Solve the equation
-2 = 2 + v/4

Answer:

2 pi : 1

Step-by-step explanation:

for every one unit of radius, there are two pi units in the circumference!

Answer:

Step-by-step explanation:

Ok, so pretend each k has a 1 in front of it. so 1k+1k+1k= 3k. If you need a different equation, you can do 2k+1k=3k or something like that. :)

Part a

\((f \circ g)(x)=f(g(x))=\sqrt{x+9}\)

Part b

\((g \circ f)(x)=g(f(x))=\sqrt{x}+9\)

Part c

\((f \circ g)(7)=\sqrt{7+9}=4\)

Part d

\((g \circ f)(7)=\sqrt{7}+9\)

The missing length of the triangle using Pythagoras theorem is; x = 3

Pythagoras Theorem is defined as the way in which you can find the missing length of a right angled triangle. The right angle triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).

The formula to find the sides is;

hypotenuse² = opposite + adjacent²

We are given;

Hypotenuse = 5

Opposite = x

adjacent = 4

Thus;

5² = x² + 4²

x² = 5² - 4²

x² = 25 - 16

x = √9

x = 3

We conclude that it is the missing length of the triangle

Read more about Pythagoras Theorem at; https://brainly.com/question/231802

#SPJ1

To avoid bias in the survey, the human resources director creates a list of all the employees and randomly selects 150 of them to complete the survey.

In this scenario, we have a company that employs 650 people and wishes to survey a sample of its employees about the company culture.  Let's match each term with its corresponding description:

1. Population: The population refers to the entire group of individuals that the survey aims to represent. In this case, the population is the total number of employees in the company, which is 650.

2. Sample: A sample is a subset of the population that is selected for data collection and analysis. It represents a smaller portion of the population. In this scenario, the sample consists of the 150 employees randomly selected by the human resources director.

3. Random Selection: Random selection is the process of choosing individuals from the population in a way that ensures each member has an equal chance of being included in the sample. By randomly selecting the 150 employees, the human resources director avoids bias and increases the likelihood that the sample represents the entire population.

4. Survey: A survey is a data collection method used to gather information from individuals within the sample. In this case, the selected employees will be asked to complete a survey about the company culture.

By randomly selecting 150 employees from the total population of 650, the company aims to create a sample that is representative of the entire workforce. This helps to avoid bias and increase the generalizability of the survey findings. The survey responses from the selected employees will provide insights into the company culture, which can then be used to make informed decisions or improvements. It's important to note that the quality of the survey and the representativeness of the sample can impact the validity and reliability of the survey results. Therefore, careful consideration should be given to the sampling method and survey design to ensure accurate and meaningful findings.

Learn more about randomness here:

brainly.com/question/29315928

#SPJ11

Answer:

as

Step-by-step explanation:

The given two-way Frequency table, there are 33 left-handed students who are not in the music program.

The number of left-handed students who are not in the music program, we need to examine the data presented in the two-way frequency table.

From the table, we can see that the number of left-handed students in the music program is 15, and the total number of left-handed students is 48.

the number of left-handed students not in the music program, we subtract the number of left-handed students in the music program from the total number of left-handed students.

Number of left-handed students not in the music program = Total number of left-handed students - Number of left-handed students in the music program

Number of left-handed students not in the music program = 48 - 15

Calculating this, we find that the number of left-handed students not in the music program is 33.

Therefore, there are 33 left-handed students who are not in the music program, based on the data provided in the two-way frequency table.

In conclusion, based on the given two-way frequency table, there are 33 left-handed students who are not in the music program.

To know more about Frequency .

https://brainly.com/question/28821602

#SPJ8

Answer:

It's 4

Step-by-step explanation:

You know!, 2*2 =4

It will be B.

Hope this helps!

Answer:

A.

Step-by-step explanation:

The points are at 3,1 which 3/1=3, 6,2, which 6/2=3/1, and 9,3, which 9/3=3/1.

(hope this helps!)

the answer is on the picture

The least positive integer we can get as the product is 2.

Here we have the following set of numbers:

{-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5}

And we want to take the product between 3 of them and find the least positive integer that we can get as the product.

So it makes sence to choose the smallest absolute value numbers (not zero) such that one is positive and two are negative (we want two negative ones so the signs cancell eachother)

Then we will get:

1*(-1)*(-2) = 2

That is the least positive integer we can get as the product.

Learn more about products at:

https://brainly.com/question/794810

#SPJ1

Solution

Firstly, we will find the third angles of both triangles,

The sum of angles in a triangle is 180 degrees.

If we know that two angles of one triangle are 112° and 39°

Let the third angle be x

The third angle is 29 degrees

And two angles of another triangle are 39° and 29°

Let the third angle be y

The third angle is 112 degrees

Two triangles are similar if their corresponding angles are equal.

Since, their corresponding angles are equal

Hence, then the two triangles must be similar (option d)

Answer:

Distance=4.24

Step-by-step explanation:

By the Pythagorean Theorem:

3^2+3^2=distance^2

9+9=distance^2

Distance=4.24

If Joe runs 11 miles in 68 minutes. The number of  minutes he take per mile is: 0.1617 miles per minutes .

Using this formula to determine the rate

Rate = Distance/ Time

Where:

Distance = 11 miles

Time = 68 minutes

Let plug in the formula

Rate  = 11 miles / 68 minutes

Rate = 0.1617 miles per minute

Therefore the 0.1617 miles per minute.

Learn more about rate here:https://brainly.com/question/119866

#SPJ1

So, the probability of randomly selecting a password that does not repeat any numbers is 189/625.

Probability is a branch of mathematics that deals with the study of random events or phenomena. It is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that an event is certain. Probability theory is used to model and analyze a wide range of phenomena, including games of chance, weather patterns, financial markets, and many others. The concepts and methods of probability are also widely used in statistics, data analysis, and machine learning to make predictions and draw inferences from data.

Here,

The first digit of the password can be any of the 10 digits from 0 to 9. The second digit can be any of the 9 remaining digits (since we can't repeat the first digit). Similarly, the third digit can be any of the 8 remaining digits, the fourth digit can be any of the 7 remaining digits, and the fifth digit can be any of the 6 remaining digits. Therefore, the total number of possible passwords is:

10 × 9 × 8 × 7 × 6 = 30,240

Now, we need to find the number of passwords that do not repeat any numbers. For the first digit, we have 10 choices. For the second digit, we have 9 choices (since we can't repeat the first digit). For the third digit, we have 8 choices (since we can't repeat the first two digits). Similarly, for the fourth and fifth digits, we have 7 and 6 choices, respectively. Therefore, the total number of passwords that do not repeat any numbers is:

10 × 9 × 8 × 7 × 6 = 30,240

So, the probability of randomly selecting a password that does not repeat any numbers is:

30,240 / 100,000 = 0.3024

As a fraction in reduced form, this is:

3024/10000 = 189/625

To know more about probability,

https://brainly.com/question/30034780

#SPJ1

The interval of convergence for the power series is the set of all values of x for which the series converges. The table mentioned in your question likely shows the values of x for which the series converges or diverges.

The interval of convergence for a power series is determined by finding the values of x for which the series converges absolutely. The convergence or divergence of a power series can be determined using various tests, such as the ratio test or the root test.
Once the interval of convergence is found, it can be summarized as a range of values for x. For example, if the interval of convergence is (-3, 5], then the series converges for all values of x between -3 and 5, inclusive.

Hence, the interval of convergence for a power series is the set of all values of x for which the series converges, and it can be determined by finding the values of x for which the series converges absolutely.

learn more about convergence of series click here:

https://brainly.com/question/28209832

#SPJ11

Answer:

x=6

Step-by-step explanation:

x+54+5x=90

6x+54=90

6x=36

x=6

Answer:

x=6

Step-by-step explanation:

So, lets go over what we know.

Angle 5x and angle x+54 make up 90 degrees.

We know its 90 degrees since there is a square like symbol on the side of the line.

To sovle for x, we must add the two angles together. This will make them equivelent to 90 degrees.

So:

5x+x+54=90

=

6x+54

Now that we combined our two angles, we can solve it like a normal equation:

6x+54=90

subtract 54 from both sides to get 6x alone:

6x=36

Now divide both sides by 6 so x is alone:

x=6

So now we know that x=6.

If you wan to check your answer, just look at the orginal graph, plug in 8 for x, and see if the two angles add up to 90:

Angle 5x:

5*6

=

30

Angle x+54

6+54

=

60

Add the two angles together:

30+60

=

90

So we have checked and the answer is still correct!

Hope this helps! :D

Answer:

8 inches

Step-by-step explanation:

Answer:

fdfdffdfdfdfdfdfd

Step-by-step explanation:

No, because there is one x-value that corresponds to two y-values. Hence option D is the correct answer.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is often represented as y = f. (x).

We know that each input is connected to precisely one output in a function. In the graph given one 2 input value correspond to the same output value and hence, it does not form a function.

Learn more about function here:

https://brainly.com/question/12431044

#SPJ1

Hey there,

We have,

f(x) = x² + 11x + 30g(x) = x + 6

Now,

(f.g)(x) = f(g(x))

Substituting...

g(x) = x + 6f(g(x)) = f(x + 6)

Now,

f(x + 6)= (x + 6)² + 11(x + 6) + 30= x² + 12x + 36 + 11x + 66 + 30= x² + 23x + 132

So,The value is x² + 23x + 132

The two points that represent Justine‘s function for the yards left to hike in terms of the hours she spent hiking are; (0, 320) and (4, 0)

From the table in the attached file, we see that;

Justine started when Michael was 320 yards from the top.

This coordinate is expressed as (0,320)

where;

0 represents the time Justine started

320 represents the number of yards left.

Now, it is clear that every minute, Justine covers 80 yards.

Thus;

After 1 minute, Justine will have:

(320 - 80) yards left

After 2 minutes, Justine will have:

(320 - 80 - 80) yards left

After 3 minutes, Justine will have:

(320 - 80 - 80 - 80) yards left

After n minutes, Justine will have;

(320 - 80n) yards left

Thus, the possible coordinates are:

(0, 320), (1, 240), (2, 160), (3, 80), (4, 0)

Read more about true coordinates at; https://brainly.com/question/16094976

#SPJ1

The given set of vectors in R with the defined addition and scalar multiplication operations does not satisfy the closure properties, violating the vector space axioms.

In the first part, the set of vectors with the given operations does not satisfy all of the vector space axioms.

In the second part, let's examine the vector space axioms to determine which ones are not satisfied.

Closure under addition: The axiom states that for any vectors u and v in the set, the sum u + v must also be in the set. If we consider the vectors (1, 0) and (0, 1), their sum is (1, 1), which is not in the given set. Therefore, closure under addition is not satisfied.

Closure under scalar multiplication: The axiom states that for any scalar c and vector u in the set, the scalar multiple c * u must be in the set. If we consider the vector (1, 1) from the previous example, multiplying it by a scalar c will result in the vector (c, c). However, for certain values of c, such as c = 2, the resulting vector (2, 2) is not in the given set. Hence, closure under scalar multiplication is not satisfied.

Since the set does not satisfy closure under addition and closure under scalar multiplication, it does not satisfy the vector space axioms.

Learn more about scalar multiplication here:

https://brainly.com/question/30221358

#SPJ11

Answer:

b and D

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The expression that is equivalent to 32x - 48 are,

-4(-8x - 12)

4(8x - 12)

8(4x - 6)

Options A, B, and D are the correct answers.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

32x - 48

A.

-4 (-8x - 12)

= (-4 x - (8x)) - (-4 x -12)

= 32x - 48

B.

4 (8x - 12)

= 32x - 48

C.

8(-4x + 6)

-32x + 48

D.

8 (4x - 6)

32x - 48

Thus,

The expression that is equivalent to 32x - 48 are,

-4(-8x - 12)

4(8x - 12)

8(4x - 6)

Options A, B, and D are the correct answers.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

To prove the statement, we can consider the group homomorphism called the sign homomorphism from Sn to the group Z2, where Sn is the symmetric group on n elements and Z2 is the group of integers modulo 2.

Let's denote the sign homomorphism as ε: Sn → Z2. It maps a permutation in Sn to its parity, i.e., whether it is an even or odd permutation.

By definition, the kernel of the sign homomorphism ε is the set of even permutations in Sn. Let's denote this subgroup as K = ker(ε).

Now, consider a subgroup H of Sn. We know that the intersection of two subgroups is also a subgroup. Therefore, the intersection H ∩ K is a subgroup of both H and K.

Now, let's consider the cosets of H ∩ K in H. By the Lagrange's theorem, the index of H ∩ K in H, denoted [H:H ∩ K], divides the order of H, denoted |H|. Since |H| = |H ∩ K| * [H:H ∩ K], we can conclude that [H:H ∩ K] is either 1 or 2.

If [H:H ∩ K] = 1, then H = H ∩ K, which means every member of H is in K, i.e., every member of H is an even permutation.

If [H:H ∩ K] = 2, then there are exactly two cosets of H ∩ K in H. Since the index is 2, each coset has the same number of elements. One of the cosets corresponds to even permutations, as it contains K. The other coset corresponds to odd permutations. Therefore, exactly half of the members of H are even permutations.

Thus, we have shown that if H is a subgroup of Sn, then either every member of H is an even permutation or exactly half of the members are even permutations.

To learn more about permutation refer below:

https://brainly.com/question/30967955

#SPJ11

Answer:

Amount earned in 1 hour = $9

In one week Micheal works = 28 hours

So, in one week she gets $9 * 28

=> $252

Hence, she would earn $252 in one week, in Six weeks she will get,

=> $252 * 6 = $1512

If my answer helped, kindly mark me as the brainliest!

Thank You!!

Answer:

43 because 80-37=43

Step-by-step explanation:

The answer from me is M

Answer:

Point M

Step-by-step explanation:

Since X is positive and Y being negative you would look in the bottom right quadrant

Answer:

B

Step-by-step explanation:

answer is B, 3,500. B 3500

The total number of samples will be 1109 .

Given ,

Margin of error 0.02

Here,

According to the formula,

\(Z_{\alpha /2} \sqrt{pq/n}\)

Here,

p = proportions of scientist that are left handed

p = 0.09

n = number of sample to be taken

Substitute the values,

\(Z_{0.01} \sqrt{0.09 * 0.91/n} = 0.02\\ 2.33 \sqrt{0.09 * 0.91/n} = 0.02\\\\\\\)

n ≈1109

Thus the number of samples to be taken will be approximately 1109 .

Know more about proportions,

https://brainly.com/question/31548894

#SPJ4