6 (4x-5)

simplify

help needed urgently

The circumference of the circle in terms of π whose radius is given would be = 63π. That is option D.

To calculate the circumference of a circle, the formula that should be used would be given below.

That is;

circumference of circle= 2πr

The radius = 31½

circumference = 2×π × 31½

= 2×π× 63/2

= 63π

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Answer: |t - 15| ≤ 30 ; -30 ≤ t - 15 ≤ 30

Step-by-step explanation:

To set up the equation, we have to find the center, and the tolerance, so that we can use formula "|x - c| ≤ t"

First, we can find the tolerance by adding both number, then dividing by 2 --> -15 + 45 = 30 --> 30/2 = 15, so we now know that the center is 15

Next, we can find the tolerance by finding the distance between the center and one of the number --> 15 - (-15) = 30, so we now know that the tolerance is 30

Now we can set up our equation,

center (c) = 15

tolerance (t) = 30

|t - 15| ≤ 30

Now that we have our equation, we can set up the inequality

|x - c| ≤ t = -t ≤ x - c ≤ t

so,

-30 ≤ t - 15 ≤ 30

Hope this helps!

(sorry it was so long)

Answer:

7m and m = 8

7(8) = 56 one solution and that solution is 56

Step-by-step explanation:

Answer:

Hey there!

There is only one solution.

7(8)=56. It cannot be anything else.

Let me know if this helps :)

Answer:

A

Step-by-step explanation:

0<\(\frac{769000}{23}\)

F(x,y) · r(x,y) = 4(yi - xj) · (xi + yj)= 4xy - 4xy = 0

The two vectors are perpendicular to each other, and the length of F(x,y) is 4, as desired.

A two-dimensional vector field is a vector field in which each point in the plane is associated with a vector.

It is represented by a pair of functions (P, Q), each of which maps (x, y) to a real number, and the vector field itself is written as F = P i + Q j. Let's write a formula for a two-dimensional vector field that has all vectors of length 4 and is perpendicular to the position vector at that point

The formula for a two-dimensional vector field that has all vectors of length 4 and is perpendicular to the position vector at that point is given by:

F(x,y) = 4(yi - xj)

Here, the position vector at any point (x, y) in the plane is given by r(x,y) = xi + yj, and its magnitude is

|r(x,y)| = √(x² + y²).

To see that F(x,y) is perpendicular to r(x,y), take their dot product:

F(x,y) · r(x,y) = 4(yi - xj) · (xi + yj)= 4xy - 4xy = 0

Thus, the two vectors are perpendicular to each other, and the length of F(x,y) is 4, as desired.

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Answer: look at the attached image

Step-by-step explanation:

The area of the shaded sector is \(8\pi\) square units

The area of a sector is calculated using:

\(A = \frac{\theta}{2}* r^2\)

So, we have:

\(A = \frac{\pi}{2}* 4^2\)

Evaluate the exponent

\(A = \frac{\pi}{2}* 16\)

Evaluate the quotient

\(A = 8\pi\)

Hence, the area of the shaded sector is \(8\pi\) square units

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Answer:

Step-by-step explanation:

Answer:

\( \frac{17}{k} \)

g(x) = 5x +6x if x <5 a if x-5

3x+I if x > 5 a
The value of a for which g is continuous from the right at 5 is 15.

Let g(x) = 5x +6x if x < 5 and 3x+a if x > 5.

a. To determine the value of a for which g is continuous from the left at 5, we set the left-hand limit equal to the right-hand limit and solve for a:

5 + 6(5) = 3(5) + a

30 = 15 + a

a = 15

Therefore, the value of a for which g is continuous from the left at 5 is 15.

b. To determine the value of a for which g is continuous from the right at 5, we set the right-hand limit equal to the left-hand limit and solve for a:

3(5) + a = 5 + 6(5)

15 + a = 30

a = 15

Therefore, the value of a for which g is continuous from the right at 5 is 15.

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Answer:

it would be 18 in 1 minute

The following is an excerpt from A First Training in Probability by Sheldon Ross. (74) = 35 is the right response.

Total moves required are 7, as follows:

Three steps up as well as four steps right.

Remember that perhaps the number of paths equals the number of arranged 7-tuples with 3 U's and 4 R's. As instance, the word URRURRU indicates to travel up, right, up, right, right, up.

There are 7 ways to arrange these letters, 7 ways to arrange the corresponding Us, and 7 ways to arrange the comparable Rs, for a total of 7!3!4! (74).

For each NxN grid, we may write the following as a generalization of our formula: It should be noted that there's a simpler method of writing this: D = N! / (K! * (N-K))! additionally known as the binomial coefficient.

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ANSWERS

A. AB ≅ FG

B. ∡C≅ ∡H

EXPLANATION

A. To use SAS theorem, we have to know if one more side is congruent to the corresponding side of the other triangle. SAS is side-angle-side. The angle must be included between the two sides. Therefore the missing side is AB congruent to FG:

B. To use ASA Theorem we have to know one more angle. Since ASA is angle-side-angle, the side must be between two angles. Therefore, the missing angle is angle C congruent to angle H:

a. The sampling method that I would use for the given scenario is stratified random sampling.

b. The sampling method that I would use for the given scenario is systematic sampling.

Stratified random sampling is the most effective way to get accurate results in this situation. The university wants to conduct a mail survey of its alumni to collect information about their current employment status to justify charging a higher tuition rate than other universities. Stratified random sampling divides the population into strata based on certain characteristics.

In this case, strata would be the alumni that have different degrees from the university. The information collected through this method will be more representative of the population than simple random sampling. It ensures that each stratum is represented accurately in the sample. It also minimizes the variability within each stratum. It is an effective way of ensuring that each stratum is properly represented.  

Systematic sampling involves selecting every kth element from a list of the population. In this situation, the Environmental Protection Agency (EPA) wants to inspect a sample of 1000 containers from the 40,000 containers known to be in landfills to determine if leakage from the containers has occurred. As the exact location of the containers is no longer known, systematic sampling can be used.

EPA can select every 40th container from the list of the population, as 40,000/1000 = 40. In this way, they will have a random sample of 1000 containers from the 40,000 containers. This sampling method is less time-consuming and more cost-effective than other sampling methods. It also ensures the sample is representative of the entire population.

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These special prime pairs are best known as "twin primes."

The question is about the unproven conjecture that there exist infinitely many pairs of prime numbers that differ by two, which are best known as a specific term. These special prime numbers, such as (17 and 19) or (1019 and 1021), are sometimes called "prime pairs" but they are best known as "twin primes."

Twin primes are the pairs of prime numbers that differ by a number of two, such as (3, 5), (5, 7), (11, 13), (17, 19), and so on. The conjecture that there are infinitely many twin primes is one of the oldest unsolved problems in number theory.

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3/13 would be the answer

\(\dfrac{6}{13}\) represents cutting something into 13 pieces and having 6 of those pieces.

\(\dfrac{9}{13}\) represents cutting something into 13 pieces and having 9 of those pieces.

Which of those is less?

The student covers a total distance of 22.05 kilometers in a week's time, walking between the park and the house each day.

To find the total distance covered by the student in a week's time, we need to calculate the distance covered in one round trip (from the house to the park and back) and then multiply it by the number of round trips in a week.

Given that the difference between the park and house is 1 kilometer and 575 meters, we can convert it to a total distance of 1.575 kilometers.

In a round trip, the student covers twice the distance between the park and the house, which is 1.575 kilometers * 2 = 3.15 kilometers.

Now, we need to determine how many round trips the student makes in a week. Let's assume the student makes one round trip each day.

Since there are 7 days in a week, the total distance covered by the student in a week's time is 3.15 kilometers * 7 = 22.05 kilometers.

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Thus, the number of volume read by both Eva and Maria in total 2 weeks is 8.

Slope is a crucial topic in economics because it's used to gauge how quickly things are changing.

The slope expresses how quickly the dependent variable changes when the independent variable changes. The line becomes steeper as the slope increases.

Given data:

Now,

Let the number of weeks at which both read the equal number of volume be x.

Total number of volume be y

So,

For Eva: y = 4 + 2x

For Maria: 0 + 4x

Equating both equations:

4 + 2x = 4x

4x - 2x = 4

2x = 4

x = 4/2

x = 2

Number of volumes read by each girl:

For Eva: y = 4 + 2(2)= 8

For Maria: 0 + 4(2) = 8

Thus, the number of volume read by both Eva and Maria in total 2 weeks is 8.

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The requried equivalent fraction is 7/4. Option B is correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Fraction is defined as the number of compositions that constitutes the Whole.

here,
7/6 divided by 2/3
= 7/6 ÷ 2/3
= 7/6 × 3/2
= 7/4

Thus, the requried equivalent fraction is 7/4. Option B is correct.

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it is important to consider the potential for intra-cluster similarity, as individuals within the same cluster may be more similar to each other than to individuals in other clusters.

A cluster sample is a sampling technique where the population is divided into clusters or groups, and a subset of clusters is selected at random to form the overall sample. In this type of sampling, all members of the selected clusters are included in the sample.

In the given example, the airline company selects 555 flights as clusters and surveys every passenger on those flights. Each flight represents a cluster, and by selecting random flights, the company includes every passenger on those selected flights in the survey.

This cluster sampling approach is suitable when each group or cluster is representative of the overall population. It is useful when it is impractical or costly to sample every individual unit within the population, but the selected clusters are expected to reflect the characteristics of the entire population.

Cluster sampling allows for more practical data collection, particularly when dealing with large populations or geographically dispersed units. However, it is important to consider the potential for intra-cluster similarity, as individuals within the same cluster may be more similar to each other than to individuals in other clusters.

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PESTLE framework is a tool used for analyzing an organization's macro-environment. The six main types of environmental factors are Political, Economic, Sociocultural, Technological, Legal, and Environmental.

True Economic forces are one of the types of influences analyzed in the PESTLE framework. False An organization's strength is not part of the types studied in the PESTLE framework. True The PESTLE framework is designed to provide a comprehensive list of influences on the possible success or failure of strategies. It is a useful tool for identifying opportunities and threats in the external environment of a company.

PESTLE framework is a tool used for analyzing an organization's macro-environment. It categorizes environmental influences into six main types that include Political, Economic, Sociocultural, Technological, Legal, and Environmental. The PESTLE framework is designed to provide a comprehensive list of influences on the possible success or failure of strategies. It is a useful tool for identifying opportunities and threats in the external environment of a company. The PESTLE framework can be used in conjunction with other tools, such as SWOT analysis, to gain a deeper understanding of an organization's position in the market.

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Answer:

always

Step-by-step explanation:

so if it isn't it will be an acute or an obtuse

The sampling technique used for the study described, where the financial advisor needs to know the average length of tenure of faculty at their college, is Census Sampling.

Census Sampling involves collecting data from the entire population, in this case, all faculty members at the college, to obtain accurate information about the average tenure length. This sampling technique ensures that every member of the population is included in the study, allowing for precise estimates of the parameter of interest.

Census Sampling is different from other sampling techniques like stratified sampling, cluster sampling, or simple random sampling, which involve selecting a subset of the population. In this particular study, it is reasonable to assume that the financial advisor has access to information on the tenure length for all faculty members, making it feasible to conduct a census rather than rely on sampling.

Overall, based on the given scenario, the most appropriate sampling technique would be Census Sampling, which involves collecting data from the entire population rather than selecting a sample.

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In conclusion  the number of adult and child tickets sold was 68, and the number of senior tickets sold was 25. The solution tells us that 68 adult and child tickets and 25 senior tickets were sold for the movie. The total amount collected was $1270.

How to solve?

Part A:

The system of equations that represents the situation is:

a + s = 93 (total number of tickets sold)

15a + 10s = 1270 (total amount collected in dollars)

Part B:

Using the substitution method, we can solve for one variable in terms of the other in the first equation and substitute it in the second equation, then solve for the remaining variable.

From the first equation, we get:

a = 93 - s

Substituting this in the second equation, we get:

15(93-s) + 10s = 1270

Simplifying the above equation, we get:

1395 - 5s = 1270

Subtracting 1395 from both sides, we get:

-5s = -125

Dividing both sides by -5, we get:

s = 25

Substituting s=25 in the equation a + s = 93, we get:

a + 25 = 93

Subtracting 25 from both sides, we get:

a = 68

Therefore, the number of adult and child tickets sold was 68, and the number of senior tickets sold was 25.

Part C:

To check our solution, we can substitute a=68 and s=25 in both equations and verify if they are true.

a + s = 93

68 + 25 = 93 (true)

15a + 10s = 1270

15(68) + 10(25) = 1270 (true)

Part D:

The solution tells us that 68 adult and child tickets and 25 senior tickets were sold for the movie. The total amount collected was $1270.

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The measure of arc BED is:

180 degrees

The arc of a circle is the segment or part of the circumference of a circle. The measure of an arc is the angle at which the arc is subtended.

You will notice that AD is the diameter of the circle.

Since the measure of arc CD is 90°.

Thus, the measure of arc AB is:

90 - 52 =  38°

Arc ED = arc AB (vertically opposite angles are equal)

Therefore, the measure of Arc BED will be:

Arc BED = Arc BC + arc CD + arc ED

Arc BED = 52° +  90° +  38°

Arc BED = 180°

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Congruent triangles have equal corresponding sides and angles.

The given parameters are:

\(\mathbf{\triangle D EF \cong \triangle GJH}\)

\(\mathbf{EF = 14m}\)

\(\mathbf{D E = 19m}\)

\(\mathbf{GH = 16m}\)

\(\mathbf{\angle D = 34^o}\)

\(\mathbf{\angle H = 105^o}\)

\(\mathbf{\triangle D EF \cong \triangle GJH}\) means that triangles DEF and GHJ are congruent triangles.

So, we have:

\(\mathbf{DF = GH}\)

This gives

\(\mathbf{DF = 16m}\)

Also, we have:

\(\mathbf{JH = EF}\)

This gives

\(\mathbf{JH = 14m}\)

Also, we have:

\(\mathbf{GJ = DE}\)

This gives

\(\mathbf{GJ = 19m}\)

The following angles are also congruent

\(\mathbf{\angle F = \angle H}\)

This gives

\(\mathbf{\angle F = 105^o}\)

Also, we have:

\(\mathbf{\angle G = \angle D}\)

This gives

\(\mathbf{\angle G = 34^o}\)

The measure of angle J is then calculated using

\(\mathbf{\angle J + \angle H + \angle G = 180^o}\)

This gives

\(\mathbf{\angle J + 105 + 34= 180^o}\)

\(\mathbf{\angle J + 139= 180^o}\)

Subtract 139 from both sides

\(\mathbf{\angle J = 41^o}\)

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The total cost will be $480.

What is an Equations?

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) symbol. It demonstrates how the expressions written on the left and right sides are equivalent. Equations can be solved to find the value of a variable that represents an unknown quantity. If there is no "equal to" symbol in a sentence, it is not an equation. It will be viewed as a phrase.

There should be two equations

For Plumber A = 60x

For Plumber B = 40 + 55x

Now in order to consider the cost to be the same we equate these two equations

60x = 40 + 55x

5x = 40

x = 8 hours

And, the total cost for plumber B is

= 40 + 55(8)

= 480

Hence, The total cost will be $480.

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Answer:

-5

Step-by-step explanation:

When answering these problems, I like to think of dirt stacks. (Weird, but it helps.)

Okay, so you have a stack of dirt one foot off the ground. Then you dig six feet down, including the stack.  Because the stack will be 5 feet into the ground now, the answer is -5.

Answer:

x = -4/3, 2/3

Step-by-step explanation:

Step 1: Factor

(3x + 4)(3x - 2) = 0

Step 2: Find roots

3x + 4 = 0

3x = -4

x = -4/3

3x - 2 = 0

3x = 2

x = 2/3

Answer:

x₁ = -4/3

x₂ = 2/3

Step-by-step explanation:

9x² + 6x - 8 = 0

9x² + 12x - 6x - 8 = 0

3xx(3x + 4) - 6x - 8 = 0

3xx(3x + 4) - 2(3x + 4) = 0

(3x + 4) × (3x - 2) = 0

3x + 4 = 0 → x = -4/3

3x - 2 = 0 → x = 2/3

Hope this helps! :)

Answer: y = -3/5x - 6

Step-by-step explanation:

There are a few equations that can be used for this, but the simplest one would be y = mx + b

We are given:

y = -3

m = -3/5 (slope)

x = -5

b = ?

Our equation is this, we are solving for b

==> -3 = -3/5 ( -5) + b

==> -3 = -3/5 ( -5) + b ( multiply the brackets)

==> -3 = 3 + b ( subtract 3 to both sides)

==> -6 = b

Now we can make the desired equation in slope intercept form;

y = -3/5x - 6

Hope this helped! Have a great day :D