1.) Express the statement as a formula that involves the given variables and a constant of proportionality k, and then determine the value of k from the given conditions.
u is directly proportional to v. If v = 29, then u = 20.
2.) Express the statement as a formula that involves the given variables and a constant of proportionality k, and then determine the value of k from the given conditions.
r varies directly as s and inversely as t. If s = -5 and t = 10, then r = 8.
3.) Express the statement as a formula that involves the given variables and a constant of proportionality k, and then determine the value of k from the given conditions.
w varies directly as z and inversely as the square root of u. If z = 3 and u = 36, then w = 9.

Answers

Answer 1

1.  the formula is u = (20/29)v and the constant of proportionality, k, is 20/29.

2. the formula is r = (-16s) / t and the constant of proportionality, k, is -16.

3.  the formula is w = (18z) / sqrt(u) and the constant of proportionality, k, is 18.

1.) The formula for direct proportionality is u = kv, where u is directly proportional to v and k is the constant of proportionality. Given v = 29 and u = 20, we can solve for k:

20 = k * 29
k = 20 / 29

So, the formula is u = (20/29)v and the constant of proportionality, k, is 20/29.

2.) The formula for combined proportionality is r = ks/t, where r varies directly as s and inversely as t, and k is the constant of proportionality. Given s = -5, t = 10, and r = 8, we can solve for k:

8 = k(-5) / 10
k = 8 * 10 / -5
k = -16

So, the formula is r = (-16s) / t and the constant of proportionality, k, is -16.

3.) The formula for combined proportionality is w = k * z / sqrt(u), where w varies directly as z and inversely as the square root of u, and k is the constant of proportionality. Given z = 3, u = 36, and w = 9, we can solve for k:

9 = k * 3 / sqrt(36)
k = 9 * sqrt(36) / 3
k = 9 * 6 / 3
k = 18

So, the formula is w = (18z) / sqrt(u) and the constant of proportionality, k, is 18.

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Related Questions

the term relates to the way data tend to cluster around some middle or central value. t/f

Answers

The term central location or central tendency relates to the way data tend to cluster around some middle or central value

It is a number located towards the center of the distribution of the values of a series of observations, that are called measures, in which the set of data is located. The most commonly used measures of central tendency are: mean, median and mode.

What is statistics?

Statistics is a branch of mathematics that allows you to collect, organize and analyze data according to the need you have, for example: to obtain a result, compare information, make better decisions, among many other things.

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Please answer this ASAP.

Please answer this ASAP.

Answers

Answer:

y = 0.8x

Step-by-step explanation:

Parallel lines have the same slope but different y-intercepts

Bottom line slope can be found by noting that it passes through points

(0, -3.2) and (4,0)

Then find the difference in y values which is called  the rise

Find the corresponding difference in x values called the run

rise/run = slope

For the bottom line
Rise = 0 - (-3.2) = 3.2

Run = 4 - 0 =4

So slope m = 3.2/4 = 0.8

Slope of top line is also 0.8

Since it passes through origin there is no y-intercept

So equation of top line is simply
y = 0.8x

Find the surface area of the rectangular prism.
1 mi
1 mi
5 mi

Answers

Answer:

20mi\(1^{2}\)

Step-by-step explanation:

Well, I'm guessing that the 1mi by 1mi is the two square sides and 5 mi is the length of the rectangular part

So with that information, the two surface areas of the squares would be 1mi\(1^{2}\)+1mi\(1^{2}\) is 2mi\(1^{2}\)

And then the four rectangular sides would be 5mi\(1^{2}\) *4 = 20mi\(1^{2}\)

in conclusion

20mi\(1^{2}\)

When the increment operator precedes its operand, as num, the expression is in ________ mode.

Answers

When the increment operator precedes its operand, as

++num, the expression is in prefix mode.

When the increment or decrement operator is placed before the operand ( to the operand's left), the operator is being used in prefix mode.

A prefix is defined by specifying its name with the name= keyword, its optional short name with the sname= keyword, optional input names with iname=, and the keyword prefix.

During an assignment of one variable to other the prefix mode of increment and decrement first increments or decrements the variable's value then updated value of the variable is used in assignment.

Postfix mode on the other hand is when the increment or decrement operator is placed after the operand (or to the oper and's right) .

Pre-increment, (for example, ++n) increments the value first, and then performs the specified operation.

Therefore, When the increment operator precedes its operand, as ++num, the expression is in prefix mode.

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Can some one help me with this question its hard :( down below ill give brainliest

Can some one help me with this question its hard :( down below ill give brainliest

Answers

Answer:

A is the answer ...........

It’s gonna be A hopefully this is correct if not let me know please

Find the quotient.
3
- 3.8
10
3
= 3.8=
10
(Type an integer or a simplified fraction.)

Find the quotient.3- 3.8103= 3.8=10(Type an integer or a simplified fraction.)

Answers

Answer:

The answer to this question is 3/38 or 3.38.

Reptile sticker come in sheets of 6 and fish stickers come in sheets of 9. Antonio buys the same number of both types of stickers and he buys at least 100 of each type. What is the least number of sheets of each type he might buy?

Answers

Answer:

he ill buy 0.06 reptile stickers and 0.09 fish sticker sheets

Step-by-step explanation:

What is AX? in this question. This is hard

What is AX? in this question. This is hard

Answers

Answer:

4 units (if my logic is correct)

Step-by-step explanation:

1/2(5x-7)=x+1

5x-7=2x+2

3x=9, x=3

2x-2 --> 2(3)-2 = 6-2=4

A particle is moving along a spiral path defined by the equation r = a * e^(b * θ), where a and b are constants. Determine the velocity of the particle at a given value of θ.

Answers

Step-by-step explanation:

The velocity of the particle at a given value of θ can be found by taking the derivative of the position vector with respect to time:

v(θ) = dr/dt = dr/dθ * dθ/dt = dr/dθ * ω

where ω is the angular velocity and dr/dθ is the derivative of the position vector with respect to θ.

The position vector r = a * e^(b * θ) * i + a * b * e^(b * θ) * j

Taking the derivative with respect to θ:

dr/dθ = a * b * e^(b * θ) * i + a * b^2 * e^(b * θ) * j

So the velocity of the particle is given by:

v(θ) = a * b * e^(b * θ) * ω * i + a * b^2 * e^(b * θ) * ω * j

Answer:

Step-by-step explanation:

v(θ) = a * b * e^(b * θ) * ω * i + a * b^2 * e^(b * θ) * ω * jj

Frank is making a dog bed from a pattern. The picture shows the length and width of the piece of fabric he needs. Which is the area of the piece of fabric?

Answers

Answer:

252 square feet

Step-by-step explanation:

The area of a rectangular window is 8148 cm² If the length of the window is 97 cm, what is its width?​

Answers

The area of a rectangle = length × width

Since we are finding the width

We have

From the question

area = 8148 cm²

length = 97 cm

The width is

We have the final answer as

84 cm

a website streams movies and television shows to its subscribers. employees know that the average time a user spends per session on their website is 222 hours. the website changed its design, and they wanted to know if the average session length was longer than 222 hours. they randomly sampled 505050 users and found that their session lengths had a mean of 2.752.752, point, 75 hours and a standard deviation of 1.551.551, point, 55 hours. the employees want to use these sample data to conduct a ttt test on the mean. assume that all conditions for inference have been met. identify the correct test statistic for their significance test.

Answers

The appropriate conclusion:

The evidence suggests that the mean session length is longer than 2 hours.

Since the P-value (0.015) is less than the significance level (0.05), we have sufficient evidence to reject the null hypothesis.

The test statistic (t ≈ 2.24) also supports the conclusion that the mean session length is longer than 2 hours.

Thus, the appropriate conclusion at the significance level α = 0.05 is:

The evidence suggests that the mean session length is longer than 2 hours.

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the question attached here seems it be incomplete, the complete question is:

A website streams movies and television shows to its subscribers. Employees know that the average time a user spends per session on their website is 2 hours. The website changed its design, and they wanted to know if the average session length was longer than 2 hours. They randomly sampled 50 users to test H_{0} / mu = 2 hours versus H_{a} / mu > 2 hours, where μ is the mean session length.

Users in the sample had a mean session length of 2.49 hours and a standard deviation of 1.55 hours. These results produced a test statistic of t \approx  2.24 and a P-value of approximately 0.015,

Assuming the conditions for inference were met, what is an appropriate conclusion at the significance level? alpha = 0.05

Choose 1 answer:

The evidence suggests that the mean session length is shorter than 2 hours.

The evidence suggests that the mean session length is longer than 2 hours.

The evidence suggests that the mean session length is exactly 2 hours.

They cannot conclude the mean session length is longer than 2 hours.

when the spring is stretched and the distance from point a to point b is 5.3 feet, what is the value of θ to the nearest tenth of a degree?
a. 60.0
b. 35.2
c. 45.1
d. 55.5

Answers

When the spring is stretched and the distance from point a to point b is 5.3 feet, the value of θ is 53.13  degrees

The distance between point a to point b = 5.3 feet

The length of the top side = 3 feet

Therefore, it will form a right triangle

Here we have to use trigonometric function

Here adjacent side and the hypotenuse of the triangle is given

The trigonometric function that suitable for the given conditions is

cos θ = Adjacent side / Hypotenuse

Substitute the values in the equation

cos θ = 3 / 5

θ = cos^-1(3 / 5)

θ = cos^-1(0.6)

θ = 53.13 degrees

Therefore, the value of θ is 53.13  degrees

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A rectangular price tag has a perimeter of 10 centimeters and an area of 6 square centimeters. What are the dimensions of the price tag?

Answers

Answer:

3 by 2

Step-by-step explanation:

3+2+3+2=10

3*2=6

Hope this Helps!!!

Convert the following equation into
standard form.
y = - + 5
7x + y = [?]
please i am confused

Convert the following equation intostandard form.y = - + 57x + y = [?]please i am confused

Answers

Answer:

The answer is "7x + 9y = 45"

which of the following python lines returns subset data for only the variables ""survived"" and ""age"" from a dataframe called ""titanic""?

Answers

The correct Python line to return subset data for the variables "survived" and "age" from a dataframe called "titanic" is subset = titanic[['survived', 'age']].

To extract a subset of data containing only the variables "survived" and "age" from the dataframe "titanic" in Python, you can use double brackets to specify the columns of interest. The line subset = titanic[['survived', 'age']] achieves this.

Here's a breakdown of the line:  

titanic[['survived', 'age']] is used to select the columns 'survived' and 'age' from the dataframe 'titanic'. The double brackets create a new dataframe with only the specified columns.

The resulting subset dataframe is then assigned to the variable 'subset' using the assignment operator '='.

You can use 'subset' to perform further operations or analyze the data containing only the 'survived' and 'age' variables.

By executing this line of code, you will obtain a new dataframe named 'subset' that contains only the columns 'survived' and 'age' from the original 'titanic' dataframe.

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I need help with this question I can’t figure it out

I need help with this question I cant figure it out

Answers

Answer:

they are parallel

Step-by-step explanation:

they are parallel since their slope are equal

9/6 can be simplified to 3/2

Answer:

You're right; it's choice B parallel

Step-by-step explanation:

When it comes to two equations, when their slopes are the same, they are parallel. If the slopes are negatively reciprocated then they are perpendicular.

An ice cream store makes 144 quarts of ice cream in 8 hours.
how quarts could be made in 12 hours.

Answers

216 quarts of ice cream

Evaluate: 4+2×6÷3−5
3
7
13
I don't know.

Answers

The answer is A the number three

The solution of the given expression is 3.

It is required to evaluate the given expression.

What is expression?

An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined.

Given that:

The given expression is

4+2×6÷3−5

By the use of BODMAS we have,

4+2×2-5

=4+4-5

=8-5

=3

Hence, the solution of the given expression is 3.

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Are Quadrilaterals A and C congruent??​

Answers

Answer:

It turns out that knowing all four sides of two quadrilaterals are congruent is not enough to conclude that the quadrilaterals are congruent. Unlike with triangles, some information about angles is needed in order to conclude that two quadrilaterals are congruent. I will give you the video that might be helpful. I dont own the video but i hope it helps you . <3

Step-by-step explanation:

https://www.khanacademy.org/math/cc-fifth-grade-math/properties-of-shapes/imp-quadrilaterals-2/v/quadrilateral-types-exercise

y - 3 = 2/5(x + 7) what is the slope

Answers

Answer:

2/5

Step-by-step explanation:

Let's simplify this equation to find the slope. I am going to make this into

y = mx+b form where m is the slope and b is the y-intercept.

y - 3 = 2/5(x+7)

y - 3 = 2/5(x) + 14/5

y = 2/5(x) + (14/5 + 3)

y = 2/5(x) + 29/15

The slope of this equation is 2/5

Examine the statement.

Rules for naming compounds are beneficial to the scientific community.

Do you agree or disagree with the statement? Be sure to explain the reasons for your viewpoint when you answer.


Furthering the Discussion
If you need more material to continue the conversation, use these questions as a guide.

What types of real-life situations or scenarios do you think benefit from having rules?
What types of real-life situations do you think are hindered by having rules?

Answers

Answer/Explanation:

I agree with the statement because primary function of chemical nomenclature is to ensure that a spoken or written chemical name leaves no ambiguity concerning which chemical compound the name refers to: each chemical name should refer to a single substance.  The first separation of importance is to distinguish between inorganic and organic compounds.

charles buys a pair of sneakers for 6.30. he wants to re-sell the pair of sneakers. he marks up the price by 40%. how much will he sell the pair of sneakers?

Answers

Answer:

Step-by-step explanation:

if Charles bought the sneakers for 6.30 and wants to re-sell them with 40% more,

first lets see how much is 40% of 6.30

(6.30*40)/100=2.52

he will resell the shoes with

6.30+2.52=8.82

Answer:

$\(8.82\)

Step-by-step explanation:

\(6.30 + 0.4\times6.30 = 8.82\)

\(\therefore\) Charles will sell the sneakers at a price of $\(8.82\)

Hope this helps :)

w is directly proportional to y
w is inversely proportional to x?
(a) When y = 4, w = 14
Work out the value of w when y = 9

Answers

Answer:

w=31.5

Step-by-step explanation:

w proportional to y

w=ky

k is a constant

k=w/y

w1/y1=w2/y2

w1=14,w2=?,y1=4,y2=9

14/4=w/9

cross multiply and divide by 4

w=14×9/4

w=31.5

Tell whether the ratios form a proportion.

2/5,40/16

Answers

Answer:

No, those ratios are not proportional.

Step-by-step explanation:

The reason for them not being proportional is because 2/5 is already in its simplest form and 40/16 in its simplest form is 5/2, resulting in them not being equivalent meaning that they are not proportional.

height increase (m)
Temperature drop (°C)=
200


If the temperature at a height of 500 m is 23°C, what will it be when you climb to 1300 m
How far would you need to climb to experience a temperature drop of 5°C?

Answers

Complete question is;

In mountaineering, in general, the higher you go, the colder it gets. This formula shows how the heights and temperatures are related.

Temperature drop (°C) = height increase(m)/200

A) If the temperature at a height of 500 m is 23°C, what will it be when you climb to 1300 m

B) How far would you need to climb to experience a temperature drop of 5°C

Answer:

A) 19°C

B) 1500 m

Step-by-step explanation:

A) We are told that the temperature is at a height of 500 m is 23°C, now we want to find the temperature when height increases to 1300 m.

Thus, it means;

Height increase = 1300 - 500 = 800 m

Thus, from the formula;

Temperature drop (°C) = height increase(m)/200, we have;

Temperature drop (°C) = 800/200 = 4°C

Now,since Initial temperature was 23°C, thus temperature at this increased height ; 23°C - 4°C = 19°C

B) for a temperature drop of 5°C, we have;

5°C = height increase(m)/200

Height increase = 200 × 5

Height increase = 1000 m

Thus, you will need to climb; 500 + 1000 = 1500 m

Deductive reasoning uses all of the following except...
A. Laws
B. Patterns
C. Facts
D. Rules

Answers

B patterns is not applied

For many years businesses have struggled with the rising cost of health care. But recently, the increases have slowed due to less inflation in health care prices and employees 927 companies paying for a larger portion of health care benefits. A recent Mercer survey showed that of U.S. employers were likely to require higher employee contributions for health care coverage in the upcoming year. Suppose the survey was based on a sample of companies. Compute the margin of error and a confidence interval for the proportion of companies likely to require higher employee contributions for health care coverage in the upcoming year.

Answers

We need to know the percentage of companies in the sample that are likely to require higher employee contributions in order to calculate the confidence interval.

Based on the information provided, we can calculate the margin of error and confidence interval for the proportion of companies likely to require higher employee contributions for health care coverage in the upcoming year. First, we need to know the sample size and the percentage of companies in the sample that are likely to require higher employee contributions. Unfortunately, this information is not given in the question. Without this information, it is impossible to calculate the margin of error and confidence interval. We need to know the sample size to determine the standard error of the proportion, which is necessary for calculating the margin of error. Additionally, we need to know the percentage of companies in the sample that are likely to require higher employee contributions in order to calculate the confidence interval.

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Beinggreat78 can you pls answer for me?! Or someone who is good at Algebra! PLEASE HELP ME!! :(

Beinggreat78 can you pls answer for me?! Or someone who is good at Algebra! PLEASE HELP ME!! :(

Answers

Answer:

you have the correct answers

Step-by-step explanation:

you already have the right answers


Write an equation for the line passing through (-1, 5) that is perpendicular to y = 1/7x+4

Answers

Answer: y = -7x-2

Step-by-step explanation:

Perpindicular lines always have the opposite reciprocal of the original line's slope. so the opposite reciprocal of 1/7 is -7, and the reason why I put the -2, is because -7(-1) +2 = 5, which creates the coordinate (-1,5).

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