amantha went shopping and decided to purchase a necklace for 35% off the regular price of $44. If Samantha buys the necklace today, she will save an additional 5%. Find the sale price of the necklace with both discounts. just need answer will give brainliest giving a lot of points will five star

Answer:A

Step-by-step explanati

- ET (Effective Time): 114 minutes

- fhv (Flow rate of heavy trucks): 330 heavy trucks/hour

- vp (Volume of heavy trucks): 37,620 heavy truck-vehicle-miles

- BP (Base Probability): 0.285

- c (Capacity): Approximately 1,711 vehicles/hour

- S (Saturation flow rate): Approximately 2,393 vehicles/hour

- D (Demand): 132,000 vehicles

- Level of Service (LoS): E or F (indicating unstable flow and congestion)

Step 1: Calculate the Effective Time (ET)

ET is the time taken by a vehicle to traverse the segment, including the time spent in the queue. We can calculate it using the following formula:

ET = Free flow travel time × (1 + PHF)

Given:

Free flow travel time = 1 hour (60 minutes)

PHF = 0.90

ET = 60 × (1 + 0.90)

ET = 60 × 1.90

ET = 114 minutes

Step 2: Calculate the Flow rate of heavy trucks (fhv)

fhv is the flow rate of heavy vehicles (trucks) on the freeway. We'll calculate it using the following formula:

fhv = Total flow rate × Percentage of heavy trucks

Given:

Total flow rate = 2,200 vehicles/hour

Percentage of heavy trucks = 0.15

fhv = 2,200 × 0.15

fhv = 330 heavy trucks/hour

Step 3: Calculate the Volume of heavy trucks (vp)

vp is the volume of heavy vehicles (trucks) on the freeway. We'll calculate it using the following formula:

vp = fhv × ET

vp = 330 × 114

vp = 37,620 heavy truck-vehicle-miles

Step 4: Calculate the Base Probability (BP)

BP is the base probability of a vehicle being in the queue. We'll calculate it using the following formula:

BP = vp / (Total flow rate × ET)

BP = 37,620 / (2,200 × 60)

BP = 37,620 / 132,000

BP ≈ 0.285

Step 5: Calculate the capacity (c)

c is the maximum flow rate a facility can handle under ideal conditions. We'll calculate it using the following formula:

c = Total flow rate / (1 + BP)

c = 2,200 / (1 + 0.285)

c = 2,200 / 1.285

c ≈ 1,711 vehicles/hour

Step 6: Calculate the Saturation flow rate (S)

S is the maximum flow rate a facility can handle under saturated conditions. We'll calculate it using the following formula:

S = c / (1 - BP)

S = 1,711 / (1 - 0.285)

S = 1,711 / 0.715

S ≈ 2,393 vehicles/hour

Step 7: Calculate the Demand (D)

D is the total number of vehicles on the freeway. We'll calculate it using the following formula:

D = Total flow rate × ET

D = 2,200 × 60

D = 132,000 vehicles

Step 8: Determine the Level of Service (LoS)

LoS can be determined based on the ratio of demand (D) to the capacity (c). We'll use the following table to find the appropriate LoS:

-----------------------------------------------------------

| D/c ratio  | LoS         | Description                    |

-----------------------------------------------------------

| < 0.70     | A           | Free flow                      |

| 0.70-0.80  | B           | Reasonably free flow           |

| 0.80-0.90  | C           | Stable flow, near capacity     |

| 0.90-1.00  | D           | Approaching unstable flow       |

| > 1.00     | E or F      | Unstable flow, congestion       |

-----------------------------------------------------------

Given:

D = 132,000 vehicles

c ≈ 1,711 vehicles/hour

D/c ratio = 132,000 / 1,711

D/c ratio ≈ 77.08

Since the D/c ratio is significantly greater than 1.00, the Level of Service (LoS) would be E or F, indicating unstable flow and congestion.

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The optimal solution for the given linear programming model is:

max z = 38

when x1 = 5, x2 = 10, x3 = 0

To solve the given linear programming model using the simplex algorithm, we start by converting the inequalities into equations and introducing slack variables. The initial tableau is constructed with the coefficients of the decision variables and the right-hand side constants.

Next, we apply the simplex algorithm to iteratively improve the solution. By performing pivot operations, we move towards the optimal solution. In each iteration, we select the pivot column based on the most negative coefficient in the objective row and the pivot row based on the minimum ratio test.

After several iterations, we reach the optimal tableau, where all the coefficients in the objective row are non-negative. The optimal solution is obtained by reading the values of the decision variables from the tableau.

In this case, the optimal solution is z = 38 when x1 = 5, x2 = 10, and x3 = 0. This means that to maximize the objective function, the decision variables x1 and x2 should be set to 5 and 10 respectively, while x3 is set to 0.

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Answer:

5

Step-by-step explanation:

let width be x

and because length is 11 times more than the width, therefore length equals to 11x

hence the equation equals to

area = length x width

60 = 11x + x

60 = 12x

x = 60/12

therefore, the width of the rectangle is 5

Answer:

50 percent of error

Step-by-step explanation:

((experiment - real)/real) x 100 = the percentage

(12-8) = 4

4/8 = .5

.5 x 100 = 50%

Answer:

20100

Step-by-step explanation:

There are 200 numbers in this addition problem. To add this, we can do 1 + 200, 2 + 199, 3 + 198 and so on. All of these pairs have a sum of 201 and since there are 200 / 2 = 100 pairs the answer is 201 * 100 = 20100.

Answer: 206

Step-by-step explanation:

Answer:

\(first \: answer \: is \: true\)

The normal vector, f, to the surface of the inner conductor is a unit vector in the radial direction, pointing away from the conductor.

a. The normal vector, f, to the surface of the inner conductor is a unit vector in the radial direction, pointing away from the conductor.

b. The boundary condition at the surface of the conductor (medium 2) is that the normal component of the electric field is equal to the surface charge density.

c. The boundary condition in the dielectric (medium 1) is that the tangential component of the electric field is equal to zero.

d. The surface charge density, Ps, at the surface of the conducting cylinder is P.

The complete question is:

An infinitely long conducting cylinder of radius a (medium 2) has a surface charge density P. The cylinder is surrounded by a dielectric (Er = 4, medium 1) that contains no free charges (that is to say p = 0 inside the dielectric). Defining 2 as the axis of the conducting cylinder, the electric field, E, inside the dielectric medium (whenra) is found as: E = Er*sin(θ)/r.

a. What is the normal vector, f, to the surface of the inner conductor?

b. What is the boundary condition at the surface of the conductor (medium 2)?

c. What is the boundary condition in the dielectric (medium 1)?

d. What is the surface charge density, Ps, at the surface of the conducting cylinder?

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Answer:

Surface area of triangular prism = 528

Step-by-step explanation:

Surface area of triangular prism = (Base x Height) + 2 (length x side) + (length x base)

SA = bh + 2Ls + Lb

Putting given values : b = Y = 5 , h = 9 , s = x = 9 , L = z = 21

(5 x 9) + (2 x 21 x 9) + (21 x 5)

= 45 + 378 + 105

528

Therefore, the distance between Clue 1 and Clue 2 on the map is approximately 11.7 units.

In mathematics, a coordinate is a set of values that specifies the position of a point, line, or other geometric object in space. Coordinates are usually given as a pair of numbers, called ordered pairs, which represent the horizontal and vertical distances from a fixed reference point, called the origin. In two-dimensional (2D) Cartesian coordinates, which are the most commonly used type of coordinates, the first number in the ordered pair represents the horizontal distance, or x-coordinate, and the second number represents the vertical distance, or y-coordinate. The x-coordinate is usually written first, followed by the y-coordinate in parentheses. For example, the point (2, 3) represents a point that is 2 units to the right and 3 units up from the origin.

Here,

To find the distance between the two points (5, 5) and (16, 1) on the coordinate grid, we can use the distance formula:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

where (x₁, y₁) = (5, 5) and (x₂, y₂) = (16, 1)

d = √[(16 - 5)² + (1 - 5)²]

= √[(11)² + (-4)²]

= √(121 + 16)

= √137

≈ 11.7

Rounded to the nearest tenth, the distance is 11.7 units.

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Answer:

C

Step-by-step explanation:

Trust me on this one

Answer:

8) 27.75

10) See down below. May be 1.83 OR 123.75, depending on what your problem says

Step-by-step explanation:

Problem 8)

Let's first take apart \(2^{3}\), which will be 8. Now, let's plug that back into the equation real quick:

12 + (8 ÷ \(\frac{2}{3}\)) + 3.75

Since dividing a fraction can also be equal to multiplying the reciprocal of that same fraction, ÷ \(\frac{2}{3}\) can be re-written as: * \(\frac{3}{2}\)

Let's put that into the equation now and solve:

12 + (8 * \(\frac{3}{2}\)) + 3.75

= 12 + 12 + 3.75

= 27.75

Problem 10) (I'm unsure if the sign after 80 is ÷ or +, but I'll do equations for both)

(If the sign after 80 is ÷, check these steps on how to solve):

Same methods as problem 8. Let's first break down \(4^{2}\), which will be 16. Then, let's set the ÷ \(\frac{2}{5}\) to * \(\frac{5}{2}\) and solve:

80 ÷ (16 * \(\frac{5}{2}\)) + 3.75

= 80 ÷ (40) + 3.75

= \(\frac{80}{40+3.75}\)

= 1.82857

(If the sign after 80 is +, check these steps):

80 + (16 * \(\frac{5}{2}\)) + 3.75

= 123.75

Answer:

7

Step-by-step explanation:

If the bell tolls every 30mins on the hour and at half past the hour, then the bell will toll at 12 noon, 12:30pm, 1pm, 1:30pm, 2pm, 2:30pm and 3pm which is 7 times.

i hope is help

Answer:

-2-24i

Step-by-step explanation:

vector addition

let x be the value without the vector I

x+7+5=10

x=10-12

x=-2

let y be the value with the vector I

y-3+9+13= -5

y +19= -5

y= -24

Therefore, the rank of matrix 'a' in this case would be 5.

To find the rank of a matrix, we need to perform row reduction to obtain its row echelon form (REF) or reduced row echelon form (RREF). However, since the matrix 'a' is not provided, I cannot perform the calculations or determine its rank.

The rank of a matrix is equal to the number of non-zero rows in its row echelon form or reduced row echelon form. If the system of equations 'ax = 0' has a two-dimensional solution space, it means that the rank of matrix 'a' is less than the number of columns (6) but greater than 4 (since the solution space is two-dimensional).

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From the problem, the cost of 12 oz honey is $5.40

a. the cost of honey per ounce will be :

The answer is $0.45 per ounce.

b. the amount of honey per dollar will be :

The answer is 2.22 oz per dollar

c. when h = ounces of honey and c = cost in dollar

The equation will be :

For the cost of honey per ounce :

For the amount of honey per dollar :

d. Graphing one equation, we will graph c = 0.45h

A line with points (0, 0) and (12, 5.40)

x-axis will be the amount of honey

y-axis will be the cost in dollar.

Answer:

(-8,1)

Step-by-step explanation:

You can substitute one equation into the other to work this out.

Since y=2x+17, we can replace y in the first equation with 2x+17, giving a result of -x+2x+17=9.

From there, you can combine the x (-1x+2x=1x) to get x+17=9.

Subtracting 7 from both sides isolates x, leaving x=-8.

We can use the x value to work out the y by substituting it into either equation (I'm going to use the second one).

This gives y=2×-8+17, which can be solved to y=-16+17, and further to y=1.

This makes the point of intersection (-8,1), as those are the shared values.

**This involves simultaneous equations, which you may wish to revise. I'm always happy to help!

Answer:

The 3, and -4 are the places where you start, then just graph 1/2 and -3 as slope

Step-by-step explanation:

Step-by-step explanation:

you start at -4 and then you go down 3 and to the right 2

So, by definition, a primary key must be unique and must have a value that is not null.

A primary key is a column or set of columns in a relational database table that uniquely identifies each row or record in that table.

By definition, a primary key must be unique, which means that no two rows in the table can have the same value in the primary key column(s).

This uniqueness constraint is enforced by the database management system (DBMS) when inserting, updating, or deleting data in the table.

In addition to being unique, a primary key must also have a value that is not null, which means that every row in the table must have a value in the primary key column(s).

This ensures that each row can be uniquely identified and accessed.

The primary key is used as a reference by other tables in the database, which may have relationships with the primary key column(s) in the table.

For example, a foreign key is a column in one table that references the primary key column(s) in another table.

This allows the DBMS to enforce referential integrity between the tables, which means that data in the database is consistent and accurate.

In summary, a primary key is a fundamental concept in relational database design, and it plays a critical role in ensuring data integrity and consistency.

By definition, a primary key must be unique and must have a value that is not null, which allows each row in the table to be uniquely identified and accessed.

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The function that has a vertex on the y-axis is f(x) = (x - 2)(x + 2)

For a function to have its vertex on the y-axis, then the coordinate of the vertex must be:

(h,k) = (0,y)

A quadratic function is represented as:

f(x) = (x - h)^2 + k

So, we have:

f(x) = (x - 0)^2 + k

Evaluate

f(x) = x^2 + k

From the list of options, we have:

f(x) = (x - 2)(x + 2)

Expand

f(x) = x^2 - 4

Hence, the function that has a vertex on the y-axis is f(x) = (x - 2)(x + 2)

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A Voronoi diagram is a division of a plane into areas near each of a given set of objects in mathematics. These things are just infinitely many points in the plane in the simplest scenario (called seeds, sites, or generators). There is a region, known as a Voronoi cell, for each seed that is made up of all points in the plane that are closer to that seed than to any other point. A set of points' Voronoi diagram and Delaunay triangulation are identical.

We are aware that any intersection of half-planes results in a convex region bordered by a collection of linked line segments. Voronoi edges are the line segments that define the limits of Voronoi regions. These edges' termini are known as Voronoi vertices.

Voronoi diagram:

A Voronoi diagram in mathematics is a division of a plane into areas near to each of a given set of objects. These things are simply infinitely many plane points in the most basic scenario (called seeds, sites, or generators).

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The sum of the squares of the differences between each data value and the mean is equal to Sum=828

we have that

the mean is 33

so

Fill the table

15 (15-33)=-18 (15-33)^2=324

27 (27-33)=-6 (27-33)^2=36

28 (28-33)=-5 (28-33)^2=25

34 (34-33)=1 (34-33)^2=1

42 (42-33)=9 (42-33)^2=81

52 (52-33)=19 (52-33)^2=361

therefore

The sum of the squares of the differences between each data value and the mean is equal to

Sum=324+36+25+1+81+361

Sum=828

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Answer:

$72.91

Step-by-step explanation:

1.) 0.0075 x 67.82= 5.0865

2.) 67.82+5.0865= 72.9065 but I rounded it to 72.91 because with money it doesn't go beyond the hundredths place

So the maximum number of edges in an undirected graph with 100 vertices is 4950.

In an undirected graph, each edge connects two vertices, and as such, it is counted twice, once for each vertex it connects. Therefore, the total number of edges in the graph is the sum of the degrees of all vertices, divided by 2.

In a complete graph with n vertices, every vertex is connected to every other vertex, except itself, and so the degree of each vertex is n-1 (it is connected to n-1 other vertices). Therefore, the total number of edges in the graph is:

n * (n-1) / 2

Substituting n = 100, we get:

100 * 99 / 2 = 4950

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Answer:

15 is 50 percentage of 30.

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

half of 30 is 15, and half of 100% (which would be 30) is 50% (which would end up being 15). Math does not need to be involved in this problem.

There are 6,840 ways.

To solve this problem, we can use the permutation formula:

nPr = n! / (n - r)!

where n is the total number of members and r is the number of positions to be filled.

For the president position, there are 20 options. After the president is chosen, there are 19 members remaining for the vice-president position. Finally, for the secretary position, there are 18 members remaining.

Therefore, the total number of ways to choose a president, a vice-president, and a secretary from 20 members is:

20P1 * 19P1 * 18P1 = (20! / 19!) * (19! / 18!) * (18! / 17!) = 20 * 19 * 18 = 6,840

Therefore, there are 6,840 ways to choose a president, a vice-president, and a secretary from 20 members of a club.

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