700% of what number is 154?

Answers

Answer 1

Answer: 1,078

Step-by-step explanation:

Answer 2

The obtained number will be 22. As a result, 700% of x is 154.

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.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

Suppose the number is x,

700% of x is 154

Apply the multiplication arithmetic operation.

(700/100) × x =154

7x=154

Divide 7 from both sides in the equation,

x=154/7

x=22

Thus, the obtained number will be 22. As a result, 700% of x is 154.

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Related Questions

i am concerned about having my child play in the neighborhood park near my house because of the possible presence of highly aggressive children. i have drawn one random sample of 100 children from the neighborhood (n

Answers

This analysis is based on a sample of 100 number of children from the neighborhood, so the findings may not be representative of the entire population. It's important to interpret the results cautiously and consider conducting further research if needed.

To analyze the presence of highly aggressive children in the neighborhood, you can follow these steps:
1. Define aggression: It's important to have a clear understanding of what qualifies as highly aggressive behavior in children. Aggression can include physical aggression (e.g., hitting, pushing) or verbal aggression (e.g., name-calling, teasing).
2. Observe and document behavior: Use a behavior checklist to systematically observe the children in your sample. Note any instances of aggressive behavior and document them.
3. Analyze the data: Once you have observed and documented the behavior, you can analyze the data to determine the prevalence of highly aggressive children in the neighborhood. Calculate the percentage of children in your sample who exhibit highly aggressive behavior. For example, if 10 children in your sample exhibit highly aggressive behavior, the prevalence would be 10%.
4. Compare to norms: To put your findings into context, it can be helpful to compare the prevalence of highly aggressive children in your neighborhood to established norms. Look for research or studies that provide data on aggression rates in children. This can give you a sense of whether the prevalence in your neighborhood is higher or lower than average.
5. Communicate and take action: Once you have analyzed the data, it's important to communicate your findings with relevant stakeholders, such as other parents, community organizations, or local authorities. If the prevalence of highly aggressive children is a concern, you can discuss potential actions to address the issue, such as implementing programs to promote positive behavior or increasing adult supervision in the park.
Remember, this analysis is based on a sample of 100 children from the neighborhood, so the findings may not be representative of the entire this analysis is based on a sample of 100 children from the neighborhood, so the findings may not be representative of the entire population. It's important to interpret the results cautiously and consider conducting further research if needed.. It's important to interpret the results cautiously and consider conducting further research if needed.

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What value of C will make the following system a dependent system (one in which the lines coincides)15x +20y= -106x + 8y= c

Answers

ANSWER

C = -4

EXPLANATION

Given:

15x +20y= -10

6x + 8y= c

Thus we have:

a1 = 15x, b1 = 20y, c1 = -10

and

a2 = 6x, b2 = 8y, c2 = c

The condition now is:

\(\frac{a_1}{a_2}\text{ = }\frac{b_1}{b_2}\text{ = }\frac{c_1}{c_2}\)

i.e:

\(\frac{15x}{6x}=\frac{20y}{8y}\text{ = }\frac{-10}{c}\)

Determine c using the x

\(\begin{gathered} \frac{15x}{6x}=\frac{-10}{c} \\ \frac{5}{2}\text{ = }\frac{-10}{c} \\ 5c\text{ = -20} \\ c\text{ = -}\frac{20}{5} \\ c\text{ = -4} \end{gathered}\)

Determine c using the y

\(\begin{gathered} \frac{20y}{8y}\text{ = }\frac{-10}{c} \\ \frac{10}{4}\text{ = }\frac{-10}{c} \\ 10c\text{ = -40} \\ c\text{ = }\frac{-40}{10} \\ c\text{ = -4} \end{gathered}\)

Hence, the value of C that will make the systems a dependent system is -4.

The square and triangle shown below have the same perimeter. What is the perimeter of the triangle?

The square and triangle shown below have the same perimeter. What is the perimeter of the triangle?

Answers

Answer: 48

Step-by-step explanation:

The square and triangle shown below have the same perimeter. What is the perimeter of the triangle?

Translate this sentence into an equation.
Six more than the quotient of a number and 7 is equal to S
Use the variable c for the unknown number.

Answers

The sentence "six more than the quotient of a number and 7 equals 5" in an equation would be 6 + (c/7) = 5.

What is the quotient?

A quotient is defined as when dividing one number by another, the result is called the quotient.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given a variable c therefore, the translation of the given equation :

six more than can be expressed as 6+ or +6.

A quotient, commonly known as c/7, is the solution to a division issue and can also be a fraction.

and "equals 5" is clearly equal to 5 or =5, hence the result is 6 + (c/7) = 5.

The sentence "six more than the quotient of a number and 7 equals 5" in an equation would be 6 + (c/7) = 5.

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the lower limit for the standard deviation is 0, the upper limit is: _______

Answers

The lower limit for the standard deviation is always 0, while the upper limit depends on the data and its distribution.

The standard deviation is a measure of the spread or dispersion of a set of data. It is defined as the square root of the variance, which is the average of the squared differences between each data point and the mean of the data. Since the variance involves squaring the differences, it is always positive or zero. Therefore, the standard deviation cannot be negative and has a lower limit of 0.

The upper limit of the standard deviation depends on the data and its distribution. In general, the standard deviation cannot be greater than the range of the data, which is the difference between the maximum and minimum values. For example, if the range of the data is 10 and the standard deviation is 15, then there must be an error or some issue with the data.

However, in some cases, the standard deviation can be much larger than the range of the data. This can happen if the data is highly skewed or has outliers. Skewed data is when the distribution of the data is not symmetrical, and most of the data falls on one side of the mean. In this case, the standard deviation may be much larger than the range of the data, as it takes into account the extreme values.

Outliers are data points that are much larger or smaller than the rest of the data. They can have a significant effect on the standard deviation, as they increase the variability of the data. In some cases, outliers may be errors or anomalies that should be removed from the data set before calculating the standard deviation.

In summary, the lower limit of the standard deviation is always 0, while the upper limit depends on the data and its distribution. In general, the standard deviation cannot be greater than the range of the data, but it can be much larger if the data is highly skewed or has outliers. It is important to consider the context of the data and any potential issues before interpreting the standard deviation.

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the cost of 5 oranges and 3 apples is 43 rupees and the cost of 2 oranges and 4 apples is 34 rupees. find the cost of an orange and an apple

Answers

Answer: Orange = 5 rupee

Apple = 6 rupees

Step-by-step explanation:

Let the cost of an orange be x

Let the cost of an apple be y

We can form an equation from the question given which will be:

5x + 3y = 43 ......... i

2x + 4y = 34 ......... ii

Multiply equation i by 2

Multiply equation ii by 5

10x + 6y = 86 ........ iii

10x + 20y = 170 ..... iv

Subtract iii from iv

14y = 84

y = 84/14

y = 6

An apple cost 6 rupees

Since from equation ii

2x + 4y = 34

2x + 4(6) = 34

2x + 24 = 34

2x = 34 - 24

2x = 10

x = 10/2

x = 5

An orange cost 5 rupee

Which table of values represents exponential decay?​

Which table of values represents exponential decay?

Answers

The table of values that represents exponential decay is (c)

How to determine the table of values represents exponential decay?​

From the question, we have the following parameters that can be used in our computation:

The table of values

An exponential function is represented as

y = abˣ

Where

Rate = b

When the rate is less than 1, then the table represents a decay

i.e when y reduces as x increases

The table that has the above features is the table (c)

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Answer the following question\(( - \frac{2}{3} \sqrt{6} )(9 \sqrt{3} \)

Answers

The expression is given as,

\(\frac{-2}{3}\times\sqrt[]{6}\text{ }\times\text{ 9}\sqrt[]{3}\)

The given expression is simplified as follows:

\(\begin{gathered} =\frac{-2}{\sqrt{3}\times\sqrt[]{3}}\times\sqrt[]{3\text{ }}\text{ }\times\text{ }\sqrt[]{2}\text{ }\times\text{ 9 }\times\text{ }\sqrt[]{3} \\ =\text{ -2}\sqrt[]{2\text{ }}\text{ }\times\text{ 9} \\ =\text{ -18 }\sqrt[]{2} \end{gathered}\)

Thus the result of the given expression is,

\(\text{-18 }\sqrt[]{2}\)

Find the midpoint of the line segment with end coordinates of: ( − 1 , − 6 ) and ( 4 , 5 ) Give coordinates as decimals where appropriate.

Answers

Answer:

(1.5 , -0.5)

Step-by-step explanation:

formula:

x_midpoint=(x1+x2)/2

y_midpoint=(y1+y2)/2

y coordinate: (-1 +4)/2

x coordinate: (-6+5)/2

6. Suppose you draw at random the names of 5% of the registered voters separately from each county in a state. What type of sampling are you using

Answers

The type of sampling being used when 5% of the registered voters from each county in a state are drawn at random separately is a stratified sampling.

Stratified sampling is the type of probability sampling that is used when the population being sampled has different groups or strata with varying characteristics. A sample is then drawn from each group to make sure that each stratum or group is represented.The samples can be of equal sizes or can be proportionate to the size of the group. The idea behind stratified sampling is to increase the representativeness of the sample by reducing the variability of the data obtained from the sample.

The advantages of using stratified sampling are that it reduces the variability of the data obtained and ensures that every group or stratum is represented. It also makes it possible to identify any differences between the groups and analyze them independently of the others.In summary, when 5% of the registered voters from each county in a state are drawn at random separately, it is an example of a stratified sampling.

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Robert,Susan,and Todd are standing in a line. How many ways can they be arranged.

Answers

Answer:

They can be arranged 6 times

Step-by-step explanation:

Robert, Susan, Tod... Tod, Susan, Robert... Susan, Robert, Tod... Tod, Robert, Susan... Susan, Tod, Robert... Robert, Tod, Susan.

Does anybody know how to solve this problem, but using the work shown to help solve?

The value of y varies directly with x. When y=75, x= 0.5. What is the value of y when x is 2.25?

Even though I pulled up the work, I still don’t know what to do ‍♀️

Does anybody know how to solve this problem, but using the work shown to help solve?The value of y varies
Does anybody know how to solve this problem, but using the work shown to help solve?The value of y varies

Answers

Answer:

y=337.5 when x = 2 1/4

Step-by-step explanation:

Well first we want to know what's the function here

How do we get y to be 75 if x is .5?

75/.5 is 150

so can we say the function is 150x=y

Now lets plug

2 1/4 or 2.25 for x

2.25*150 = 337.5

y=337.5 when x = 2 1/4

Hope that helps!

Rania is playing with her friend Arun, and they are setting dominoes across the room. Each domino is 2 inches long. They have already placed 10 dominoes in a row. The room is 10 feet long and they want to know how many more dominoes they can set up before they reach all the way across the room. Does the inequality 2d + 20 < 120 model this situation? Explain why or why not.​

Answers

May you please take a Pic of the question

Step-by-step explanation:

Thank you

Evaluate the following integral using integration by parts. 4 sin-1 4 sin - ¹2x dx [4 sin -¹2x dx =

Answers

The complete solution is:

∫4\(sin^{-1}(2x) dx = sin^{-1}(2x)\) x 4x + √(1 - (2x)²) + C, where C is the constant of integration.

We have,

\(u = sin^{-1)}(2x)\)

dv = 4 dx

Taking the derivative of u, we get:

du/dx = 1 / √(1 - (2x)²)

Integrating dv, we get:

v = ∫4 dx = 4x

Now, applying the integration by parts formula:

∫4 \(sin^{-1}(2x) dx\) = uv - ∫vdu

Plugging in the values, we have:

∫4 \(sin^{-})(2x) dx = sin^{-1}(2x) \times\) 4x - ∫(4x / √(1 - (2x)²)) dx

At this point, we need to evaluate the integral on the right side.

Let's perform a substitution to simplify it:

Let u = 1 - (2x)²

Differentiating u with respect to x, we get:

du/dx = -4(2x) = -8x

Solving for dx, we have:

dx = -du / (8x)

Substituting these values, the integral becomes:

∫(4x / √(1 - (2x)²)) dx = ∫(-4x / (8x x √u)) (-du / (8x))

Simplifying, we get:

∫(4x / √(1 - (2x)²)) dx = ∫(-1 / (2√u)) du

= -∫(1 / (2√u)) du

= -√u + C

Substituting back the value of u, we have:

∫(4x / √(1 - (2x)²)) dx = -√(1 - (2x)²) + C

Therefore,

The complete solution is:

∫4\(sin^{-1}(2x) dx = sin^{-1}(2x)\) x 4x + √(1 - (2x)²) + C, where C is the constant of integration.

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The complete question:

a) Evaluate the integral ∫4 sin^(-1)(2x) dx using integration by parts.

The mean of four numbers is 7. Three of the numbers are 5, 7, and 7. What is the fourth number? Explain your reasoning.

Answers

Answer:

9

Step-by-step explanation:

The mean is equal to the sum of all numbers divided by the amount of numbers there are. If we represent the mean as m, sum as s, and number of numbers as n, we can write our equation as

m = s/n

Therefore, as we know the mean (7) and number of numbers (4), we can plug those in to find the sum.

7 = s / 4

Multiply both sides by 4

28 = s

We then have our sum. Because we know 3 numbers, and there are 4 total, there is one number left to figure out. Our current sum is 5+7+7 = 19, and we need a sum of 28. The difference between the sums, equivalent to the fourth number, is 28-19=9.

Can a function be differentiable but not continuous.

Answers

Answer:

We see that if a function is differentiable at a point, then it must be continuous at that point. There are connections between continuity and differentiability. If is not continuous at , then is not differentiable at . Thus from the theorem above, we see that all differentiable functions on are continuous on

Step-by-step explanation:


List 3 common sources of errors in Gram staining technique and the
expected staining results of each error in both Gram-postive and
Gram-negative bacteria and how to troubleshoot the listed error

pro

Answers

Three common sources of errors in the Gram staining technique include improper fixation, over-decolourization, and under-decolourization. Improper fixation can lead to poor adherence of the bacterial cells to the slide, resulting in uneven staining.

Over-decolourization can cause both Gram-positive and Gram-negative bacteria to appear as Gram-negative, leading to false results. Under-decolourization, on the other hand, can cause both types of bacteria to appear as Gram-positive, also leading to incorrect results.

To troubleshoot improper fixation, it is important to ensure that the bacterial cells are properly heat-fixed onto the slide. This can be done by passing the slide through a flame a few times or using a hot plate. Additionally, using fresh bacterial cultures and avoiding overcrowding of cells on the slide can help improve fixation.

To address over-decolourization, the decolourization step should be carefully timed. If the cells are being decolourized for too long, it can remove the crystal violet stain from both Gram-positive and Gram-negative bacteria, leading to false-negative results. Adjusting the decolourization time or using a weaker decolorizing agent can help prevent over-decolourization.

Under-decolourization can be trouble shooted by increasing the decolourization time. If the cells are not decolourized enough, the safranin counterstain will not effectively stain the Gram-negative bacteria, causing them to appear as Gram-positive. Increasing the decolourization time or using a stronger decolorizing agent can help improve the decolourization step.

In summary, the common errors in the Gram staining technique include improper fixation, over-decolourization, and under-decolourization. Improving fixation, adjusting decolourization time, and ensuring proper decolourization can help troubleshoot these errors and obtain accurate staining results for both Gram-positive and Gram-negative bacteria.

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Can somebody help me with this question will mark brainliest.

Can somebody help me with this question will mark brainliest.

Answers

Answer: 9/12

Step-by-step explanation:

the anwser is 9/12 i believe

Question 1 (1 point)
Saved
What is a remote worker?

Question 1 options:

a traditional worker who works from an office every day


a worker who only comes in part time


someone who is self-employed


a worker who works for the company from home or somewhere else

Question 2 (1 point)
Saved
What does career advancement mean?

Question 2 options:

Trying out different jobs that are unrelated.


Staying in one cluster and getting a job with more responsibility.


Staying with the same job because you like it.


Going to college to get a degree for your career.

Question 3 (1 point)
Saved
What is an example of a traditional career?

Question 3 options:

small business owner


freelance writer


teacher


seasonal worker

Question 4 (1 point)
Saved
Gary wants to open a ski resort. He lives in Miami, Florida, near the beach. Gary will have to move to follow his chosen career path.

Question 4 options:

True


False

Question 5 (1 point)
Saved
What is a term that describes an area of work?

Question 5 options:

job


region


career


field

Question 6 (1 point)
Saved
Cameron wants to be an x-ray technician. He checks out the area that he lives in and finds that there are three hospital systems close to him. What does this tell Cameron?

Question 6 options:

There are already too many x-ray technicians in the area.


There are plenty of jobs for x-ray technicians in the area.


There is not a need for x-ray technicians in that job market.


Cameron will have to move to another job market to find a position.

Question 7 (1 point)
Saved
What position would be the lowest paid in a technology company?

Question 7 options:

customer service representative


shift supervisor


sales manager


CEO

Question 8 (1 point)
Saved
If we keep on a career pathway, what are we doing?

Question 8 options:

playing it safe


following directions


working toward a goal


changing our mind

Question 9 (1 point)
If Ella decided to become a children's doctor, what career cluster would she belong in?

Question 9 options:

Education and Training


Business Management and Administration


Law, Public Safety, and Security


Health Sciences

Question 10 (1 point)
Lars is a medical coder. He works for a hospital in Wisconsin but currently lives in Georgia. Lars does his work online and over conference calls. Lars is an example of a remote worker.

Question 10 options:

True


False

Question 11 (1 point)
Tim's manager has asked him to outsource several customer service jobs at the company where he works. Where will Tim find these outsourced people to fill the customer service positions?

Question 11 options:

from other countries


within the company where Tim works


at the competing company across the street


in his friends and family circle

Question 12 (1 point)
Khalil is working toward a career in government service. What job would be in the field that Kahlil is interested in?

Question 12 options:

sous chef for a catering business


student teaching in middle school


organizer for the parks department


HVAC repairman

Question 13 (1 point)
Which is true of an entrepreneur?

Question 13 options:

They work for someone else.


They work for themselves.


They work for a big company.


They do not hold a job.

Question 14 (1 point)
If Shawna is busy pursuing a career in medicine, what would be an example of a good opportunity for her?

Question 14 options:

enrolling in spinning classes at the local gym


taking classes on how medical drugs interact with one another


pursuing an internship at the local radio station


joining a summer arts program

Question 15 (1 point)
When a company in the United States employs people in India to answer their customer service calls, this is an example of:

Question 15 options:

traditional careers.


outsourcing.


entrepreneurship.


non-traditional careers.

Answers

Answer:

1. a worker who works for the company from home or somewhere else

2. Going to college to get a degree for your career.

3. teacher

4. False

5. job/occupation

6. There are plenty of jobs for x-ray technicians in the area.

7. shift supervisor (Not 100% sure)

8. working toward a goal

9. Health Sciences

10. True

11. at the competing company across the street (not sure like 30%)

12. student teaching in middle school

13. They work for someone else.

14. taking classes on how medical drugs interact with one another

15. outsourcing.

Step-by-step explanation:

a random sample of students at a large university revealed that, of those who responded, 73% have part-time jobs, 65% participate in at least one school-sponsored activity, and 42% work part-time and participate in at least one school-sponsored activity. suppose we select a student at random. given that the student works part-time, what is the probability that the person participates in at least one school-sponsored activity? p(a|b)

Answers

The probability that the person participates in at least one school-sponsored activity given that the student works part-time is 0.58.

What is Conditional Probability?

The possibility of an event or outcome occurring based on the existence of a prior event or outcome is known as conditional probability.

Assume that events A and B are two independent occurrences with probabilities P(A) and P(B), respectively, such that the probability that event B will occur given that event A is given by: P(B|A) = P(A∩B)/P (A)

Given:

Percentage of the students who have part-time jobs, P(A) = 73%

Percentage of the students who participate in at least one school-sponsored activity, P(B)= 65%

Percentage of the students who work part-time and participate in at least one school-sponsored activity, P(A∩B) = 42%

The probability that the person participates in at least one school-sponsored activity given that the student works part-time is:

P(B|A) = P(A∩B)/P(A)

          = 42/73

          = 0.58

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Answer:

0.575

Step-by-step explanation:

nice job

The amount of unexplained variance in a relationship between two variables is called?

Answers

Answer:

The amount of unexplained variance in a relationship between two variables is called: coefficient of alienation also called coefficient of nondetermination. A positive correlation between two variables would be represented in a scatterplot as. line sloping upwards. .

Step-by-step explanation:

A decorative hat is shaped like a cone. The hat has a 7 inch diameter and an 8 inch height.

Answers

Step-by-step explanation:

the answer to this question is 410.29

sorry if this is wrong

HelpppppPpapPPapPapp

HelpppppPpapPPapPapp

Answers

Step-by-step explanation:

we have two lines you have to draw.

one is all in the bottom left quadrant (for x<=0) and one in the upper right quadrant (for x>5).

the easiest is for x>5. the line function is only

f(x) = y = 3

so, this is a horizontal line on the grid line for y = 3. it starts above x=5 and then goes all the way to the right ("to infinity and beyond !"). just, if possible, mark the starting point at x=5 as a little empty "circle" instead of a full dot, as x=5 is explicitly excluded (due to x>5).

and for x<=0 the line

f(x) = y = 4x - 3

goes sharp down but goes a little bit to the left the further down it goes. it starts with x=0, which gives y=-3 per the function.

so, the starting point (with a full dot, as x=0 is included) is (0,-3).

from there it goes sharp down and a little bit to the left.

for example the next point is for x=-1, which gives y=-7, so it is the point (-1,-7). x=-2 gives y=-11 and the point (-2,-11).

the line has to go through so these points and further down (again, "to infinity and beyond !"), as to move further left on the negative x-axis.

the variability believed to be in the population, the acceptable margin of sample error, and the level of confidence required in your estimates of the population values describe the basic elements required to calculate the proper sample size for a survey. true false

Answers

The statement mentioned in the question is True.

The sample size of a survey is determined by the variability believed to be in the population, the acceptable margin of sample error, and the level of confidence required in estimates of the population values. These elements are important considerations when designing a survey because they help to ensure that the results of the survey are reliable and accurately reflect the characteristics of the population being studied.

To calculate the proper sample size for a survey, you need to first determine the size of the population being studied and the level of precision you want to achieve in your estimates. You also need to consider the level of confidence you want to have in your estimates and the acceptable margin of error for your survey. Once you have all of this information, you can use a sample size calculator or a statistical formula to determine the appropriate sample size for your survey.

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Solve and graph the linear equation below.

x + 4y = 8

I just want to double check if I’m correct, I believe the slope would be (8,0) & (-2,0)

Thanks.

Answers

20. Bc when u solve, you should get x +47=8

The mailman delivers 4 checks for $10 each and 3 bills for $7 each. If you had a starting balance of $80, what is the ending balance?

Answers

The value of the calculated ending balance would be $141.


Calculating the value of the ending balance?

From the question, we have the following parameters that can be used in our computation:

Starting balance = $80

Checks = 4 at $10 each

Bills = 3 at $7 each

Using the above as a guide, we have the following:

Ending balance = 80 + 4 * 10 + 3 * 7

Evaluate

Ending balance = 141

Hence, the value of the ending balance is $141

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hii please help i’ll give brainliest

hii please help ill give brainliest

Answers

Answer:

1. 8

2. 25

3. 3

Step-by-step explanation:

Using suitable identity, find the value of 87^3+ 13^3/
87^2 −87 ×13 + 13^2

Answers

The value of the given expression [\(87^3+ 13^3/87^2 -87 * 13 + 13^2\)] by simplifying the numerator and denominator using suitable identities is 100.

We will first calculate the numerator:

As  (\(a^3\) + \(b^3\)) = (a + b)(\(a^2\) - ab + \(b^2\)) :

\(87^3\) + \(13^3\) = (87 + 13)(\(87^2\) - \(87 * 13\) + \(13^2\))

= 100(\(87^2\) - 87 * 13 + \(13^2\))

Now, calculate the denominator:

\(87^2 - 87 * 13 + 13^2\)

As,(\(a^2 -2ab +b^2\)) =\((a - b)^2\):

\(87^2 - 87 * 13 + 13^2 = (87 - 13)^2\)

\(= 74^2\)

So by solving the equation further:

\((87^3+13^3) / (87^2- 87 * 13+13^2) = 100*(87^2- 87 *13 + 13^2)/(87^2 - 87 * 13 + 13^2)\)

As we can see the numerator and denominator are the same expressions (\(87^2 - 87 * 13 + 13^2\)). so, they cancel each other:

\((87^3 + 13^3) / (87^2 - 87 * 13 + 13^2) = 100\)

So, the value of the given expression is 100.

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The smallest whole number thar satisfies the inequality 3x-1>2 is
A. 1
B. 2
C. 3
D. O

Answers

The smallest whole number that satisfies the inequality 3x-1>2 is option B. 2.

What is termed as the whole number?Whole numbers are all of the basic measuring numbers plus 0. Natural numbers are counting numbers in mathematics. As a result, the whole number can be defined as a collection of any and all natural numbers and 0. Whole numbers have included positive integers as well as zero.Whole Numbers are indeed the natural numbers plus the number 0. In mathematics, the set of whole numbers is represented by the symbol W and is given as 0, 1, 2, 3,...

For the given question;

The inequality is given as;

3x-1>2

Solve the inequality to get the value of x.

Add 1 on both side.

3x - 1 + 1 > 2 + 1

3x > 3

Divide both side by 3.

x > 1

Thus, the number must be greater than 1 and the smallest which is 2.

Therefore, the smallest whole number that satisfies the inequality is 2.

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for the list {12, 15, 13, 20, 23, 27, 25, 36, 40}, how many elements will be compared to find 25 using linear search? question 6 options: 6 2 7 3

Answers

The number of elements that will be compared is 7 before finding 25 using linear search for the given list {12, 15, 13, 20, 23, 27, 25, 36, 40}. Therefore, the correct option among the given alternatives is 7.

To find 25 using linear search, we have to compare each element of the list one by one with 25, starting from the first element of the list until we find the target element or reach the end of the list.

So the number of elements that will be compared is 7 before finding 25 using linear search for the given list {12, 15, 13, 20, 23, 27, 25, 36, 40}. Therefore, the correct option among the given alternatives is 7.

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