5. The two quantities A and B are inversely proportional. If A is
5 units, the value of B is 9 units. What is the value of B when
A is equal to 15 units?

The domain of the given function is {2, 29, 44, 54} and the range is {-7, 2, 4}.

The domain of a function represents the set of input values to the function and the range of a function represents the set of output values for the domain of the function.

Domain - {x coordinates of the points in a function}

Range - {y coordinates of the point in a function}

The given function is

f = {(2, 4), (29, -7), (44, 4), (54, 2)}

So, the x coordinates of the function are formulated in a set as {2, 29, 44, 54} and the y coordinates are {-7, 2, 4}

Where output 4 is repeated.

Then, the domain of the function is given by the set {2, 29, 44, 54} and the range of the function is given by the set {-7, 2, 4}.

The mapping of the given function is shown in the figure below.

Learn more about the domain and range of a function at the following link:

https://brainly.com/question/26098895

#SPJ1

After solving the equation the required solution is ∠DHG = ∠EHG

What is angle?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

Given, ∠1 = ∠3

now,

       ∠DHF = ∠1 + ∠2

and, ∠EHG = ∠3 + ∠2

         ∠EHG = ∠1 + ∠2 (As ∠1 = ∠3)

Hence, ∠DHG = ∠EHG

Learn more about angle link below

https://brainly.com/question/25716982

#SPJ1

Answer:

f (-4) = -5

Step-by-step explanation:

Look at the graph and see the y coordinates when x = -4.

Here, when x = -4, y = -5.

Answer:

0.2025 or 20.25%

Step-by-step explanation:

The problem says the probability of ONE person having a Dog is 45%

This is 0.45 in decimal form

But what are the chances TWO random people BOTH have Dogs. The chances would decrease!

To find the probability, you need to multiply the probability of one person by the probability of another person. They both have the same probability of having a Dog.

This looks like:

0.45 (person 1)  × 0.45 (person 2) = 0.2025

The number of times 0.45 is in the equation above is the same number as the people in the problem!

Answer:

[tex]C[/tex]

Step-by-step explanation:

[tex]|2x+2|=10\\\\2x+2=10,2x+2=-10\\\\2x=8,2x+2=-10\\\\x=4,2x=-12\\\\x=4,x=-6[/tex]

The given congruency proof to show that AE ≅ A F is; SSS Congruency Postulate

From the given items, we see that the congruency proofs are;

Statement 1; ΔEBC ≅ ΔFDC

Reason 1; Given

Statement 2; ∠EAC ≅ ∠ECA

Reason 2; Given

Statement 3; ∠FAC ≅ ∠FCA

Reason 3; Given

Statement 4; AE ≅ A F

Reason 4; SSS congruency postulate

Read more about congruency proof at; https://brainly.com/question/17239468

#SPJ1

Answer:

A.

Step-by-step explanation:

since we are using the absolute value this means the result to be between 0 and 3.

the difference to C. is that the endpoints are not included (empty dots). that is correct, because the inequality uses the "<" sign. being equal to 3 is not valid.

but any real number higher than 2 and lower than 8 will provide a valid solution.

the higher or lower numbers used in B. and D. will not create anything between 0 and 3.

Answer:

A

Step-by-step explanation:

The elevation of the cave in feet will be negative 72 feet. Then the correct option is D.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A jumper is at a height of - 18 feet comparative with ocean level. The jumper plunges to an undersea cavern that is 4 times as distant from the surface

The elevation of the cave is given as,

Elevation = - 18 x 4

Elevation = - 72 feet

The elevation of the cave in feet will be negative 72 feet. Then the correct option is D.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

The value of the function g(x) at g = 4 is 18.

Given is a function g(x) as follows -

g(x) = 3x² - 5(x + 2)

We have the following function as -

g(x) = 3x² - 5(x + 2)

For g(4), we can write -

g(4) = 3 x (4)² - 5(4 + 2)

g(4) = 3 x 16 - 5 x 6

g(4) = 48 - 30

g(4) = 18

Therefore, the value of the function g(x) at g = 4 is 18.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ1

The number of elements of set (XUY) = 8

A set is simply an organized collection of distinct objects forming a group and can be expressed in set-builder form or roaster form.

Let X = {x|x is a whole number less than 10} and Y= {-3, -2, 1, 3, 5, 7, 20). .

Means write all the elements in X and Y, then

X = {x|x is a whole number less than 10}

Means write the common elements in X and Y

Y= {-3, -2, 1, 3, 5, 7, 20).

Since there are no common elements in X and Y, then

(XUY) is null set.

The number of elements in (XUY)  is 4 + 4 = 8 elements

Then (XUY) = 8

Learn more about set here;

https://brainly.com/question/29203132

#SPJ1

variability.

In statistics, variability refers to the spread or spread of a data set. It is a measure of how much the data points in the dataset differ from each other and from the mean (mean) of the data.

There are several ways to quantify dataset variability. A common measure of variability is range. This is the difference between the highest and lowest values ​​in the dataset. Another measure of variability is variance. This is a measure of how far the data points are from the mean. Standard deviation is another measure of variability calculated by taking the square root of the variance.

In addition to these measures of variability, there are other statistical techniques that can be used to summarize the spread of datasets, such as Box plot and histogram. These techniques help visualize data variability and identify outliers.

Read more about statistics at:

brainly.com/question/14312911

#SPJ4

Therefore, the perimeter of the irregular shape is 34cm .

Whether it be a two-dimensional shape or a one-dimensional length, a perimeter is a closed path that contains, surrounds, or delineates it. The outermost border of an ellipse or circle is its circumference.

Here,

The perimeter of the irregular shape is

Given:

9 cm is the length of the below line and 4cm , 3cm and x is the length of the above line .

So x value is => 9 = 4 + 3+x

=> 9-7 = x

=>x= 2cm

and

thus we get all the length of the irregular shape

so adding =>

=> 4+2+3+2+3+6+5+9=  34 cm

Therefore, the perimeter of the irregular shape is 34cm .

To know more about perimeter , visit

https://brainly.com/question/6465134

#SPJ1

a) The graph is drawn and attached below by using graphing calculator:

b) The equation of the curve of best fit is y=0.75x

c) The horizontal distance of the ball travelled with this hit is 58.33

d)  It does not touch the hall land on the green.

A relation is shown graphically in a function graph. In set theory and modern mathematics, a function is truly equivalent to its graph. For instance, a codomain should be considered while determining whether or not a function is onto (surjective). A function's graph by itself does not show the codomain.

a) The graph is drawn and attached below by using graphing calculator:

b) The equation of the line of best fit is:

Consider any points from the table,

(0,0) and(30,22.5)

y=mx+c

(0,0)  -----> 0=0+c

c=0

(30, 22.5)

m=0.75

y= (0.75)x

c) The horizontal distance of the ball travelled with this hit is 58.33

d) For 10m ------>5.8m

For 20m ------->x

x=11.6m

For 120m it will be near to the ground,

16.7-11.6

=5.1m

It does not touch the hall land on the green.

To know more about graph, visit:

https://brainly.com/question/17267403

#SPJ1

Answer:

Step-by-step explanation:

f x = (4x/9)

so it will be x into 4x = 9/f

so 4x square = 9/f

Answer: b = -2

Step-by-step explanation:Its Oviedo

Answer:

Step-by-step explanation:

SOOOO you would first start by....

ADDING 5 TO BOTH SIDES

You would get -12 + 36 -1 + 5 = -b

cause

addition is the opposite of subtraction and

now the -5 on the right side will be moved to a plus 5 on the left. This isolates the -b term.

Add up the right side and you get 28 = -b

So next up is a very interesting step.

Multiply both sides by -1, which results in negative terms becoming positive and positive terms becoming negative.

THEREFORE

You get the answer to b = -28

which is none of the answers above

thank me

To calculate the future value of a $7,000 investment with a 2.05% interest rate and quarterly simple interest payments over 9 years, you can use the following formula:

Future value = Principal * (1 + (Interest rate / Number of compounding periods per year)) ^ (Number of years * Number of compounding periods per year)

Plugging in the values given in the question, we get:

Future value = $7,000 * (1 + (0.0205 / 4)) ^ (9 * 4)

This simplifies to:Future value = $7,000 * (1.005125) ^ 36

Using a calculator or spreadsheet to calculate this value, we get:

Future value = $8,414.35

Therefore, the correct answer is [B] $8,414.35.

Answer:

X=34 Y=146

Step-by-step explanation:

3x+19is equal to 4x+14 through this we can look for the value of x which is 34

angles in a straight line add up to 180 and all ready have 34 so we will take 180-34 = 146

Answer: 0.159

Step-by-step explanation:

0.159

The value of a percentage between 11% and 17% is,

⇒ 0.14

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

To find value of a percentage between 11% and 17%.

Now, We can formulate;

The value of a percentage between 11% and 17% is,

⇒ (11% + 17%) /2

⇒ 28% / 2

⇒ 14%

⇒ 0.14

Thus, The value of a percentage between 11% and 17% is,

⇒ 0.14

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ2

To solve the given inequality, the solution is: x < 5. So, the correct answer is option C.

Here,  we can solve the inequality x + 2 > 3x - 8 as follows :

We get 2 on both sides of an inequality by the process of subtraction

or, x + 2 - 2 > 3x - 8 -2

or,  x > 3x -10

We get  10 on both sides of an inequality by the process of addition

or, x +10 > 3x -10 + 10

or, x + 10 > 3x

We get x on both sides of an inequality by the process of subtraction

or, x + 10 -x > 3x -x

or, 10 > 2x

We get 2 into both sides of an inequality by the process of division

or, 5 > x

Therefore, x < 5.

To solve the given inequality, the solution is: x < 5. So, the correct answer is option C.

Read more about Inequalities :

https://brainly.com/question/24372553

Answer:

$860.10

Step-by-step explanation:

If John has 4266 cars, then Noah will have 79 cars

We can solve this question in the following way,

We have been given the condition that John owns 54 times more cars than Noah.

That means,

If Noah owns 1 car, John will own 1*54 = 54 cars

Similarly, if Noah owns 2 cars, John will own 2*54 = 108 cars

This will follow the pattern,

when Noah owns n cars, John will own n*54= 54n cars

In the question, we know that John owns 4266 cars,

That means we know that

54 * n= 4266

We have to calculate how many cars Noah owns, which is n

therefore the value of n will be

n= [tex]\frac{4266}{54}[/tex]

n= 79 cars

Therefore Noah will own 79 cars while John will have 4266 cars.

Read more questions about Ratio and proportion from:

https://brainly.com/question/23724140

#SPJ4

When the rule reads, "Add 12, Subtract 3," and the pattern begins at 41, the sixth number in the pattern is 71.

A pattern is defined in mathematics as a sequence of repeated objects, forms, or numbers. A pattern can be associated with any form of event or object. A pattern has a rule that informs us which items belong to the pattern and which objects do not. Patterns are items that repeat logically, such as vertical stripes on a shirt. They can take the form of numbers, pictures, or forms. A pattern constructed of plastic animals, for example, can alternate between two and four legged creatures, or animals that swim and animals that fly.

Here,

pattern begin at 41,

=41+12

=53

=53-3

=50

=50+12

=62

=62-3

=59

=59+12

=71

The 6th number in the pattern is 71 when the rule says, "Add 12, Subtract 3." and pattern start at 41.

To know more about pattern,

https://brainly.com/question/7043766

#SPJ4

C have dimension of [tex]\frac{L}{T^2}[/tex] in the given equation.

The term "dimension" refers to the power to which the fundamental quantities are magnified in order to express a physical quantity. The letters [M], [L], and [T] stand for mass, length, and time, respectively.

given the equation is:

x = [tex]\frac{1}{2}Ct^2[/tex]

and given that x represents distance and t represents time

as we know Dimension of x id L and dimension of time is T

and according to dimensional analysis dimesion of Left side must be equal to dimension to Right side.

let [x] denote dimension of x

so [x] = [C] [[tex]t^2[/tex]]

as [x] = L and [[tex]t^2[/tex]] = [tex]T^2[/tex]

L = [C] *  [tex]T^2[/tex]

so [C]  = [tex]\frac{L}{T^2}[/tex]

so dimenstion of C is  [tex]\frac{L}{T^2}[/tex]

To know more about dimensional analysis click on below link:

https://brainly.com/question/1769579#

#SPJ4

Answer:

x=45

Step-by-step explanation:

89+112+114+x=360(Sum of angles of a quadrilateral)

315+x=360

x=360-315

x=45

Hope this helps u

According to the normal distribution, 68% of values should fall in one standard deviation from the mean.

The standard deviation and the mean of the provided data must first be determined.

Below are the standard deviation and mean

Mean = (50 + 46 + 54 + 51 + 29 + 52+ 48 + 54 + 47 + 48)/10

Mean x = 47.9

Standard deviation: √∑(x - x')²/(n - 1)

s = √(50 -  47.9)² + (46 -  47.9)² + (51 -  47.9)² + .....+ (48 -  47.9)²)/(9)

s = 7.20

We possess:

x' ± s = (47.9 ± 7.2)

x' ± s = (40.7, 55.1)

The proportion of values that are within 1 standard deviation of that mean is thus:

9/10 * 100 = 90%.

According to the normal distribution, 68% of values should fall in one standard deviation from the mean.

As a result, the percentage of values seen to be within 1 standard deviation of a mean is significantly larger than the percentage a normal distribution would predict.

To know more about the standard deviation, here

https://brainly.com/question/475676

#SPJ4

a) The symbol ≥ is used within the inequality because the lower bound 235 is an acceptable salary.

b) The solution to the inequality is given as follows:

h ≥ 24.

This means that Jake must work at least 24 hours each month, which is represented on the number line shown at the end of the answer.

The inequality in this problem is defined as follows:

7.50h + 55 ≥ 235.

It gives the number of hours that Jake must work to earn at least $253.

The inequality is solved similarly to an equality, isolating the variable of interest. The difference is that the result gives a range of values, instead of a simple value.

The solution is then obtained as follows:

7.50h + 55 ≥ 235

7.5h ≥ 180

h ≥ 180/7.5

h ≥ 24.

More can be learned about inequalities at https://brainly.com/question/9290436

#SPJ1

If the ratio of the number of students and adults in the book fair is 4:3, the new ratio when 169 students left the fair is 4:5, then the number of adults in the book fair is 318

Let the number of students be 4x

Let the number of adults be 3x

When 169 students left the fair, number of students left = 4x - 169

According to question,

(4x-169)/3x = 4/5

⇒ 5(4x-169) = 4×3x

⇒ 20x - 845 = 12x

⇒ 20x - 12x = 845

⇒ 8x = 845

⇒ x = 845/8

⇒ x = 105.625

⇒ x = 106

Number of adults = 3x = 3×106 = 318

To learn more about ratio here

https://brainly.com/question/29477942

#SPJ4

The price of the adult ticket is calculated to be $19 and the price of a child ticket is calculated to be $18.

The price of the​ adult ticket and the price of a​ child ticket can be calculated by using algebraic expressions as follows;

Considering adult ticket price = y and child ticket price = x;

The algebraic equations for tickets can be given as follows;

3y + 4x = $129

2y + 3x = $92

Now we can calculate y as follows;

3y + 4x = 129

3y = 129 - 4x

y = 129 - 4x / 3

Adding this value of y in the second equation as follows;

2y + 3x = 92

2(129 - 4x / 3) + 3x = 92

258 - 8x / 3 + 3x = 92

258 - 8x / 3 = 92 - 3x

258 - 8x = 3(92 - 3x)

258 - 8x = 276 - 9x

9x - 8x = 276 - 258

x = $18

Hence the price of a child ticket is $18 and the price of an adult ticket can be determined as follows;

2y + 3x = 92

2y + 3(18) = 92

2y + 54 = 92

2y = 38

y = 38 / 2

y = $19

Therefore the price of an adult ticket is $19.

To learn more about algebraic expressions; click here:

https://brainly.com/question/4344214

#SPJ4

Answer:

Step-by-step explanation:

E(x) = 791*0.97 - 23600*0.03 = 59.27. The answer is positive so they will make a profit of $59.27 for each policy sold.

However the correct answer is $83. By trial and error.

Answer:

y = 12.50x + 50

Step-by-step explanation:

The linear equation is y=mx + b

b in this one is 50

And the x  or the slope is 12.50