b)the number of reflexive and symmetric relations on S

Answer:

**Answer:**

**The number of reflexive relations on S is 64.**

**The number of reflexive and symmetric relations on S is 8.**

**Step-by-step explanation:**

Consider the provided set S = {a, b, c}.

The number of elements in the provided set is 3.

**Part (a) the number of reflexive relations on S**

To calculate the number of reflexive relation on S we can use the formula as shown:

**Total number of Reflexive Relations on a set:**.

Where, n is the number of elements.

In the provided set we have 3 elements, so substitute the value of n in the above formula:

**Hence, the number of reflexive relations on S is 64.**

**Part(b) The number of reflexive and symmetric relations on S.**

To calculate the number of reflexive and symmetric relation on S we can use the formula as shown:

**Total number of Reflexive and symmetric Relations on a set:**.

Where, n is the number of elements.

In the provided set we have 3 elements, so substitute the value of n in the above formula:

**Hence, the number of reflexive and symmetric relations on S is 8.**

Vanessa is skiing along a circular ski trail that has a radius of 2.5 km. She starts at the 3-o'clock position and travels in the CCW direction. Vanessa stops skiing when she is 1.244 km to the right and 2.169 km above the center of the ski trail. Imagine an angle with its vertex at the center of the circular ski trail that subtends Vanessa's path.How many radians has the angle swept out since Vanessa started skiing?

Although still a sophomore at college, John O'Hagan's son Billy-Sean has already created several commercial video games and is currently working on his most ambitious project to date: a game called K that purports to be a "simulation of the world." John O'Hagan has decided to set aside some office space for Billy-Sean against the northern wall in the headquarters penthouse. The construction of the partition will cost $8 per foot for the south wall and $12 per foot for the east and west walls.What are the dimensions of the office space with the largest area that can be provided for Billy-Sean with a budget of $432?south wall length ft -east and west wall length -What is its area?

DO NOT ANSWER W/O EXPLANATION PLEASE! NEED WRITTEN SOLUTION.In triangle ABC, an altitude is drawn from vertex C to the line containing AB. The length of this altitude is h and h=AB. Which of the following is true?I. Triangle ABC could be a right triangle.II. Angle C cannot be a right angle.III. Angle C could be less than 45 degrees.

Which statement correctly describes the relationship between the graph of f(x) and the graph of g(x)=f(x)−4?The graph of g(x) is the graph of f(x) translated 4 units up.The graph of g(x) is the graph of f(x) translated 4 units left.The graph of g(x) is the graph of f(x) translated 4 units down.The graph of g(x) is the graph of f(x) translated 4 units right.

Suppose an individual makes an initial investment of $3,000 in an account that earns 6.6%, compounded monthly, and makes additional contributions of $100 at the end of each month for a period of 12 years. After these 12 years, this individual wants to make withdrawals at the end of each month for the next 5 years (so that the account balance will be reduced to $0). (Round your answers to the nearest cent.)(a) How much is in the account after the last deposit is made?(b) How much was deposited?(c) What is the amount of each withdrawal?(d) What is the total amount withdrawn?I get A and C. If you could explain B and D I'd appreciate it.

Although still a sophomore at college, John O'Hagan's son Billy-Sean has already created several commercial video games and is currently working on his most ambitious project to date: a game called K that purports to be a "simulation of the world." John O'Hagan has decided to set aside some office space for Billy-Sean against the northern wall in the headquarters penthouse. The construction of the partition will cost $8 per foot for the south wall and $12 per foot for the east and west walls.What are the dimensions of the office space with the largest area that can be provided for Billy-Sean with a budget of $432?south wall length ft -east and west wall length -What is its area?

DO NOT ANSWER W/O EXPLANATION PLEASE! NEED WRITTEN SOLUTION.In triangle ABC, an altitude is drawn from vertex C to the line containing AB. The length of this altitude is h and h=AB. Which of the following is true?I. Triangle ABC could be a right triangle.II. Angle C cannot be a right angle.III. Angle C could be less than 45 degrees.

Which statement correctly describes the relationship between the graph of f(x) and the graph of g(x)=f(x)−4?The graph of g(x) is the graph of f(x) translated 4 units up.The graph of g(x) is the graph of f(x) translated 4 units left.The graph of g(x) is the graph of f(x) translated 4 units down.The graph of g(x) is the graph of f(x) translated 4 units right.

Suppose an individual makes an initial investment of $3,000 in an account that earns 6.6%, compounded monthly, and makes additional contributions of $100 at the end of each month for a period of 12 years. After these 12 years, this individual wants to make withdrawals at the end of each month for the next 5 years (so that the account balance will be reduced to $0). (Round your answers to the nearest cent.)(a) How much is in the account after the last deposit is made?(b) How much was deposited?(c) What is the amount of each withdrawal?(d) What is the total amount withdrawn?I get A and C. If you could explain B and D I'd appreciate it.

Answer:120?

Step-by-step explanation:

0.950.95

0.730.73

0.630.63

0.910.91

1.321.32

1.481.48

0.630.63

1.231.23

0.910.91

1.411.41

0.670.67

The range of the sample data is

nothing

▼

(Round to three decimal places as needed.)

Sample standard

deviationequals=nothing

▼

kg.kg.

left parenthesis Upper W divided by kg right parenthesis squared .W/kg2.

W.W.

Upper W divided by kg.W/kg.

(Round to three decimal places as needed.)

Sample

varianceequals=nothing

▼

kg.kg.

left parenthesis Upper W divided by kg right parenthesis squared .W/kg2.

Upper W divided by kg.W/kg.

W.W.

(Round to three decimal places as needed.)

If one of each model is measured for radiation and the results are used to find the measures of variation, are the results typical of the population of cell phones that are in use?

A. No, because it is necessary to have at least 5 of each cell phone in order to get a meaningful result. Only including one of each cell phone model is not representative of each cell phone model.

B. Yes, because the results from any sample of cell phones will be typical of the population.

C. Yes, because each model is being represented in the sample. Any sample that considers all possible cell phone models will produce results typical of the population of cell phones.

D. No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.

**Answer:**

D. No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.

**Step-by-step explanation:**

For this case we have the following data values:

0.95,0.73,0.63,0.91,1.32,1.48,0.63,1.23,0.91,1.41,0.67

The first step on this case is order the datase on increasing way and we got:

0.63 0.63 0.67 0.73 0.91 0.91 0.95 1.23 1.32 1.41 1.48

The range is defined as

And if we replace we got:

The sample standard deviation is given by this formula:

And if we replace we got

And the sample variance is just the standard deviation squared so we got:

And for the last question about : If one of each model is measured for radiation and the results are used to find the measures of variation, are the results typical of the population of cell phones that are in use?

We can conclude this:

D. No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.

**Answer:**

y ≤0

**Step-by-step explanation:**

y =- x^2

x^2 is always positive or 0

Make this negative

- x^2 is negative or 0

The range is negative or 0

y ≤0

**Answer:**

**Step-by-step explanation:**

y=-x^2

the range is(-∞,0]

y≤ 0 ( since the coefficient a is negative it is open downward)

Answer:

α= 133.6 degrees

(a)Sin(α/2)=0.9191

(b)cos(α/2)=0.3939

(c)Tan(α/2)=2.3332

Step-by-step explanation:

If Tan α=

90<α<180

We determine first the value of α in the first quadrant

α=

=46.4

Since 90<α<180

α=180-46.4=133.6 degrees

(a)Sin(α/2)=Sin(133.6/2)=Sin 66.8 =0.9191

(b)cos(α/2)=cos(133.6/2)=cos 66.8 =0.3939

(c)Tan(α/2)=Tan(133.6/2)=Tan 66.8 =2.3332

**Answer:**

Noah's mixture will taste more like orange, than Andre's mixture.

**Step-by-step explanation:**

Given:

Noah mixes 4 scoops of powder with 6 cups of water.

Means Noah ratio will be or 0.67

Andre mixes 5 scoops of powder with 8 cups of water

Means Andre ratio will be or 0.62

As,

or

0.66 > 0.62

We can say that content of orange powder will be more in Noah mixture than in Andre's Mixture.

Hence, Noah's mixture will taste more like orange, than Andre's mixture.

**Answer:**

**Step-by-step explanation:**

**Given**

**Required**

Determine the mass of the vehicle

**This question will be answered using Newton's second law**

**Substitute values for Force and Acceleration**

**Make Mass the subject**

** ---- approximated**

**Hence, the mass of the vehicle is 1867kg**