the survey is a research method in which: group of answer choices individuals are carefully observed in their natural environments. a representative, random sample of individuals are questioned regarding their attitudes or behaviors. an individual is studied in great depth. an investigator determines the extent to which two variables influence each other.

Answers

Answer 1

The correct answer is A representative, random sample of individuals are questioned regarding their attitudes or behaviours. (Option B)
A) "Individuals are carefully observed in their natural environments" is a description of participant observation, which is a type of qualitative research method. In this method, researchers observe and interact with individuals in their natural environments in order to understand their behaviours and attitudes in context. This method is often used in fields such as anthropology, sociology, and psychology.

B) "A representative, random sample of individuals are questioned regarding their attitudes or behaviours" describes a survey, which is a quantitative research method. Surveys are used to gather information from a representative sample of individuals in order to make inferences about a larger population. Surveys can be conducted in various ways, such as through phone calls, mail or online and can be used to study the attitudes, behaviours, and characteristics of a population.

C) "An individual is studied in great depth" is a description of a case study, which is a qualitative research method. In this method, a researcher closely examines an individual or a small group of individuals in order to gain a detailed understanding of their experiences, behaviours, and attitudes. Case studies are often used in fields such as psychology, sociology, and anthropology.

D) "An investigator determines the extent to which two variables influence each other" is a description of a correlation study, which is a quantitative research method. In this method, the researcher examines the relationship between two or more variables. The researcher measures the values of the variables for a sample of individuals, and then uses statistical methods to determine the degree of association between the variables, and if there is a causal relationship or not.

Thus, The correct answer is A representative, random sample of individuals are questioned regarding their attitudes or behaviours. (Option B)

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Related Questions

consider the fahrenheit thermometer. what does zero mean in this context​

Answers

minuscule temperature. There are a number of tales of how he initially created his scale, but the original publication states that the lower Fahrenheit  defining point, 0 °F, was set as the freezing temperature of a brine solution made from a combination of water, ice, and ammonium chloride (a salt).

How do Fahrenheit and Celsius compare?

Thus, the difference between Celsius and Fahrenheit is 1.8 times. In other words, 1 degree Fahrenheit is equivalent to 5/9 degree Celsius. These two temperature scales overlap at -40 degrees, which means that -40 degrees Fahrenheit is equivalent to -40 degrees Celsius despite their quite significant discrepancies.

How hot or chilly is Celsius?

°C) is a different unit of measurement for temperature. Except for the United States, most nations use Celsius as their unit of measurement. 0 degrees Celsius is really chilly. 40 degrees is a scorching temperature!

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A school is arranging chairs in rows for an assembly. $11$ chairs make a complete row, and right now there are $110$ chairs total. The school wants to have as few empty seats as possible, but all rows of chairs must be complete. If $70$ students will attend the assembly, how many chairs should be removed?

Answers

The number of chairs that should be removed, for there to be as few empty seats as possible but for all rows of chairs to be complete, is 33 chairs.

How to find the chairs to be removed ?

The number of chairs that make up a row is 11 chairs and there are to be 70 students in attendance. The number of rows that would take the students is therefore:

= Number of students / Number of rows

= 70 / 11

= 6. 36

= 7 rows rounded up

The number of rows needed is 7 rows which means the number of chairs would be:

= 7 rows x 11 chairs per row

= 77 chairs

The number of chairs to be removed is:

= Total chairs - Chairs needed

= 110 - 77

= 33 chairs

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In a jar, the ratio of dimes to nickels is 3.4. Given that there are 60 nickels in the jar, how many more nickels are in the jar than dimes?.

Answers

Answer:

15

Step-by-step explanation:

the nickels ratio is 4. I then divided 60 : 4 = 15. I then timesed 15 with 3 and then came out 45. I then subtracted 60 with 45 which gave me the answer of 15.

Name a pair of vertical angles and a pair of adjacent angles in each figure.

Answers

On solving the provided question we cans ay thatVertical Angles: TZU, XZW Adjacent Angles: TZU, UZV are Vertical angle and adjacent angle.

What is Vertical angle and adjacent angle,?

Vertical angles are two angles that share the same vertex and are formed by two intersecting lines. They are congruent (i.e. have the same measure) and are opposite each other

Adjacent angles are two angles that share a common vertex and side, but do not overlap. They are also called "next to" or "sharing an arm" angles.

Fig 1:

Vertical Angles: NMJ, LMK

Adjacent Angles: NMJ, JMK

Fig 2:

Vertical Angles: DEA, CEB

Adjacent Angles: DEA, AEB

Fig 3:

Vertical Angles: LQM, PQN

Adjacent Angles: LQM, MQN

Fig 4:

Vertical Angles: TZU, XZW

Adjacent Angles: TZU, UZV

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Evaluate the gradient of f(x, y, z) = log(x2 + y2 + z2) at (1, 0, 1)

Answers

The gradient of f(x, y, z) = log(x2 + y2 + z2) at (1, 0, 1) is (2/1, 0, 2/1)

This gradient is a vector that points in the direction of the greatest rate of increase of the function f(x, y, z) = log(x2 + y2 + z2). To evaluate this gradient, the partial derivatives of the function with respect to x, y, and z must be calculated.

The partial derivative of the function with respect to x is (2x / (x2 + y2 + z2)). When x is 1, this simplifies to 2/1. Similarly, the partial derivative with respect to y is 0, and the partial derivative with respect to z is (2z / (x2 + y2 + z2)), which simplifies to 2/1 when z is 1. Therefore, the gradient of f(x, y, z) = log(x2 + y2 + z2) at (1, 0, 1) is (2/1, 0, 2/1).

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Given that startfraction a b over d e endfraction = startfraction b c over e f endfraction = one-half, complete the statements to show that △abc ~ △def by the sas similarity theorem. horizontal and vertical lines are . so, angles are right angles by definition of perpendicular lines. all right angles are . therefore, △abc ~ △def by the sas similarity theorem.

Answers

Lines running horizontally and vertically are parallel. So, angles A, B, and C are right angles by definition of perpendicular lines. All right angles are equal. Therefore, △ABC ~ △DEF by the SAS similarity theorem.

Given that startfraction a b over d e endfraction = startfraction b c over e f endfraction = one-half

Step 1: Multiply both sides of the equation by de:

a/b * de = bc/ef * de

Step 2: Simplify the left side of the equation:

ade = bcde

Step 3: Divide both sides of the equation by ad:

a/d = b/e

Step 4: Multiply both sides of the equation by be:

ab/d = be/e

Step 5: Simplify the left side of the equation:

ab = be

Step 6: Divide both sides of the equation by be:

a/b = 1/e

Step 7: Multiply both sides of the equation by ef:

a/b * ef = 1/e * ef

Step 8: Simplify the left side of the equation:

aef = ef

Step 9: Divide both sides of the equation by ef:

a/b = 1/e

Conclusion: startfraction a b over d e endfraction = startfraction b c over e f endfraction = one-half

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Answer:

perpendicular

b and e

congruent

what is an equation of the line that passes through the point (8,-7) and is parallel to the line 5x+4y=16

Answers

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]5x+4y=16\implies 4y=-5x+16\implies y=\cfrac{-5x+16}{4} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{5}{4}}x+4\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so we're really looking for the equation of a line whose slope is -5/4 and it passes through (8 , -7)

[tex](\stackrel{x_1}{8}~,~\stackrel{y_1}{-7})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{5}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{- \cfrac{5}{4}}(x-\stackrel{x_1}{8}) \implies y +7= -\cfrac{5}{4} (x -8) \\\\\\ y+7=-\cfrac{5}{4}x+10\implies {\Large \begin{array}{llll} y=-\cfrac{5}{4}x+3 \end{array}}[/tex]

What is the best sequence of names to
identify the elements of this set of
numbers?
(0.67,3-√4,√8,0.14)

1) real, rational, irrational, irrational,
irrational
2) rational, real, integer, irrational,
irrational
3) rational, rational, real, real,
irrational
4) rational, rational, integer, irrational,
rational

Answers

On solving the provided question, we can say that - sequence (0.67,3-√4,√8,0.14) are the  rational, real, integer, irrational, irrational.

what is a sequence?

A sequence is a collection of numerals (referred to as "terms"), for example, 2, 5, 8. A specific pattern that some sequences follow may be leveraged to make them infinitely long. To continue the series, add 3 and use the example of 2,5,8. Formulas that show where to look for words inside a sequence can be found there. Informally, a sequence in mathematics is a collection of items that are in some order (or events). It has components, much like a set (also called elements or terms). The length of the sequence refers to the total, potentially unlimited number of ordered items. arranging two or more objects in a logical sequence. Chronological.

here,

the given sequence is (0.67,3-√4,√8,0.14)

as we can see that in the sequence we have a rational number, integer, real number and a irrational so,

the answer is  rational, real, integer, irrational, irrational.

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Bilquis finds some nickels and quarters in her piggy bank. How much money (in
cents) does she have if she has 7 nickels and 5 quarters? How much money
does she have if she has n nickels and q quarters?

Answers

Answer:Bilquis finds some nickels and quarters in her piggy bank. How much money (in

cents) does she have if she has 7 nickels and 5 quarters? How much money

does she have if she has n nickels and q quarters?

Step-by-step explanation:

Answer: 157 cents ($1.57)

Step-by-step explanation: Nickels are worth 5 cents each, so 5 cents times 7 nickels equals a total of 35 cents. After that, we have 5 quarters which cost 25 cents each, so 25 cents times 5 quarters equals a total of 125 cents. Combine these two products, and you get 157 cents. Or, if you want it in dollars, you can divide 157 by 100 cents (there are 100 cents in a dollar) and end up with $1,57.

Simplify: [tex]\frac{-28cd^3}{-21bd^2}[/tex]

Answers

The answer is 4cd/3b

hope it's correct

12x - 2/3 = 83 1/3
Can you please help me solve to find X?

Answers

let's firstly convert the mixed fraction to an improper fraction, and then let's multiply both sides by the LCD of all denominators

[tex]\stackrel{mixed}{83\frac{1}{3}}\implies \cfrac{83\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{250}{3}} \\\\[-0.35em] ~\dotfill\\\\ 12x-\cfrac{2}{3}=\cfrac{250}{3}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3\left( 12x-\cfrac{2}{3} \right)=3\left( \cfrac{250}{3} \right)}\implies 36x-2=250 \\\\\\ 36x=252\implies x=\cfrac{252}{36}\implies x=7[/tex]

When a=-1/2 and b=6, which expression:

has the largest value?

has the smallest value?

is the closest to zero?

When a=12 and b=-6, which expression:

has the largest value?

has the smallest value?

is the closest to zero?

When a=-6 and b=-12, which expression:

has the largest value?

has the smallest value?

is the closest to zero?

Answers

For an expression containing two variables, a and b, the expression with the largest value is a+b, the expression with the smallest value is a-b, and the expression closest to zero is either a+b or a-b, depending on the values of a and b.

For a=-1/2 and b=6, the expression with the largest value is a+b, which is equal to 5.5. The expression with the smallest value is a-b, which is equal to -7.5. The expression closest to zero is a+b, which is equal to 5.5.

For a=12 and b=-6, the expression with the largest value is a+b, which is equal to 6. The expression with the smallest value is a-b, which is equal to 18. The expression closest to zero is a-b, which is equal to 18.

For a=-6 and b=-12, the expression with the largest value is a+b, which is equal to -18. The expression with the smallest value is a-b, which is equal to 6. The expression closest to zero is a+b, which is equal to -18.

For an expression containing two variables, a and b, the expression with the largest value is a+b, the expression with the smallest value is a-b, and the expression closest to zero is either a+b or a-b, depending on the values of a and b.

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What is y 0 on a graph?

Answers

y=0 is the linear equation to denote the x - axis, as all the points on the x- axis, have their y co-ordinate =0.

What is linear equation ?

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

Because the equation y=0 has a slope of 0, the resulting graph must be a straight horizontal line. This is true for all equations with a slope of 0.

Hence , y=0 is the linear equation to denote the x - axis, as all the points on the x- axis, have their y co-ordinate =0.

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Adam is trying to spot a meteor. The probability he will see one in the next 10 minutes is 0.56.
What are the odds in favor of Adam seeing a meteor in the next 10 minutes?

Answers

Answer: The odds in favor of an event happening are the ratio of the probability of the event happening to the probability of the event not happening. To find the odds in favor of an event, you can use the formula:

Odds in favor = probability of event occurring / (1 - probability of event occurring)

In this case, the event is that Adam will see a meteor in the next 10 minutes. The probability that this event will occur is 0.56. Therefore, the odds in favor of this event occurring are:

Odds in favor = 0.56 / (1 - 0.56)

= 0.56 / 0.44

= 1.27

So, the odds in favor of Adam seeing a meteor in the next 10 minutes are 1.27 to 1.

It means that Adam is 1.27 times more likely to see a meteor in the next 10 minutes than not seeing one.

Step-by-step explanation:

The odds in favor of Adam seeing a meteor in the next 10 minutes are 14 : 11

What is the difference between an undecidable problem and an intractable problem?

Answers

Therefore , the solution of the given problem of tractable problem comes out to be Undecidable troubles are those for which there will never be a computer solution.

What does a tractable problem actually mean?

a technique that completes a manageable task in a polynomial period of time. Utilizing the polynomial upper bound is advantageous. A problem is said to be intractable if it cannot be solved in a polynomial amount of time. The bound has a minimum that is exponential.

Here,

Intractable problems would be those in which there is significant proof that, while they can be solved by a desktop, they cannot be solved quickly enough to be actually useful in practice.

Undecidable troubles are those for which there will never be a computer solution, whereas undecidable difficulties are those for which there will never be a computer solution.

Therefore , the solution of the given problem of tractable problem comes out to be Undecidable troubles are those for which there will never be a computer solution.

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The perimeter of a rectangle is 84cm and it's length is 6cm longer than it's breadth. Find the length and breadth of the rectangle

Answers

Answer:

Step-by-step explanation:

The perimeter of a rectangle is the sum of all its sides. Since the perimeter is given as 84 cm, we can set up the following equation to represent the problem:

2l + 2b = 84

Where l is the length of the rectangle and b is the breadth.

We are also told that the length is 6 cm longer than the breadth. We can represent this relationship with the equation:

l = b + 6

Substituting the second equation into the first equation, we get:

2(b + 6) + 2b = 84

Expanding the left side of the equation gives:

2b + 12 + 2b = 84

Combining as terms gives:

4b + 12 = 84

Subtracting 12 from both sides gives:

4b = 72

Dividing both sides by 4 gives:

b = 18

Substituting this value back into the equation l = b + 6 gives us:

l = 18 + 6

l = 24

Therefore, the length of the rectangle is 24 cm and the breadth is 18 cm.

How do you graph the equation y = 1x / 2 + (-5)

Answers

To graph the equation y = 1x / 2 + (-5), you will need to plot several points that satisfy the equation and then connect them with a line.

To do this, you can pick a few values of x, substitute them into the equation to find the corresponding values of y, and then plot these points on the coordinate plane.

For example, if you choose x = -2, the corresponding value of y is (-2) * (1 / 2) + (-5) = -5.5. If you choose x = 0, the corresponding value of y is (0) * (1 / 2) + (-5) = -5. And if you choose x = 2, the corresponding value of y is (2) * (1 / 2) + (-5) = -4.

You can then plot these points on the coordinate plane and connect them with a line to graph the equation.

Im really sorry that I was unable to provide a picture.  I hope this helped!

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope:

1/2

y-intercept: (0,−5)

x   y

0 −5

2 −4

Step-by-step explanation:

Use the parabola tool to graph the quadratic function f(x)=-5x2-2

Answers

Answer:

To graph the quadratic function f(x) = -5x^2 - 2, we can use the parabola tool.

First, let's plot the vertex of the parabola. The vertex is the highest or lowest point on the graph of a parabola, and it is located at the point (h, k), where h is the value of the x-coordinate and k is the value of the y-coordinate.

For the quadratic function f(x) = -5x^2 - 2, the vertex is located at the point (0, -2).

Next, we can use the parabola tool to draw the graph of the quadratic function. To do this, we need to set the value of a, b, and c in the equation y = a(x - h)^2 + k. For the quadratic function f(x) = -5x^2 - 2, the values of a, b, and c are -5, 0, and -2, respectively.

Therefore, the equation of the graph of the quadratic function f(x) = -5x^2 - 2 is y = -5(x - 0)^2 - 2.

Using the parabola tool, we can draw the graph of the quadratic function by plotting several points on the graph and connecting them with a smooth curve.

The graph of the quadratic function f(x) = -5x^2 - 2 is a downward-facing parabola with its vertex at the point (0, -2). The graph opens downward because the value of a is negative. The parabola is symmetrical about the y-axis because the value of h is 0. The graph passes through the y-intercept (0, -2) because the value of k is -2.

Step-by-step explanation:

A high school statistics class wants to conduct a survey to determine what percentage of students in the school would be willing to pay a fee for participating in after-school activities. Twenty students are randomly selected from each of the freshman. sophomore. junior, and senior classes to complete the survey. This plan is an example of which type of sampling ? a. Cluster
b. Convenience c. Simple random d. Stratified random e. Systematic

Answers

A high school statistics class wants to conduct a survey to determine what percentage of students in the school would be willing to pay a fee for participating in after-school activities. Twenty students are randomly selected from each of the freshman. sophomore. junior, and senior classes to complete the survey.  This plan is an example of Stratified random  type of sampling .

What does "stratified random sampling" mean?

A population is divided into smaller subgroups known as strata as part of a sampling technique called stratified random sampling.

           During stratified random sampling, also known as stratification, groups of people are divided into groups based on shared traits or characteristics, such as level of education or income.

What is a good illustration of a stratified sampling technique?

A stratified sample is one that guarantees that the various strata (subgroups) of a given population are fairly represented in the sample population as a whole.

                                   One could, for instance, divide a sample of persons into age-related subgroups, such as 18–29, 30-39, 40–49, 50–59, and 60 and above.

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Factor the quadratic expression
4a²+27a+18

Answers

The factors of given quadratic expression are (4a+3) and (a+6).

What are factors of polynomial?

The factors are the polynomials which are multiplied to produce the original polynomial.

The given quadratic expression is 4a²+27a+18.

By splitting middle term method, we get

4a²+3a+24a+18

= a(4a+3)+6(4a+3)

= (4a+3)(a+6)

Therefore, the factors of given quadratic expression are (4a+3) and (a+6).

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What is the solution of 2x^2 5x 3 0?

Answers

The Given quadratic equation has two solutions: 1 and 3/2. A quadratic problem was solved by utilizing the factoring method.

A quadratic equation is defined.

At least one squared term must be present because a quadratic is a second-degree polynomial equation. It is also known as quadratic equations. ax^2 + b*x + c = 0 is the quadratic equation's general form.

where x is the unknown variable and a, b, and c are constant terms.

In this case, I'm solving a quadratic problem by factoring.

The following quadratic equation is

2x^2 - 5x + 3 = 0.

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

2x^2 -3x -2x + 3 = 0.

x(2x-3) -1(2x -3) = 0.

(2x-3)(x-1) = 0.

2x - 3 =0 or x -1 =0

x = 3/2 or x =1

So the solutions of a quadratic equation are 3/2 and 1.

Given Question is incomplete complete question here:

What are the solutions of the quadratic equation 2x^2-5x+3 =  0?

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How can you tell if a graph is linear or logarithmic?

Answers

A linear graph will have a straight line, whereas a logarithmic graph will have a curved line.

1. Look at the graph and identify the shape of the line.

2. If the line is straight, then the graph is linear.

3. If the line is curved, then the graph is logarithmic.

When looking at a graph, you can tell if it is linear or logarithmic by examining the shape of the line. A linear graph will have a straight line, whereas a logarithmic graph will have a curved line. This is due to the fact that a linear graph is plotted by plotting the points of a linear equation, whereas a logarithmic graph is plotted by plotting the points of a logarithmic equation. The linear equation is of the form y = mx + b, where m is the slope of the line and b is the y-intercept. The logarithmic equation is of the form y = logb(x), where b is the base of the logarithm. Thus, the shape of the line will depend on the form of the equation used to plot the graph. If the line is straight, then it is a linear graph, and if it is curved, then it is a logarithmic graph.

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It says its wrong. I do not know how to mark you the brainliest

Answers

Answer:

A) Angle 2, Angle M

B) Angle M

C) Angle NM (or MN), Angle QM (or MQ)

Step-by-step explanation:

A) So M is the vertex of angle QMP, and the picture tells you that it's angle 2

B) M is the middle angle

C) The diagram shows you the answer

If total employee benefits are calculated as a percentage of their gross pay, which of the following employees receives
the largest percentage of their gross pay in employee benefits?
a. Employee A: gross pay $32,600, total job benefits $33,600
b. Employee B: gross pay $32,900, total job benefits $34,000
c. Employee C: gross pay $33,400, total job benefits $33,900
d. Employee D: gross pay $33,700, total job benefits $34,700

Answers

The employee who receives the largest percentage of their gross pay in employee benefits is Employee D.
What is percentage?
Percentage is a way of expressing a number as a fraction of 100. It is often denoted using the percent sign, "%", or the abbreviation "pct". For instance, 45% (read as "forty-five percent") is equal to 45/100, or 0.45. Percentage can be used to express part-to-whole relationships, such as "25% of the students in the class". It can also be used to compare two or more values, such as "the temperature rose by 3% over the course of the day". In some cases, percentage can be used to calculate a quantity from a given value, such as finding the percentage increase from one number to another.

This is because they have the highest total job benefits ($34,700) when compared to their gross pay ($33,700). This results in a percentage of 103.3%, which is the highest of the four employee options.

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All 210 students in a school went roller skating, to a water park, or both. The number of students who went only to the water park is four times the number of students who went only roller skating. The number of students who went only to the water park is two times the number of students who did both. How many students did both?

Answers

60 students out of 210 in a school went both roller skating and water park.

What is algebraic equation ?

The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.

Have given ,

Total students = 210

Let x = The number of students who went only to the roller skating

and y = The number of students who went to the water park and roller skating

x + 4x + y = 210  ⇒ 5x + y = 210 ......(i)

x + y + 2y = 210 ⇒ x + 3y = 210 ⇒ x = 210 - 3y

Put the value of x in equation no. (i),

5(210 - 3y) + y = 210 ⇒ 1050 - 14y = 210 ⇒ 14y = 1050 - 210

14y = 840 ⇒ y = 60

Hence , 60 students out of 210 in a school went both roller skating and water park.

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what is the measure indicated in the parallelogram ​

Answers

Answer:

? = 74°

Step-by-step explanation:

• in a parallelogram, consecutive angles sum to 180° , that is

? + 106° = 180° ( subtract 106° from both sides )

? ( ∠ G ) = 74°

What is the circumference of a circle with sector area 9π and arc measure 90 degrees?

Answers

By using the area of circle formula, the solution of the given problem of circle comes out to be 6 + π cm

Describe the circle.

Every location in the plane of a circle is equally separated from the center and is a closed, as double object. Each line tracing the circle contributes to the formation of a line of reflection symmetry. Additionally, each angle has axis of symmetry around the center.

Here,

A 9 Pi square centimeter circle's sector has a 60 degree center angle. The sector's exterior border is

Circle area is equal to. πR² = 9π

Circumference =2πR

=> 2π*3 = 6π cm

Arc length equals (60/360)*6 to cm

Arc's perimeter is calculated as follows: Radius + Length of Arc + Radius = π +3 + 3 = 6 +  π cm

Therefore , the solution of the given problem of circle comes out to be

6 + π cm.

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By using the area of circle formula and circumference of a circle formula, the solution of the given problem of circle comes out to be 12π cm

Describe the circle.

Every location in the plane of a circle is equally separated from the center and is a closed, as double object. Each line tracing the circle contributes to the formation of a line of reflection symmetry. Additionally, each angle has axis of symmetry around the center.

Here,

sector area of circle = 9π

arc measure = 90°

Area of sector  = (arc/360°)*πr²

⇒ 9π = (90°/360°)πr²

⇒ 9π = (1/4)πr²

⇒ 4*9π = πr²

⇒ 36 = r²

⇒ 6² = r²

r = 6

and Circumference of circle = 2πr

=> 2π*6 = 12π cm

Therefore , the solution of the given problem of circle comes out to be

12π cm.

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a forest covers 59,000 acres. A survey finds that 0.6% of the forest is old oak trees How many are acres of old oak trees are there?

Answers

Answer:

354acres

Step-by-step explanation:

Total acre = 59000

Percentage of old oak acre trees is 0.6%

Therefore, the acres of old trees are calculated:

59000 * (0.6÷100) = 354acres

How do you solve 2 polynomial equations?

Answers

The steps to solve two polynomial equations are given below.

What is polynomial?

A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.

x^2 + 4x + 7 is an illustration of a polynomial with a single indeterminate x.

Apply the Zero Factor Property to an Equation Solving.

ZERO. FACTOR, write the equation with one side equal to zero. the expression by a factor.

PROPERTY. Solve the equation by setting each factor to zero.

Check by adding substitutes to the initial equation.

Write a polynomial equation in standard form before attempting to solve it. Factor it, then set each variable factor to zero once it has reached zero. The original equations' solutions are the solutions to the resulting equations. Factoring cannot always be used to solve polynomial equations.

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What are the domain and range of this function

(0, -4)
(10,-2)
(-10, -2)
(1, -6)

Answers

The graph indicates that the line segment's domain and range are [-5, 1] and [-4, 7, respectively.

what is domain?

The range of values a function may accept is referred to as its domain. These numbers represent the x-values of a function like f. (x). The range of values that a function may operate on is referred to as its domain. The value that the function returns following the insertion of the x value is this set. A function containing the independent variable x and the dependent variable y is said to be y = f(x). A value of x is said to be in the domain of a function f if it can be used to successfully create a single value y utilizing the value of x for that purpose.

The range refers to all potential values of y, while the domain refers to all conceivable values of x.

The graph indicates that the line segment's domain and range are [-5, 1] and [-4, 7, respectively.

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