Why is the use of 0 and necessary in a measuring instrument?

There are 12 kangaroos in the enclosure.

Two or more expressions with an Equal sign is called as Equation.

Let's assume that there are 'n' kangaroos in the enclosure, and let's call their individual ages x₁ x₂, x₃, ..., xₙ.

x₁+ x₂+ x₃ + ... + xₙ = 36 ........(1)

In two years, each kangaroo will be two years older.

So the total age of all the kangaroos in two years will be:

(x₁+ 2) + (x₂ + 2) + (x₃ + 2) + ... + ( xₙ  + 2)

Expanding this expression, we get:

x₁+ x₂+ x₃ + ... + xₙ + 2n=36

36 + 2n

We know that in two years, the total age of all the kangaroos will be 60. So we can write:

36 + 2n = 60

Subtracting 36 from both sides, we get:

2n = 24

Dividing both sides by 2, we get:

n = 12

Therefore, there are 12 kangaroos in the enclosure.

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A chart that compares three sets of values in a three-dimension chart is called surface.

A two-dimensional collection of points (flat surface), a three-dimensional collection of points with a curved cross section (curved surface), or the perimeter of any three-dimensional solid are all examples of surfaces in geometry.

A surface is typically a continuous boundary that separates two areas of a three-dimensional space. For instance, a sphere's surface divides its interior from its exterior, and a horizontal plane divides the half-planes above and below it. Despite the fact that regions they contain are three-dimensional and have a volume, surfaces are basically two-dimensional and have an area. Despite this, surfaces are frequently referred to by the names of the regions they surround. Differential geometry studies the characteristics of surfaces, particularly the concept of curvature.

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Answer:

$7,562.5

Step-by-step explanation:

Given the function of the profit earned expressed as;

f(p) =-40p^2+1100p

To maximize the profit, df(p)/dp must be sero

df(p)/dp = -80p + 1100 = 0

-80p + 1100 = 0

-80p = - 1100

p = 1100/80

p = 13.75

Substitute p = 13.75 into the function

f(13.75) =-40(13.75)^2+1100(13.75)

f(13.75) = -7,562.5+15,125

f(13.75) = 7,562.5

Hence the symphony should charge $7,562.5 to maximize the profit.

Sampling is the use of a subset of the population to represent the whole population or to inform about processes that are meaningful beyond the particular cases, individuals or sites studied.

In non-probability sampling, the sample is selected based on non-random criteria, and not every member of the population has a chance of being included. Common non-probability sampling methods include convenience sampling, voluntary response sampling, purposive sampling, snowball sampling, and quota sampling.

The given data is: Total number of tickets purchased= 56.Therefore, 40 child tickets were sold.The answer to this question is 40 child tickets were sold. From the given data, we have the following system of linear equations:x + y = 56 ---(1)

3x + 5y = 200 ---(2)

To solve the above system of linear equations, we can use the substitution method or the elimination method.Substitution method: From equation (1), we get:y = 56 - x. Substitute this value of y in equation (2), we get:3x + 5(56 - x) = 200. Simplify and solve for x:3x + 280 - 5x = 200-2x = -80x = 40. Therefore, 40 child tickets were sold.Adult tickets sold= 56 - 40 = 16. Answer: 40

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1.  If any problems are identified, suggest potential remedies such as process improvements, employee training, quality control measures, or changes in strategy.

2.  Consider whether the CEO has effectively communicated the company's goals, performance metrics, challenges, and strategies to the board.

3. If the CEO has fulfilled their responsibility, focus on refining the communication process and ensuring that the board receives timely and relevant information.

4.  Emphasize the importance of accurate, timely, and actionable data that enables the board to make informed decisions.

5. Consider whether the minutes provide a clear and objective summary of the discussions and whether they align with the organization's leadership style and approach.

6. Evaluate whether the board's decisions and initiatives align with the organization's goals and objectives for quality and performance improvement.

To identify changes or patterns in the data, carefully analyze the provided data in the case study. Look for trends, variations, or any significant shifts in the data over time. Consider factors such as growth rates, financial performance, customer satisfaction ratings, employee turnover, or any other relevant metrics. If any problems are identified, suggest potential remedies such as process improvements, employee training, quality control measures, or changes in strategy.

Assess whether the CEO has fulfilled their responsibility for educating the board by evaluating the level of knowledge and understanding demonstrated by the board members. Determine if the board members have been provided with sufficient information and resources to make informed decisions. Consider whether the CEO has effectively communicated the company's goals, performance metrics, challenges, and strategies to the board.

Based on the assessment in question 2, recommend appropriate strategies. If the CEO has not adequately educated the board, suggest initiatives such as regular training sessions, workshops, or providing comprehensive reports to enhance their understanding of the business. If the CEO has fulfilled their responsibility, focus on refining the communication process and ensuring that the board receives timely and relevant information.

Determine the key quality-related data that should be reported and utilized by the board of directors. This may include data on customer satisfaction, product quality metrics, employee engagement and satisfaction, financial performance indicators, market share, or any other relevant measures that align with the organization's goals and objectives. Emphasize the importance of accurate, timely, and actionable data that enables the board to make informed decisions.

Evaluate the minutes of the board meetings to assess if they accurately reflect the discussions held during the meetings. Look for comprehensive records of agenda items, decisions made, action items assigned, and any important points or concerns raised by board members. Consider whether the minutes provide a clear and objective summary of the discussions and whether they align with the organization's leadership style and approach.

Assess whether the board is utilizing the information provided to make decisions that impact quality and performance improvement. Look for evidence of the board actively discussing and considering the quality-related data, asking relevant questions, and taking actions based on the information. Evaluate whether the board's decisions and initiatives align with the organization's goals and objectives for quality and performance improvement.

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Answer:

Volume of a sphere is 4/3πr^3

Determine r for the radius and multiply by 2 for diameter

1.the number of people in the labor force is 38.

2.the unemployment rate in Napielodougou is 5.26%.

3.the participation rate in Napielodougou is 60.32

1. Calculation of the number of people in the labor force: The number of people in the labor force is equal to the sum of employed and unemployed persons.

That is, in Napielodougou, the number of people in the labor force is equal to the number of people who have full-time jobs and part-time jobs, plus the number of people who are jobless but would like to work.

Therefore, the number of people in the labor force is calculated as follows: Number of people in the labor force = Number of full-time jobs + Number of part-time jobs + Number of jobless people who want to work = 25 + 10 + (75 - 25 - 10 - 12 - 10 - 5 - 8 - 2) = 25 + 10 + 3 = 38.

Therefore, the number of people in the labor force is 38.

2. Calculation of the unemployment rate in the village of Napielodougou: The unemployment rate is calculated by dividing the number of unemployed people by the number of people in the labor force and then multiplying the result by 100%.

The number of unemployed persons is the number of jobless people who want to work but could not find a job. Therefore, the unemployment rate in Napielodougou is calculated as follows:

Unemployment rate = Number of unemployed people / Number of people in the labor force × 100% = (75 - 25 - 10 - 12 - 10 - 5 - 8 - 2 - 2) / 38 × 100% = 1 / 19 × 100% = 5.26%.

Thus, the unemployment rate in Napielodougou is 5.26%.

3. Calculation of the participation rate in the village of Napielodougou: The participation rate is calculated by dividing the number of people in the labor force by the total number of working-age people (excluding those under the age of 16).

Therefore, the participation rate in Napielodougou is calculated as follows: Participation rate = Number of people in the labor force / Total number of working-age people × 100% = 38 / (75 - 12) × 100% = 38 / 63 × 100% ≈ 60.32%.

Hence, the participation rate in Napielodougou is 60.32

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Answer:

Billy

Step-by-step explanation:

1 divided by 5 is .20 or 20%

1 divided by 9 is .11 or 11%

25% is the larger circle area is gray.

Area of a Circle: The area of a circle is pi times the radius squared.

To calculate the area of the circle we have the formula:

A = π r²-----(1)

where

A=area

r=radius.

First, we have to analyze the given data, the large circle center o passes through d, so

Gray circle area=π*(radius)^2----(2)

The radius of the smaller circle = OD/2 substitute in (2)

Gray circle area=π*(OD/2)^2

Gray circle area=π*OD^2/4

Larger circle area=π*(radius)2    

radius of the larger circle = OD

larger circle area=π*OD^2  

To know the percentage of a large circle we have a small formula:

gray circle area/large circle area--------(3)

=π*OD^2/4/π*OD^2  

=π*OD^2/4*1/π*OD^2=1/4

=25/100

=25%

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The two x-values that the supplied vectors are orthogonal to are 0 and 10 respectively.

A quantity or phenomenon with independent qualities for both magnitude and direction is called a vector.

The term can also refer to a quantity's mathematical or geometrical representation.

Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.

A movement from one point to another is described by a vector. A vector quantity has a magnitude and a direction (size).

There is just magnitude for scalar quantities.

An arrow-labeled line segment can serve as a visual representation of a vector.

So, we have:

xi+2xj and xi - 5j

As is common knowledge, when two vectors are orthogonal, their dot product equals zero, which means:

(xi + 2xj)*(xi-5j) = 0

x*x+2x*-5 = 0

x²-10x = 0

x(x-10) = 0

x = 0 or x - 10 = 0

x = 0 or x = 10

Therefore, the two x-values that the supplied vectors are orthogonal to are 0 and 10 respectively.

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Answer:

a^2 +b^2=c^2

Given vertices of the triangle are A(4,4),B(3,5) and C(−1,−1)

We know that slope of line passing through the points (x 1,y 1) and (x 2,y 2

) is given by m= x 2−x 1

y

2

​

−y

1

​

​

,x

2

​



=x

1

​

Slope of AB i.e.m

1

​

=

3−4

5−4

​

=−1

Slope of BC i.e.m

2

​

=

−1−3

−1−5

​

=

−4

−6

​

=

2

3

​

Slope of CA i.e. m

3

​

=

4+1

4+1

​

=

5

5

​

=1

Clearly, m

1

​

m

3

​

=−1

⇒ line segments AB and CA are perpendicular to each other i.e; the given triangle is right angled at A(4,4).

Thus the points (4,4),(3,5) and (1,1) are the vertices of a right angled triangle.

Step-by-step explanation:

Answer: 5 minutes

Step-by-step explanation:

Answer:

b is 3 mph

Step-by-step explanation:

The diagram below depicts a portion of the food web. letter x no doubt addresses Producers. The diagram below depicts a partial food web, and it is option A.

The letter x probably stands for producers. Producers give humans, other animals, and chickens energy.

Essential makers use energy from the sun to deliver their own food as glucose, and afterward essential makers are eaten by essential buyers who are thus eaten by optional customers, etc, with the goal that energy streams from one trophic level, or level of the natural order of things, to the following.

A producer is an autotrophic creature equipped for delivering complex natural mixtures from basic inorganic particles through the course of photosynthesis.

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Question:

a fractional food web is addressed in the graph beneath. letter x in all probability addresses:

a) producers,

b) carnivores,

c) decomposers,

d) parasites are all examples.

The class that lost the most pencils overall based on the data displayed is D. Mr. Johnson's class; it has a wide spread in the data

The answer is Mr. Johnson's class. The median is the middle value in a set of data. In Mr. Johnson's class, the median is 11 pencils. This means that half of the students in his class lost 11 or fewer pencils, and half of the students lost 11 or more pencils.

In Mr. Simpson's class, the median is 14.5 pencils. This means that half of the students in his class lost 14.5 or fewer pencils, and half of the students lost 14.5 or more pencils.

Since the median for Mr. Johnson's class is lower than the median for Mr. Simpson's class, we can conclude that Mr. Johnson's class lost more pencils overall.

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Answer:

x=5

Step-by-step explanation:

move the constant to the right

calculate

devide both sides

simplify the equation

seperate the solution

(x=5)

Answer:

A = £7.15 per hour

James' average pay per hour this year is £7.15 per hour

Step-by-step explanation:

Given;

Last year pay = £1,100 per month

This year, he's had a 4% increase in his monthly pay

This year pay P = 1,100 + 4% of 1,100 = 1,100 +1,100(0.04)

This year pay P = £1,144 per month

Yearly pay Tp= 12 × P = 12 × £1,144 = £13,728

Number of hours worked this year;

He worked 40 hours per week for 48 weeks in the year

N = 40 hours per week × 48 weeks per year

N = 1920 hours per year

Average pay per hour this year A;

A = Yearly pay/Number of hours worked this year

A = Tp/N

A = £13,728/1920hours

A = £7.15 per hour

James' average pay per hour this year is £7.15 per hour

Answer:

the 2nd one

Step-by-step explanation:

thats what I think sorry if im wrong have a nice day! p.s I remember doing this!

Answer:

  (a)  w = 13

Step-by-step explanation:

You have a regular quadrilateral with interior angle measure (6w+13)°, and you want the value of w to the nearest integer.

A regular quadrilateral is a square. Its interior angles are 90°, so we have ...

  6w +13 = 90

  6w = 77

  w = 12.833...

  w ≈ 13

The value of w to the nearest whole number is 13.

Answer:

(1) 10

(2) 10π

(3) 25π

Step-by-step explanation:

We are given the radius of the circle which is halfway through a circle. The radius of this circle is 5.

We are required to find the diameter, perimeter, and area using the given data we have been provided with.

Let's start:

#1: Diameter

To find diameter \(d\) use formula:

                                               \(d=2*r\)

After substituting  \(r=5\) we have:

                                             \(d=2*5\\d=10\)

After calculating, we have found that the diameter of the circle is 10.

#2: Perimeter

The perimeter can also be known as the circumference of a circle as they both measure the outline.

To find circumference \(C\) use formula:

                                                  \(C=2*r*\pi\)

After substituting \(r=5\) we have:

                                          \(C=2*5*\pi\)

                                           \(C=10\pi\)

Convert \(10\pi\) to a decimal and round it to the nearest tenth and we have:
⇒ 31.4159265359

⇒ 31.4

After calculating, we have found that the perimeter (or circumference of the circle is 10π or 31.4 (Rounded to the nearest tenth in decimal form).

#3: Area

To find area \(A\) use the formula:

                                            \(A=r^2*\pi\)

After substituting  \(r=5\) we have:

                                           \(A=5^2*\pi \\A=25*\pi \\A=25\pi\)

Convert \(25\pi\) to a decimal and round it to the nearest tenth and we have:

⇒ 78.5398163397

⇒ 78.6

After calculating we have found that the area of the circle is either 25π or 78.6 (rounded to the nearest tenth).

After finding all the required information, we have now completed the answer.

The correct value of the product of a and b is 224

Taking the prime factorization of 161 reveals that it is equal to 23*7. Therefore, the only ways to represent 161 as a product of two positive integers are 161*1 and 23*7. Because neither 161 nor 1 is a two-digit number, the only two-digit factor of 161 is 23, we know that a and b are 23 and 7. Because 23 is a two-digit number, we know that a, with its two digits reversed, gives 23.

Therefore, a = 32 and b = 7. Multiplying our two correct values of a and b yields.

The correct product must have been

a*b =32*7

=224

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(a) The number 72% is a D. statistic.

(b) The unknown true percentage of American citizens who like ''real TV'' is a C. parameter.

It is related to statistics and parameters.

(a) The number 72% is a statistic because it represents a summary measure of the sample of individuals who participated in the phone-in poll.

A statistic is a numerical value calculated from a sample of data, and it is used to make inferences about the population from which the sample was drawn.

(b) The unknown true percentage of American citizens who like ''real TV'' is a parameter.

A parameter is a numerical characteristic of a population, such as a mean, proportion, or standard deviation, and it is typically unknown and estimated from sample data.

In this case, the percentage of all American citizens who like ''real TV'' is unknown and cannot be directly observed, so it is considered a parameter.

The phone-in poll only represents a sample of individuals who called in to the newspaper and cannot be used to estimate the parameter for the entire population.

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Answer:

k=5

Step-by-step explanation:

distribute 4 into the parenthesis

4k+72=92

subtract 72 from both sides

4k=20

divide both sides by 4

k=5

536.2  cubic inches  is the volume of a cube with surface area of 396.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given,

\(A=6V^{\frac{2}{3}}\)

A is surface Area ‘A’, in square units, of a cube

V is  volume of cube in cubic units.

We need to find the volume, in cubic inches, of a cube with surface area of 396.

A=396

We need to find V

\(V^{\frac{2}{3} } =A/6\)

=396/6

=66

\(V=66^{\frac{3}{2} }\)

V=536.2  cubic inches

Hence, 536.2  cubic inches  is the volume of a cube with surface area of 396.

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Answer:

18x≤54

Step-by-step explanation:

Jenny can only cut multiples of 18. x represents the number of pieces that Jenny can cut in order to satisfy the condition that she cuts less than or equal to 54 inches of rope total.

Given parametric equations are: $x=5 \tan \theta, y=4 \sec \theta$ The corresponding rectangular equation is found by eliminating the parameter $\theta.$.

First, square the given parametric equations:  Differentiating both the parametric equations .

$x^2 = 25 \tan^2 \theta, y^2 = 16 \sec^2 \theta$

Note that $\sec^2 \theta = \tan^2 \theta + 1.$

This allows us to write the equation:$y^2 - 16 = \frac{16}{25} x^2.$

Simplifying the equation the graph of the curve represented by the parametric equations is shown below: The slope of the graph at can be found using the formula: Differentiating both the parametric equations .

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The formula for sin and cos are opposite side/hypotenuse and adjacent side/hypotenuse respectively.  

Sin and Cos formulae are based on the sides of the right-angled triangle. Along with the tan function, the fundamental trigonometric functions in trigonometry are sin and cos. In contrast to the cosine of an angle, which corresponds to the ratio of the adjacent side to the hypotenuse, the sine of an angle is the ratio of the opposing side to the hypotenuse.

Sine of an angle θ = opposite side/hypotenuse

Cosine of an angle θ = adjacent side/hypotenuse

The figure given in the attachment is a right angled triangle which shows opposite side, adjacent side and hypotenuse side with an angle θ which is specified.

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Answer:

w > -16

Step-by-step explanation: