For P={9,12,14,15},Q={1,5,11}, and R={4,5,9,11}, find P∪(Q∩R). Let U={1,2,3,4,5,6,7},A={1,3,5,6}, and B={1,2,6}. Find the set A∩B.

Answer:

(-2x)-5x-9 = (-7x)-9

3x - 13 = 3x - 13 (you cannot simplify more)

Your question was wery wierd but i tried to answer best I could.

And also I dont know what you mean about "-+5"

Answer:

(-7x-9)+(3x-13)= -4x-22

Simplify the first one -2x-(5x)-9= -7x-9

Put the thing together that fit (Add the terms together)

Answer:

answer is 120 for the first one

30.8 for the second one

Step-by-step explanation:

First one:

Going diaganally is 305.16389 feet

going along the fence is 425 feet

answer is 119.838611

Answer:

P(1.5, 3.5)

Step-by-step explanation:

We need to find the average of the x and y coordinates. We do this by adding the two values, then dividing by two:

P(x1 + x2/ 2, y1 + y2/2) = P(1 + 2/ 2, 2 + 5/ 2) = P(3/2, 7/2) = P(1.5, 3.5)

These are our coordinates!

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{a = - 11}}}}}\)

Step-by-step explanation:

\( \sf{4a - 2(3a + 8) = 6}\)

Distribute 2 through the parentheses

\( \longrightarrow{ \sf{4a - 6a - 16 = 6}}\)

Collect like terms

\( \longrightarrow{ \sf{ - 2a - 16 = 6}}\)

Move 16 to right hand side and change it's sign

\( \longrightarrow{ \sf{ - 2a = 6 + 16}}\)

Add the numbers: 6 and 16

\( \longrightarrow{ \sf{ - 2a = 22}}\)

Divide both sides by 2

\( \longrightarrow{ \sf{ \frac{ - 2a}{ - 2} = \frac{22}{ - 2}}} \)

Calculate

\( \longrightarrow{ \sf{a = - 11}}\)

Hope I helped !

Best regards! :D

I found the graph, the answer should be 25$

Answer:

33343555

4

3

4

34

2354555444

5224

34

32555555

555

5

32

55233=3=44

Step-by-step explanation:

Step-by-step explanation:

selling price after 15%discount

=12000-(15/100)*12000

=12000-1800

=10200

after 10% VAT

S.P=110% of 10200

=(110/100)*10200

=11220

The teacher could use a hypothesis test for a population mean in the following situation:

The teacher wants to determine if computer-based instruction has a statistically significant effect on the average test scores of students in the class. The teacher can collect a sample of test scores from students who received computer-based instruction and a sample of test scores from students who did not receive computer-based instruction. Then, the teacher can use a hypothesis test for the population mean to compare the mean test scores of the two groups and determine if the difference is statistically significant.

To know more about hypothesis test,

https://brainly.com/question/30588452

#SPJ11

Complete question:

teacher is experimenting with computer-based instruction In which situation could the teacher use a hypothesis test for a ifference in two population means?

O The teacher uses a combination of treditional methods and computer based instruction She asks students # they lked computer based instruction better She wants to determine if the maorty prete the computer-based instruction

O She gives each student a pretest Then she teaches a lesson using a computer program Afterwards, she gives each student a postest The teacher wants to see f the difference in scores willshow an improvement 。

She ran om y d des the class into t goups One gup ecerves computer based instruction The other group recen es tradit na n rete wit t copters Ahe rst eten een student ha to solve a single problem. The teachers wants to compare the proportion of each group who can solve the problem 。She gives each student a pretest he then randomly dvides the class mto two groups.

Ο e group receves compte based i struct . The other go p eceves tradtind rst cto with t computers After instruction each student takes a post test. The teacher compares the improvement in scores (post test minus pretest) in the two groups

Functions are mathematical algorithms used to generate message summaries or digests for verifying message identity and content integrity.

Functions, in the context of cryptography and information security, are mathematical algorithms that play a crucial role in generating message summaries or digests. These digests are commonly referred to as hash values or fingerprints. The primary purpose of using functions is to confirm the identity of a specific message and ensure that the content has not been altered.

A hash function takes an input message of any length and applies a series of mathematical operations to produce a fixed-length output, typically represented as a sequence of alphanumeric characters. This output is unique to the input message, meaning even a slight change in the message would result in a significantly different hash value. By comparing the generated hash value with the originally computed one, it is possible to determine if the message has remained intact or if any tampering has occurred.

The use of functions in message verification provides a practical and efficient way to ensure data integrity and authenticity. It enables recipients to confirm that the received message matches the originally transmitted one, providing assurance against unauthorized modifications or tampering. Functions are widely utilized in various security protocols, such as digital signatures, integrity checks, and secure communication channels, to enhance the overall security of information systems.

Learn more about mathematical operations here:

https://brainly.com/question/29635854

#SPJ11

The dental specialist might utilize a speculation test for contrast in two populace implies in case they were comparing the number of cavities.

patients who utilized the unused fluoride toothpaste to the number of cavities in patients who utilized standard toothpaste. 

In this case, the dentist was interested in having two independent groups (patients with new fluoride toothpaste and patients with standard toothpaste) and comparing the average number of caries in each group.

If the hypothesis test conditions for the difference between the two population means are met (e.g., normality and equal variance),

the dentist performs her t-test to find statistics that can determine whether there is a significant difference between the two groups. 

learn more about  t-test

brainly.com/question/15870238

#SPJ4

Answer: 50,000 pennies

Step-by-step explanation: there are 100,000 centimeters in a kilometer, since a penny is 2 centimeters in length, divide 100,000 by 2 t get 50,000

Answer:

Phoebe: 180

Andy: 60

Polly: 30

Step-by-step explanation:

Let Polly's money be P  

Then Andy's money = P * 2 = 2P  

Then Pheobe's money = 2P * 3 = 6P  

There are 9 P's (P + 2P + 6P)

270 / 9 P's = 30

Therefore P = 30

Polly gets $30

Andy gets 30 * 2 = $60

Phoebe gets 60 * 3 = $180

Checking:    

180 + 60 + 30 = 270

Please mark as Brainliest.

In mathematical induction, prove that n lines separate the plane into (n^2 + n + 2)/2 regions if no two of these lines are parallel and no three pass through a common point.

Mathematical induction is a mathematical proof method that is used to demonstrate a statement or formula for all values of n, where n is a positive integer. If we use induction, we can show that the formula is true for n = 1, and we can also show that if the formula is true for n = k, then it is also true for n = k + 1.

Proof for n lines separating the plane into (n^2 + n + 2)/2 regions is given below:

Base Case: The theorem is true for n = 1. When we draw one line in the plane, we see that it splits the plane into two regions. Hence the formula is true for n = 1.

Induction Hypothesis: We believe that the formula is true for k lines. That is, k lines split the plane into (k^2 + k + 2)/2 regions.

Induction Step: We want to demonstrate that the formula is also true for k + 1 lines. We first take an arbitrary line from these k + 1 lines, which we call l. We notice that this line splits the plane into two regions.

Now, for the remaining k lines, we make an induction argument. We are sure that the formula is true for k lines. Thus, the k lines split the plane into (k^2 + k + 2)/2 regions. We know that these k lines intersect the line l at k points. Thus, by adding line l, we create k + 1 regions on the plane between these lines.

We now consider the line l itself. It can't cross any of the other k lines, or it would not meet our requirements. Therefore, it crosses each of the k existing lines, generating k + 1 areas. Thus, with the inclusion of line l, the number of regions on the plane is (k^2 + k + 2)/2 + k + 1 = (k^2 + 3k + 4)/2.

The formula for k + 1 is (k + 1)^2 + (k + 1) + 2 = k^2 + 3k + 4, and it is thus identical to the formula for the number of regions when k lines are drawn on the plane.

Therefore, the statement is true for all positive integers n.

Therefore, we have proved that n lines separate the plane into (n^2 + n + 2)/2 regions if no two of these lines are parallel and no three pass through a common point, by using mathematical induction.

To know more about "mathematical induction": https://brainly.com/question/29503103

#SPJ11

The equilibria are classified as unstable: X = -1/6 stable, X = 1/6. Lim xt for the given initial values is 0.533.

Given difference equation is 4x2 - X0 = 0.2,

10 = 2 + 3 Xt + 1 2 Хt.

We need to find the equilibria of the difference equation and classify them as stable or unstable.

To find equilibrium points, we set

4x2 - X0 = 0.2 and 10 = 2 + 3 Xt + 1 2 Х t to 0 and solve for X.

So,

4x2 - X0 = 0.2

=> x2 = X0/4 + 0.05/4

=> x = (X0/4 + 0.05/4)^(1/2)

The equilibrium points are (0,0), (X, 2/3 - X/2). To classify them as stable or unstable, we calculate the first derivative of f(X), which is,

f'(X) = 6X^2 - 1/2.

It gives us the critical points X = 1/6 and X = -1/6 as possible maxima and minima.

By the second derivative test, we can show that X = 1/6 is a local minimum and X = -1/6 is a local maximum.

Since the derivative of f(X) is positive before X = -1/6 and after X = 1/6 and is negative between them, we know that the equilibrium point X = -1/6 is unstable and X = 1/6 is stable.

Hence, the equilibria are classified as:

unstable: X = -1/6

Stable: X = 1/6

Therefore, the equilibria are classified as unstable: X = -1/6 stable, X = 1/6. Lim xt for the given initial values is 0.533.

To know more about the second derivative test, visit:

brainly.com/question/31173582

#SPJ11

Frealem 4.12, also known as Katio Calculations, is a collection of computational tools that aid in solving mathematical problems. It encompasses various features and functionalities to assist users in performing complex calculations efficiently.

Frealem 4.12, referred to as Katio Calculations, is a comprehensive suite of computational tools designed to assist individuals in solving mathematical problems. This software package comprises an array of features and functionalities that enable users to perform complex calculations with ease.

One of the notable aspects of Frealem 4.12 is its ability to handle diverse mathematical operations, ranging from basic arithmetic to advanced calculus and algebraic equations. The software employs sophisticated algorithms and numerical methods to ensure accurate and reliable results.

Furthermore, Frealem 4.12 provides a user-friendly interface, making it accessible to both novice and experienced mathematicians. The software incorporates intuitive input methods, allowing users to enter equations and expressions using standard mathematical notation. Additionally, it offers a range of visual representations, such as graphs and plots, to aid in the interpretation and analysis of mathematical data.

With its powerful computational capabilities and user-friendly design, Frealem 4.12 (Katio Calculations) serves as a valuable tool for individuals in various fields, including engineering, physics, finance, and education. It streamlines the process of mathematical problem-solving, facilitating efficient and accurate calculations.

Learn more about arithmetic here:

https://brainly.com/question/16415816

#SPJ11

Meaning of the △ is: the given symbol is the representation of the geometrical figure triangle.

Therefore, the meaning of the given symbol △ is the representation of the triangle.

Learn more about triangle here

brainly.com/question/2773823

#SPJ4

The rate of change in the given graph is 21/4.

The rate of change defines the speed of a variable changes over another variable. On the given graph, we can calculate the rate of change using the formula:

Rate of change = Δy / Δx

To calculate the rate of change of the given graph, we need to identify 2 points first. We take:

(0, 0)

(4, 21)

Rate of change = Δy / Δx

Rate of change = y₂ - y₁

                             x₂ - x₁

Rate of change = 21 - 0

                               4 - 0

Rate of change = 21/4

Learn more about Rate of Change here: brainly.com/question/29518179

#SPJ1

Answer:

That is quite simple,7 is the best choice

All the numbers in the list of options are real numbers

The numbers in the options represent the given parameter

As a general rule;

Real number consists of the following types of numbers

Any number other than this is a complex number

And it is denoted by the letter i

There are no complex number in the list of options

This means that 86/49, √77, 69 and 7 1/2 are all real numbers

Read more about real numbers at

https://brainly.com/question/13428340

#SPJ1

Height = 7cm

Surface area = 462 cm2

The surface area of a cylinder is equal to the area of each circle ( pi x radius^2) plus the area of the side (2 pi x radius x height)

Surface area of a cylinder = pi r2 + pi r2 + 2pi r h

Since it is closed at one end, we only add one circle area:

S = pi r2 + 2pi r h

Replacing with the values given:

462 = pi r^2 + 2pi (r) 7

462 = pi r^2+ 43.98 r

462 -44r = pi r^2

(462-44r)/pi = r^2

147-14r = r^2

0= r^2 +14r -147

(r+21 ) (r-7)=0

r=-21 or r=7

Since it can be negative:

radius = 7

Answer:

where is the question???

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Answer:

Around 300 pounds

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

you would first simply the fraction down

13 goes into both numbers so the fraction can be simplified to

2/5 which is think is simply enough to know that 2/5 is 40% but if not the explanation would be

100÷5 =20

20 x by the 2 from the fraction

= 40%

Step-by-step explanation:

65 = 100%

0.65 = 1%

26 = x%

x = (26 ÷ 0.65)%

x = 40%

The probability that a student who passed the exam got more than 6 hours of sleep to the nearest percent is 63%.

To answer this question, we need to know two pieces of information: the number of students who passed the exam and the number of those students who got more than 6 hours of sleep. Let's say that there were 100 students who took the exam, and 80 of them passed. Out of those 80 students, 50 of them got more than 6 hours of sleep.
To find the probability of a student who passed the exam getting more than 6 hours of sleep, we need to divide the number of students who got more than 6 hours of sleep by the total number of students who passed the exam and multiply by 100 to get a percentage:
50 / 80 x 100 = 62.5%
Therefore, the probability that a student who passed the exam got more than 6 hours of sleep to the nearest percent is 63%.

To know more about probability visit :

https://brainly.com/question/22983072

#SPJ11