Help me do this problem plzzzz

The last term is 300

The sum of all the terms is 15150.0

The average of all the terms is 151.5

Here is an example solution in Python that follows the given pseudocode:

# Prompt for and read the first term

first_term = int(input("Enter first term: "))

# Prompt for and read the common difference

common_difference = int(input("Enter common difference: "))

# Prompt for and read the number of terms

number_of_terms = int(input("Enter number of terms: "))

# Calculate the last term

last_term = first_term + (number_of_terms - 1) * common_difference

# Calculate the sum of all the terms

sum_of_terms = number_of_terms * (first_term + last_term) / 2

# Calculate the average of all the terms

average_of_terms = sum_of_terms / number_of_terms

# Display the results

print("The last term is", last_term)

print("The sum of all the terms is", sum_of_terms)

print("The average of all the terms is", average_of_terms)

If you run this code and enter the values from the sample run (first term: 3, common difference: 3, number of terms: 100), it will produce the following output:

The last term is 300

The sum of all the terms is 15150.0

The average of all the terms is 151.5

The program prompts the user for the first term, common difference, and number of terms. Then it calculates the last term using the given formula. Next, it calculates the sum of all the terms and the average of all the terms using the provided formulas. Finally, it displays the calculated results.

For more such questions on last term visit:

https://brainly.com/question/30442577

#SPJ8

Answer:

Con qué necesitas ayuda?

Step-by-step explanation:

Answer:

We conclude that:

X∩Y∩Z = {2, 4, 7, 9}

Step-by-step explanation:

What is the intersection of three sets:

We know that the intersection of three given sets represents the largest set which consists of all the elements that are common to all the sets.

What is the symbol of the intersection of the sets:

The intersection of sets is denoted by the symbol '∩'.

Determining the  intersection of the sets:

Given

X= {1,2,4,6,7,8,9}

Y= {1,2,3,4,7,9)

Z= {2,3,4,7,9)

Thus,

X∩Y∩Z = {2, 4, 7, 9}

Therefore, we conclude that:

X∩Y∩Z = {2, 4, 7, 9}

Answer:A

Step-by-step explanation:

Answer:

the answer is -4,-1

Step-by-step explanation:

y1-y2

x1-x2

Answer:

121

Step-by-step explanation:

180 - (56 + 65) = 59

180 - 59 = 121

Answer:

(0,1) and (3,0).

Step-by-step explanation:

Using pythagoras' theorem in the right-angled triangle

A right-angled triangle is a polygon with 3 sides in which one angle is a right angle

Now, since we have 3 triangles, using Pythagoras' theorem in all three triangles, we have

h² + (12 - x)² = 12² - 6² (1)

Also, h² + x² = 6²  (2)

So, h² + (12 - x)² = 12² - 6²

h² + (12 - x)² = 144 - 36

h² + (12 - x)² = 108  (3)

From equation (2), h² = 36 - x²

Substituting this into equation (3), we have that

h² + (12 - x)² = 108  (3)

36 - x² + (12 - x)² = 108  (3)

Expanding the brackets, we have that

36 - x² + 144 - 24x + x² = 108

36 + 144 - 24x = 108

180 - 24x = 108

-24x = 108 - 180

-24x = -72

x = -72/-24

x = 3

Since  h² = 36 - x²

h = √(36 - x²)

So, substituting the value of x = 3 into the equation, we have that

h = √(36 - x²)

h = √(36 - 3²)

h = √(36 - 9)

h = √27

h = 3√3

So,

Learn more about right-angled triangle here:

https://brainly.com/question/2580674

#SPJ1

Sue's hourly rate of pay is $16.41. This calculation is derived by dividing her yearly salary of $32,000 by the total number of hours she works in a year, which is approximately 975 hours.

To find Sue's hourly rate of pay, we need to divide her yearly salary by the total number of hours she works in a year.

First, let's calculate the number of hours Sue works in a year. She is paid bi-weekly, so there are 26 pay periods in a year (52 weeks divided by 2). Her regular workweek is 37.5 hours, so she works a total of 37.5 hours per week * 26 pay periods = 975 hours per year.

Next, we divide Sue's yearly salary of $32,000 by the total number of hours she works in a year:

Hourly rate of pay = Yearly salary / Total hours worked

Hourly rate of pay = $32,000 / 975 hours

Hourly rate of pay ≈ $32.82

Therefore, Sue's hourly rate of pay is approximately $16.41 (rounded to the nearest cent).

It is important to note that the calculation assumes Sue does not receive any additional benefits or bonuses that could affect her overall compensation.

To know more about rate of pay, visit

https://brainly.com/question/766849

#SPJ11

Answer:

Amount after 22 year = $484.80 (Approx.)

Step-by-step explanation:

Given:

Amount deposit in bank = $150

Double in year = 13 year

Find:

Amount after 22 year

Computation:

A = P[1+r]ⁿ

Amount after 13 year = 2 x 150

Amount after 13 year = $300

300 = 150[1+r]¹³

2 = [1+r]¹³

Rate of interest = 5.477%

Amount after 22 year

A = P[1+r]ⁿ

Amount after 22 year = 150[1+5.477%]²²

Amount after 22 year = $484.80 (Approx.)

Answer:

A≈  251.33in² ok

Answer:

251.33

Step-by-step explanation:

A=2πrh+2πr2=2·π·4·6+2·π·42≈251.32741

Step-by-step explanation:

Given, x=3y and y=x+4

y=3y+4.... substituting x=3y

y-3y=4

-2y=4

y=-2

Then substitute -2 either in x=3y or y=x+4 equations

x=3(-2)

=-6

The expression to evaluate is 4y² − 7y − 6 when y = 5. Hence, we need to substitute 5 in place of y in the expression to evaluate the value of the expression when y = 5.

So we have: 4y² − 7y − 6

= 4(5)² − 7(5) − 6

= 4(25) − 35 − 6

= 100 − 35 − 6

= 59

Therefore, the value of the expression 4y² − 7y − 6 when y = 5 is 59. The given expression is 4y² − 7y − 6. We need to evaluate it for y = 5.

Substituting y = 5 in the expression, we get: 4(5)² - 7(5) - 6

Simplifying the above expression: 4(25) - 35 - 6

= 100 - 35 - 6

= 59

Therefore, the value of the expression 4y² − 7y − 6 when y = 5 is 59.

To know more about expression visit:-

https://brainly.com/question/28170201

#SPJ11

We divide both sides by 8, which yields -2 = x. This means that x is equal to -2, the correct answer is B) x = -2.

To solve the equation -9x + 1 = -x + 17, we can simplify and isolate the variable x.

First, let's combine like terms by adding 9x to both sides:

-9x + 9x + 1 = -x + 9x + 17

Simplifying further:

1 = 8x + 17

Next, let's isolate the variable x by subtracting 17 from both sides:

1 - 17 = 8x + 17 - 17

Simplifying again:

-16 = 8x

To solve for x, we divide both sides by 8:

-16/8 = 8x/8

-2 = x

Therefore, the solution to the equation -9x + 1 = -x + 17 is x = -2.

To solve the equation, we want to isolate the variable x on one side of the equation. We start by combining like terms. By adding 9x to both sides, we eliminate the variable terms on the left side, resulting in 1 = 8x + 17.

Next, we isolate the variable x by subtracting 17 from both sides. This simplifies the equation to -16 = 8x.

To solve for x, we divide both sides by 8, which yields -2 = x. This means that x is equal to -2. Therefore, the correct answer is B) x = -2.

To know more about variable click here

brainly.com/question/2466865

#SPJ11

Answer:

B

Step-by-step explanation:

The goal of the "Requirements Gathering" phase of an SDLC is to produce a list of requirements for a new or revised information system.

What is SDLC?

SDLC stands for Software Development Life Cycle. It is a systematic approach or framework used in software development projects to guide the development process from initiation to deployment and maintenance.

During the Requirements Gathering phase of the SDLC, the primary objective is to gather and document all the necessary information regarding the desired functionalities, features, and specifications of the new or revised information system. This phase involves close collaboration between stakeholders, including business analysts, system analysts, project managers, and end-users.

The process typically begins with conducting interviews and meetings with stakeholders to understand their needs, expectations, and goals for the system. This can involve discussions with managers, users, subject matter experts, and other individuals who will be affected by the system. Various techniques such as questionnaires, surveys, and brainstorming sessions may be employed to gather comprehensive requirements.

learn more about SDLC Here:

https://brainly.com/question/30089251

#SPJ4

False, a binary (categorical) predictor should not be used along with nonbinary (numerical) predictors

It is important to note that binary and non-binary predictors can both be utilized.

Categorical variables with two possible outcomes, such as yes/no or true/false, are represented by binary predictors. On the other hand, nonbinary predictors indicate numerical variables that can have a variety of values.

It is feasible to capture the links between several sorts of variables and enhance the predictive ability of a model by using both types of predictors. Utilizing methods like logistic regression and

Learn more about binary operator at: https://brainly.com/question/32042263

#SPJ4

Answer:39.7

Step-by-step explanation:DUDE chilll I got you the answer is

The explicit formula for the sequence is H. aₙ=-7+5(n-1).

The recursive formula given is a₁=5 and aₙ₊₁=a_{n}-7. This means that the first term of the sequence is 5 and the common difference is -7.

To write an explicit formula for the sequence, we can use the following formula:

aₙ=a₁+(n-1)d

where aₙ is the nth term of the sequence, a₁ is the first term, and d is the common difference.

In this case, a₁=5 and d=-7. So, we can write the explicit formula as follows:

aₙ=5+(n-1)(-7)

or

aₙ=-7+5(n-1)

Therefore, the explicit formula for the sequence is H. aₙ=-7+5(n-1).

Learn more about explicit formula here:

brainly.com/question/28584458

#SPJ11

The direction of the difference between the 2 measurements.

Learn more about ordinal scale and  nominal scale here:

https://brainly.com/question/15998581

#SPJ4

The polynomial function f(x) = 9(x - 6)(x + 7)^3 has two zeros: x = 6 and x = -7. The multiplicity of the zero x = 6 is 1, and the multiplicity of the zero x = -7 is 3. The graph of the function will cross the x-axis at x = 6 and touch the x-axis at x = -7, then turn around.

The polynomial function is given by f(x) = 9(x - 6)(x + 7)^3. To find the zeros of the function, we set f(x) equal to zero and solve for x:

9(x - 6)(x + 7)^3 = 0

Setting each factor equal to zero gives us two zeros:

x - 6 = 0 --> x = 6

x + 7 = 0 --> x = -7

So, there are two zeros for the polynomial function: x = 6 and x = -7.

To determine the multiplicity of each zero, we look at the exponent of the factor. The multiplicity is equal to the exponent of the factor (if it's greater than 1) or 1 (if there is no exponent explicitly mentioned).

For the zero x = 6, there is no exponent explicitly mentioned, so the multiplicity is 1.

For the zero x = -7, the factor (x + 7) has an exponent of 3, so the multiplicity is 3.

Now, let's determine the behavior of the function at each zero. Since the multiplicity of the zero x = 6 is 1, the graph will cross the x-axis at x = 6.

For the zero x = -7, since the multiplicity is 3, the graph will touch the x-axis at x = -7 and turn around.

To learn more about polynomial click here: brainly.com/question/11536910

#SPJ11

Answer:

1,2

Step-by-step explanation:

if this is wrong, pls say so

The value of the composite function (h⁰ g)(x) calculated by  function operation is  2x+28 .

A function is described as the relationship between a set's domain and range and its elements. f, g, or h are frequently used to denote functions.

Each element of an algebraic function, denoted by the formula y=g(x), is connected to a single value of x.

(h ∘ g)(x) can also be expressed as h[g(x)] , which signifies that the value of x=g(x) will be replaced in the function h, is referred to as a composite function.

A composite function is produced by combining two existing functions to produce a third, distinct function.

In h of g of x, the output of one function becomes the input of another.

Given functions are:

f(x)=4 x and g(x)=1/2x+7

Therefore (f ∘ g)(x)=f[g(x)]

=f(1/2x+7)

=4×(1/2x+7)

=2x+28

Therefore the value of the function operation  (f⁰ g)(x) is  2x+28

To learn more about function operations on Composite functions visit:

brainly.com/question/20379727

#SPJ4

The area under the normal probability density function (p.d.f.) within 1.96 standard deviations of the mean on both sides is approximately 0.95.

In a normal distribution, the area under the p.d.f. curve represents probabilities. The area between the mean and 1.96 standard deviations to the left or right represents approximately 95% of the data. Since the normal distribution is symmetrical, we can split this area equally on both sides, resulting in approximately 0.475 (or 47.5%) on each side.

To calculate the total area, we add up the areas on both sides: 0.475 + 0.475 = 0.95. This means that 95% of the data falls within the range of 1.96 standard deviations from the mean. Consequently, the remaining 5% is distributed outside this range (2.5% to the left and 2.5% to the right). Therefore, the correct answer is A. 0.05, which corresponds to the area outside the range of 1.96 standard deviations from the mean.

Learn more about probability here:

https://brainly.com/question/12629667

#SPJ11

Part A: The domain for Graph II is X∈ (-∞, ∞). See the definition of domain below

A function's domain is the collection of all potential inputs to the function.

The domain of f(x)=x2 is all real numbers, for example, whereas the domain of g(x)=1/x is all real numbers except x=0.

Hence the other metrics are given as follows:

Part A

The range  Y ∈ (-∞, ∞).

The function is increasing over X∈ (-∞, ∞). because the function on the graph has a positive slope which is constant  for a straight line over the domain X∈ (-∞, ∞).

Part B

The graph is of the equation y = -x^2 +4. It is a polynomial of even degree, so has a domain of all real numbers: (-∞, ∞).

The vertical extent of the graph includes y=4 and all numbers less than that:

range: (-∞, 4]

The graph is increasing to the left of its vertex at x=0, decreasing to the right.

 increasing (-∞, 0); decreasing (0, ∞)

There is no interval on which the function is constant. It has a horizontal tangent at x=0, but a single point does not constitute an interval.

Learn more about domain:
https://brainly.com/question/2264373
#SPJ1

Answer:

A) -1/2

Honestly, I used Math/way to solve this for you. If you need help with anything else, let me know. :)

The two sided confidence interval on mean is 3.56 and 4.80.

What is confidence interval?

The proportion of probability, or certainty, that the confidence interval would include the real population parameter when a random sample is drawn numerous times is referred to as the confidence level.

The given data is  3.7, 4.5, 4.1, 4.7, 3.9.  Here n = 5

=> σ = 1- 95% = 5% = 0.05

We know that the confidence interval is

=> CI = \(\overline x {\displaystyle \pm }\frac{z(\sigma)}{\sqrt n}\)

Here 95% confidence level so z= 1.96

Mean \(\overline x = \frac{3.7+4.5+4.1+3.9+4.7}{5} = 4.18\) and σ = 0.5

Here  n<30 so we can use t instead of z then t-value = 2.776.

Now confidence level CI = \(\ 4.18 {\displaystyle \pm }\frac{2.776\times0.5}{\sqrt 5}\)

=> CI = 4.18 \(\display \pm\) 0.62 = ( 3.56 , 4.80)

Hence the two sided confidence interval on mean is 3.56 and 4.80.

To learn more about confidence level refer the below link

https://brainly.com/question/29576113

#SPJ1