Segments AB and CD belong to the same line. We know that they overlap. AB = a and CD = b, and the overlapping part measures c. Determine the length of the segment covered by both AB and CD. What is the length of the segment AD?

Answers

Answer 1

The length of the segment covered by both AB and CD is equal to the sum of the lengths of AB and CD minus the length of the overlapping part c. Therefore, the length of the segment covered by both AB and CD is:

AB + CD - c = a + b - c

To find the length of the segment AD, we need to subtract the length of the overlapping part c from the length of the entire segment CD:

AD = CD - c = b - c

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Related Questions

with a linear regression, what is the aim when choosing the model parameters (aka the slope and coefficient(s))?

Answers

The aim when choosing the model parameters:

Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line

The correct option is (b)

This is incomplete question

Complete question is this:

With a linear regression, what is the aim when choosing the model parameters (aka the slope and coefficient(s))?

Only use models that produce values of r = 1Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line Maximize the size of the residualsFind the best fit line that crosses the y- axis at x = 0

Choose the correct option:

Now, According to the question:

Hence, The aim when choosing the model parameters:

Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line

The correct option is (b).

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five decimals between 0.42 and 0.44

Answers

Answer: 0.421, 0.422, 0.423, 0.43, 0.434

Step-by-step explanation:

A submarine is at a depth of 30m. It descends another 20m and then rises
40m. What is its final depth?

Answers

the answer is 10m deep after rising

What comes next in the following pattern?

12, 11, 15, 14, __

Answers

17,16. That what comes next I think

Hi!

I will help you with joy!

Let's take a look at our pattern.

12, 11, 15, 14, _

Here, we subtract 1, then add 4, then subtract 1, then add 4.

Thus, the next number in the pattern will be 18.

12, 11, 15, 14, 18

The next number will be 17, and so on...

I hope it helps!

Ask me if you have any queries.

Misty ~

\(\bf{Grace}\sf{ful\rm{Teen\)

Enjoy your day!

What is 1 kilo to pounds?

Answers

1 kilogram is equal to approximately 2.205 pounds (lbs).

Pounds are defined as the unit of weight of an object. This type of weighing in pounds is generally used in Britain.

It is also denoted as Lb or Lbs in short.The full form of Lb is Libra which is a Latin word meaning balance or scales. It also stands for the ancient Roman unit of measure “libra pondo” which means “a pound by weight.”

Pounds (lb) and kilograms (kg) are two of the most commonly used units to measure the mass of a specific body.

Therefore, accurate conversion between these two is very essential and important for accurate trade, engineering, and science study.

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A car manufacturer has parked some new cars in 2 car parks.In the first car park there are 60 cars in the ratio 1 red car for every 2 blue cars and 3 silver cars.In the second car park there are 80 cars in the ratio 2 blue cars for every 3 red cars and 5 silver cars.

11. How many red cars are there altogether?
12.How many blue cars are there altogether?
13.How many silver cars are there together?

Answers

The total number of red cars is 34, the total number of blue cars is 36, and the total number of silver cars is 70.

How do we solve ratio problems?

The ratio problems can be solved as follows:

11. The total number of red cars can be calculated as follows:

Number of red car in the first car park = (1 / (1 + 2 + 3)) * 60 = 10

Number of red car in the second car park = (3 / (2 + 3 + 5)) * 80 = 24

Total number of red cars = 10 + 24 = 34

12. The total number of blue cars can be calculated as follows:

Number of blue car in the first car park = (2 / (1 + 2 + 3)) * 60 = 20

Number of blue car in the second car park = (2 / (2 + 3 + 5)) * 80 = 16

Total number of blue cars = 20 + 16 = 36

13.  The total number of silver cars can be calculated as follows:

Number of silver car in the first car park = (3 / (1 + 2 + 3)) * 60 = 30

Number of silver car in the second car park = (5 / (2 + 3 + 5)) * 80 = 40

Total number of silver cars = 30 + 40 = 70

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an engine is operating at 25%of it's full power. which number line shows that represents 25%?

Answers

25 % its equal to 1/4

in Option b 1 is divided into 8 equal parts.

2 is 1/4 of 8.

So, correct option is B.

PLEASE WILL MARK BRAINLIST

PLEASE WILL MARK BRAINLIST

Answers

The graph represents the relationship between the number of games downloaded and the total cost in dollars. The ratio of total cost to the number of games downloaded is $2.50 per game.

The given graph shows the relationship between the number of games downloaded and the total cost in dollars of the downloads. It can be observed that when 2 games are downloaded, the total cost is $5.

To determine the ratio of total cost to the number of games downloaded, we divide the total cost by the number of games.

This results in a ratio of $2.50 per game downloaded. Thus, the ratio of total cost (in dollars) to the number of games downloaded is $2.50 per game.

This means that on average, each game downloaded costs $2.50.

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One Night , a Man and a Woman are on a boat the man jumps from the boat and the woman does the same who is left?

Answers

Answer:

The sailor

Step-by-step explanation:

If a man and woman jumped from a boat into the sea or whatever they jump into. The Sailor will be left on the boat.

Hope I am correct.

Given that Justin is collecting data on reaction time, what type of data is he working with?
Select the correct answer below:
A. qualitative
B. discrete quantitative
C. continuous quantitative
D. none of the above

Answers

Since reaction time is measured and not constrained to a specific range of numbers, it is continuous quantitative data.

'What is continuous quantitative?'

A continuous data set is a quantitative data set that represents a scale of measurement that includes fractions and decimals in addition to whole integers. Values like height, weight, length, temperature, and other similar metrics would be included in continuous data sets. They are items that can be quantified in decimals and fractions. A continuous data set typically requires the use of a tool, such as a ruler, measuring tape, scale, or thermometer, to create the numbers.

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Solve the system of equations -x+10y-2z=8. y-52=-4, 1+3x-y=0 via the SOR method using the starting point xo=0,yo=0.9,zo=1.1 tolerance=tol=0.05,a11=3,a22=10,a33=5and=0.9. [16 marks]

Answers

Three iterations are performed here to solve the system of equations using the Successive Over-Relaxation (SOR) method.

To solve the system of equations using the Successive Over-Relaxation (SOR) method, we need to iterate through the equations until convergence is achieved within the given tolerance.

The system of equations is:

- x + 10y - 2z = 8    (Equation 1)

y - 52 = -4           (Equation 2)

1 + 3x - y = 0        (Equation 3)

We start with the initial guesses:

x₀ = 0

y₀ = 0.9

z₀ = 1.1

Using the SOR method, the iteration formula is:

xₖ⁺¹ = (1 - ω)xₖ + (ω/a₁₁)(b₁ - a₁₂yₖ - a₁₃zₖ)

yₖ⁺¹ = (1 - ω)yₖ + (ω/a₂₂)(b₂ - a₂₁xₖ - a₂₃zₖ)

zₖ⁺¹ = (1 - ω)zₖ + (ω/a₃₃)(b₃ - a₃₁xₖ - a₃₂yₖ)

where ω is the relaxation factor, a₁₁, a₂₂, and a₃₃ are the diagonal elements of the coefficient matrix, b₁, b₂, and b₃ are the right-hand side values, and the subscripts k and k+1 represent the iteration steps.

Given:

tol = 0.05       (tolerance)

a₁₁ = 3

a₂₂ = 10

a₃₃ = 5

ω = 0.9

Let's proceed with the calculations using the SOR method:

Iteration 1:

x₁ = (1 - 0.9)(0) + (0.9/3)(8 - 10(0.9) - 2(1.1)) = 0.6

y₁ = (1 - 0.9)(0.9) + (0.9/10)(-4 - 3(0) - 5(1.1)) = 0.833

z₁ = (1 - 0.9)(1.1) + (0.9/5)(1 - 3(0) - 10(0.833)) = 1.035

Iteration 2:

x₂ = (1 - 0.9)(0.6) + (0.9/3)(8 - 10(0.833) - 2(1.035)) = 0.610

y₂ = (1 - 0.9)(0.833) + (0.9/10)(-4 - 3(0.6) - 5(1.035)) = 0.841

z₂ = (1 - 0.9)(1.035) + (0.9/5)(1 - 3(0.6) - 10(0.841)) = 1.012

Iteration 3:

x₃ = (1 - 0.9)(0.610) + (0.9/3)(8 - 10(0.841) - 2(1.012)) = 0.620

y₃ = (1 - 0.9)(0.841) + (0.9/10)(-4 - 3(0.610) - 5(1.012)) = 0.842

z₃ = (1 - 0.9)(

1.012) + (0.9/5)(1 - 3(0.610) - 10(0.842)) = 1.008

Continue these iterations until the solution converges within the given tolerance.

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An ice cream cone has a height of 16 centimeters and a diameter of 4 centimeters. What is the volume of ice cream that can be contained within the cone? Use 3.14 for pi. Round your answer to the nearest hundredth.


64.50 cm3

65.89 cm3

66.99 cm3

67.96 cm3

Answers

The correct answer is 65.89 cm³.

First, let's calculate the radius of the ice cream cone. The diameter is given as 4 centimeters, so the radius (r) is half of that:

r = 4 cm / 2 = 2 cm

The volume of a cone can be calculated using the formula V = (1/3)πr²h, where V is the volume, π is approximately 3.14, r is the radius, and h is the height.

Plugging in the values:

V = (1/3) × 3.14 × (2 cm)² × 16 cm

V = (1/3) × 3.14 × 4 cm² × 16 cm

V = (1/3) × 3.14 × 64 cm² × 16 cm

V ≈ 65.89 cm³ (rounded to the nearest hundredth)

Therefore, the volume of ice cream that can be contained within the cone is approximately 65.89 cm³.

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Which of these numbers is not larger than -2 on a number-line? 

(a) 0

(b) -1

(c) 5

(d) -3​

Answers

Answer:

D is correct.

0 is greater than -2.

-1 is greater than -2.

5 is greater than -2.

-3 is smaller than -2.

Hope this helps!

To make 12 ounces of hot chocolate, 3 tablespoons of cocoa are needed. How many tablespoons of cocoa are needed to make 72 ounces of hot chocolate?

Answers

Answer:

18

Step-by-step explanation:

consider the following 8 numbers, where one labelled x is unknown

32,49,46,x,22,17,17,49

given that the range of the numbers is 57, work out 2 values of x

Answers

If the range is 57, the two possible values of x are x = -8 and x = 74.

How to find the two possible values of x?

We have the set of numbers:

{17, 17, 22, 32, 46, 49, 49, x}

Where the numbers are ordered, except for x.

We know that the range of the set is 57, remember that the range is the difference between the largest number and the smallest number on the set.

So, if we assume that x is the smallest number on the set, the largest is 49, then we must have:

49 - x = 57

49 - 57 = x  = -8

Now, if we assume that x is the largest number on the set, the smallest is 17, then:

x - 17 = 57

x = 57 + 17 = 74

Finally, we conclude that the two possible values of x are -8 and 74.

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Find the total area round to the nearest 10th if necessary use the pi symbol on calculator

Find the total area round to the nearest 10th if necessary use the pi symbol on calculator

Answers

Answer:

\( Total \:area\approx 290.5\: ft^2 \)

Step-by-step explanation:

Total area \( =\frac {1}{2} \pi r_1^2 +\frac {1}{2} \pi r_2^2 \)

(where \( r_1 = 22/2 = 11 \: ft, \: \:\:r_2 = (30-22)/2 = 4 \: ft\))

\(\therefore Total \:area=\frac {1}{2} \pi( r_1^2 + r_2^2) \)

\(\therefore Total \:area=\frac {1}{2} \times 3.14(11^2 + 8^2) \)

\(\therefore Total \:area=1.57(121 + 64) \)

\(\therefore Total \:area=1.57(185) \)

\(\therefore Total \:area=290.45\: ft^2 \)

\(\therefore Total \:area\approx 290.5\: ft^2 \)

What is the measure of an angle of it is 160 less than 4 times it’s complement

Answers

The measure of the angle is 40 degrees.

Let x be the measure of the angle and y be its complement.

The sum of an angle and its complement is 90 degrees, so we have:

\(x+y=90\)

Also, we know that "the measure of an angle of it is 160 less than 4 times its complement", which can be written as:

\(x=4y-160\)

Now we can substitute the first equation into the second equation:

\(4y-160+y=90\)

Simplifying and solving for y, we get:

5y = 250

y = 50

Substituting y = 50 into the first equation gives:

x + 50 = 90

x = 40

Therefore, the measure of the angle is 40 degrees.

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X is an odd number , if the next odd number is 3x

Answers

Since X is an odd number, x+2 is the following odd number. If x is an even number, the subsequent odd number is x + 1.

The odd even rule is what ?

The vehicles that will travel on the highways on particular days are decided by the Odd-Even rule, a space rationing system. According to the plan, vehicles with odd and even numbers will travel the roads on alternate days.

The unusual method is what?

In jQuery, the odd() method is used to pick elements with odd index numbers (such as 1, 3, 5, etc.). The index begins at zero. It picks odd numbers, unlike the even() function, which is comparable. From the set of chosen items, the odd() method returns the odd indexed elements.

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please help to solve. with steps please.
\( {6x}^{2} {y}^{5} \div 3(x {y}^{2} )^{3} \)

Answers

Get the app Photomath

Solve x2+4x=1 by Completing the square

Solve x2+4x=1 by Completing the square

Answers

Answer:

  x = -2 ±√5

Step-by-step explanation:

You want to complete the square by adding the square of half the coefficient of the linear term:

  x^2 + 4x + (4/2)^2 = 1 + (4/2)^2

  (x +2)^2 = 5 . . . . . simplify

  x +2 = ±√5 . . . . . . take the square root

  x = -2 ±√5 . . . . . . subtract 2. This is the solution.

__

For the problem in the picture, replace x with p in the above.

In a court case, a judge cited a court of contempt and ordered a fine of $2 for first day. On subsequent days, the fine would be equal to the square of the previous day's fine. e.g. 2, 4, 16, 256 and so on. Find out:-

a) What would be the fine on day n
?

b) How many days would it take the fine to reach D
dollars?

Answers

Using geometric sequence, a) The fine on day n is $2^n (2 to the power of n). b) It would take log_2(D/2) + 1 days for the fine to reach D dollars.


In this court case, the fine on each subsequent day is equal to the square of the previous day's fine. This means that the fine follows a geometric sequence, where the common ratio is the square of the previous term.

a) To find the fine on day n, we can use the formula for the nth term of a geometric sequence:

a_n = a_1 * r^(n-1)

Where a_n is the nth term, a_1 is the first term, r is the common ratio, and n is the term number.

In this case, a_1 = 2 (the fine on the first day), r = 2 (the common ratio), and n is the day number. Plugging these values into the formula, we get:

a_n = 2 * 2^(n-1)

So the fine on day n would be 2 * 2^(n-1) dollars.

b) To find how many days it would take the fine to reach D dollars, we can use the formula for the nth term of a geometric sequence and solve for n:

D = 2 * 2^(n-1)

Dividing both sides by 2, we get:

D/2 = 2^(n-1)

Taking the logarithm of both sides with base 2, we get:

log_2(D/2) = n - 1

Adding 1 to both sides, we get:

n = log_2(D/2) + 1

So it would take log_2(D/2) + 1 days for the fine to reach D dollars.

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An ice cream cone, when filled to the brim with ice cream, has a volume of 50 cm3 and a radius of 2 cm. What is the height of the ice cream cone? Round to the nearest centimeter.

Answers

The height of the cone is 12cm

How to determine the value

First, it is important to note that the formula for calculating the volume of a cone is expressed as;

V = πr²h/3

Given that;

V is the volumer is the radiush is the height

Substitute the values

50 = 3.14 × (2)² ×h/3

Find the square

50 = 3.14 × 4 × h/3

Multiply the values, we get;

50 = 12.56h/3

Cross multiply

h = 150/12.56

h = 12cm

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Conduct an experiment where you cannot predict the result. You could roll a dice with piece of 'BLu Tack' stuck to it. Conduct the experiment many times and work out the relative frequency of success after every 10 or 20 trials

Answers

After conducting the experiment,  the final result is a distribution of relative frequencies that shows the proportion of times the BLu Tack side landed face-up compared to the total number of rolls for each set of trials.

An experiment you can conduct:

1) Take a six-sided dice and stick a piece of 'BLu Tack' to one of the sides.

2) Roll the dice many times, recording whether the BLu Tack side landed face-up or not after each roll.

3) After every 10 or 20 trials, calculate the relative frequency of success by dividing the number of times the BLu Tack side landed face-up by the total number of rolls.

For example, let's say you roll the dice 20 times and the BLu Tack side lands face-up 4 times. The relative frequency of success after 20 trials would be 4/20 = 0.2 or 20%.

Repeat the experiment many times (e.g., 100 or more) to get a more accurate estimate of the relative frequency of success. You should expect the relative frequency of success to be close to 1/6 or about 16.7%, since there is only one BLu Tack side out of six possible outcomes. However, due to randomness, there will be some variation in the observed frequencies.

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2. You expect next Saturday's sales revenue to be \( \$ \) (First 5 Digits of your Student ID). If your target labour cost percentage is \( 18 \% \), how much money can you spend on labour that day an

Answers

Given information: Expected sales revenue = $57756Target labour cost percentage = 18%To find: How much money can you spend on labour that day? Solution: Let's assume the amount that can be spent on labour is x. According to the question, Target labour cost percentage is 18%.

Therefore, the amount that will be spent on labour cost = 18% of expected sales revenue. So, we can write it as:

x = 18% of expected sales revenue orx

= (18/100) × 57756Simplify it

,x = 10396.08 (rounded to two decimal places)Thus, the amount that can be spent on labour that day is $10,396.08.

Shawna and Beatrice, by virtue of their status as the offerees, had the option of accepting or rejecting the offer. The acceptance must meet the requirements of a valid contract.

The acceptance must be communicated clearly and immediately. In addition, the acceptance must conform to the offer's terms. In Hyde v Wrench (1840), the court held that an acceptance must be unconditional and absolute and that if the acceptance is not in line with the terms of the offer, it is a counteroffer that terminates the original offer. Since Shawna and Beatrice had not yet responded to the offer, there was no acceptance of the contract. Therefore, there was no legal agreement between the parties as a contract must have both an offer and an acceptance in order to be considered valid.

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4. 4c - 3 (c = -2)


will give 5 stars

Answers

4(-2)-3 = -8-3 = -11
Answer: -11

Which figure contains an angle bisector?

Which figure contains an angle bisector?

Answers

Answer: Figure 2.

Step-by-step explanation:

Suppose that we have an angle with measure ∠M, a bisector would be a line that divides this angle in two equal parts, such that each new angle has measures (∠M)/2

Then the correct option will be the one that has two equal angles.

In figure 2, we can see that RP divides the angle SRQ in two angles 52°, then RP is the bisector of the angle.

Then the correct option is figure 2.

The next week Ronaldo biked 2 1/2 times the distance around the 20 miles lake How many miles did he ride

Answers

Answer: 50 miles

Step-by-step explanation:

you just need to multiply 20x2.5 which will give you 50 miles.

Jon swam 50 meters freestyle in a competition. How many kilometers did Jon swim?

Answers

Answer:

.05 kilometers

Step-by-step explanation:

One kilometer is 1000x more than a single meter. And \(50 \div 1000 = .05\).

To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this?

Answers

Henry could only see one line since both lines had the same slope, which means that the graphs of both equations will be identical and hence overlap.

Identify the linear equation?

Linear equations in a system 3x + 2y = 4, and 9x + 6y = 12

We must demonstrate why Henry could only make out one line when he plotted the equations 3x-2y=4 and 9x-6y=12 on a graph.

Take the provided linear equation system into consideration.

3x - 2y = 4 ................(1)

9x - 6y = 12 ..................(2)

Due to the fact that equation (2) is a multiple of equation (1), 3 (3x - 2y = 4) = 9x - 6y = 12

The slopes of the provided equations are also same.

Difference with regard to x for equation (1) yields,

additional to equation (2),

With regard to x, we can differentiate to get,

The graphs of both equations will overlap since both lines have the same slope and hence have the same appearance on the graph.

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Michelle has $8 and wants to buy a combination of dog food to feed at least two dogs at the animal shelter. A serving of dry food costs $1, and a serving of wet food costs $3. This system of inequalities models the scenario: x + 3y ≤ 8 x + y ≥ 2 Part A: Describe the graph of the system of inequalities, including shading and the types of lines graphed. Provide a description of the solution set. (4 points) Part B: Is the point (8, 2) included in the solution area for the system? Justify your answer mathematically. (3 points) Part C: Choose a point in the solution set and interpret what it means in terms of the real-world context. (3 points)

Answers

Part A: The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.

Part B: The point (8, 2) is not included in the solution area.

Part C: The point (3, 1) represents one feasible solution that meets the constraints of the problem.

Part A: The graph of the system of inequalities consists of two lines and a shaded region. The line x + 3y = 8 is a solid line because it includes the equality symbol, indicating that points on the line are included in the solution set. The line x + y = 2 is also a solid line. The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.

Part B: To determine if the point (8, 2) is included in the solution area, we substitute the x and y values into the inequalities:

8 + 3(2) ≤ 8

8 + 6 ≤ 8

14 ≤ 8 (False)

Since the inequality is not satisfied, the point (8, 2) is not included in the solution area.

Part C: Let's choose a point in the solution set, such as (3, 1). This point satisfies both inequalities: x + 3y ≤ 8 and x + y ≥ 2. In the context of the real-world scenario, this means that Michelle can buy 3 servings of dry food (x = 3) and 1 serving of wet food (y = 1) with her $8 budget. This combination of dog food allows her to feed at least two dogs at the animal shelter while staying within her budget. The point (3, 1) represents one feasible solution that meets the constraints of the problem.

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Other Questions
Explain thoroughly salinity, density, oceanic currents, and temperature as it relates to density. Oregons Rain shadow effect. What is one example of prose? O A. A poem by an award-winning poet O B. A novel by an exciting new author O C. A painting by a world-famous artist D. A bumper sticker with a funny saying what is the random variable of weight of persons working out in the gym Health and fitness programs increasingly draw from a more holistic, multidimensional model beyond physical fitness referred to as _________. Application of the FIFO inventory costing method means that:Select one:a. The cost of the last item purchased should be included in ending inventory.b. The cost of the first item purchased should be included in ending inventory.c. A periodic inventory system is used.d. Cost of goods sold should reflect the most recent prices. Pls help Ill brainlest due today Find the 11th term of the geometric sequence 7, 35, 175, Jobs are either noisy or serenely quiet. Quiet jobs pay $10 per hour. Most workers don't like the noise, so they won't work on noisy jobs for $10 per hour. In particular, for the five workers in this labor market, Anna requires $17 per hour, Bart $14 per hour, Carmen $10 per hour, Davin $15 per hour, and Ellen $11 per hour to work on a noisy job. It's costly for most firms to reduce noise on a job. For the five firms in this labor market, Al's Auto Body won't pay a wage more than $20 per hour on a noisy job; Bonnie's Bikini Boutique, $10 per hour; Carl's Custom Cabinets, $12 per hour; Debbie's Digital Demos, $14 per hour; and Elton's Entertainment, $16 per hour. Each worker works on only one job, and each firm employs only one worker. A) Graph the supply of labor to noisy jobs. If the wage on the noisy job is $13 per hour, which workers supply labor? B) Graph the demand for labor on noisy jobs. If the wage on the noisy job is $13 per hour, which firms offer noisy jobs? C) What is the equilibrium wage for noisy work? How many people work on noisy jobs in the equilibrium? which network device would be used to connect laptops together in a wlan so they could beused to collaborate on a project? Multiple Choice!!! Why are electric buses better than diesel?A.They don't not release any greenhouse gas emissions.b.They use less fuel.C.They are easier to maintain.D.They hold more students.E.They are more sustainable because they use less resources. resolve this equation Whats the definition of reflexive? What is the relationship between sampling error and representation?What is the purpose of the null hypothesis?What are the criteria for a good hypothesis? (Hint: remember these criteria for application 3)What is the relationship between chance and our research hypothesis?Why does the null hypothesis always refer to the population?Multiple-Choice Questions:6. The hypothesis helps to determine which of the following?a. average scoreb. variabilityc. techniques to be usedd. sampling plan7. The group you wish to generalize your results to is called the ______.a. populationb. samplec. sampling errord. general group8. Which of the following can be tested directly?a. the null hypothesisb. the research hypothesisc. both the null and research hypothesesd. all hypotheses9. If there is no difference between sample and population values, what do you have?a. a high sampling errorb. a low but positive sampling errorc. no sampling errord. It cannot be determined.10. Which of the following is a directional test?a. a one-tailed testb. a two-tailed testc. the research hypothesisd. the null hypothesis11. Which of the following is a nondirectional test?a. a one-tailed testb. a two-tailed testc. a research hypothesisd. all hypotheses12. If you were to hypothesize that communication students will have a higher average score on the oral communication measures, you would have a ______.a. directional research hypothesisb. nondirectional research hypothesisc. null hypothesisd. hypothesis type that cannot be determined13. If you were to hypothesize that there is a relationship between reaction time and problem-solving ability, you would have a ______.a. directional research hypothesisb. nondirectional research hypothesisc. null hypothesisd. hypothesis type that cannot be determined14. If you were to hypothesize that there is a positive relationship between reaction time and problem-solving ability, you would have a ______.a. directional research hypothesisb. nondirectional research hypothesisc. null hypothesisd. hypothesis type that cannot be determined15. Which of the following represents a nondirectional research hypothesis?a. H1: X1 < X2b. H0: m1 = m2c. H1: m1 > m2d. H1: X1 X2 How do embargoes differ from other trade barriers such as quotas and tariffs? Physical contact, droplets, and airborne are examples of what link on thechain of infection? A) Reserviours B) Portal of entry C) Modes of transmissionD) Susceptible host A flexible budget shows what budgeted amounts should have been at the actual level of activity. As a result of this change in activity, the flexible budget will show a change in total ______variable cost, revenue Show that the real wage implied by price-setting behaviour is a constant fraction of the marginal product of labour. How does this share vary with the intensity of product market competition? Explain intuitively. factor the trinomial 3x ^ 2 + 8x + 4 It was proposed by Christian Goldbach that every odd composite number can be written as the sum of a prime and twice a square.9 = 7 + 21215 = 7 + 22221 = 3 + 23225 = 7 + 23227 = 19 + 22233 = 31 + 212 Which of the following shows the proper order of a food chain?producers --> carnivores --> decomposers --> herbivoresherbivores --> decomposers --> producers --> carnivoresproducers --> herbivores --> carnivores --> decomposersproducers --> carnivores --> herbivores --> decomposers