The linear function has the domain (-2, -1, 0, 1, 2). Find the range or output of. h(x) = 2x + 3

Answers

Answer 1

If the linear function has the domain (-2, -1, 0, 1, 2). Then the range of the function h(x) = 2x + 3 will be (-1, 1, 3, 5, 7).

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

The function is given as

h(x) = 2x + 3

The linear function has the domain (-2, -1, 0, 1, 2).

For x = -2

h(-2) = 2 (-2) + 3

h(-2) = -1

For x = -1

h(-1) = 2 (-1) + 3

h(-1) = 1

For x = 0

h(0) = 2 (0) + 3

h(0) = 3

For x = 1

h(1) = 2 (1) + 3

h(1) = 5

For x = 2

h(2) = 2 (2) + 3

h(2) = 7

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Related Questions


Need the answer for number 3 please!!

Answers

Answer: No

Step-by-step explanation:

The graph is increasing, yet as p increases, the value of 100/p decreases, meaning that the graph should be decreasing.

100 POINTS!!! In one area, the lowest angle of elevation of the sun in winter is 21° Find the distance x that a plant needing full sun can be placed from a fence that is 10.5 feet high. Round your answer to the tenths place when necessary.

Answers

To find the length of the missing side x, use Tan trigonometric formula

Tan: [tex]\frac{opposite}{Adjacent}[/tex]

Tan 21 = [tex]\frac{10.5}{x}[/tex]

Tan 21 × [tex]\frac{1}{10.5}[/tex] = [tex]\frac{10.5}{x}[/tex]×[tex]\frac{1}{10.5}[/tex]

[tex]\frac{10.5}{Tan 21}=x[/tex]

x=27.4

X= 27.4 ft

Hope it helps!

Answer:

x = 27.4 ft

Step-by-step explanation:

Here given:

opposite side: 10.5 ftadjacent side: x ftto that angle: 21°

So, use tan rule:

[tex]\sf tan(\theta) = \dfrac{opposite}{adjacent}[/tex]

insert values

[tex]\sf tan(21) = \dfrac{10.5}{x}[/tex]

make 'x' subject

[tex]\sf x= \dfrac{10.5}{tan(21) }[/tex]

calculate value

[tex]\sf x = 27.35343...[/tex]

rounded to nearest tenth

[tex]\sf x = 27.4 \ ft[/tex]

Need help now due in 5 minutes pls help quick now pls pls pls pls pls

Answers

Answer: A and D

Step-by-step explanation:

- Career A's spread is more concentrated while Career B's spread is more dispersed or spread out

- Career A's median is 25 and Career B's median is 30

- Therefore A and D are the correct answers

hope this helps :)

Somebody help please

Answers

Answer:

Emily raised $37.50

Justin raised $57.50

Step-by-step explanation:

(Step 1)

Say "x" equals the amount of money Emily made and "y" equals the amount of money Justin made. You can set up an equation with both of these variables because we know that they made a combined $95.

x = Emily's earnings

y = Justin's earnings

Emily + Justin = 95

x + y = 95

(Step 2)

The fact that there are two variables makes it difficult to find how much each person made individually. However, we can eliminate the "y" variable when we remember that Justin made $20 more than Emily. Now, we can substitute "x + 20" in for "y".

x + 20 = y

x + y = 95

x + (x + 20) = 95

(Step 3)  

Finally, we can solve for the "x" variable.

x + (x + 20) = 95

2x + 20 = 95                                <------ Combine like terms

2x = 75                                         <------ Subtract 20 from both sides

x = 37.5                                        <------- Divide both sides by 2

(Step 4)

Since we know the value of "x", we can plug it into one of the equations to find the value of "y".

x + 20 = y

37.5 + 20 = y

y = 57.5

Answer:

Emily raised $37.5 and justin raised $57.5

The area of each circle is exactly
0.56π square inches.
There are 2 identical circles in the cylinder.
So the total area of all the circles is ??? π square inches.

Answers

Total area of the circle is 1.12π square inches.

What is Area of circle?

The Area of circle is π times the square of the radius.

i.e., A = πr²

Given:

Area of one circle = 0.56π

As the second circle is also identical then the area will be same.

So, the total area of circle is

=2* 0.56π

=1.12π square inches.

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please solve this question please

Answers

Answer:

a) 57

b) 19.476

c) 1.106 (rounded)

Step-by-step explanation:

a) note: the very first step here is to find the number of people of age 21 which is found through subtraction. We have a total of 250 people, and we currently have data on 193 (64 + 60 + 69) people.  This means there are (250 - 193 = 57)  57 remaining people of age 21.

The first thing we're trying to find here is the mean, which we sometimes refer to as the average, of this data set.

To find the mean, we add all values together and then divide by the number of values we've combined.

We could write out 18 + 18 + 18... sixty-four times, and then to the same thing for 19's, but that would take a while. So, we can find this value through multiplication (remember, multiplication is the same thing as repeated addition).

18 × 64 = 1152

19 × 60 = 1140

20 × 69 = 1380

21 × 57  = 1197         *see above

Now, we find the sum of our values added together:

Now, we know we have 250 values, so we will divide 4869 by 250:

4869 / 250 = 19.476

So, the mean of this sample is 19.476

Now, we are finding the standard deviation, which is found through the formula:

    ∑ (x - x^(line over x) ) ²

√ _______

       n - 1

(this is hard to write on this website sorry)

find difference between each value and mean  (that's what "x - x^(line over x)" is)

18 - 19.476 = -1.476

19 - 19.476 = -0.476

20 - 19.476 = 0.524

21 - 19.476 = 1.524

square each difference:   (that's what " (x - x^(line over x))² " is)

now, we need to add up our squared values. But first, we must account for how many of each value there are

now, let's add up our squared values:  (that's what "∑" is )  

we now need to divide this number by n - 1 (we have 250 samples, so we need to divide by 250 - 1 (249) to find our variance)

now, we find our standard deviation by taking the square root of the variance that's what the "√" is )

we can round this number to:

1.106 (or any other rounded decimal place, I did it this way to match our previous answer)

So, the standard deviation of this set is 1.106 (rounded)

hope this helps! have a lovely day :)

5. In a high school, 60% of the students live east of the school and 40% live west of the school. Among the students who live east of the school, 30% are in the math club, and among the students who live west of the school, 20% are in the math club. a. Find the probability that a randomly selected student is from east of the school and in the math club. b. Given that a student is from west of the school, what is the probability that he or she is in the math club? c. Is participation in the math club independent from whether a student lives east or west of the school? Justify your answer.

Answers

The probability for part (a) is 0.18, for part (b) is 0.08, and for part (c) is 0.26.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

a. Find the probability that a randomly selected student is from east of the school and in the math club:

P(east ∩ math club)  = 0.6×0.3 = 0.18

b. Given that a student is from west of the school, what is the probability that he or she is in the math club?

P(west ∩ math club)  = 0.4×0.2 = 0.08

c. Is participation in the math club independent of whether a student lives east or west of the school?

P(math club)  = P(east ∩ math club) + P(west ∩ math club)

= 0.18 + 0.08

= 0.26

Thus, the probability for part (a) is 0.18, for part (b) is 0.08, and for part (c) is 0.26.

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Why is it important to use the correct units of measurement when working with conversions? Explain by converting 5 feet into inches.

Answers

It is important to use the correct units of measurement when working with conversions because errors may occur. 5 feet = 60 inches.

What is conversion?

Conversion means to convert the same thing into different units.

It is important to use the correct units of measurement when working with conversions because errors may occur.

1 foot = 12 inches

Then we have

5 feet = 60 inches

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Solve for x: 1
04>x>7
04 O-2>x> 1
0-2

Answers

Answer: -2 < x < 1

Step-by-step explanation:

move all terms not containing x from the center section of the inequality

1 < x + 3 < 4

subtract 3 from both terms outside the center

1 - 3 = -2

4 - 3 = 1

therefore our answer is:

-2 < x < 1

(a) Write the next whole number after DDD fourteen in the base-fourteen system.

Answers

Answer:

1000 in base 14

Step-by-step explanation:

DDD + 1 = 1000 in base 14

What is the slope of the line shown below?

Answers

Answer:

(1/2)

Step-by-step explanation:

From one point, if you go up one and over 2 you will get exactly one block up than from your initial point. And since the graph is pointing down on left side, that means it's positive.

Consider a triangle ABC like the one below. Suppose that A=57°, C=73°, and b = 13. (The figure is not drawn to scale.) Solve the triangle. Round your answers to the nearest tenth. If there is more than one solution, use the button labeled "or".

Answers

By using triangle properties and the law of the sines twice, we find that the missing angle is 50° and the missing lengths are 14.232 and 16.229, respectively.

How to determine the missing variables of a triangle

In this triangle we know the length of a side (b = 13) and the measure of two adjacent angles (A = 57°, C = 73°). First, we determine the measure of the missing angle by using triangles properties:

B = 180° - 57° - 73°

B = 50°

Lastly, we determine the missing lengths by the law of the sines:

[tex]a = 13 \times \frac{\sin 57^{\circ}}{\sin 50^{\circ}}[/tex]

a ≈ 14.232

[tex]c = 13 \times \frac{\sin 73^{\circ}}{\sin 50^{\circ}}[/tex]

c ≈ 16.229

By using triangle properties and the law of the sines twice, we find that the missing angle is 50° and the missing lengths are 14.232 and 16.229, respectively.

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A regular six-sided die is rolled 1000 times. Use the binomial distribution to determine the standard deviation for the number of times an odd number is rolled

Answers

The standard deviation for the number of times an odd number is rolled is 15.8

How to determine the standard deviation?

The given parameters are:

Die = regular six-sided die

n = 1000

The probability of rolling an odd number is:

p = 1/2 = 0.5

The standard deviation is then calculated as;

[tex]\sigma = \sqrt{np(1 - p)[/tex]

This gives

[tex]\sigma = \sqrt{1000 * 0.5 * (1 - 0.5)[/tex]

Evaluate the products

[tex]\sigma = \sqrt{250[/tex]

Evaluate the root

[tex]\sigma = 15.8[/tex]

Hence, the standard deviation is 15.8

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when a relation is drawn on an xy-plane what is another name for the set of all x values from its graph?

Answers

Another name for the set of all x-values for a relation is: domain.

What is the Domain of a Relation?

The domain of a relation can be defined as all the x-values that corresponds to the y-values that are plotted on a graph.

They are referred to as the input or the domain of the relation. Therefore, another name for the set of all x-values plotted for a relation on a graph is: domain.

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Volume round to nearest tenth

Answers

The total volume of the given figure is:

[tex]V = 311.65cm^3 + 246.97cm^3 = 558.62cm^3[/tex]

How to find the volume of the given figure?

Here we have two simple shapes.

Half a sphere, and a cone.

The volume of half a sphere of radius R is:

[tex]V = \frac{2}{3}*3.14*R^3[/tex]

And here we know that R = 5.3cm, replacing that we get:

[tex]V = \frac{2}{3}*3.14*(5.3cm)^3 = 311.65cm^3[/tex]

For a cone of radius R and height H, the volume is:

[tex]V = \frac{3.14*R^2*H}{3}[/tex]

In this case, R = 5.3cm and H = 8.4cm

The volume of the cone is:

[tex]V = \frac{3.14*(5.4cm)^2*8.4cm}{3} = 246.97cm^3[/tex]

Then the total volume is:

[tex]V = 311.65cm^3 + 246.97cm^3 = 558.62cm^3[/tex]

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What number is 15% of 43
?
43 % of 300 is what
number?
12% of what number is 43?
43 is what percent of 106?
What percent of 43 is 6?

Answers

Step-by-step explanation:

So when a question asks what is x% of the y number. It's asking you to convert the x into decimal form by dividing by 100 and then multiply it by y. This gives you the equation: [tex]y * \frac{x}{100}[/tex] which gives you x% of y. so 15% of 43 is [tex]43 * \frac{15}{100} = 6.45[/tex]. 43% of 300 is [tex]300 * \frac{43}{100} = 129[/tex].

the 12% of what number is 43 is a bit more tricky. It's asking you to instead find a number in which 12% of it is equal to 43. So instead of plugging solving for the percentage (which is already given) you solve for y. This gives you the following equation: [tex]y * \frac{12}{100} = 43[/tex]. Now all you do is calculate 12/100 which gives you [tex]y * 0.12 = 43[/tex]. now divide both sides by 0.12 to solve for y. This gives you [tex]y = 358.\overline{33}[/tex]

43 is what percent of 106? This question is also a bit tricky, but instead of solving for y, you're solving for x. So plug in the known values, which gives you the equation: [tex]106 * \frac{x}{100} = 43[/tex]. Divide both sides by 106 to get [tex]\frac{x}{100} \approx 0.406[/tex] and now multiply both sides by 100. this gives you [tex]x \approx 40.57[/tex] which is the answer 40.57%

What percent of 43 is 6. This is asking the same thing just in a different way. So percentage = unknown, entire number = 43, entire number * percentage = 6. With these values we get the equation: [tex]43 * \frac{x}{100} = 6[/tex]. Divide both sides by 43 to get [tex]\frac{x}{100} \approx 0.140[/tex] now multiply by 100 to get [tex]x \approx 13.95[/tex] which is the answer 13.95%

60°
X
x
60°
x = [ ? ]
Ingresar

Answers

Answer: 30

Step-by-step explanation:

Since there are two angles that measure [tex]60^{\circ}[/tex], the triangle is equilateral. This means that the angle bisector of the third angle is an altitude, and thus we have two right triangles with acute angles [tex]60^{\circ}[/tex] and [tex]x[/tex]. It follows that x=30.

Need the answer for number 3 please!!!

Answers

Answer:

Step-by-step explanation:

PLEASE HELP !!! URGENT!!!

What is the range of f(x)?
O {f(x) O {f(x)|-∞ O {f(x)|4 O {f(x)|0sf(x)<∞}

Answers

Answer:

best ans is { f(x)| –∞ < f(x) ≤ 4}

Step-by-step explanation:

usually to find the range of a fn, u need to see what the value can be. the graph show only a small range of x values. but u can see f(x) is definitely <  4. so the ans is { f(x)| –∞ < f(x) ≤ 4}

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gathmath

The graph of a line has a slope of 3 and passes through the point (–4, –5).

What is the equation of the line in point-slope form?


y – 5 = 3(x – 4)


y – 4 = 3(x – 5)


y + 5 = 3(x + 4)


y + 4 = 3(x + 5)

Answers

Answer

(C) y +5 =3(x+4)

We will use the point-slope formula to solve this problem.

We will use the point-slope formula to solve this problem.(y+5)=3(x+4)

)Explanation:

)Explanation:We can use the point slope formula to solve this problem.

)Explanation:We can use the point slope formula to solve this problem.The point-slope formula states: (y−y1)=m(x−x1)

)Explanation:We can use the point slope formula to solve this problem.The point-slope formula states: (y−y1)=m(x−x1)Where m is the slope and (x1y1) is a point the line passes through.

)Explanation:We can use the point slope formula to solve this problem.The point-slope formula states: (y−y1)=m(x−x1)Where m is the slope and (x1y1) is a point the line passes through.We can substitute the slope and point we were given into this formula to produce the equation we are looking for:

)Explanation:We can use the point slope formula to solve this problem.The point-slope formula states: (y−y1)=m(x−x1)Where m is the slope and (x1y1) is a point the line passes through.We can substitute the slope and point we were given into this formula to produce the equation we are looking for:(y−(5))=3(x--(4))

=> (y+5)=3(x+4)

A researcher needs to ask a question “what impact does a new curriculum have on a student achievement?” Which of the following is the most appropriate method for answering the question?

A) observation
B)textual analysis
C)experiment
D) survey

Answers

Answer:

C) Experiment

Step-by-step explanation:

With a controlled experiment, a researcher can use a student batch that studied the old curriculum as a control group, and the new batch of students as the 'test' group. To measure student achievement, the researcher would need to either:

1. compare test results for the 2 groups

2. do a longitudinal study - follow the 2 groups of students across several years, and track their 'achievements' (university admissions, jobs, income, etc)

With the other 3 options, the results wouldn't necessarily be accurate or relevant.  

Factorize x^2+√4x+2x+2​

Answers

Answer:

x^2+4x+2

Step-by-step explanation:

A committee of 4
is being formed randomly from the employees at a school: 4
administrators, 30
teachers, and 4
staff. What is the probability that all 4
members are teachers? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Answers

The probability that all 4 are teachers is  0.0000135.

How to solve for the probability

The total number is =

4 + 30 + 4

= 38

The committee of 4 from 38 =

38C4 = 73815

The committee of 4 from 4 teachers =

4C4 = 1 way

The total favorable cases = 1 way

Probability = favorability/ total cases

= 1/73815

= 0.0000135

Hence the probability that all 4 are teachers is 0.0000135.

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Which is a term in both the sequence f(n)=f(n-1)+4 and the sequence f(n)=3(5)^n-1 if f(1)=3?
a. 7
b. 15
c. 27
d. 135​

Answers

Answer:

[tex] \small{\boxed{ \sf{Term \: in \: both \: the \: sequence \: is \: 15}}}[/tex]

Step-by-step explanation:

To determine the common term in both the sequence let's solve for each sequence individually.

Let's solve for first sequence

[tex]f(n) = f(n-1)+4[/tex]

we are already told that f(1) = 3

let's solve for f(2),f(3),f(4)........ and so on till we get the highest digit or more than the highest digit from given option.

f(2) = f(2-1)+4 = f(1)+4

f(2) = 3+4

[tex]\small{ \fbox{f(2) = 7}}[/tex]

f(3) = f(3-1)+4 = f(2)+4

f(3) = 7+4

[tex] \small{\fbox{f(3)= 11}}[/tex]

on solving further..

The series obtained is 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47, 51, 55, 59, 63, 67, 71, 75, 79, 83, 87, 91, 95, 99, 103, 107, 111, 115, 119, 123, 127, 131, 135.....

Let's solve for second series

[tex]f(n) = 3×5^{n -1}[/tex]

given that f(1) = 3,

f(2) = 3×5¹ = 15

f(3) = 3×5² = 75

f(4) = 3×5³ = 375

The series obtained is 3, 15, 75, 375.....

The term obtained in both the sequence is 15 hence option B is correct Answer.

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THe square root of 10 x 15 x 24 is

Answers

[tex]\large\blue\implies \tt \large \: \sqrt{10 \: \times \: 15 \: \times \: 24} [/tex]

[tex]\large\blue\implies \tt \large \: \sqrt{150 \: \times \: 24} [/tex]

[tex]\large\blue\implies \tt \large \: \sqrt{3600} [/tex]

[tex]\large\blue\implies \tt \large \: \sqrt{3600} \: = \: 60[/tex]

[tex]\large\blue\implies \tt \large \:60[/tex]

can somebody please explain question (i) and (ii) to me​

Answers

♨ANSWER♥

hey buddy, if u attach your question to this we can help you to find an answer for your question.

...hope this helps...

_♡_mashi_♡_

Two lines, A and B, are represented by the equations given below:

Line A: y = x − 6
Line B: y = 3x + 4

Which of the following shows the solution to the system of equations and explains why?

(−5, −11), because the point satisfies both equations
(−5, −11), because the point does not lie on any axis
(−3, −5), because the point satisfies one of the equations
(−3, −5), because the point lies between the two axes

Answers

The solution to the system of equations (−3, −5)

We have given that,

Two lines, A and B, are represented by the equations given below:

Line A: y = x − 6

Line B: y = 3x + 4

Line A

y = x - 2

Line B

y = 3x + 4

If we equate those 2 equations

x - 2 = 3x + 4

2x = -6

x = -3

y = -5

So the answer is

(−3, −5), because the point satisfies both equations.

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Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°

Answers

Based on the triangle sum theorem, exterior angle theorem, the true statements are:

m∠5 + m∠6 = 180°

m∠2 + m∠3 = m∠6

m∠2 + m∠3 + m∠5 = 180°

What is the Triangle Sum Theorem and the Exterior Angle Theorem?

According to the triangle sum theorem, m∠2 + m∠3 + m∠5 = 180°.

Also, based on the exterior angle theorem, m∠2 + m∠3 = m∠6.

∠5 and ∠6 are a pair of linear angles, therefore: m∠5 + m∠6 = 180°.

In summary, the true statements about the diagram given are:

m∠5 + m∠6 = 180°m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°

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If the price of a bicycle is increased by 9.09%,
then by 8.33% and then by 7.7%, the price
becomes Rs. 1,274. What is the original price
of the bicycle?

Answers

Answer:

Rs 1000.97

Step-by-step explanation:

x = original price

new price =   x (1.0909)(1.0833)(1.077) = 1274

                         x = Rs 1000.97

A triangle has squares on its three sides as shown below. What is the value of x? 3 cm U x cm 4 cm 3 centimeters 4 centimeters 5 centimeters 07 centimeters A triangle has squares on its three sides as shown below . What is the value of x ? 3 cm U x cm 4 cm 3 centimeters 4 centimeters 5 centimeters 07 centimeters​

Answers

The value of x is 10 centimeters

How to solve for x?

The complete question is in the image

The value of x is calculated using the following Pythagoras theorem

x^2 = 6^2 + 8^2

Evaluate the sum of exponents

x^2 = 100

Take the square roots

x = 10

Hence, the value of x is 10 centimeters

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The cannon on a battleship can fire a shell a maximum distance of 36.0 km.(a) Calculate the initial velocity of the shell. m/s(b) What maximum height does it reach? (At its highest, the shell is above a substantial part of the atmosphere--but air resistance is not really negligible as assumed to make this problem easier.) m(c) The ocean is not flat, since the earth is curved. How many meters lower will its surface be 36.0 km from the ship along a horizontal line parallel to the surface at the ship? mDoes your answer imply that error introduced by the assumption of a flat earth in projectile motion is significant here? (Select all that apply.)The error is insignificant compared to the distance of travel.The error is significant compared to the distance of travel.The error could be significant compared to the size of a target.The error is insignificant compared to the size of a target. what is the maximum amount of CO2(44.0095 g/mol) which could be formed from9.31 g of C2H2 (26.0373 g/mol) and 3.8 g ofO2 (31.9988 g/mol)? Mother TheresaMother Theresa is well-known for her service to the poor in Calcutta, India. She once said, "Intense love does not measure; it just gives." Sheworked to spread love and hope to those within her reach, but not many people know about her background and what led her to do her greatwork.Early LifeMother Theresa was born in Yugoslavia on August 27, 1910, under the name Anjez Gonxhe Bojaxhiu. She was the youngest of three children. Shad an older sister, Aga, and an older brother, Lazar. Although most people believe that she came from humble beginnings, her family actuallyhad a lot of money. Her father was a well-respected contractor, and their family had two homes. When she was only seven years old, tragedystruck. Her father passed away suddenly, and her mother had to take full responsibility for the children.Mother Theresa later recalled that she spent a lot of her time at church with her family, but she didn't decide to become a nun until she was 18years old. At this point, she traveled to Ireland to receive her training from the Loreto Sisters of Dublin.A= does not measure B= early life C= an older sister D= only seven years oldE= at this point Please help! (: What assumptions about the economy must be true for the invisible hand to work? To what extent are those assumptions valid in the real world? Do these conditions hold in the social service industries? Which of the following is NOT a public good provided by the government? According to the principle of independent assortment, there is a _____ percent chance that any tall pea plant will produce either yellow or green peas. Daniel's failure to deliver ice-cream makers and waffle makers on time resulted in a two-week delay in the opening of Sheena's new ice-cream parlor. Sheena incurred a heavy loss since she had to pay the rent for those two weeks as well as salaries to the personnel hired. In this case, which of the following remedies is a court most likely to award Sheena? Group of answer choices nominal damages liquidated damages differential damages specific performance consequential damages 0.65 more than -4.35 Mr. Smith joined ABC Fertilizers Manufacturing Company in September 2001 as a Junior Operator Trainee. Within the non-executive category, the company had five levels from G1 (the lowest grade) to G5 (the highest grade). Smith joined at G2 level. After training, he was absorbed in the Ammonium Sulphate Shop as a Junior Operator. He rose up to the level of G4 in February 2005 because of his sincere and hard work. All through these years, he kept away from union activities. He never refused or avoided any job. Very often his officers used to ask him to do additional jobs which he did willingly. Gradually Smith became a handy man for all various assignments which others might have refused. Since June 2006, Smith was regularly asked to perform certain duties which were actually to be done by a G5 level operator as the post in the higher grade was vacant. However, as per the company's rules, Smith was not eligible for promotion to the higher grade at that time. Gradually, Smith started performing all the duties attached to the higher post. About this time, Smith started taking interest in union activities. On August 8, 2007 Smith was instructed by his superior to stop one agitator pump and start another one. He was also asked to normalise the operation of the sulphate drier. Later his boss alleged that he did not attend to these jobs and neglected his normal inspection duty as a result of which tar got settled in a tank which was to remain free of tar. On August 12 of the same year, Smith was instructed to attend to the breakdown of discharge feeder chain and conveyor. Later his superior alleged that he did not do this job. On both these days, Smith did not fill the section's log book which was a part of his normal duty. On August 25, 2007 a show-cause notice was served on Smith demanding explanation within 48 hours as to why disciplinary action should not be taken against him. He replied on August 29 of the same year, denying the allegations and stating that the management had fabricated the charges. As per the compan Point O is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of O A is 3. The length of A A prime is 9.Triangle ABC is dilated to create triangle A'B'C' using point O as the center of dilation.What is the scale factor of the dilation?1/3341/4 A 2012 survey of 2,254 American adults indicates that 17% of cell phone owners do their browsing on their phone rather than a computer or other device. (a) According to an online article, a report from a mobile research company indicates that 38 percent of Chinese mobile web users only access the internet through their cell phones. Conduct a hypothesis test to determine if these data provide strong evidence that the proportion of Americans who only use their cell phones to access the internet is different than the Chinese proportion of 38%. The hypotheses for this test are: Assume that you are a member of a special Interest group that wants to raise taxes on certain items. Who would you present your idea to if youwanted it to be proposed as a bill? OQ=4x+2,OQ=4x+2, PQ=4x-10,PQ=4x10, and OP=3x-3,OP=3x3, determine the numerical length of OQ . Using the same resources, the country of Zanzibarus produces 12 million pounds of beef or 5 million pounds of pork. Zanizibarus has a (n) ________ in beef in contrast with pork production. A company pays each of its two office employees each Friday at the rate of $210 per day for a five-day week that begins on Monday. If the monthly accounting period ends on Tuesday and the employees worked on both Monday and Tuesday, the month-end adjusting entry to record the salaries earned but unpaid is: What was the ARU? A. American Retirement Union B. American Railway Union C. American Roadway Union TI D. American Railway Underwriter's Guild what does being free mean this is timed, much help is appreciated:) JFDKGJNREITFHROIHTJFMNORHCTGJK,MV JIOKVMNTRH HTR OIMTGR A rectangle is four times as long as it is wide. If its length were diminished by 6 meters and its width were increased by 6 meters, it would be a square. What are the rectangles dimensions?