form of`g(y)dy = f(x)dx`, and then integrated on both sides to get the general solution.

In this equation,\(y' = 4y − 3x/ (12xy − 1)\)is not separable because the variable x and y can not be separated. we cannot write the equation in the required form. The equation is not a separable equation. In conclusion, the statement that the equation\(y' = 4y − 3x/ (12xy − 1)\) is separable is False because the equation cannot be separated into two different variables x and y.

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Answer:

1. 53 2. 21

Step-by-step explanation:

The most appropriate outcome for a patient with a nursing diagnosis of Constipation related to slowed gastrointestinal motility secondary to pain medications would be: a. Patient will have one soft, formed bowel movement by end of shift.

The outcome of "Patient will have one soft, formed bowel movement by the end of the shift" is the most appropriate for a patient with the nursing diagnosis of Constipation related to slowed gastrointestinal motility secondary to pain medications.

This outcome is specific and directly addresses the issue of constipation. It sets a clear goal for the patient to achieve a single bowel movement that is soft and formed, indicating improved bowel function. By specifying "by the end of the shift," it provides a time frame for assessing the outcome and allows for evaluation of the patient's progress.

The outcome focuses on the desired result, which is to alleviate constipation and improve gastrointestinal motility. It takes into consideration the impact of pain medications, which can contribute to slowed bowel movements. By aiming for a soft and formed bowel movement, it indicates the goal of promoting regular and healthy bowel function for the patient.

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The price is $14 for each novel and $25 for each Cookbooks when a bookstore made $167 on the sale of 3 new novels and 5 copies of a new cookbook.

Given that,

A bookstore made $167 on the sale of 3 new novels and 5 copies of a new cookbook. Three cookbook copies and one copy of the brand-new book were sold the next day, bringing in $89 for the company.

We have to find what the cost of each book was.

We know that,

A bookstore took in$ 167 on the sale of 5 copies of a new cookbook and 3 copies of a new novel.

The next day it took in $ 89 on the sale of 3 copies of the cookbook and 1 copy of the novel.

An algebraic expression-based system of equations is a collection of relationships between several unknown variables.

Now,

Let x= cookbook and y= novel.

So,

On first day, 5x + 3y = 167----->equation(1)

On second day, 3x + 1y = 89----->equation(2)

These equations must be solved in order to determine the cost of each book.

From equation(2), we get;

y = 89 - 3x

Now we use this x solution to solve our first equation.

We get;

5x + 3(89-3x) = 167

5x + 267 - 9x = 167

267-167 = 9x - 5x

100 = 4x

x = 25

So, The price is $25 for the each Cookbooks.

Now, By substituting $25 for x in the second equation, we must get the value of y.

y=89-3(25)

y=89-75

y=14

So, The price is $14 dollars for each novel.

So,

Therefore, The price is $14 for each novel and $25 for each Cookbooks when a bookstore made $167 on the sale of 3 new novels and 5 copies of a new cookbook.

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Answer:

7 26/15

Step-by-step explanation:

all you have to do is add 15 to the 11.

Answer:

b = - 1.09

Step-by-step explanation:

- 2.9 + b ÷ 0.1 = - 39.9

- 2.9 + b ÷ 0.1 × 0.1 = - 39.9 × 0.1

- 2.9 + b = - 3.99

- 2.9 + 2.9 + b = - 3.99 + 2.9

b = - 1.09

Answer:

Exact form

b=-37/10

Decimal form

b=-3.7

Mixed Number form

b+-3 7/10

Step-by-step explanation:

-2.9+b/1/10+-39.9

-2.9+10b+-39.9

10b=-39.9+2.9

10b=-37

b=-37/10

Answer:

I believe its 1, 2, and 4

Step-by-step explanation:

hope I helped I may be wrong tho

.................................................

Answer:

100

Step-by-step explanation:

because it seems right

Answer:

C. 1

Step-by-step explanation:

The sum of relative frequencies in a distribution always equals 1

The probability of choosing all five white balls correctly from a bowl of 69 white balls and the probability of choosing the correct red ball from a bowl of 29 red balls is \({}^{69}C_5/29\) .

The probability of choosing all five white balls correctly can be calculated using the formula for combinations, where the order does not matter and the balls are chosen without replacement. The probability is given by:

P(Choosing all 5 white balls correctly) = (Number of ways to choose 5 white balls correctly) / (Total number of possible combinations)

The number of ways to choose 5 white balls correctly is 1, as there is only one correct combination.

The total number of possible combinations can be calculated using the formula for combinations, where we choose 5 balls out of 69. It is given by:

Total number of combinations = \({}^{69}C_5\)

Next, we need to calculate the probability of choosing the correct red ball from a bowl of 29 red balls. Since there is only one correct red ball, the probability is 1/29.

Finally, to find the likelihood of being the winner of the Powerball lottery, we multiply the probability of choosing all five white balls correctly by the probability of choosing the correct red ball:

Likelihood = P(Choosing all 5 white balls correctly) * P(Choosing correct red ball)

=\({}^{69}C_5 \times 1/29\\\)

This gives us the probability of being the winner of the Powerball lottery.

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If 1472cm² of wrapping paper is needed to cover the smaller box, approximately 1672cm² of wrapping paper is needed to cover the larger box (assuming the surface area is directly proportional to the length).

Since the smaller and larger boxes have exactly the same shape, we can assume that their dimensions are proportional.

Let's denote the width and height of the smaller box as "w" and "h," respectively, and the width and height of the larger box as "W" and "H," respectively.

We know that the length of the smaller box is 16 cm, so we have:

Length of smaller box = 16 cm

Width of smaller box = w

Height of smaller box = h

To find the dimensions of the larger box, we can set up a proportion based on the lengths of the boxes:

16 cm / 18 cm = w / W

From this proportion, we can solve for W:

\(W = (18 cm \times w) / 16 cm\)

Now, let's consider the surface area of the boxes.

The surface area of a box is given by the sum of the areas of its six faces. Since the boxes have the same shape, the ratio of their surface areas will be equal to the square of the ratio of their lengths:

Surface area of smaller box / Surface area of larger box = (16 cm / 18 cm)^2.

We know that the surface area of the smaller box is 1472 cm^2, so we can set up the equation:

\(1472 cm^2\) / Surface area of larger box \(= (16 cm / 18 cm)^2\)

To find the surface area of the larger box, we rearrange the equation:

\(Surface $area of larger box = 1472 cm^2 / [(16 cm / 18 cm)^2]\)

Now we can substitute the value of W into the equation to find the surface area of the larger box:

Surface area of larger box \(= 1472 cm^2 / [(16 cm / 18 cm)^2] = 1472 cm^2 / [(18 cm \times w / 16 cm)^2]\)

\(= 1472 cm^2 / [(18 \times w / 16)^2] = 1472 cm^2 / [(9w / 8)^2]\)

\(= 1472 cm^2 / [(81w^2 / 64)]\)

Simplifying further:

Surface area of larger box \(= (1472 cm^2 \times 64) / (81w^2)\)

So the amount of wrapping paper needed to cover the larger box is given by the surface area of the larger box, which is:

\((1472 cm^2 \times 64) / (81w^2)\)

Note that we don't have enough information to calculate the exact value of the wrapping paper needed to cover the larger box since we don't know the width "w" of the smaller box.

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Answer:   B

Step-by-step explanation:   \(8x-5x=3x\\3+9=12\\\)

Hope this helps any

Answer:

B. 3x+12

Step-by-step explanation:

8x+3-5x+9

First combine the x. So, 8x-5x=3x

Next combine the 3 and the 9. So, 3+9=12

After you combined like terms your equation now looks like: 3x+12

Hope it helped you.

Based on the given data; the table represent an inverse variation and the equation that model the data in the table is y = 8/x

y = k × x

4 = k × 2

4 = 2k

k = 4/2

k = 2

when y = 2 and x = 4

y = k × x

= 2 × 4

y = 8

y = k/x

4 = k / 2

8 = k

when y = 2 and x = 4

y = k/x

2 = k/4

2 × 4 = k

k = 8

So,

y = k/x

y = 8/x

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Answer:

Larger number=21

Smaller number=20

Step-by-step explanation:

20+21=41

21-20=1

Answer:

125

Step-by-step explanation:

5x5=25

then 25x5=125

Answer:

125

Step-by-step explanation:

5*5= 25

25*5= 125

I hope this helps!!!!