Solve for the unknown value using the equation for the constant of proportionality,

Answers

Answer 1

1) When k = 1.5 and x = 50, the value of y is; y = 75

2) When k = 14 and y = 334, the value of x is; x = 23.84

3) When k = 12 and x = 245, the value of y is; y = 2940

4) When k = 16 and y = 38, the value of x is; x = 2.375


How to solve constant of proportionality?

We are given the equation for the constant of proportionality, as y/x = k

1) When k = 1.5 and x = 50, we want to find the value of y = ?

y/50 = 1.5

y = 50 * 1.5

y = 75

2) k = 14 and y = 334, x = ?. We want to find the value of x. Thus;

334/x = 14

x = 334/14

x = 23.84

3) k = 12 and x = 245, y = ?

y/245 = 12

y = 245 * 12

y = 2940

4) k = 16 and y = 38; x = ?

38/x = 16

x = 38/16

x = 2.375

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Complete question is;

Solve for the unknown value using the equation for the constant of proportionality, y/x = k .Known Values​ Unknown Value​

k = 1.5 and x = 50

y = ?

k = 14 and y = 334, x = ?

k=12 and x=245, y = ?

k = 16 and y = 38; x = ?


Related Questions

Write a function name add that takes two parameter a and b, then return the output of a + b.

Answers

A function name add that takes two parameters a and b and returns the output of a + b is:

def add(a, b):

return a + b

In the function definition, parameters are listed between a set of parentheses and are separated by commas.

A function block begins with the def keyword, followed by the function name and parentheses ( ( ) ). Input parameters should be enclosed in these brackets. You can also define parameters within these brackets.

To create a function with output parameters, we have to follow these below steps.

By returning the resulting tuple: >>> >>> def func1(a, b):

Use global variables.

By passing a mutable (changeable in-place) object:

By passing a dictionary to be modified:

Bundle the value with a class instance.

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In ΔQRS, the measure of ∠S=90°, RS = 3.3 feet, and QR = 9.4 feet. Find the measure of ∠R to the nearest degree.

Answers

Answer:

69

Step-by-step explanation:

2.) Customers left Jill $2.50 as a tip. The tip was 20% of the total. How much was the bill?​

Answers

Answer:

50 was the bill thanks so much for improving my knowledge

Solve the equation: 10 < 2x < x + 9

Answers

Answer: \(5 < x < 9\)

Step-by-step explanation:

\(x+9 > 2x > 10\\\\x+9 > 2x \implies x < 9\\\\2x > 10 \implies x < 5\\\\\therefore 5 < x < 9\)

please help me with math i’ll give you brainlist

please help me with math ill give you brainlist

Answers

Answer: False

Step-by-step explanation:

25% of the data is between Q1 and the median.

5(2x-7)+42-3x=2 what is the answer

Answers

we have the following:

\(\begin{gathered} 5\mleft(2x-7\mright)+42-3x=2 \\ 10x-35+42-3x=2 \\ 7x=35-42+2 \\ x=-\frac{5}{7} \end{gathered}\)

therefore, the answer is -5/7

Please review the following sets of sentences and select the one that contains filler.

A. This Star Wars LEGO set has 305 pieces and includes two minifigures and two droids you can battle against each other.

B. Your kids will love the LEGO Star Wars Republic Fighter Tank and spend hours building it to completion.

C. The set features an opening top hatch with a cockpit where you can place the included Clone Trooper Gunner figure to ready for battle.

D. This set also includes heroes like Obi-Wan Kenobi and Anakin Skywalker, both of whom come fully-equipped with their signature lightsabers and Jedi robes.

Answers

The sentence that contains filler is: D. This set also includes heroes like Obi-Wan Kenobi and Anakin Skywalker, both of whom come fully-equipped with their signature lightsabers and Jedi robes. Option D

In this sentence, the phrase "also includes heroes like Obi-Wan Kenobi and Anakin Skywalker" acts as a filler. The main purpose of this phrase is to provide additional information about the set and highlight the inclusion of popular characters from the Star Wars franchise. It doesn't directly contribute to the core information about the set's features or components.

The other sentences (A, B, and C) provide specific details and descriptions about the LEGO set, such as the number of pieces, minifigures, droids, and features like the opening top hatch and cockpit. They directly convey important information about the set itself without any filler or additional unnecessary information.

In marketing or promotional contexts, fillers are often used to enhance the appeal of a product or create excitement by mentioning well-known or desirable elements that may not be directly relevant to the core features. The filler in sentence D serves to attract fans of Obi-Wan Kenobi and Anakin Skywalker by emphasizing their presence in the set and the inclusion of their iconic weapons and attire.

Option D

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Answer:D

Step-by-step explanation:

A small class has 9 students, 4 of whom are girls and 5 of whom are boys. The teacher is going to choose two of the students at random. What is the probability that the first student chosen will be a boy and the second will be a girl? Write your answer as a fraction in simplest form.

Answers

The probability that the first student chosen will be a boy and the second will be a girl is 0.28.

What is probability?

Probability is also called the chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

Total students = 9

Number of girls = 4

Number of boys = 5

Probability of choosing first boy = Number of boys / total students

⇒ 5/9

Now since 1 boy extract so remaining students = 9 - 1 = 8

Probability of choosing second girl = Number of girls / Total students

⇒ 4//8

Probability of A and B = P(A) × P(B)

Therefore,

The probability that the first student chosen will be a boy and the second will be a girl = (5/9) × (4/8) = 0.28

Hence "The probability that the first student chosen will be a boy and the second will be a girl is 0.28".

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Find a • b. a = <5, 2>, b = <4, 5> (2 points) a <20, 10> b <9, 7> c -10 d 30

Answers

The dot product of vectors a and b is option D. 30.

How did we get the value?

To find the dot product of two vectors, you need to multiply their corresponding components and then sum the results.

Let's calculate the dot product of vectors a = <5, 2> and b = <4, 5>:

a • b = (5 x 4) + (2 x 5)

= 20 + 10

= 30

Therefore, the dot product of vectors a and b is 30.

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Talwar wants to invest R5800 at simple interest rate of 12,2% per annum. How many years will it take for the money to grow to R26100​

Answers

It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

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Write the equation of the horizontal line that goes through the point (2, 4)

Answers

Answer:

y=2

Step-by-step explanation:

Can someone answer this question?

Can someone answer this question?

Answers

The graph of the polynomial function y = f(x) in the xy plane could be the first graph.

Given a polynomial function f.

Range of the polynomial function is the set of all the real numbers less than or equal to 4.

So y values are y ≤ 4

So the vertex of the function will be at y = 4 and other value are less than 4.

So parabola is downwards.

Two options are there with the parabola folded downwards.

Now the zeroes of f are at -3 and 1.

Zeroes of f are the values of x where the function touches the X axis.

Hence the correct graph is first one.

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Which represents a measure of volume?
O 5 cm
O 5 square cm
05 cm
05 cm

Answers

Answer:

5 cm³

Step-by-step explanation:

The correct options to the given question will be:

5 cm³ 5 square cm 5 cm 5 cm²

The volume of a solid is referred to as the space that the figure occupies. The three dimensions are covered and recorded to measure the volume. It is measured by multiplying the length, breadth, and the height of the solid. Since three units are multiplies, therefore the unit of the volume becomes a cubic unit. Usually, the volume is measured in cubic meter or cubic centimetre.

Please someone help me I rlly don’t get this I’ll give you like 40 points

Please someone help me I rlly dont get this Ill give you like 40 points

Answers

Answer:

Step-by-step explanation:

H(n)=91x(-1/7) n-1

do not know

Hope it helps the answer is the 2nd one have a great day

Please someone help me I rlly dont get this Ill give you like 40 points

you have piano lessons every 7 days and tuba lessons every 3 days. Today you have both lessons . in how many days will you have both lessons on the same day again

Answers

Both lessons will be on the same day again after 21 days.

We will determine the least common multiple when two events occur simultaneously.

If I take tuba lessons every third day and piano lessons every seventh day,

Least common multiple of 3 and 7 will be,

Multiples of 3 = 1 × 3

Multiples of 7 = 1 × 7

Least common multiple (LCM) of 3 and 7 = 1 × 3 × 7

                                                                    =21

                                                             

Therefore, I will have both the lessons after 21 days.

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7
It takes
2
yd of ribbon to make a hair bow. How much ribbon is needed to make 7 bows?

Answers

Answer: 14 yrds

Step-by-step explanation: 2 times 7= 14

Select the correct answer from the drop-down menu. The missing term in the denominator is

Answers

Answer: where is the answer choices

Step-by-step explanation:

jurors are randomly selected from a population of 3million residents. Of these 3million​ residents, it is known that 47​%are of a minority race. Of the 13jurors​ selected, 2are minorities.​(a) What proportion of the jury described is from a minority​ race?​(b) If 13jurors are randomly selected from a population where 47​%are​ minorities, what is the probability that 2or fewer jurors will be​ minorities?​(c) What might the lawyer of a defendant from this minority race​ argue?

Answers

Answer:

a) p=0.154

b) P(X≤2)=0.019

c) He can argue that the proportion of minority jurors is not representative of the proportion of that minority in the population.

Step-by-step explanation:

a) The proportion can be calculated dividing the number of jurors that are from the minority race by the total number of jurors:

\(p=X/N=2/13=0.154\)

b) We can model this with a binomial random variable, with sample size n=13 and probability of success p=0.47.

The probability of k minority jurors in the sample is:

\(P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{13}{k}\cdot0.47^k\cdot0.53^{13-k}\)

We have to calculate the probability that 2 or less minority jurors. This can be calculated as:

\(P(x\leq2)=P(x=0)+P(x=1)+P(x=2)\\\\\\P(x=0)=\dbinom{13}{0}\cdot0.47^{0}\cdot0.53^{13}=1\cdot1\cdot0.0003=0.000\\\\\\P(x=1)=\dbinom{13}{1}\cdot0.47^{1}\cdot0.53^{12}=13\cdot0.47\cdot0=0.003\\\\\\P(x=2)=\dbinom{13}{2}\cdot0.47^{2}\cdot0.53^{11}=78\cdot0.221\cdot0.001=0.016\\\\\\\\P(x\leq2)=0.000+0.003+0.016\\\\P(x\leq2)=0.019\)

The probability that 2 or less minority jurors is 0.019.

Work out the missing number in this sum:
6.802 6 + 0.8+___

Answers

Answer: The answer might be 0.002

Step-by-step explanation: Looking at the number made it look like it.

and pls brainliest if I am right

NEED HELP!! I"LL GIVE YOU BRAINLIEST!! Find the value of b. a = 3 and c =12

NEED HELP!! I"LL GIVE YOU BRAINLIEST!! Find the value of b. a = 3 and c =12

Answers

Answer: b = 11.62

Step-by-step explanation:

We can use this formula to solve for b:

\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)

\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)

\(b^2= \sqrt{144-9}\)

= 11.61895004

We can round that to 11.62.

Hope this helped!

"If 54 oranges costs find the cost - Of 3 I
oranges​

Answers

Answer:

Step-by-step explanation:

Cost of 3 oranges = cost of 54 oranges / 18

what would be the answers for these ????

what would be the answers for these ????

Answers

Answer:

Step-by-step explanation: the y would be 50

mark me as brainlest and ill mark you!!

Answers

???? Wait I can’t unless you answer a question

Answer:

Bru-

Is this a question?

Step-by-step explanation:

PLEASE HELP! Find missing side lengths of B and C. Explain

PLEASE HELP! Find missing side lengths of B and C. Explain

Answers

Answer:

b=7 & c=7√2

Step-by-step explanation:

b=7 as it is an isosceles triangle

now using Pythagoras theorem,

(c)^2= (7)^2+(7)^2

⇒(c)^2= 49+49

⇒(c)^2= 98

⇒c= √98

⇒c=7√2

Answer:

b = 7c = 7√2

Step-by-step explanation:

You want the missing side lengths in an isosceles right triangle with one side given as 7.

Isosceles right triangle

The two congruent acute angles tell you this right triangle is isosceles. That means sides 7 and b are the same length:

  b = 7

The hypotenuse of an isosceles right triangle is √2 times the side length:

  c = 7√2

__

Additional comment

You can figure the hypotenuse using the Pythagorean theorem if you haven't memorized the side relations of this "special" right triangle.

  c² = 7² + b²

  c² = 7² +7² = 2·7²

  c = √(2·7²) = 7√2

The side length ratios for an isosceles right triangle (angles 45°-45°-90°) are 1 : 1 : √2.

The other "special" right triangle is the 30°-60°-90° triangle, which has side length ratios 1 : √3 : 2.

A boat is heading towards a lighthouse, where Meena is watching from a vertical
distance of 120 feet above the water. Meena measures an angle of depression to the
boat at point A to be 18º. At some later time, Meena takes another measurement and
finds the angle of depression to the boat (now at point B) to be 44º. Find the distance
from point A to point B. Round your answer to the nearest foot if necessary.

Answers

Answer:

  245 ft

Step-by-step explanation:

The geometry of the problem can be modeled by a right triangle in which Meena's height is the side opposite the angle of depression, and the distance to the boat is the side adjacent to the angle of depression. The mnemonic SOH CAH TOA reminds us of the relation ...

  Tan = Oppsite/Adjacent

__

The more useful trig function for this problem is the inverse of the tangent function, the cotangent. Using that function, we have ...

  cot(angle) = (distance to boat)/(Meena's height)

Then the distance to the boat is ...

  distance to boat = (Meena's height)×cot(angle)

The change in distance from A to B is then ...

  A -B = (120 ft)(cot(18°) -cot(44°))

  = (120 ft)(3.0777 -1.0355) ≈ 245.06 ft

The distance from point A to point B is about 245 feet.

A boat is heading towards a lighthouse, where Meena is watching from a verticaldistance of 120 feet above

How to solve adjacent angles?

How to solve adjacent angles?

Answers

Answer:

D

Step-by-step explanation:

1 + 4x and 57° are corresponding angles and are congruent , so

1 + 4x = 57 ( subtract 1 from both sides )

4x = 56 ( divide both sides by 4 )

x = 14

Given equation of a circle: x^2 – 4x + y^2 + 6y = 12 rewrite it in a standard form. Find its radius and coordinates of its center. Standard Form:_____

r:_____

Center:____

Given equation of a circle: x^2 4x + y^2 + 6y = 12 rewrite it in a standard form. Find its radius and

Answers

Answer:

The standard form is:

(x - h)² + (y - k)² = r², where (h, k) is the center, r is the radius

Convert the given into standard form by completing square:

x² - 4x + y² + 6y = 12x² - 4x + 4 + y² + 6y + 9 = 12 + 4 + 9(x - 2)² + (y + 3)² = 25(x - 2)² + (y + 3)² = 5²The standard form is above.The center is (h, k) = (2, -3)The radius is r = 5

Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line

Answers

Answer is C) it is located between the numbers 2 and 3 on the number line

Explanation

The square root of a number is “what number times itself”

2 x 2 = 4

3 x 3 = 9

7 is between 4 and 9 so C is the correct answer

mations to Determine Similarity
What steps would you take to determine if these
figures are similar? Check all that apply.
Use a scale factor of 2.
Multiply the vertices of polygon ABCD by
O Translate the intermediate image 4 units down.
Perform two different dilations.
Reflect the intermediate image.

Answers

The steps which you would take to determine if these figures are similar include the following:

2. Multiply the vertices of polygon ABCD by 1/2.

5. Reflect the intermediate image.

What is a dilation?

In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.

By critically observing the graph representing polygon ABCD, we can logically deduce that a sequence of transformations that would polygon ABCD (pre-image) onto polygon A"B"C"D" (image) is a dilation by a scale factor of 1/2 and a reflection of intermediate image.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

mations to Determine SimilarityWhat steps would you take to determine if thesefigures are similar? Check

In 3x + 5y - 6 the coefficient of y is ?

In 3x + 5y - 6 the coefficient of y is ?

Answers

The coefficient is the number on the variable. So the answer is 5
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