Enter a formula using k to connect the two
variables.
y is proportional to x³

Answers

Answer 1

Directly proportional to x.

What is propotionality?In algebra, proportionality is the equality of two ratios. A and B are in the same ratio as C and D in the formula a/b = c/d. When one of a proportion's four quantities is unknown, a proportion is often built up to resolve the word problem. By multiplying one numerator by the opposing denominator and equating the result to that of the other numerator and denominator, the equation can be solved. Any relationship that has a constant ratio is said to be proportionate. For instance, the ratio of proportionality is the average number of apples per tree, and the amount of apples in a crop is proportional to the number of trees in the orchard.

Acc to our question-

If two variables' ratios (yx)(x and y) have the same value as a constant (k=yx)therefore the ratio's variable (y) in the numerator is the sum of the other variable and the constant (y=k:x).With a proportionality constant of k, it is claimed that y is directly proportional to x in this instance.

Hence,Directly proportional to x.

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Related Questions

I need help like asap !!!

number and decimal points ​

Answers

Answer:

a = 5 cm

Step-by-step explanation:

Formula we use,

→ (AC)² = (BC)² + (AB)²

Now the value of a will be,

→ (13)² = a² + (12)²

→ 169 = a² + 144

→ a² = 169 - 144

→ a = √25

→ [ a = 5 cm ]

Hence, value of a is 5 cm.

I need help like asap !!!

only numbers and decimal points ​

Answers

Answer:

24.41

Step-by-step explanation:

a^2+b^2=c^2

14^2+20^2=c^2

196+400=596

14^2+20^2=24.41^2

slope of the line passing through (3,-4), (-5,2)

Answers

Answer:

[tex]\boxed{\sf Slope( m)=-\cfrac{3}{4}}[/tex]

Step-by-step explanation:

To find the slope between two points we'll use the Slope formula:-

[tex]\boxed{\sf \mathrm{Slope(m)}=\frac{y_2-y_1}{x_2-x_1}}[/tex]

______________

Given:-

(3,-4)(-5,2)

Where,

[tex]\mathrm{\left(x_1,\:y_1\right)=\left(3,\:-4\right)}[/tex]

[tex]\mathrm{\left(x_2,\:y_2\right)=\left(-5,\:2\right)}[/tex]

[tex]\mathrm{m=\cfrac{2-\left(-4\right)}{-5-3}}[/tex]  ← Subtract

[tex]\sf m=-\cfrac{6}{8}[/tex]

[tex]\sf m=-\cfrac{3}{4}[/tex]

Therefore, the slope of the line is m = - 3/4.

______________________

Hope this helps!

Have a great day!

A chess board is made using the ratio of square length to king's height, 2.5 inches to 4.5 inches. If a chess board is made with a king's height of 2.25 inches, what is the length of the square? 0.75 inch 1.25 inches 2.25 inches 4.75 inches

Answers

The length of the square, given the height of the King, can be found to be 1.25 inch.

How to find the height?

The chessboard is made such that its square length as a ratio would be 2 . 5 inches to 4 . 5 inches for the King's height.

If the King's height is 2. 25 inches, the square length of the chess board can be found by the formula:
= ( King's height x Ratio of square length ) / Ratio of King's height

Solving gives us:

= (2 . 25 x 2 . 5 ) / 4.5

= 5.625 / 4. 5

= 1.25 inches

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Can anyone state the vertex of the graph?

Answers

The graph has no vertex

The transformations from the parent function are

Vertical shift down 2Horizontal shift left 4

How to determine the vertex?

The graph represents the given parameter

As a general rule, the maximum or the minimum of a graph is the vertex

However, the graph has no maximum or minimum

This means that there is absence of a vertex in the graph

The transformation

Here, we have:

The graph is translated 4 units to the left of the origin The graph is translated 2 units below the origin

This transformation can be represented as (x - 4, y - 2)

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I NEED HELP ASAP :
if a volume of an object varies directly with its width and if the volume is 16, while the with is 4 what is k?

Answers

The value of k is 4.

What is Proportion ?

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal. Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

Volume= 16

Width = 4

So, we can write the relation as

Volume= k (width)

k = Volume/ width

k= 16/4

k = 4

Hence, the value of k is 4.

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PLEASE HELPPPP!!!
Simplify the imaginary number...

Answers

It’s the second choice :)

Helppppppppppppp Thxs ‼️

Answers

Answer:

False

Step-by-step explanation:

If is a real number and m and n are positive integers

A prize is divided in the ratio 1:8.If the larger share is £72 what is the smaller share?

Answers

Answer:

£9

Step-by-step explanation:

1:8=9

?:72

72÷9=8

9×1=9

One angle of an isosceles triangle measures 80°. What measures are possible for the other two angles? Choose all that apply.

Answers

80°,20° or 50°,50° are possible for the other two angles.

Given:

One angle of an isosceles triangle measures 80°.

we assumed that the 80° is one of the equal angles, then there is another 80° angle.That makes 160°.

Since a triangle always totals 180°,

180° - 160° = 20°.

if the 80° was the only different angle instead,the two remaining angles total:

180 - 80 = 100

Since we have two identical angles remaining, we need only divide the 100° in half to get the final answer:

100/2 = 50°.

Therefore 80°,20° or 50°,50° are possible for the other two angles.

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each day for four days, linda traveled for one hour at a speed that resulted in her traveling one mile in an integer number of minutes. each day after the first, her speed decreased so that the number of minutes to travel one mile increased by 5 minutes over the preceding day. each of the four days, her distance traveled was also an integer number of miles. what was the total number of miles for the four trips

Answers

The total number of miles for the four trips is 25 miles.

Given that;

Linda traveled for one hour each day for four days at a speed that made her cover one mile in an even number of minutes. After the first day, she started to lose speed, and it took her 5 minutes longer to complete a mile than the day before. Her journey distance was also an integer amount of miles throughout the four days.

We know that,

Distance is a product of speed and time. We need to find the distance here with the use of the given conditions, time is 1 hour.

Speed = Distance / Time

Hence, speed is 1 mile per x minutes because we want to distance by multiplying the time and speed together yielding 60 min * 1 mile / x mins.

Minutes cancel out, so now we have 60/x as our distance for the first day.

The distance for the given case;

⇒ [tex]\frac{60}{x},\frac{60}{x+5},\frac{60}{x+10},\frac{60}{x+15}[/tex]

It is given that x = 5;

⇒ [tex]\frac{60}{5},\frac{60}{10},\frac{60}{15},\frac{60}{20}[/tex]

= 12 + 6 + 4 + 3

= 25

The total number of miles for the four trips is 25 miles.

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The length of a rectangle is 5 yd longer than its width.
If the perimeter of the rectangle is 70 yd, find its length and width

Answers

Answer:

length is 20 yards, width is 15 yards

Step-by-step explanation:

Length = width + 5

2(W + 5) + 2(W) = 70

2W + 10 + 2W = 70

4W + 10 = 70

4W = 60

W = 60 ÷ 4

W = 15 yards

L = 15 + 5

L = 20 yards

easy trig please heeelp me

Answers

Answer:

9

Step-by-step explanation:

Pythagorean triples. 3, 4, 5. Multiply by 3 and get 9.

you have seven different video games. how many different ways can you arrange the games side by side on a shelf?

Answers

The number of different ways to arrange 7 video games is  = 7!

The question requests for the number of arrangements; That means we're dealing with permutation

the number of video games is 7;

To arrange 7 games, we make use of the following permutation formula;

[tex]^{n}P_{n} = \frac{n!}{(n-n)!}[/tex]

So, we have

n=7

No. of ways we can arrange is = [tex]\frac{7!}{(7-7)!}[/tex] = 7!

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One has a face value of $32.50, and one has a face value of $26.50. He uses a coupon and gets both tickets at One-fourth off. If he pays with a $50 bill, how much change should Tamir receive?

Answers

The change that Tamir would have to receive would be: $5.75

How to solve for the change

We would first have to solve for the total amount of the tickets that Tamir has received

This would be given as

32.5 + 26.5 dollars

= 59 dollars

Given that he has a 1/4 off in both of the tickets the amount that he would have to pay would be

59 - 1/4 * 59

59 - 14.75

= $44.25

This is the amount that he would have to pay for the coupons.

Given that he used a $50 bill, we would have to solve for his change.

This would be solved as $50 - $44.25

= 5.75

Hence his change is going to be $5.75

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What’s Question 6 and 7 ?

Answers

Step-by-step explanation:

6.

the factors need to be zero for the x-intercepts.

but (-3 - 3) = -6 and not 0.

the same for (-7 - 7) = -14 and not 0.

his mistake was the signs.

what do I need to add to -3 to get 0 ? 3. and 7 to -7.

so, the correct f(x) is

f(x) = (x + 3)(x + 7)

to get x-intercepts at -3 and -7.

7.

in the same way we get the factors here : for a given x the y value has to be 0.

how is y turning 0 for a polynomial in factor form ? well, at least one of the factors has to be 0.

therefore, for (-6, 0) the factor has to be

(x + 6) as -6 + 6 = 0

for (2, 0) the factor has to be

(x - 2) as 2 - 2 = 0

pick one of them as your answer. they are both correct factors for f(x).

a) 110⁰
b) 70⁰
c) 73⁰
d) 115⁰

Answers

Answer:I think is am B

Step-by-step explanation:

Step-by-step explanation:

(5x)°+(3x+4)°=180°

5x+3x+4=180

8x=176

x=22

D=5x

D=110°

4 tins of soup have a total weight of 1120 grams
3 tins of soup and 5 packets of soup have a total weight of 1015 grams
work out the total weight of 5 tins of soup and 2 packets of soup

Answers

grams = g

4 tins of soup = 1120g
1 tin of soup = 1120/4 = 280g
3 tins of soup = 3x280g = 840g
5 packets of soup = 1015g - 840g = 175g
1 packet of soup = 175g/5 = 35g

5 tins of soup + 2 packets of soup =(5x280)g + (2x35)g
= 1400g + 70g
= 1470g

Rewrite the point-slope form equation into slope-intercept form.
y+4= -3(x-5)
The slope-intercept form of the equation is
(Type an equation. Use integers or fractions for any numbers in the equation.

Answers

The point slope and the intercept form is y = -3x + 11

What is the slope intercept form?

One of the most popular ways to represent a line's equation is in the slope intercept form of a straight line. When the slope of the straight line and the y-intercept are known, the slope intercept formula can be used to determine the equation of a line ( the y-coordinate of the point where the line intersects the y-axis).

This written in the form of y = ax + b

where a is the slope and b is the intercept

We have the equation as

y + 4 = - 3 ( x - 5 )

we would have to open the bracket and then take the like term

this is going to be

y  + 4 = -3x + 15

From here we would get the like term

y = -3x + 15 -4

y = -3x + 11

The slope is -3 and the intercept is 11.

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Write an equation for the line parallel to the given line that contains the given point.


Line: 8y=6x+5 Point: (-8,-10)

Please answer quick!!

Answers

The linear equation parallel to 8y=6x+5  is:

y = (3/4)*x - 4

How to find the equation of the parallel line?

Remember that two linear equations are parallel if and only if both lines have the same slope and different y-intercept.

Here we want to find a line parallel to:

8y = 6x + 5

Rewriting this in slope-intercept form we get:

y = (6x + 5)/8

y = (3/4)*x + 5/8

Then a parallel line to this one will be:

y = (3/4)*x + b

To find the value of b, we use the fact that this line must pass through the point (-8, -10).

-10 = (3/4)*(-8) + b

-10 = -6 + b

-10 + 6 = b

-4 = b

Then the linear equation is:

y = (3/4)*x - 4

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2^(x+3) = ((1)/(8))^(x+2) solve for x
step by step exlanation

Answers

Exact Form:
x = −9/4

Decimal Form:
x = − 2.25

Mixed Number Form:
x = −2 1/4

Compare these fractions by filling in the blank with the appropriate sign. 5/11 _____ 4/9

Answers

Answer:

5/11 > 4/9

Step-by-step explanation:

5/11 = 0.45454545....

4/9 = 0.44444444....

Sophia earned $36 at her job when she worked for 4 hours. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.

Answers

If Sophia earned $36 dollars at her job while working for 4 hours. We would just need to divide 36 by 4 to get what she worked for 1 hour. Which is 9.

Now we know the unit rate is $9 per 1 hour we can divide 54 by 9 to get 6.

So essentially the answer is
9,1.
36,4.
54,6

I apologize if anything is incorrect.

a question posted on the lycos web site on june 18, 2000 asked visitors to the site to say whether they thought that marijuana should be legally available for medicinal purposes. what is the most likely issue with the sample they collected?

Answers

The most likely problem with the sample they gathered to determine whether they believed marijuana should be lawfully available for medical uses has to do with the survey's likelihood of being "biased".

Defined the term biased survey?This phrase describes the different factors and biases that may affect survey results. Either biased responses are deliberate or unintentional, they make survey results less valuable because they are erroneous.With participant surveys that ask for self-reporting, this might become a specific problem.Any survey's bias response is crucial since it determines the validity of the data, so preventing bias is absolutely necessary if you want insightful survey responses.Among the most prevalent types is leading bias. As an illustration, consider the scenario in which your question concerns customer happiness and the response alternatives are Very Satisfied, Satisfied, and Dissatisfied. Results in this case may be affected by bias.

Thus, the most likely problem with the sample lycos web site gathered to determine whether they believed marijuana should be lawfully available for medical uses has to do with the survey's likelihood of being "biased".

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a restaurant has special menu that features three choices of salad, six choices of entree, and eight choices of dessert. how many different three course meals could you order

Answers

72 three course meals we can order.

Question states that;

A restaurant offers a special menu with three salad options, six meal options, and eight dessert options.

Counting Principle:

The counting rule is another name for the Fundamental Counting Principle. It's a way to figure out how many possible outcomes there are in a probability word problem. Probability is the likelihood that an event will occur. An event's probability is always a number between 0 and 1. The probability of all events added together equals one.

We need to find how many three course meals we can order;

Total number of ways,

P(A) = 3 * 6 * 8

P(A) = 72

72 three course meals we can order.

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Meal Deal £5.00
A sandwich
A dessert
A drink
The following choice is available:
5 different sandwiches
4 different desserts
6 different drinks
a) How many different combinations are possible with the Meal Deal?
b) Two of the desserts are sugar-free.
Three of the drinks are sugar-free.
A Meal Deal combination is selected at random.
Work out the probability that both the dessert and the drink are sugar-free
Give your answer as a fraction.

Answers

The meal deal has 5 x 4 x 6 = 120 different combinations

Combinations that are sugar free = 5 x 2 x 3 = 30

Probability that random meal is sugar free = 30/120 [= 1/4 if you need to simplify]

How many complete centerpieces can she make? Find the exact answer.

Answers

The number of centerpieces that she can make, using proportions, is of:

25.

What is a proportion?

A proportion is a fraction of an amount, and this fraction is combined with the unit rates in the context of a problem, and basic arithmetic operations, especially multiplication or division, to find the desired amounts in the same context of this problem.

In the context of this problem, the number of centerpieces is given by the division of the the total number of flowers by the number of flowers in each centerpiece.

The amounts are given as follows:

Flowers: 430.Flowers per centerpiece: 17.

Hence the division giving the number of flowers per centerpiece is:

n = 430/17 = 25.2.

The amount is rounded down to 25, as for 26 centerpieces, more flowers would be needed.

Missing Information

Hailey is making floral centerpieces for a wedding. Each centerpiece has 17 flowers. She has 430 flowers for the project.

How many complete centerpieces can she make? Find the exact answer.

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a group contains n men and n women. identify the steps used to find the number of ways to arrange n men and n women in a row if the men and women alternate?

Answers

With the help of factorisation we can conclude our answer.

What is factorisation?The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into the product of another entity, or factors, whose multiplication results in the original number or matrix is known as factorization or factoring in mathematics.A polynomial or integer is simply resolved into components that, when multiplied together, produce the original or starting polynomial or integer. The factorization method allows us to simplify any algebraic or quadratic equation by representing the equations as the product of factors rather than by expanding the brackets. Any equation can have an integer, a variable, or the algebraic expression itself as a factor.

acc to our question-

n+1 nP * P = factorial(n+1) *factorialnn n

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TEXT ANSWER
Jason provided the following work when asked to convert 0.105 to its simplest fraction
form.
1. Why did Jason get the problem wrong?
2. Provide the work for properly writing the decimal in its simplest fraction form.
Jason's Work:
0.105=
105
21
1000 200

Answers

Answer:

See below

Step-by-step explanation:

.105    is    105   THOUSANDTHS    or   105/1000

  Divide top and bottom by '5'

    to get   21/100

question 4 while verifying cleaned data, a data analyst encounters a misspelled name. which function can they use to determine if the error is repeated throughout the dataset?

Answers

The function can they use to determine if the error is repeated throughout the dataset is " COUNTA ".

The given condition needs the following function;

Data Integration Error:

Data from a single source, obtained and entered in the same way across time is unusual to be present in a database of significant size and age. A database frequently comprises data that has been gathered over time from various sources using various ways. As an illustration, consider how the meaning of "affected" is evolving or changing as the crisis progresses and the number of people affected is tracked over time. In addition, many databases evolve in practice by joining together different pre-existing databases. Almost always, the databases involved in this merging effort include discrepancies involving various data units, measurement intervals, formats, etc. Any process that combines data from various sources has the potential to make mistakes. When two or more databases are combined, errors will be found where there are discrepancies between the databases as well as new errors will be produced (i.e. duplicate records). A few potential origins and types of errors in a big assessment are shown in Table 1 below, at three fundamental levels: after completing the survey, when adding information to the database, and when conducting the analysis.

So, we use " COUNTA "

The function can they use to determine if the error is repeated throughout the dataset is " COUNTA ".

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