A function that consists of 5 connected line segments. From left to right, segment 1 begins at the origin and is horizontal, segment 2 goes up, segment 3 goes down, segment 4 goes back up, and segment 5 is horizontal. Select all the intervals over which this function is increasing. Interval 1 Interval 2 Interval 3 Interval 4 Interval 5

The percentage of total budget for insurance, housing and entertainment is 3%. 13.3% and 4% respectively.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

The total budget given is $4100 for the month.

The percentage of total budget for insurance is:

123/ 4100 (100) = 3%

The percentage of total budget for housing is:

574/ 4100 (100) = 13.3%

The percentage of total budget for entertainment is:

164/4100 (100) = 4%

Hence, the percentage of total budget for insurance, housing and entertainment is 3%. 13.3% and 4% respectively.

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Answer:

-0.04ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answer:

1/-25

Step-by-step explanation:

First we plug it in

-(-5)^-2

Then since the exponent is negative, we take the equation and put it under one which makes it a positive.

1/-(-5)^2

Then we solve the exponent

1/-(25)

Since it's a negative outside the parenthesis we treat it as multiplying it by -1 in which case we'd get

1/-25

Answer:

3 * 15 - 12 = 33   So, the equation is saying that the result of 3 times 15 minus 12 is equal to 33.

Step-by-step explanation:

Let's call the number of 7th graders "x". Then, the number of 8th graders is 3 * x - 12.

The total number of students in the student council is 48, so we can set up an equation:

x + (3 * x - 12) = 48

Expanding and simplifying:

4x - 12 = 48

Adding 12 to both sides:

4x = 60

Dividing both sides by 4:

x = 15

So, there are 15 7th graders and 3 * 15 - 12 = 33 8th graders in the Kennedy Middle School student council.

Answer: 36 8th graders and 12 7th graders

Step-by-step explanation:

48-12=36

36 divided by 3=12

With this information, 12 7th graders and 36 8th graders

The gross pay based on the given information is $372.

Gross Salary is the amount of salary after adding all benefits and allowances but before deducting any tax, Net Salary is the amount that an employee takes home.

Given that, regular hours worked: 40 and overtime hours worked: 8.

Regular rate of pay: $7.75 per hour

So, gross pay = 40×7.75+8×7.75

= $372

Therefore, the gross pay is $372.

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Answer:

Hi! The answer is $591,013

aka D!

Step-by-step explanation:

A capital asset is property that is expected to generate value over a long period of time, such as a building, machinery, and vehicles.

Seth must attend the move 17 times

The difference in price of matinee is

= price of matinee normally - price of matinee with movie pass

=  3.50 - 1

= 2.5

We divide to find the number of times

= 40 / 2.5

= 16

In other that Seth's father benefits Seth must attend at least 17 times

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Answer:

x = -3.

Step-by-step explanation:

2x - 9 = 5x

2x - 5x = 9

-3x = 9

x = -3.

From the data analytics of this table, the right statements are A,C and D.

In mathematics, data is a collection of facts and figures that can take any shape, whether it be numerical or not. You can calculate numerical data, which is always gathered in number form and includes things like student test results, employee salaries, football team member heights, etc.

Given in the table of students which are watching movies or not

         Yes       No      Total

Boys    6          8          14

Girls     9          7          16

Total    15        15         30

Statement (A): 27% of sampled students are boys who did not watch a movie?

27% of total students = 27 * 30/100

= 810/100

≈ 8 boys

So the statement (A) is true.

Statement (B): 30% of sampled girls watched a movie?

30% of sampled girl = 30 * 16/100

= 480/100

≈ 5 girls

So the statement (B) is false.

Statement (C): 50% of sampled students did not watch a movie?

50% of total students = 50 * 30/100

= 1500/100

= 15 students

So the statement (C) is true.

Statement (D): 57% of sampled boys did not watch a movie?

57% of total students = 57 * 14/100

= 798/100

≈ 8 boys

So the statement (D) is true.

SO that, the right statements are A,C and D.

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Answer:

see below

Step-by-step explanation:

shift B right by 4units & up by 2 units to have point B overlap point A so the 2 circles center will be overlapped

The number of gold won by Korea is 12

The number of gold won by Italy is 13

The number of gold won by France is 15

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of gold won by Korea = x

Number of gold won by Italy = x + 1

Number of gold won by France = x + 2

Now,

The total number of gold medals won by these three countries is three consecutive integers whose sum is 39.

This means,

x + x + 1 + x + 2 = 39

3x + 3 = 39

3x = 39 - 3

3x = 36

x = 12

Thus,

Number of gold won by Korea = 12

Number of gold won by Italy = 13

Number of gold won by France = 15

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Answer:

the coefficient of 0 indicates that there is no relationship between the two values

Answer:

Only can do the first one

Let's call the measures of the angles in the triangle x, 3x, and 4x.

According to the ratio, we have:

x : 3x : 4x = 8 : 3 : 4

To find the value of x, we can set up a proportion:

8/x = 3/(3x) = 4/(4x)

Cross multiplying, we get:

8x = 12

So, x = 12/8 = 3

Therefore, the measures of the angles in the triangle are 3x, 3(3x), and 4(3x).

The measure of the largest angle is 4x = 4(3) = 12.

The initial value is 2000

The constant percentage growth rate is 20%

The growth factor is 1.2

Exponential function is a type of function of the form: f(x) = a(b)^x. It is made up of  3 main parts

a = the starting or initial value

b = the base function

x = the exponents

Considering the given problem, P = 2000(1.2)^t

the initial value = 2000

the base = 1.2

the exponents = t

The base is what says whether it will be an exponential growth or decay. For values of the base greater than 1 is exponential growth

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Answer: it is called a parabola

Step-by-step explanation:

There are a total of 5 distinct rectangles that can be formed whose area is equal to 5 times the numerical value of the perimeter.

The area of a rectangle is given by:

A = L*W, where L- length of rectangle and W- width of rectangle,

The perimeter of a rectangle is given by:

P = 2*(L + W)

Since area of rectangle in square units is equal to 5 times the numerical value of the perimeter of the rectangle, on substituting the perimeter in terms of the area, we get:

P = 2(L + W) = 2( √(A/5) * √(5A))

Since the length of the sides must be integers, the possible values of area can be 5, 25, 125, and so on.

For each value of A, there can only be one possible rectangle that is formed. Therefore, only 5 distinct rectangles with integer side lengths that can be formed which meets the provided criteria.

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Dana is not correct, she has done mistake in the second step.

An expression is combination of variables, numbers and operators.

The given expression is 45 [(4 + 3) (60 ÷ 12 - 2)]

45 [(4 + 3) (60 ÷ 12 - 2)]

The first step is  45 [7 (60÷ 10)], it is correct

The second step 45- [7.6] is wrong because 45 is a multiple of [7 (60÷ 10)]

45(42)

When we multiply 45 with 42 we get

1890

Hence, Dana is not correct, she has done mistake in the second step.

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Answer:

288

Step-by-step explanation:

175 times 100 divided by 55 = 320

320 times .9 = 288

Answer: your answer would be 288

Step-by-step explanation:

You should advise her to divide the three hours into smaller, more manageable study sessions with breaks in between for maximum productivity and retention.

When studying for an exam, it's important to prioritize effectiveness over efficiency. Spending three hours straight on studying can lead to burnout and decreased retention. Instead, you can suggest dividing the time into shorter, more manageable study sessions of 50–60 minutes with 10-15 minute breaks in between. This way, your friend can focus on one topic at a time, recharge during the break, and avoid mental fatigue.

It's important to encourage your friend to take care of their physical and emotional well-being by eating well, getting enough sleep, and finding ways to reduce stress. These habits can help improve their overall focus and performance during their study sessions.

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The slope-intercept form of the equations are y = -2x/3 + 3 and y = 3x/2 + 4 and the line are perpendicular to each other.

The meaning of slope intercept form is the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.

Given that two equations, we need to find their slope intercept form, and determine if the lines are parallel, perpendicular, or neither (intersecting).

The given equations are;

A) 2x + 3y = 9

B) 2y - 3x = 8

The general equation of a line, in a slope intercept form, is given by,

y = mx + c, where m is the slope of the line and c is the y-intercept,

A) 2x + 3y = 9

3y = 9-2x

y = -2x/3 + 3....(i)

B) 2y - 3x = 8

2y = 3x+8

y = 3x/2 + 4.....(ii)

Here, the slope are -2/3 and 3/2, we can say that both the slopes are negative reciprocal of each other,

We know that slopes of two perpendicular lines are negative reciprocal of each other,

Therefore, the given two line are perpendicular to each other.

Hence, the slope-intercept form of the equations are y = -2x/3 + 3 and y = 3x/2 + 4 and the line are perpendicular to each other.

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Answer c

w = 81°, because 180 – (42 + 39) = 99 and 180 – 99 = 81

Step-by-step explanation:

The statement which true about the triangle is a) w = 99°, because 42 + 39 = 81 and 180 – 81 = 99.

A triangle is a shape consisting of 3 sides and 3 vertices (180º total) of a straight line. As early as 300 BC, Euclid had come up with the concept that the sum of three angles is 180°. This makes great contributions to the concept of shapes, such as finding the lengths of their sides and angles.

A triangle is a polygon with three sides and three vertices. It is one of the basic shapes in geometry with vertices A, B and C represented as triangle ABC.

In Euclidean geometry, every three points define a unique triangle and a unique plane (that is, two-dimensional Euclidean space) when they do not collide. In other words, only one plane contains its sides, and every triangle contains many faces. If the whole geometry is just Euclidean planes, there is only one plane and everything is contained within it; however, in high-dimensional Euclidean space, this is no longer true.

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the Estimated number of rabbits will be 80 in the year 2016.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Given a table of Rabit at a zoo in the table below,

2008 14

2009 24

2010 30

2011         39

2012 45

2013 57

M: 2010.5 M: 34.8333

To estimate the number of rabbits in the zoo in 2016 we need to find the linear equation;

Sum of X = 12063

Sum of Y = 209

Mean X = 2010.5

Mean Y = 34.8333

Sum of squares (SSX) = 17.5

Sum of products (SP) = 143.5

Regression Equation = ŷ = bX + a

b = SP/SSX = 143.5/17.5 = 8.2

a = MY - bMX = 34.83 - (8.2*2010.5) = -16451.26667

ŷ = 8.2X - 16451.26667

For x = 2016

y =  8.2* 2016 - 16451.26667

y = 79.933 or 80

therefore, the Estimated number of rabbits will be 80 in the year 2016.

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Complete question:

The equation d = (100/3)h models the amount in dollars, d, Troy charges when it take him, h, hours to mow a lawn.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x – 5 = 16 is an equation.

Given,

Troy charges $50 to mow the lawn that  took him 1.5 hours to mow

Charges are proportional to time.

If charges are d and time is h

then,

Ratio of Charges to time

⇒ d/h = 50/1.5      

⇒ d/h = 100/3

⇒ d = (100/3)h

Hence, d = (100/3)h is the equation that can be used to calculate the amount with time.

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As per the concept of permutation 100 out of the 800 students at the college live on campus and are 20 years old or less.

A permutation is the arrangement of objects in a specific order. In this problem, we are trying to find the number of students who live on campus and are 20 years old or less.

From the information given, we know that 250 students live on campus and are more than 20 years old. If there are 800 students in total at the college, then the number of students who are not living on campus is

=> 800 - 250 = 550.

We also know that 640 students at the college are more than 20 years old. This means that the number of students who are 20 years old or less is

=> 800 - 640 = 160.

Finally, we know that 60 students at the college are 20 years old or less and live off campus.

So, the number of students who live on campus and are 20 years old or less is

=> 160 - 60 = 100.

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The probability that a consumer will obtain a satisfactory plumbing job given that the plumber was Plumber A is 0.75.

To find the probability that a consumer will obtain an unsatisfactory plumbing job given that the plumber was Plumber A, we first need to determine the proportion of plumbing jobs done by Plumber A that result in consumer dissatisfaction.

Given that half the complaints dealt with Plumber A and that Plumber A does 40% of the plumbing jobs in the town, we can calculate this proportion as follows:

Proportion of unsatisfactory plumbing jobs done by Plumber A = (Half the complaints / Total number of plumbing jobs done by Plumber A)

= (Half the complaints / 40% of the total plumbing jobs in the town)

= (Half of 10% / 40%)

= 10% / 2 / 40% = 1 / 4 = 0.25

Therefore, the probability that a consumer will obtain an unsatisfactory plumbing job given that the plumber was Plumber A is 0.25.

To find the probability that a consumer will obtain a satisfactory plumbing job given that the plumber was Plumber A, we subtract the probability of obtaining an unsatisfactory plumbing job from 1:

Probability of a satisfactory plumbing job given that the plumber was Plumber A = 1 - Probability of an unsatisfactory plumbing job

= 1 - 0.25

= 0.75

Therefore, the probability that a consumer will obtain a satisfactory plumbing job given that the plumber was Plumber A is 0.75.

In conclusion, given that Plumber A does 40% of the plumbing jobs in the town and that half the complaints dealt with Plumber A, the probability that a consumer will obtain an unsatisfactory plumbing job given that the plumber was Plumber A is 0.25, and the probability that a consumer will obtain a satisfactory plumbing job given that the plumber was Plumber A is 0.75. These probabilities can be used to make informed decisions about which plumber to choose for plumbing jobs in the community.

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A possible reason for the strong positive correlation is high levels of rainfall. (fourth option)

Correlation is a measure used in statistics to measure the linear relationship that two variables have.

When two variables have a positive correlation, it means that the two variables move in the same direction. In this question, the number of umbrellas sold increase when water levels in streams increase. An reason for this could be that the increased water levels lead to higher rate of rainfall which would lead to people buying more umbrellas.

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5 more than a number is greater or equal to 27

The "number" can be represented as x.

[tex]\boxed{x+5\geq 27}[/tex]

Each guest being assigned to bring an item to the party is an example of a function because a unique output (the item to bring) is assigned to each input (the guest).

In this case, each guest is the input, and the item they are assigned to bring is the output. Each guest is assigned exactly one item, and there are no two guests assigned to bring the same item. This means that for each guest, there is a unique item that they are assigned to bring, and no two guests are assigned to bring the same item.

Therefore, the assignment of guests to items to bring to the dinner party is an example of a function because it assigns a unique output (the item) to each input (the guest), and it meets the mathematical definition of a function.

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The most specific shape is rhombus for the co-ordinates A(8,3) B(7,8) C(2,7) D(3,2).

A rhombus is one type of parallelogram and has 4 sides and 4 vertices.

Every side is equal in length and opposite angles are equal.

We have four co-ordinates,

A(8,3) B(7,8) C(2,7) D(3,2).

The length of the segment AB = √{(8 - 7)² + (3 - 8)²} = √26 units.

The length of the segment BC = √{(7- 2)² + (8- 7)²} = √26 units.

The length of the segment CD = √{(2 - 3)² + (7 - 2)²} = √26 units.

The length of the segment AD = √{(8 - 3)² + (3 - 2)²} = √26 units.

That means, all the sides are equal.

Now, let the slope of AC = slope of BD

(7 - 3)/(2 - 8) ≠ (2 - 8)/(3 - 7)

The slope of the diagonal is not equal.

Therefore, the shape is rhombus.

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The mean absolute deviation of the numbers will be 3.5.

The average distance between the data points and a centre point is referred to as absolute deviation. (|xi - x|)/N is the formula for mean absolute deviation. N is the number of terms in the sample, where xi is the sample's individual value and x is the sample's mean or average.

Mean = ( 4 + 15 + 8 +4 + 6 + 11 + 1 + 7 + 3 1 ) / 10

Mean = 57 / 10

Mean = 5.7

The mean absolute deviations are calculated as:-

[tex]MAD = \dfrac{\sum{(X - \bar X)}}{n}[/tex]

MAD = 34 / 10

MAD = 3.4

Hence, the value of the mean absolute deviation is 3.4.

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The value of function at x = - 2 is, 4

The value of function at x = 0 is, 6

The value of function at x = 5 is, 11

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The function is,

⇒ f (x) = x + 6

Now, Substitute x = -2 in above equation,

⇒ f (x) = x + 6

⇒ f (-2) = -2 + 6

⇒ f (-2) = 4

Substitute x = 0 in above equation,

⇒ f (x) = x + 6

⇒ f (0) = 0 + 6

⇒ f (0) = 6

Substitute x = 5 in above equation,

⇒ f (x) = x + 6

⇒ f (5) = 5 + 6

⇒ f (5) = 11

Thus, The value of function at x = - 2 is, 4

The value of function at x = 0 is, 6

The value of function at x = 5 is, 11

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