Find the measure of 2.
50 2.
1130
< 2 =
[?]

The solution is: Piece-wise function

f(x)=x+6 , x≤1

f(x) = x^2 + 3 , x>1, the following functions is graphed below.

Option C is correct.

Explanation:

We are given a graph of piece-wise function which break at x=1

We need to choose correct option for graph.

Function is break at x=1.

We will get two function

For x≤1 and x>1

As we can see x≤1, graph is linear and x>1 graph is parabolic.

Equation of linear graph, x≤1

Take two point of graph (0,6) and (-6,0)

Equation of line:

y-y1/y2-y1 = x-x1/x2-x1

y = x+1

f(x)=x+6 , x≤1

Equation of parabolic graph, x>1

f(x) = x^2 + 3

Piece-wise function

f(x)=x+6 , x≤1

f(x) = x^2 + 3 , x>1

Please see the attached figure.

Hence, The option C is correct.

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According to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570 the number of female population is 43,11,50,122.

To find the wide variety of girl population, we will subtract the quantity of male population from the full population.

Total population = 88,51,84,692

Number of male = 45,40,34,570

Number of female = Total population - Number of male

= 88,51,84,692 - 45,40,34,570

= 43,11,50,122

Therefore, the number of female population is 43,11,50,122.

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In this example, process A completed its final quantum in q4, process B completed its final quantum in q4, and process C completed its final quantum in q4.

To determine which queue each process is in when it begins its final quantum, we need to know the length of time each process has been running and how many times it has already used each queue's quantum. Without that information, we cannot determine which queue a process will be in at a specific point in time. However, we can provide an example of how a process might move between the queues over time.

Let's consider the following three processes:

Process A - CPU burst time = 100s

Process B - CPU burst time = 30s

Process C - CPU burst time = 50s

Assume that all three processes arrive at the scheduler at the same time and are added to q1, the highest priority queue.

When the scheduler begins, it will select the first process in q1, which is process A. Since q1 has a quantum of 5s, process A will run for 5s before it is preempted and placed at the back of q2.

The next process in q1 is B. B will also run for 5s before being preempted and placed at the back of q2.

Next, the scheduler will select process C from q1. C will run for 5s before being preempted and placed at the back of q2.

Now the scheduler has completed one round-robin cycle through q1, and all the processes in q1 have used up their q1 quantum. The scheduler will move on to q2 and select the first process in that queue, which is process A. Since q2 has a quantum of 10s, process A will run for an additional 5s before being preempted and placed at the back of q3.

The next process in q2 is B. B will run for 10s before being preempted and placed at the back of q3.

Next, the scheduler will select process C from q2. C will run for 10s before being preempted and placed at the back of q3.

Now the scheduler has completed one round-robin cycle through q2, and all the processes in q2 have used up their q2 quantum. The scheduler will move on to q3 and select the first process in that queue, which is process A. Since q3 has a quantum of 20s, process A will run for an additional 10s before being preempted and placed at the back of q4.

The next process in q3 is B. B will run for 20s before being preempted and placed at the back of q4.

Next, the scheduler will select process C from q3. C will run for 20s before being preempted and placed at the back of q4.

Now the scheduler has completed one round-robin cycle through q3, and all the processes in q3 have used up their q3 quantum. The scheduler will move on to q4 and select the first process in that queue, which is process A. Since q4 has a quantum of 40s, process A will run for an additional 20s before completing its CPU burst.

The next process in q4 is B. B will run for 30s before completing its CPU burst.

Finally, the scheduler will select process C from q4. C will run for 40s before completing its CPU burst.

However, it's important to note that the exact behavior of the scheduler will depend on the length of time each process has been running and how many times it has already used each queue's.

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The image point of P(x,y) = (-6, - 4) after applying a transformation is,

P'(x,y) = (-5, - 10).

In geometry, a rigid transformation is a transformation applied onto a geometric object such that Euclidean distance in every point of it is conserved. Translations are examples of rigid transformations and are defined by this formula:

P'(x,y) = P(x,y) + T(x,y)   (1)

Where:

P(x,y) - Original point

T(x,y) - Translation vector

P'(x,y) - Image point

If we know that P(x,y) = (-6, - 4) and T(x,y) = (- 4, - 1), then the image point is:

P'(x,y) = (-6, - 4) + (- 4, -1)

P'(x,y) = (-10, - 5)

Thus, The image point of P(x,y) = (-6, -4) after applying a rotation about y = - x is,

P'(x,y) = (- 5, - 10).

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A study based on a population sample that includes 2000 respondents would be the most reliable out of the given options.

In statistical analysis, the reliability of a study depends on the representativeness and size of the sample.

A larger sample size generally provides more reliable results as it reduces the sampling error and increases the precision of the estimates.

Given that the population contains 20,000 people, we need to consider which number of respondents would yield the most reliable study.

Option A: 200 respondents

This represents only 1% of the population.

While it is better than having just 2 respondents, it may not be sufficient to accurately capture the characteristics of the entire population.

Option B: 20 respondents

This represents only 0.1% of the population.

With such a small sample size, the study would likely suffer from a high sampling error and may not provide reliable results.

Option C: 2000 respondents

This represents 10% of the population.

While it is a larger sample size compared to the previous options, it still only captures a fraction of the population.

The study may provide reasonably reliable results, but there is room for potential sampling error.

Option D: 2 respondents

This represents an extremely small sample size, accounting for only 0.01% of the population.

With such a small sample, the study would be highly susceptible to sampling bias and would likely yield unreliable results.

Based on the options provided, option C with 2000 respondents would be the most reliable study.

Although it does not include the entire population, a sample size of 2000 respondents provides a larger representation of the population and reduces the potential for sampling error.

However, it's important to note that the reliability of a study depends not only on sample size but also on the sampling method, data collection techniques, and other factors that ensure representativeness.

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You use the pythagoras theorem to find the lenght of the hypotenuse:

You have the measure of the two legs: 40 and 9:

Answer:

y = - \(\frac{1}{2}\) x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = (4, - 1) ← 2 points on the line

m = \(\frac{-1-1}{4-0}\) = \(\frac{-2}{4}\) = - \(\frac{1}{2}\)

The line crosses the y- axis at (0, 1 ) ⇒ c = 1

y = - \(\frac{1}{2}\) x + 1 ← equation of line

Answer:

54 republicans

50 democrats

Step-by-step explanation:

x=republicans

y=democrats

x+y=104

x=y+4

substitute for y

y+4+y=104

simplify

2y=100

y=50

x=54

Answer:

Think about the PEMDAS rules for order of operations.

Multiplication comes before addition or subtraction, so first we have "the product of a number and 5" - that's 5x. Then "six more" than that would be 5x + 6. "Equals" means the "=" sign, so the final answer is 5x + 6 = 8.

Completing the frequency table, and using the percentage concept, it is found that 11% of students under age 15 travel to school by car.

\(P = \frac{a}{b} \times 100\%\)

In this problem:

Hence:

\(P = \frac{18}{165} \times 100\% = 11\%\)

Then, 11% of students under age 15 travel to school by car.

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Answer:

C

Step-by-step explanation:

Step-by-step explanation:

Hi tag brainliest ❣️

Thanks

Since the shaded area equal 4

our answer is A

that is the number of shaded area ÷ the total number of points

-

Answer:

0.64

Step-by-step explanation:

here is the explanation

There are \(1.18\times 10^24\) formula units in a 1.96 mol sample of NH4NO3.

What is Avagadaro's Number ?

Avogadro's number, denoted as N_A, is a fundamental physical constant that represents the number of particles (such as atoms, molecules, ions, or other particles) in one mole of a substance. One mole of a substance contains Avogadro's number of particles, which is approximately 6.022 x 10²³ particles.

The number of formula units in a sample of a compound can be calculated using Avogadro's number (6.022 x 10²³) and the molar mass of the compound.

The molar mass of NH4NO3 can be calculated as:

M(NH4NO3) = 14.01 + 4(1.01) + 14.01 + 3(16.00) = 80.04 g/mol

Therefore, the number of formula units in a 1.96 mol sample of NH4NO3 can be calculated as:

(1.96 mol NH4NO3) x (6.022 x 10²³ formula units/mol) = 1.18 x 10²⁴formula units

So, there are 1.18 x 10²⁴ formula units in a 1.96 mol sample of NH4NO3.

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Complete Question:

What Is The Number For Formula Units In A 1.96 Mol Sample Of NH₄NO₃?

Answer:

The expected value for this game is -$0.75, indicating that, on average, players would expect to lose $0.75 per game.

Step-by-step explanation:

Expected Value = (Probability of Winning * Payout for Win) - Cost of Playing

In this case:

Probability of Winning = 0.05

Payout for Win = $5

Cost of Playing = $1

Expected Value = (0.05 * $5) - $1

Expected Value = $0.25 - $1

Expected Value = -$0.75

Answer:

x=11

Step-by-step explanation:

You do 38/3x+3 and 19/x+7 and then cross mulitply and get 57x+57=38x+266. Then yoy subtract 57 from 266 and get 57x=38x+209. Now you have to subtract 38 from 57 and then answer will be 19. So now you have 19x=209. Finally you divide 209 by 19 and get x=11. Good luck!

The required function is clearly passes through the origin and have a constant slope .

Also function have removable discontinuity at x=-5 and x=3.

Since we have given that a function passes through origin and having a constant slope 1 also the function have removable discontinuity at x = -5 and x = 3.

since we first define removable discontinuity.

this type of discontinuity  can be removed by defining f in such a way that limₓ→ₐ = f(a)

here we have given that function  have removable discontinuity at x = -5 and x=3 then if y = p(x)/q(x) be the required function, the denominator q(x) will be equal to product of (x-(-5) and (x-3)

that is:

q(x) = (x+5)(x-5)

hence we define a function y = f(x) with discontinuity x=-5 and x=3 is:

f(x) = 1/(x+5)(x+3)

now:

here limₓ→₋₅ f(x) does not exist also limₓ→₃ f(x) does not exist.

to make it removable discontinuity we multiplying the numerator of f(x) by the term (x+5)(x-3) then the new function will be:

f(x) = (x+5)(x-3)/(x+5)(x-3)

hence clearly

limₓ→₅f(x) =1 and limₓ→₃f(x)=`

but the function f(x) at x=-5 and c=3 is undefined.

thus function is: f(x) = (x+5)(x-3)/(x+5)(x-3) which has removable discontinuity at

x=-5 and x=3

hence the desired function is:

f(x) = x(x+5)(x-3)/(x+5)(x-3)

f(x) = x(x²+2x-15)/(x+5)(x-3)

f(x) = x³+2x²-15x//(x+5)(x-3)

this is the required function which clearly passes through the origin and have a constant slope .

Also function have removable discontinuity at x=-5 and x=3.

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Answer:

B

Step-by-step explanation:

C and D are eliminated since those make it bigger and there are 5 zeros so the answer is B.

Answer:

16 yards

Step-by-step explanation:

Perimeter = 3.5 + 3.5 + 4.5 + 4.5

Perimeter = 16 yards

Answer:

Step-by-step explanation:

Set up two equations and solve the system:

270 = 70x + b

- (150 = 30x + b)

 120 = 40x

   3   =  x

Input "x" into one of the equations and solve for "b":

150 = 30x + b

150 = 30(3) + b

150 = 90 + b

60 = b

Equation: y = 3x + 60

This means that there is a flat fee of $60 plus a rate of $3 per student

Answer: D. the segment has two endpoints.

Step-by-step explanation:

A line segment refers to a part of a line which is bounded by two distinct end points. The line segment is part of the line which helps in the connection of two points that are considered to be the endpoints.

A line segment is the distance between the two points and which one measure.

They can be used to form a side of a polygon because they have a defined length.

Answer:

D. the segment has two endpoints

Step-by-step explanation:

I took the test as well.

The system of graphs is a very unique concept which helps to understand various concepts in a visual way.

How does this occur?

The two lines intersect at (-3, -4), which is the system of equations' solution.

This is how the equation can be solved-

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Answer:

A (no because the graph is not a straight line)

Step-by-step explanation:

The rate of change is not consistent, and therefor is not proportional.

Answer:

(D) No, because the graph does not pass through the origin.

Step-by-step explanation:

because its the correct answer (im smart)

Answer:According to the given survey results, there were 7 students who took English and science, but not religion. This number is calculated by subtracting the students who took all three subjects (3 students) and those who took science and religion (9 students) from those who took English (30 students). This leaves 18 students who took English and science, of which 11 also took religion. Therefore, 7 students took English and science, but not religion.

Step-by-step explanation:

The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

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The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

Answer:

third option

Step-by-step explanation:

using the rule of exponents

\((a^m)^{n}\) = \(a^{mn}\)

\(a^{-m}\) = \(\frac{1}{a^{m} }\)

\(a^{\frac{m}{n} }\) = \((\sqrt[n]{a})^m\)

given

\((125x^{\frac{7}{3} }) ^{-\frac{1}{3} }\)

= \(125^{-\frac{1}{3} }\) × \(x^{-\frac{7}{9} }\)

= \(\frac{1}{125^{\frac{1}{3} } }\) × \(\frac{1}{x^{\frac{7}{9} } }\)

= \(\frac{1}{\sqrt[3]{125} }\) × \(\frac{1}{x^{\frac{7}{9} } }\)

= \(\frac{1}{5}\) × \(\frac{1}{x^{\frac{7}{9} } }\)

= \(\frac{1}{5x^{\frac{7}{9} } }\)

Answer:

1) B = 88°, a = 13.1, b = 26.9

2) C = 73°, a = 20.9, b = 12.6

Step-by-step explanation:

To solve for the remaining sides and angles of the triangle, given two sides and an adjacent angle, use the Law of Sines formula:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Given values:

As the interior angles of a triangle sum to 180°:

\(\implies A+B+C=180^{\circ}\)

\(\implies B=180^{\circ}-A-C\)

\(\implies B=180^{\circ}-29^{\circ}-63^{\circ}\)

\(\implies B=88^{\circ}\)

Substitute the values of A, B, C and c into the Law of Sines formula and solve for sides a and b:

\(\implies \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)

\(\implies \dfrac{a}{\sin 29^{\circ}}=\dfrac{b}{\sin 88^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)

Solve for a:

\(\implies \dfrac{a}{\sin 29^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)

\(\implies a=\dfrac{24\sin 29^{\circ}}{\sin 63^{\circ}}\)

\(\implies a=13.0876493...\)

\(\implies a=13.1\)

Solve for b:

\(\implies \dfrac{b}{\sin 88^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)

\(\implies b=\dfrac{24\sin 88^{\circ}}{\sin 63^{\circ}}\)

\(\implies b=26.9194211...\)

\(\implies b=26.9\)

\(\hrulefill\)

Given values:

As the interior angles of a triangle sum to 180°:

\(\implies A+B+C=180^{\circ}\)

\(\implies C=180^{\circ}-A-B\)

\(\implies C=180^{\circ}-72^{\circ}-35^{\circ}\)

\(\implies C=73^{\circ}\)

Substitute the values of A, B, C and c into the Law of Sines formula and solve for sides a and b:

\(\implies \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)

\(\implies \dfrac{a}{\sin 72^{\circ}}=\dfrac{b}{\sin 35^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)

Solve for a:

\(\implies \dfrac{a}{\sin 72^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)

\(\implies a=\dfrac{21\sin 72^{\circ}}{\sin 73^{\circ}}\)

\(\implies a=20.8847511...\)

\(\implies a=20.9\)

Solve for b:

\(\implies \dfrac{b}{\sin 35^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)

\(\implies b=\dfrac{21\sin 35^{\circ}}{\sin 73^{\circ}}\)

\(\implies b=12.5954671...\)

\(\implies b=12.6\)

Answer:

x = 3 + 2y

Step-by-step explanation:

x - 2y = 3 ( Isolate x on the left side by adding 2y to both sides )

x = 3 + 2y

Step-by-step explanation:

Step 1: Add -y^3 to both sides.

y3+x2+−y3=1+−y3

x2=−y3+1

Step 2: Take square root.

x=√−y3+1 or x=−√−y3+1

Answer:

x=√−y3+1  or  x=−√−y3+1

(I think this is right) (tell me if im right plz and thx)

Answer:

repeated addition

Step-by-step explanation:

The transformation:

(x, y) → (x + a, y + b)

where a and b are some constants, translates the point (x, y) a units to the right, and b units up. Then, the transformation:

(x, y) → (x + 5, y + 3)

translates Quadrilateral PQRS 5 units to the right and 3 units up

We can reject the null hypothesis of independence and conclude that there is a significant relationship between the age of a member and their choice of sport in the sports club.

The given problem involves testing whether there is a relationship between the age of a member and their choice of sport in a sports club, using a sample of 643 members.

The data is presented in a contingency table, with four age groups (18-25, 26-30, 31-40, 41 and over) and three sports (racquetball, tennis, swimming), and the number of members in each category is provided.

To test for independence, we can use a chi-square test of independence. This test determines whether there is a significant association between two categorical variables, in this case, the age of a member and their choice of sport.

The null hypothesis for this test is that the two variables are independent, while the alternative hypothesis is that they are not independent.

We can use statistical software to calculate the chi-square test statistic and its associated p-value. If the p-value is less than our chosen level of significance (usually 0.05), we can reject the null hypothesis and conclude that there is a significant relationship between the variables.

In this case, the chi-square test statistic is calculated as 47.125 with 6 degrees of freedom, and the associated p-value is less than 0.001. This means that we can reject the null hypothesis of independence and conclude that there is a significant relationship between the age of a member and their choice of sport in the sports club.

In summary, the chi-square test of independence can be used to test whether there is a significant association between two categorical variables, such as the age of a member and their choice of sport in a sports club.

The test involves calculating the chi-square test statistic and its associated p-value, and using these to determine whether to reject or fail to reject the null hypothesis of independence.

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