Determine o valor das letras para que a sequencia 4,8,a,18 seja inversamente proporcional a sequencia 54,b,24,c

Answers

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The values of the letters are:  a = k / (648b), b = k / (1296c), c = k / (1296b) and 24c = k / (576a).

To determine the value of the letters in the given sequences, we need to first recall the formula for inverse proportionality, which states that the product of the terms in one sequence is equal to the constant value of the product of the terms in the other sequence. Mathematically, we can represent this as:

4 x 8 x a x 18 = k = 54 x b x 24 x c

Here, k is the constant of proportionality. To find the value of the letters, we can solve for them algebraically. First, we can simplify the equation by dividing both sides by 4 x 18 x 24:

a = k / (4 x 8 x 18 x 24 / 54 x b x c)

a = k / (6b c)

Next, we can substitute the given values of the sequence into the equation and simplify:

a = k / (6b c) = k / (648b)

Multiplying both sides by 648b, we get:

648b a = k

Similarly, we can solve for the values of the other letters as follows:

b = k / (54 x 24 x c) = k / (1296c)

24c = k / (4 x 8 x a x 18) = k / (576a)

c = k / (54 x b x 24) = k / (1296b)

Therefore, the values of the letters are:

a = k / (648b)
b = k / (1296c)
c = k / (1296b)
24c = k / (576a)

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Related Questions

Solve:
5(n — 3) = 30

Answers

Answer:

n = 9

Step-by-step explanation:

5(n-3) = 30

Expand the brackets. (Multiply n by 5 then multiply -3 by 5.)

5n-15 = 30

Isolate 5n.

5n = 30+15

Evaluate.

5n = 45

Find n.

n = 45 ÷ 5

n = 9

Answer:

n = 9

Step-by-step explanation:

1) divide both sides by 5 to cancel it out

       (n-3=6)

2) add 3 to each side to cancel out the -3

       (n=9)

You could factor the 5 to get 5n-15=30 but dividing by 5 just makes the number easier

What is the value of b?

What is the value of b?

Answers

answer is b=16

hope that helped loll

Answer:

I got you

Step-by-step explanation:

The answer is 32

please help me

No guess ​

please help me No guess

Answers

Answer:

C. -7 or C. Negative seven

The answer is -7 I hope

Which statement about this system of equations is true?

Which statement about this system of equations is true?

Answers

Answer:

A the system has no solution

Step-by-step explanation:

Answer:

A - because lines are parallel

Step-by-step explanation:

A researcher is interested in the effects of room color (yellow, blue) and room temperature (20, 24, 28 degrees Celsius) on happiness. A total of 120 university students participated in this study, with 20 students randomly assigned to each condition. After sitting for 30 mins. in a room that was painted either yellow or blue, and that was either 20, 24, or 28 degrees, students were asked to rate how happy they felt on a scale of 1 to 15, where 15 represented the most happiness.
The results are as follows:
temperature room color happiness
20 yellow 12
24 yellow 10
28 yellow 6
20 blue 4
24 blue 4
28 blue 4
B) What is the name given to this type of design?

Answers

The name given to this type of design is a factorial design. A factorial design is a design in which researchers investigate the effects of two or more independent variables on a dependent variable.

In this study, two independent variables were used: room color (yellow, blue) and room temperature (20, 24, 28 degrees Celsius), while the dependent variable was happiness.

Each level of each independent variable was tested in conjunction with each level of the other independent variable. There are a total of six experimental conditions (two colors × three temperatures = six conditions), and twenty students were randomly assigned to each of the six conditions.

The researcher then examined how each independent variable and how the interaction of the two independent variables affected the dependent variable (happiness). Therefore, this study is an example of a 2 x 3 factorial design.

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What is the missing length of this rectangle?

What is the missing length of this rectangle?

Answers

answer:
5ft

explanation:
9ft - 4ft = 5ft


\(12 \frac{3}{6} + 14\frac{4}{6} \)
i don't know what's the answer i been trying it this but i can't​

[tex]12 \frac{3}{6} + 14\frac{4}{6} [/tex]i don't know what's the answer i been trying it this but i

Answers

27 1/6 or 163/6 or 27.16

Answer:

27 1/6

Step-by-step explanation:

14 + 12=26

4+3=7

26 7/6= 27 1/6

which function represents the data

Answers

There is nothing attached
Where is the photo????

a courier service company wishes to estimate the proportion of people in various states that will use its services. suppose the true proportion is 0.06. if 221 are sampled, what is the probability that the sample proportion will be greater than 0.1? round your answer to four decimal places.

Answers

The probability that the sample proportion will be 0.104.

What is Probability?
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something has been likely to happen is basically what probability means. You will learn the potential outcomes for just a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total list of answers is necessary before we can calculate the likelihood that a specific event will occur.

Given that

p= 0.06

1 - p = 1 + 0 * 6 = 0 * 94

n = 221

p' = p = 0.06

sigma( p) = \(\sqrt{\frac{P(1 - P))}h{} }\)

= \(\sqrt{\frac{0.06*0.94}{221} }\)

=0.0159

p( p' > 0.1 )=1-p( p' <0.1)

= 1 - p(z < 2.51)

=1- .896

= 0.104

Hence the Probability will be 0.104

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PLEASE HELP brainly will be given!

PLEASE HELP brainly will be given!

Answers

Answer:

SSS

Step-by-step explanation:

the corresponding sides of the triangles are proportional to each other

Which angle is an exterior angle?





Which angle is an exterior angle?kig

Answers

Answer:

k

Step-by-step explanation:

if it takes you 2 hours to shape 48 baguettes, how many could you make in 30 minutes? how long would it take for you to make 1 baguette?

Answers

Answer:

12.  & 2.5mins

Step-by-step explanation:

2 hours = 120 mins for 48 baguettes.  so 120/48 = 2.5 mins per baguette

30 mins is 1/4 of 2 hours. so 12  baguettes

Hazing has been reported all across america. What percentage of students say they have witnessed hazing and did not report it?.

Answers

percentage of students say they have witnessed hazing and did not report it are  = 95%

What is Hazing?

No matter how voluntarily a person is to take part, hazing, initiation or deposition are all actions that are demanded of someone when they join or participate in a group and which humiliate, degrade, abuse, or imperil them.

involves humiliating a person or group. involves making fun of someone or something. involves or includes the deliberate destruction of or removal of private or public property for the purpose of affiliation with, initiation into, or as a requirement for continuing membership in an organization.

What is an example of hazing?

Paddling, beating, or other types of attack. Branding. consumption of disgusting substances or mixtures under duress or force.

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What is the domain of the relation {(0,4), (4,9), (5,2), (10,4)}
a. 0, 2, 9, 10
b. 0, 2, 4, 10
c. 0, 4, 9, 10
d. 0, 4, 5, 10

Answers

Answer:

The domain is the set of all the values of x .

The range is the set of all the values of y.

Domain:

{0,4,5,10}

Range:

{4,9,2}

Step-by-step explanation:

your answer is is from an algebra solver called mathwey but an a instead of  an e it solves everything i promise i use it all the time

What value does the chance model assert for the long-run proportion?

Answers

The chance model asserts that the long-run proportion of an event is equal to the probability of that event. In other words, if we repeatedly conduct an experiment under the same conditions, the proportion of times that the event occurs over the long run should converge to the probability of the event.

For example, if we flip a fair coin many times, the chance model asserts that the proportion of heads should approach 0.5 as the number of coin flips increases. This is because the probability of flipping heads on a fair coin is 0.5, and over the long run, the proportion of heads should converge to this probability.

The chance model is a fundamental principle in probability theory, and it is used to make predictions about the outcomes of random events. It provides a way to quantify the uncertainty associated with an event and to reason about the likely outcomes of an experiment.

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whats the angle of J

whats the angle of J

Answers

Answer:

<J = 59

Step-by-step explanation:

Since this is an isosceles triangle, <J and <H are the same

The sum of the angles in a triangle are 180

62+ <J + <H =180

62+ <J + <J = 180

62 + 2 <J =180

Subtract 62 from each side

2 < J = 180-62

2 < J = 118

Divide by 2

<J =118/2

<J = 59

Answer:

∠J = 59 °

Step-by-step explanation:

Its two angle is equal so, it is isosceles triangle.

so, ∠J and ∠H are same.

We know that sum of angles of triangle is 180°.

∠J = ∠H .. ( in isosceles triangle two side are equal).

so, ∠J = ∠J

62° + ∠J + ∠ J = 180°

combine like terms

62° + ∠2J = 180°

Subtract 62 from each side

62° - 62° + ∠2J = 180° - 62°

∠2J = 118°

Divide each side by 2

∠2J/2 = 118° / 2

∠J = 59 °

Verification :-

∠J + ∠H + 62° = 180°

59° + 59° + 62° = 180°. .( ∠J =∠H - proved above)

118° + 62° = 180°

180° = 180°

LHS = RHS

a regular pentagon ABCDE is shown work out angle x

Answers

Answer:

108 degrees inside each corner

Step-by-step explanation:

360/5=72

180-72=108

A square playground has sides that each measure 120 feet in length.
On a scale drawing, 1/4 inch represents 5 feet on the playground.
How long is a side of this playground on the scale drawing?

Answers

6 inches because there would be 24 of the 1/4 inch segments

The diagram shows a circle with centre O.
A & B lie on the circumference of this circle.
Given that ∠OAB = 40°, evaluate ∠AOB.

Helppp ASAP

The diagram shows a circle with centre O. A &amp; B lie on the circumference of this circle. Given that

Answers

As angle OAB =40-degree, angle AOB is 100 degrees according to the properties of circle and triangle.

What are the properties of circle?

Some Properties of circle are distance from center of the circle to each point on the circumstances are equal. hence, OA=OB

Diameter is twice of radius.

What is isosceles triangle?

The triangle having two equal side length is called isosceles triangle. In the figure, triangle OAB is an isosceles as OA=OB=radius

According to the criteria of isosceles triangle angle OAB =OBA =40°

hence, angle AOB= 180 degrees - (40°+40°) [angle sum of triangle =180°]

                  angle AOB= 100 degrees.

We get, AOB = 100 degrees

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plz help assap!!!!!!​

plz help assap!!!!!!

Answers

Answer:

3y = 60°, 2y = 40° ,     4x = 104°, x = 26°, y = 50°

Step-by-step explanation:

Triangle g

180° = 80° + 3y + 2y

100° = 5y

y = 20°

Triangle h

y = 180° - 130°

y = 50°

180° = 4x + x + 50°

130° = 5x

x = 130 / 5

x = 26°

Help me on this one please

Help me on this one please

Answers

Answer:

Choice D

Step-by-step explanation:

Choices A and B does not imply Dilation but Translation. Though Choice C implies Dilation, but it implies that \(\triangle J'K'L'\) is half the size of \(\triangle JKL\) but we can see that \(\triangle J'K'L'\) is larger than \(\triangle JKL\) so Choice D.

In an orchard, there are 12 apple trees, 24 orange trees, and a cherry tree. What is the ratio of orange trees to cherry trees?

Answers

Answer:  24:1

Step-by-step explanation:

In the first step, you have to acknowledge how many of each tree there are in the question asked.

There is one cherry tree and 24 orange trees.

So the ratio of orange trees to cherry trees would be 24:1

At which angle will the hexagon rotate so that it maps onto itself?

60°
90°
120°
180°

Answers

Answer:

The angle of rotation is 60°

In order for a hexagon to rotate such that it maps onto itself, it will have to rotate at a 60°.

What angle will lead to a hexagon mapping onto itself?

There are 6 interior angles in a hexagon and because it is a regular polygon. each angle is:

= 360 / 6

= 60°

When the hexagon rotates by this 60° as a result, it would map onto itself.

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Ja'hones has pizza dough for making pizza. she separates the dough into three portions
listed below.

Portion A is 8.25 ounces
Portion B is twice as much as portion A
Portion C is twice as much as portion B

What is the weight, in ounces, of portion B and the weight, in ounces, of portion C?

Answers

Answer:

Portion B is 16.5 ounces.

Portion C is 33 ounces.

Step-by-step explanation:

Portion B.

8.25 * 2 = 16.5

Portion C.

16.5 * 2 = 33

Hope this helps! :)

(1/2 + 3/2)² + (2/3 x 1/2)³

Answers

The result of the mathematical expression given as follows: (1/2 + 3/2)² + (2/3 x 1/2)³ is 5.59 or 5⅔.

How to calculate mathematical expressions?

According to this question, the following expression is given to solve: (1/2 + 3/2)² + (2/3 x 1/2)³

First, we solve the both parts as follows:

½ + 3/2 = 2⅔ + ½ = 1..16

Next, we solve the exponential function as follows:

= (2)² + (1.16)³

= 4 + 1.59

= 5.59 or 5⅔

Therefore, the result of the mathematical expression given as follows: (1/2 + 3/2)² + (2/3 x 1/2)³ is 5.59 or 5⅔.

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baby blender, a blender used to liquify food for babies, wants to gauge the response of customers to the newest version of its product. in order to do so, the marketing team at baby blender restricts the respondents to mothers with children under the age of one. this scenario exemplifies multiple choice quota sampling. descriptive research. simple random sampling. snowball sampling. causal research.

Answers

The likes and dislikes of the people is given the priority and the product is altered according to the taste of the consumers , in order to increase the sale of the product .

It refers to the method of sampling , where the data or information is collected from a certain specified group of people , is referred to as quota sampling .

The method is helpful for marketing the goods and services of the company .

The likes and dislikes of the people is given the priority and the product is altered according to the taste of the consumers , in order to increase the sale of the product .

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Find the area of the circle.
Use 3.14 for π. Do not round your answer.
12 in.
Area [?] inches²
:
=
Hint Area = πr²
Enter

Find the area of the circle.Use 3.14 for . Do not round your answer.12 in.Area [?] inches:=Hint Area

Answers

The area of the circle is 452.16 square inches

Area is the the total surface that is occupied by a two dimensional shape

The radius of the circle = 12 inch

The radius of a circle is the distance between the center and any point on the circumference of the circle

The area of the circle A = π×\(r^2\)

Where A is the area of the circle

r is the radius of the circle

π = 3.14

substitute the values in the equation

The area of the circle = 3.14 × \(12^2\)

= 3.14 × 144

= 452.16 square inches

Hence, the area of the circle is 452.16 square inches

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821 X ______ = 8,210

Answers

the answer to this is 10, have a great day :)

The table shows the results of a survey of 200 randomly selected people on whether they like watermelon, cantaloupe, or both. A 4-column table with 3 rows. The first column has no label with entries cantaloupe, not cantaloupe, total. The second column is labeled watermelon with entries 93, 66, 159. The third column is labeled not watermelon with entries 16, 25, 41. The fourth column is labeled total with entries 109, 91, 200. Which is the marginal relative frequency for the people who do not like cantaloupe? StartFraction 25 Over 91 EndFraction StartFraction 66 Over 200 EndFraction StartFraction 91 Over 200 EndFraction StartFraction 66 Over 91 EndFraction.

Answers

Answer: 91/200

Step-by-step explanation: i got it right on the quiz.

Answer:

C

Step-by-step explanation:


What is √45 rounded to the nearest whole number

Answers

exact form: 3√5

decimal form: 6.70820393…

nearest whole number: 7

Answer:

3√5

Step-by-step explanation:

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