Answer:
The width is 2x+1
Step-by-step explanation:
10x^2 +5x
Divide this by 5x
10x^2 /5x = 2x
+
5x/5x =1
Add this together
2x+1
The width is 2x+1
Answer:
( 2x + 1 )
Step-by-step explanation:
10x^2 + 5x
it could also be;
5x (2x + 1)
so, the width is( 2x +1)
What is the common difference for this arithmetic sequence?
54, 50, 46, 42, 38, ...
Answer:
B. 4
Step-by-step explanation:
54 - 4 = 50
50 - 4 = 46
46 - 4 = 42
42 - 4 = 38
Answer: D. -4
Step-by-step explanation: took the quiz and got it right.
Find the value of 9u +4 given that 7u-4=3.
Simplify your answer as much as possible.
9u + 4 = 1
Х
Answer:
13
Step-by-step explanation:
Given
7u - 4 = 3 ( add 4 to both sides )
7u = 7 ( divide both sides by 7 )
u = 1
Then
9u + 4 = 9(1) + 4 = 9 + 4 = 13
Answer:
\(7u - 4 = 3 \\ 7u = 4 + 3 \\ 7u = 7 \\ u = \frac{7}{7} \\ \boxed{u = 1} \\\\f(u) = 9u + 4 \\ f(1) = 9(1) + 4 \\f(1) = 9 + 4 \\ \boxed{f(1) = 13 }\)
13 is the right answer.Use a change of variables or the accompanying table to evaluate the following definite integral. sinx J 4+ cos x x Click the icon to view the table of general integration formulas. Determine a change of variables from x to u. Choose the correct answer below. O A. u= 4+ cos x O B. u= cos x OC. U 4+ cos x OD. u=sin x Write the integral in terms of u. 7 I sinx J 4+ cos x dx = J O du Evaluate the integral. sin x J 4+ cos x dx=0 (Type an exact answer.) Click to select your answer(s)
The integral we are trying to solve is int sin x , dx, with a change of variables or the accompanying table. The first step is to determine the change of variables from x to u. In this case, we will use the substitution u=4+cos x. With this substitution, we can rewrite the integral as \int \sin x \, du.
Next, we can use the table of general integration formulas to evaluate the integral. The formula for int sin x , du is cos x + C, where C is a constant of integration. Plugging in our substitution, we have cos (4+cos x) + C.
Finally, we can evaluate the integral by solving for C. We can do this by setting the equation equal to 0, since we are evaluating a definite integral. This yields C=cos (4+cos x), so the answer to the integral is cos (4+cos x).
To know more about integration refer here:
https://brainly.com/question/18125359
#SPJ11
Mixture Problem
1. How much water should be added to 8 mL of 6% saline solution to reduce the concentration to 4%?
Answer:
Amount of active ingredient is 0.04(8+x)= 0.32+0.4x
---------------
EQUATION:
active ingre. + active ingre. = active ingre
0.48 + 0 = 0.32 + 0.04x
0.16 = 0.04x
x=4ML (amount of water that must be added)
The amount of water that must be added is 4 ml to 8 mL of 6% saline solution to reduce the concentration to 4%.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
8 mL of 6% saline solution to reduce the concentration to 4%.
Let x be the amount that should be added to 8 mL of 6% saline solution to reduce the concentration to 4%.
The amount of active ingredients is
0.04(8 + x) = 0.32 + 0.4x
Active ingredients + active ingredients = active ingredients
0.48 + 0 = 0.32 + 0.04x
0.16 = 0.04x
x=4 ml; the amount of water that must be added
Thus, the amount of water that must be added is 4 ml to 8 mL of 6% saline solution to reduce the concentration to 4%.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ2
Which number is 8 units away from -2 on this number line? -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
Answer:
6
Step-by-step explanation:
Suppose x = 1, y = -1, and z = 1. What is the output of the following statement? (Please indent the statement correctly first.)
if (x > 0)
if (y > 0)
System.out.println("x > 0 and y > 0");
else if (z > 0)
System.out.println("x < 0 and z > 0");
A. x > 0 and y > 0;
B. x < 0 and z > 0;
C. x < 0 and z < 0;
D. no output
Based on the evaluation of the conditions, the output "x < 0 and z > 0" will be printed. Therefore, the correct answer is B. x < 0 and z > 0.
The correct indentation of the statement would be as follows:
if (x > 0)
if (y > 0)
System.out.println("x > 0 and y > 0");
else if (z > 0)
System.out.println("x < 0 and z > 0");
Given that x = 1, y = -1, and z = 1, let's evaluate the conditions:
The first if statement checks if x > 0, which is true since x = 1.
Since the condition in the first if statement is true, we move to the inner if statement, which checks if y > 0. However, y = -1, so this condition is false.
The inner if statement is followed by an else if statement that checks if z > 0. Since z = 1, this condition is true.
Know more about correct indentation here:
https://brainly.com/question/30782644
#SPJ11
A researcher is interested in examining whether students who distribute practice over a number of short study sessions differ in their test performance from students who mass practice over a single long session. Her prediction that students who distribute practice will perform better than students who mass practice is the a. Research hypothesis b. Experimental hypothesis c. Null hypothesis d. Alternative hypothesis
In the test made, her prediction that students who distribute practice will perform better than students who mass practice is the alternative hypothesis, option d.
At the null hypothesis, we test if the predictions is false, that is, that students who distribute practice will not perform better than students who mass practice.
At the alternative hypothesis, it is where we test if there is enough evidence to conclude if the prediction is right, that is, if students who distribute practice will perform better than students who mass practice, hence, option d is correct.
A similar problem is given at https://brainly.com/question/25631329
Write a possible equation for a cosine function that has a maximum point at (1, 11) and a minimum point at (8, 3).
M = A + |B| is the function's highest possible value. When sin or cos x equals 1, this maximum value is reached. m = A |B| is the function's lowest possible value. If either cos x or sin x is equal to 1, this minimum will be reached.
How do you find the maximum and minimum of a cosine function?The sine and cosine functions are graphed; to find the values of the sine and cosine functions for a variety of various degrees of angles, use a calculator, computer, or a collection of trigonometry tables (or radian).Because the sine and cosine functions have periods of 2, the patterns are continually repeated to the left and right.The sine and cosine functions can have a number of additional terms and factors added to them, changing how they look.The graph of the sine functions can be vertically shifted by adding the extra term A to the equation y = A + sin x. The sine function can have different amplitudes because to the additional element B in the equation y = B sin x. The graph's highest and minimum values, or one half of those values, make up the amplitude, or | B |, which is the maximum deviation from the x-axis. Both y = A + B sin x and y = A + B cos x are produced by combining these values. The minimum and maximum values for these two functions are specified by the following formulas. M = A + |B| is the function's highest possible value. When sin or cos x equals 1, this maximum value is reached. m = A |B| is the function's lowest possible value.If either cos x or sin x is equal to 1, this minimum will be reached.Example :
Draw the y = 1 + 2 sin x function on a graph. Which values represent the function's maximum and minimum?1 + 2 = 3 is the highest possible value. 1 + 2 = 1 is the minimum value.To Learn more About sin or cos refer To:
https://brainly.com/question/28160425
#SPJ1
When I was 4 years old my sister was half of my age.Now I am 100 years. How old is my sister?
Answer:
when you 4, your sister is 2 years old
now that you 100, your sister should be 50 years old
half equal x/2 x indicates 100
For a research project, students are asked to study how often students at an online high school look at social
media while doing schoolwork.
1. Sofie decides to develop a survey.
(a) Give an example of a question she could ask on her survey.
(b) How could Sofie select a simple random sample of students to take her survey?
(c) She gives out 80 surveys but receives only 32 completed surveys. What are the sample and
population for Sofie’s research?
(d) Of the 32 students who completed surveys, 16 said they use social media while doing schoolwork. If
Sofie uses only the completed surveys, what conclusion could she make about the percent of all high
school students who use social media while doing schoolwork?
(a) Example question: "How often do you look at social media while doing schoolwork?
(b) Sofie can select a simple random sample of students by using a random number generator to assign a unique identification number to each student in the online high school.
(c) The sample for Sofie's research is the 32 completed surveys she received. These surveys represent the responses of a subset of the population. The population, in this case, refers to all the students at the online high school.
(d) If Sofie uses only the completed surveys, she can conclude that approximately 50% (16 out of 32) of the students who completed the survey reported using social media while doing schoolwork.
(a) Please select one of the following options: never, rarely, occasionally, frequently, or always."
(b) She can then use the random number generator again to select a specific number of students from the entire population of students, ensuring that each student has an equal chance of being selected. For example, if there are 500 students in total and Sofie wants a sample size of 50, she can generate 50 random numbers and select the corresponding students based on their identification numbers.
(d) However, it is important to note that this conclusion is specific to the sample of completed surveys and cannot be generalized to the entire population of high school students.
To make an inference about the percent of all high school students who use social media while doing schoolwork, Sofie would need a larger and more representative sample that covers a wider range of students in the online high school.
Additionally, she should consider potential biases in the sample, such as non-response bias if the students who chose not to complete the survey have different social media usage patterns compared to those who did respond.
For more such questions on surveys
https://brainly.com/question/30735918
#SPJ8
500.000 times 0.045 what is the answer and explained
Answer:22.5
Step-by-step explanation:think of 500.000 as an 500 then multiply 0.045 so I got 22.5
Answer:
22.5
Step-by-step explanation:
500.000
x 0.045
22.5
You just have to use long multiplication
You are sitting down to do your homework. You work along, successfully solving the problems. But you then come across a problem that is more difficult. After spending fifteen minutes working on it, you begin to find yourself growing frustrated. What is the single most reasonable next option for you to take in order for you to make progress towards the solution
Answer:
Move on or try to find the answer using a different method or source.
Step-by-step explanation:
The single most reasonable next option for making progress towards the homework solution is to repeat the question soundlessly to yourself.
When faced with a challenging problem, repeating the question soundlessly to oneself is a technique known as "active rest" or "incubation." It allows the brain to continue processing the information subconsciously while temporarily shifting the focus away from the problem. This mental break can help reduce frustration and cognitive fatigue, which often occurs when tackling difficult tasks for an extended period.
Taking a quick nap or working late into the night without rest are not recommended options. Napping might be helpful in some situations, but if the schedule allows, a short mental break is more effective than a nap. Working late into the night without rest can lead to exhaustion, hindering clear thinking and problem-solving abilities.
Focusing harder on the problem may not be productive as it could lead to mental burnout. A brief break and returning with a fresh perspective can often lead to better problem-solving outcomes.
To know more about homework, click here.
https://brainly.com/question/4397947
#SPJ2
------------The given question is incomplete, the complete question is:
"You are sitting down to do your homework. You work along, successfully solving the problems. But you then come across a problem that is more difficult. After spending fifteen minutes working on it, you begin to find yourself growing frustrated. What is the single most reasonable next option for you to take in order for you to make progress towards the solution?
Options:
- If your schedule allows for it, lie down for a few minutes and take a quick nap.
- Keep focusing on the problem harder and harder—you will eventually figure it out if you keep your attention on it
- Keep working late into the night—feeling exhausted, but NOT letting yourself sleep, will help you envision the solution.
- Repeat the question soundlessly to yourself."---------------
Willie’s Widgets has created a demand function for its widget, where q is the quantity demanded and p is the price of one widget.
Q = -112p + 4,500
Let E = 3.00q + 18,000, and find the total expense if 2 widgets are produced.
The total expense for producing 2 widgets is $18,006.00.
How to find the total expense for producing 2 widgets?To find the total expense for producing 2 widgets, we need to find the total revenue from selling 2 widgets and then subtract the total expense of producing them.
The total revenue from selling 2 widgets is simply the price per widget times the quantity demanded at that price. Since the price is not specified in the problem, we can use the demand function to find it.
We know that the quantity demanded when 2 widgets are produced is:
q = 2
So we can solve the demand function for p:
q = -112p + 4,500
2 = -112p + 4,500
-112p = -4,498
p ≈ 40.16
Therefore, the price per widget is approximately $40.16.
The total revenue from selling 2 widgets at this price is:
revenue = price × quantity demanded
revenue = $40.16 × 2
revenue = $80.32
Now we need to find the total expense of producing 2 widgets. The problem gives us an expression for the total expense:
E = 3.00q + 18,000
Substituting q = 2, we get:
E = 3.00(2) + 18,000
E = $18,006.00
Therefore, the total expense for producing 2 widgets is $18,006.00.
Finally, we can calculate the profit as the difference between the revenue and the expense:
profit = revenue - expense
profit = $80.32 - $18,006.00
profit ≈ -$17,925.68
Since the profit is negative, Willie's Widgets would not make any profit from producing 2 widgets at this price. They would lose money.
Learn more about total expense
https://brainly.com/question/2734715
#SPJ1
Which set of rational numbers is arranged from least to greatest?
(a) −3.5, negative 1 over 4 , 2, 1 over 3 (b) −3.5, negative 1 over 4 , 1 over 3 , 2 (c) 2, 1 over 3 , negative 1 over 4 , −3.5 (d) negative 1 over 4 , 1 over 3 , 2, −3.5
The set of rational numbers that is arranged from least to greatest is (b) −3.5, negative 1 over 4 , 1 over 3 , 2
What is a rational number?A rational number is one that has the form p/q, where p and q are integers and q is greater than zero. Some rational number examples include 1/3, 2/4, 1/5, 9/3, and so on.
A rational number is defined in mathematics as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. 3/7, for example, is a rational number, as is any integer.
In this case, the arrangement will be -3.5, -1/4, 1/3 and 2.
Learn more about numbers on:
https://brainly.com/question/25734188
#SPJ1
I NEED HELPPPPPPPPPPPP
Answer: V = 2527.2 in^3
Step-by-step explanation:
V = Bh
that is, Volume = base area x height
the base area is the hexagon, and the height is given as 12.
Think of dividing the hexagon into 6 equal triangles, with height 7.8
so the area of all 6 triangles, (effectively the area of the hexagon), will be:
6(0.5 x 9 x 7.8) = 210.6 in^2
multiply this by the height to get the volume:
210.6 x 12 = 2527.2 in^3
thats it!
V = 2527.2 in^3
A bedroom measures 9 feet long and 11 feet wide. A scale drawing is made using a scale factor of 112.
What is the length of the bedroom in the scale drawing?
Drag and drop a number to correctly complete the statement.
Given the previous length of the bedroom and the current scale factor, the length of the bedroom in the current scale drawing is 1008ft.
What is the length of the bedroom in the scale drawing?Scale factor is simply a measure for similar figures, who look the same but have different scales or measures.
To get new dimension;
New dimension = scale factor × current dimension
Given that;
Current length of the bedroom = 9ftCurrent width of the bedroom = 11ftScale factor = 112New length of the bedroom = ?New dimension = scale factor × current dimension
New length of the bedroom = 112 × 9ft
New length of the bedroom = 1008ft
Therefore, given the previous length of the bedroom and the current scale factor, the length of the bedroom in the current scale drawing is 1008ft.
Learn more about scale factor here: https://brainly.com/question/22312172
#SPJ1
Shelby made equal deposits at the beginning of every 3 months into an RRSP. At the end of 9 years, the fund had an accumulated value of $55,000. If the RRSP was earning 3.50\% compounded monthly, what was the size of the quarterly deposits? Round to the nearest cent
The size of the quarterly deposits in Shelby's RRSP account was approximately $147.40.
Let's denote the size of the quarterly deposits as \(D\). The total number of deposits made over 9 years is \(9 \times 4 = 36\) since there are 4 quarters in a year. The interest rate per period is \(r = \frac{3.50}{100 \times 12} = 0.0029167\) (3.50% annual rate compounded monthly).
Using the formula for the future value of an ordinary annuity, we can calculate the accumulated value of the RRSP fund:
\[55,000 = D \times \left(\frac{{(1 + r)^{36} - 1}}{r}\right)\]
Simplifying the equation and solving for \(D\), we find:
\[D = \frac{55,000 \times r}{(1 + r)^{36} - 1}\]
Substituting the values into the formula, we get:
\[D = \frac{55,000 \times 0.0029167}{(1 + 0.0029167)^{36} - 1} \approx 147.40\]
Therefore, the size of the quarterly deposits, rounded to the nearest cent, is approximately $147.40.
To learn more about interest Click Here: brainly.com/question/30393144
#SPJ11
Question 5 Use the rules of differentiation to find the derivative of the function y (6x + 1)5 + 30x(6x + 1)ª (6x + 1)² (36x + 1) 1 X 6 No correct answer provided. = X x(6x + 1)5.
The derivative of the function y = x(6x + 1)⁵ is: dy/dx = (6x + 1)⁵ + 30x(6x + 1)⁴
To find the derivative of the given function, we can apply the rules of differentiation. Using the product rule, we differentiate each term separately and then add them together.
For the first term x, the derivative is simply 1.
For the second term (6x + 1)⁵, we apply the chain rule. The derivative of (6x + 1)⁵ with respect to x is 5(6x + 1)⁴ multiplied by the derivative of the inner function 6x + 1, which is 6.
Multiplying these derivatives together, we get (6x + 1)⁵ * 6 = 6(6x + 1)⁵.
For the third term x(6x + 1)⁴, we again apply the product rule. The derivative of x is 1, and the derivative of (6x + 1)⁴ is 4(6x + 1)³ multiplied by the derivative of the inner function 6x + 1, which is 6.
Multiplying these derivatives together, we get x * 4(6x + 1)³ * 6 = 24x(6x + 1)³.
Finally, we add the derivatives of each term to get the derivative of the entire function: dy/dx = (6x + 1)⁵ + 30x(6x + 1)⁴.
To know more about derivative, refer here:
https://brainly.com/question/2159625#
#SPJ11
Complete question:
Use the rules of differentiation to find the derivative of the function y= x(6x + 1)⁵
(6x + 1)⁵ + 30x(6x + 1)⁴
(6x + 1)⁴ (36x + 1)
x-1/6
No correct answer provided.
Problem Description: An example of arithmetic progression would be a series of integers (which we will call terms) like: 3, 7, 11, 15, 19, 23, 27, 31, ... Note that 3 is the first term, 7 is the second term, 11 is the 3rd term, etc. 4 is the common difference between any two consecutive terms. Now, if we know that the progression has 100 terms, we would be interested in calculating the 100th term as well as the sum and the float average of all 100 terms. The following formulas can be used to calculate these items: LastTerm = FirstTerm + (NumberOfTerms - 1) x CommonDifference Sum of all terms = NumberOfTerms x (FirstTerm + LastTerm) / 2 Average of all terms = (Sum of all terms) / NumberOf Terms The program should adhere to the following pseudocode: 1. Prompt for and read the first term 2. 3. Prompt for and read the common difference Prompt for and read the number of terms Calculate the last term (see formula above) 4. 5. Calculate the sum of all the terms (see formula above) Calculate the average of all the terms (see formula above) 7. Display the results 6. Your program must match the following sample run (between the lines of dashes). Note that the 3, 3, and 100 on the first three lines were entered by the user. You should also check results for other set of inputs as well. Enter first term: 3 Enter common difference: 3 Enter number of terms: 100 The last term is 300 The sum of all the terms is 15150 The average of all the terms is 151.5
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
What is dependent and dependent variable?
Independent and dependent variables are interdependent.
Dependent Variable: The term "dependent variable" refers to the variable that is being measured or tested in an experiment.
The results of the participants' tests, for instance, would be the dependent variable in a study looking at how tutoring affects test scores because that is what is being measured.
If you keep in mind that the dependent variable depends on the independent variable, finding it can be simpler.
The dependent variable's variable is being measured.It might change based on additional circumstances.It is reliant on other elements.A separate variableThis isn't the same as an experiment's independent variable, which is a variable that can stand on its own. The dependent variable (test results), however, may alter depending on the independent variable (tutoring).
The unrelated factor
Because the experimenters are allowed to change the independent variable as necessary, it is called a "independent" variable.
Changing variable in an independent variable.It doesn't alter in response to other factors.It can stand alone.For more questions on dependent and independent variable
https://brainly.com/question/1479694
#SPJ4
Find a general solution to the given Cauchy-Euler equation for t > 0
t ^ 2 * (d ^ 2 * y)/(d * t ^ 2) + 2t * d/dt (y) - 20y = 0
The general solution is y(t) =
The general solution to the given Cauchy-Euler equation for t > 0 is:
y(t) = C1 * t⁻⁵ + C2 * t⁴
Let's consider the given Cauchy-Euler equation for t > 0:
t²(d²y/dt²) + 2t(dy/dt) - 20y = 0
To solve this equation, we can assume a solution of the form y(t) = tⁿ, where r is a constant to be determined.
Now, let's find the derivatives of y(t) with respect to t:
dy/dt = rtⁿ⁻¹ d²y/dt² = r(r-1)tⁿ⁻²
Substituting these derivatives back into the Cauchy-Euler equation, we get:
t²(r(r-1)tⁿ⁻²) + 2t(rtⁿ⁻¹) - 20tⁿ = 0
Simplifying this equation, we have:
r(r-1)tⁿ + 2rtⁿ - 20tⁿ = 0
Factoring out tⁿ, we get:
tⁿ [r(r-1) + 2r - 20] = 0
Since t > 0 for the given equation, we can divide both sides of the equation by tⁿ to obtain:
r(r-1) + 2r - 20 = 0
Expanding and rearranging this equation, we get:
r² + r - 20 = 0
Now, we can solve this quadratic equation for r. Factoring it, we have:
(r + 5)(r - 4) = 0
Setting each factor equal to zero, we find two possible values for r:
r + 5 = 0, which gives r = -5 r - 4 = 0, which gives r = 4
These values of r represent the roots of the characteristic equation associated with the Cauchy-Euler equation. Since we have two distinct roots, the general solution to the Cauchy-Euler equation can be written as a linear combination of the corresponding solutions:
y(t) = C1 * t⁻⁵ + C2 * t⁴
Where C1 and C2 are arbitrary constants that can be determined using initial conditions or boundary conditions if provided.
To know more about Cauchy-Euler equation here
https://brainly.com/question/12977984
#SPJ4
The holcombe family went out to dinner the meal cost 54.65 the sales tax is 8 peecent the tip was 18 percent of the meal and tax there are 5 people in the holcomebe family what was the cost per person for the meal including sales tax and tip
Answer:
13.93
Step-by-step explanation:
Meal = 54.65
Sales tax = 8%
= 8/100 * 54.65 + 54.65
= 0.08 * 54.65 + 54.65
= 4.372 + 54.65
= 59.022
Tip = 18% of the meal and tax
= 18/100 * 59.022 + 59.022
= 0.18 * 59.022 + 59.022
= 10.62396 + 59.022
= 69.64596
Total people in the holcomebe family = 5
Cost of meal per person =
69.64596 / 5
= 13.929192
Approximately 13.93
Tony has an 8 cm by 12 cm paper rectangle. he folds it in half three times, each time making a smaller rectangle. what is the least possible perimeter of the rectangle after the third fold, in cm?
The least possible perimeter of the rectangle after the third fold is 14 cm.
What is the minimum perimeter achieved by folding the rectangle?To calculate the least possible perimeter of the rectangle after the third fold, we need to determine how the dimensions change with each fold.
After the first fold, the rectangle is divided into two smaller rectangles with dimensions 8 cm by 6 cm each.
After the second fold, the rectangle is divided into two smaller rectangles with dimensions 4 cm by 6 cm each.
After the third fold, the rectangle is divided into two smaller rectangles with dimensions 4 cm by 3 cm each.
To find the perimeter, we add up the lengths of all four sides of the rectangle:
\(4 cm + 3 cm + 4 cm + 3 cm = 14 cm.\)
However, since the question asks for the "least" possible perimeter, we need to consider the folding process. When folding the paper, the sides may not necessarily align perfectly, resulting in overlapping or uneven edges.
In this case, the overlapping portion would not contribute to the perimeter. Thus, we exclude the overlapping portion and consider only the outer edges of the final folded rectangle.
The outer edges of the final folded rectangle after the third fold have a length of 4 cm + 3 cm + 4 cm + 3 cm = 14 cm.
Therefore, the least possible perimeter after the third fold is 14 cm.
Learn more about Perimeter
brainly.com/question/21220485
#SPJ11
Question 1 (2 x 12 = 24 marks) Analyze and discuss the performance (in Big-O notation) of implementing the following methods over Singly Linked List and Doubly Linked List Data structures: To be submitted through Turnitin.Maximum allowed similaritv is 15% Operation Singly Linked List Doubly Linked List add to start of list Big-O notation Explanation add to end of list Big-O notation Explanation add at given index Big-O notation Explanation
In analyzing the performance of implementing the given methods over Singly Linked List and Doubly Linked List data structures, we consider the Big-O notation, which provides insight into the time complexity of these operations as the size of the list increases.
Add to Start of List:
Singly Linked List: O(1)
Doubly Linked List: O(1)
Both Singly Linked List and Doubly Linked List offer constant time complexity, O(1), for adding an element to the start of the list.
This is because the operation only involves updating the head pointer (for the Singly Linked List) or the head and previous pointers (for the Doubly Linked List). It does not require traversing the entire list, regardless of its size.
Add to End of List:
Singly Linked List: O(n)
Doubly Linked List: O(1)
Adding an element to the end of a Singly Linked List has a time complexity of O(n), where n is the number of elements in the list. This is because we need to traverse the entire list to reach the end before adding the new element.
In contrast, a Doubly Linked List offers a constant time complexity of O(1) for adding an element to the end.
This is possible because the list maintains a reference to both the tail and the previous node, allowing efficient insertion.
Add at Given Index:
Singly Linked List: O(n)
Doubly Linked List: O(n)
Adding an element at a given index in both Singly Linked List and Doubly Linked List has a time complexity of O(n), where n is the number of elements in the list.
This is because, in both cases, we need to traverse the list to the desired index, which takes linear time.
Additionally, for a Doubly Linked List, we need to update the previous and next pointers of the surrounding nodes to accommodate the new element.
In summary, Singly Linked List has a constant time complexity of O(1) for adding to the start and a linear time complexity of O(n) for adding to the end or at a given index.
On the other hand, Doubly Linked List offers constant time complexity of O(1) for adding to both the start and the end, but still requires linear time complexity of O(n) for adding at a given index due to the need for traversal.
To learn more about Big-O notation visit:
brainly.com/question/30452896
#SPJ11
what is the missing letter? high amount of points
Based on the pattern or sequence, it can be concluded that the missing letter is K.
What principle does the sequence follow?To understand the principle or fule the sequence follows, let's analyze the letters given:
A - C - E
These letters show the sequence follows the alphabet order but one of the letters is omitted. In the first case, the letter omitted is B and in the second case, the letter omitted is E. Based on this, the missing letter should be K.
Learn more about sequences in https://brainly.com/question/30262438
#SPJ1
Name a line that contains point b
Answer:
I think the answer is c.CB
Given j // m // n, find the value of x
Answer:
X = 50° ( being. vertically opposite angle)
A sample of size 45 will be drawn from a population with mean 10 and standard deviation 5. Find the probability that x will be greater than 11.
The probability that the sample mean x will be greater than 11 is approximately 9.01%.
To find the probability that the sample mean (x) will be greater than 11 given a sample size of 45 drawn from a population with a mean of 10 and a standard deviation of 5, follow these steps:
Step 1: Calculate the standard error (SE) of the sample mean.
The standard error is given by the formula:
SE = population standard deviation / √sample size.
In this case, SE = 5 / √45 ≈ 0.745.
Step 2: Calculate the z-score corresponding to the given value of x.
The z-score is given by the formula:
z = (x - population mean) / SE.
In this case, z = (11 - 10) / 0.745 ≈ 1.34.
Step 3: Use the z-score to find the probability that x will be greater than 11.
The probability can be found using a standard normal (z) table or a calculator.
A z-score of 1.34 corresponds to a probability of approximately 0.0901 (9.01%).
Learn more about probability:
https://brainly.com/question/13604758
#SPJ11
Can you conclude that these triangles are congruent?
Yes or no
Answer:
Yes
Step-by-step
If there flipped then they’re congruent
Answer:
Yes
Step-by-step explanation:
Here we get two triangles,
In triangle MNH. In triangle JKH
can somebody help me out with this please? (you don’t have to do the thing where you show ur work on paper just show work please)
Answer: On 38+7k=8(k+4) k is going to equal 6. On 3(2x-1)=9(x+3) x is going to equal -10.
Step-by-step explanation: 38+7k=8k+32= 6x-3=9x+27
38=1k+32= -3=3x+27
6=1k k=6 -30=3x x=-10