PLEASE HELP ASAPPP. WILL GIVE BRAINLIEST AND 5.0 STAR RATING.

PLEASE HELP ASAPPP. WILL GIVE BRAINLIEST AND 5.0 STAR RATING.

Answers

Answer 1

Answer:

0.40

Step-by-step explanation:

.04 x 10 = .40

Answer 2

Answer: $0.40

Step-by-step explanation: The sales tax will be 4% of the selling price

The end price will be 10.40


Related Questions

what is the value of underlined 5 fogit numbers?

Answers

In four digits number, if 5 is ones place, then the value is 5. It 5 is on tens place then the value will be 50. If the 5 is on hundred places then value will be 500. If 5 are on thousand places then value will be 5000.

In the given question, we have to find the value of underlined 5 in four digit numbers.

As we know that,

Place value labels like tens and ones notify us of a number appear digit's value. More than one digit can be used to create a number. As a result, to better understand the value of each digit, we employ place value labels such as ones, tens, hundreds, and thousands.

As we know that we count the numbers as ones, tens, hundreds and so on.

So if a 4 digit number is given and we have to find the value of underline 5, and then if 5 is ones place, then the value is 5. It 5 is on tens place then the value will be 50. If the 5 is on hundred places then value will be 500. If 5 are on thousand places then value will be 5000.

To learn more about place value link is here

brainly.com/question/29636321

#SPJ4

how would you explain the difference between qualitative and quantitative data sources? how would you explain the difference between qualitative and quantitative data sources?

Answers

Qualitative data is used to represents the qualities , intention of human behavior and is basically based on observations and interview using open ended questions where as quantitative data is based on the statistical and mathematical data.

Explanation:

Difference between Quantitative and Qualitative data sources:

Qualitative data sources:

It represents the subjective approachBased on open-ended question.It represents the human behavior.

Quantitative data sources:

It represents the objective approach.Based on Statistical and mathematical data.Represents using graphs.

Therefore, qualitative data is used to represent the human behavior while quantitative data is for statistical and mathematical data.

Learn more about qualitative data here

brainly.com/question/12929865

#SPJ4


5. What must the complement of the supplement
of an obtuse angle be?
(A) an acute angle
(B) a right angle
(C) an obtuse angle
(D) a straight angle
(E) a reflex angle
**I’ll give 20 points!

Answers

Answer:

A Acute angle (Give me pointssss)

Step-by-step explanation:

Its right bc im smart

a hippogriff rancher wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle (see the figure below). he has 590 feet of fencing available to complete the job. what is the largest possible total area of the four pens?

Answers

The largest area is found to be 8702.5 [tex]ft^{2}[/tex].

We know that area of rectangle

A = xy ........ (1)

Perimeter of rectangle (given) = 590 ft

Using x and y as two variables ;

5x + 2y = 590

solve yb in term of x

y = -5/2 x + 295......(2)

Now we will get area only in one variable from (1) and (2)

A = x ((-5/2)x + 295)

A = -5/2 [tex]x^{2}[/tex] + 295x

differentiate it with respect gto x

A' = -5x + 295........ (3)

find the critical point to get your minima and maxima value.

Put A' = 0,  x = 295/5 = 59

x = 59

then , from (2)

y= (-5/2 × 59) + 295 = 147.5

y = 147.5

again differentiate (3)

A'' = -5 < 0. i.e critical point x = 59 is point of maxima.

So, maximum area = 59 × 147.5

Largest area = 8702.5 [tex]ft^{2}[/tex]

Learn more about area here ;

https://brainly.com/question/25292087

#SPJ4

Help with these two problems will give branliest

Answers

Answer:

15. x = 4

16. x = 7

Step-by-step explanation:

15.

CD/ ED = DG / DF

48 / (5x - 2) = 40 / (2x + 7)

48 (2x + 7) = 40 (5x - 2)

96x + 336 = 200x - 80

200x - 96x = 336 + 80

104x = 416

x = 4

16.

ST / PL = TU / LM

(x + 1) / 72 = (2x - 3) / 99

99 (x + 1) = 72 (2x - 3)

99x + 99 = 144x - 216

144x - 99x = 99 + 216

45x = 315

x = 7

t the movie theatre, child admission is and adult admission is . on wednesday, twice as many adult tickets as child tickets were sold, for a total sales of . how many child tickets were sold that day?

Answers

The number of child ticket were sold on Wednesday is 236

The cost of child admission ticket = $6.10

The cost of adult admission ticket = $9.20

Consider the number of child ticket as x and the number of adult ticket as y

Twice times as many adult tickets as child tickets were sold

y = 2x

Then the equation will be

x + y = 707.70

Substitute the value of y in the equation

x + 2x = 707.70

Add the like terms

3x = 707.70

x = 707.70/3

Divide the terms

x = 235.9

x ≈ 236

Therefore, 236 child ticket were sold on that day

I have answered the question in general, as the given question is incomplete

The complete question is:

At the movie theatre, child admission is $6.10 and adult admission is $9.20 . On Wednesday, twice times as many adult tickets as child tickets were sold, for a total sales of $707.70 . How many child tickets were sold that day?

Learn more about equation here

brainly.com/question/14603452

#SPJ4

Paul is making turkey burgers that are 1/4 pound each. He has 2.93 pounds of turkey how many turkey burgers can he make

Answers

Answer: 11 turkey burgers

Step-by-step explanation:

1/4 = 0.25
2.93 ÷ 0.25 = 11.72
You can't have a partial burger, so round down
He can make 11 turkey burgers

Answer:

12 burgers

Step-by-step explanation:

i just did this, you round up from the fraction you get

On Saturday, some adults and some children were in a theatre.The ratio of the number of adults to the number of children was 7:2
Each person had a seat in the Circle or had a seat in the Stalls.
of the children had seats in the Stalls.
124 children had seats in the Circle.
There are exactly 3875 seats in the theatre.
On this Saturday, what percentage of the seats had people sitting on them?

Answers

There are 72% percent of the seats had people sitting on them.

What are ratios and percentages?

A ratio is a comparison of two quantities that are similar. Given any two similar quantities a and b, so a:b ratio is defined as a:b = a/b, where b0. The percentage is an abbreviation for 'by the hundred' or 'divide by one hundred.' The percentage, which means 'per 100,' is also used to compare quantities.

Given data:

Ratio of adults to children = 7 : 2

The proportion of children that had sit in the stalls = 4/5

Number of children that had sit in the Circle = 124 children

Number of seats at the theatre = 3,875

Let x represent the number of children, we have;

The number of children in the stalls = (4/5).x

Then the number of children in the circle = x - (4/5).x = 124

Solving this, we get

          x = 620

Given ratio is Number of adults/Number of children = 7:2

                    Number of adults/620 = 7/2

      So the number of adults = 2,170

Total number of peoples = 2170 + 620 = 2790

The percentage of the seats had people sitting on them

                                                                                                 [tex]=\frac{2790}{3875}\times100\\\\=72\%[/tex]

Hence, 72% percent of the seats had people sitting on them.

To learn more about ratios and percentages, visit:

https://brainly.com/question/18250434

#SPJ4

Find the mean absolute deviation: 5, 11, 2, 7, 16. the mean is 8.2

Answers

the mean absolute deviation is 4.24

What Is Mean Absolute Deviation?

Mean absolute deviation (MAD) is a measure of the average absolute distance between each data value and the mean of a data set. Similar to standard deviation, MAD is a parameter or statistic that measures the spread, or variation, in your data.

the given mean absolute deviation 5,11,2,7,16

mean = [tex]\frac{5+11+2+7+16}{5}[/tex]

mean = 8.2

Hence, the mean absolute deviation is given by:

[tex]M_{d}[/tex] = |5-8.2| + |11-8.2| +|2-8.2| +|7-8.2|+|16-8.2| / 5

     = 4.24

To learn more about mean absolute deviation:

https://brainly.com/question/10528201

#SPJ4

a 10 foot ladder is leaning against a wall when the base begins to slide away from the wall. when the base is 8 feet from the wall, the base is moving at the rate of 4 feet per second. how fast is the top of the ladder sliding down the wall, in feet per second?

Answers

40/3 feet /second fast the top of the ladder sliding down the wall.

What is ladder?

A ladder is a piece of gear used for climbing up or down objects that consists of repeated bars or steps (rungs) between two upright lengths of metal, wood, or rope.

Typically, these ladders work best for outdoor tasks like roof access or exterior painting. A straight ladder's reach is typically two feet higher than its height.

Given:

A 10 foot ladder is leaning against a wall when the base begins to slide away from the wall. when the base is 8 feet from the wall, the base is moving at the rate of 4 feet per second.

We have dx/dt = 4 feet per second

We want to find dy/dt.

From given information,

x^2 + y^2 = 10^2         ..(1)

When x = 8

⇒ y = √(10^2 - 8^2)

y = √(100 - 64)

y = √36

y = 6 feet

Now differentiate equation (1) with respect to t

[tex]2x\frac{dx}{dt} +2y\frac{dy}{dt} = 0\\ x\frac{dx}{dt} + y\frac{dy}{dt} = 0\\ \frac{dy}{dt} = -\frac{x}{y} \frac{dx}{dt}[/tex]

Plug x = 8, y = 6 and dx/dt = 10

[tex]\frac{dy}{dt} = -\frac{8}{6}(10)\\ \frac{dy}{dt} = -\frac{40}{3}[/tex]

Hence, 40/3 feet /second fast the top of the ladder sliding down the wall.

To know more about ladder, click on the link

https://brainly.com/question/1469417

#SPJ4

Select all the situations for which only zero or positive
solutions make sense.

Measuring temperature in degrees Celsius at an Arctic
outpost each day in January.
The height of a candle as it burns over an hour.
buns
The elevation above sea level of a hiker descending into a
canyon.
The number of students remaining in school after 6:00 p.m.
The temperature in degrees Fahrenheit of an oven used on a
hot summer day.

Answers

Answer: the last two situations

Step-by-step explanation:

there would be 0 students left in a school after 6 pm and the temperature in degrees fahrenheit has to be above 0 because it is a hot day and the oven is on

I WILL OPEN MY ALT AND COMENT AND GIVE YOU A BRINLIST OPEN IF YOU SHOWED YOUR WORK!!! OPEN THE IMAGE

Answers

Answer:

a = -5/4

Step-by-step explanation:

There are too many steps, it would take an hour to list it all....

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 9 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:

are you sure this is correct tho?

Step-by-step explanation:

The editors of a national automotive magazine recently studied 30 different automobiles sold in the United States with the intent of seeing whether they could develop a multiple regression model to explain the variation in highway miles per gallon. A number of different independent variables were collected. The following regression output (with some values missing) was recently presented to the editors by the magazine's analysts:
Based on this output and your understanding of multiple regression analysis, what is the critical value for testing the significance of the overall regression model at a 0.05 level of statistical significance?
o Nearly F = 3.80
o About F = 5.92
o Approximately F = 2.50
o None of the above

Answers

Based on this output of multiple regression analysis, critical value for testing the significance of the overall regression model at a 0.05 level of statistical significance is Approximately F = 2.50.

What exactly is multiple regression analysis?

A single dependent variable and a number of independent variables can be analyzed using multiple regression, a statistical approach. Using independent variables whose values are known, multiple regression analysis aims to predict the value of the single dependent value.

What is multiple regression analysis example?

When doing multiple regression, each independent variable's value is taken into account in order to predict the value of the single dependent variable. Example: A researcher chooses to examine student performance at a certain school over time.

To know more about multiple regression analysis visit:

https://brainly.com/question/28298210

#SPJ4

A study shows that 80% of the population of a city have brown eyes and 20% do not. The study also shows that 20% of the people who do not have brown eyes do not have brown hair, while 90% of the people who have brown eyes have brown hair. A relative frequency table was constructed for this data. What is the largest marginal relative frequency and its interpretation?


0. 90; Individuals with brown hair

0. 88; Individuals with brown hair

0. 80; Individuals with brown eyes

0. 72; Individuals with brown eyes

Answers

Answer:

Step-by-step explanation its is 0.72

i hoped this helped

HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
show your work.
(1/2 + 1/3)÷1/12 - 2^3

Answers

Answer: 2

Step-by-step explanation:

solve in parentesis than divide by 0.5 or 1/2 then 2^3= 4 so

that minus 4 equals 2

6. Olumide plays the piano and guitar. For every 5 minutes of piano practice, he spends 8) minutes practicing guitar. How many minutes will Olumide practice piano if he spends 64 minutes practicing guitar?​

Answers

He will practice 40 m on piano if he spends 64 m practicing on guitar. It can be solve by the concept of word problems on multiplication of fraction.

What is fraction?

Fraction is a part of a whole number or quantity. It is written as 3/8, 4/9, etc.

Piano practice time = 5 m

Guitar practice time = 8 m

If he spend 8 minute practicing on guitar then he will spend on piano practice = 5 m

If he spend 1 minute practicing on guitar then he will spend on piano practice = 5m/8m

If he spend 64 minute practicing on guitar then he will spend on piano practice

[tex]=\frac{5m}{8m}64m\\=40 m[/tex]

Hence, he will practice 40 m on piano if he spends 64 m practicing on guitar. It can be solve by the concept of word problems on multiplication of fraction.

Learn more about fraction problems from the following link:

https://brainly.com/question/15525945

#SPJ1

can you help with this question

Answers

Answer:

1. y=5

2. y=2x-1

3.y=-2x+1

4. y=-(1/2x)+1

Step-by-step explanation:

1. y=y-intercept. y=5.

2. 2x=mx=slope. -1=b=y-intercept

3. 2x=mx=slope. 1=b=y-intercept

4. -(1/2x)=mx=slope. 1=b=y-intercept

-Hope this helped

Alto and Sheryl both worked hard over the summer. Together they earned a total of $500. Sheryl earned $100 more than Alto.

(a) Write a system of equations for the situation. Use s for the amount Sheryl earned and a for the amount Alto earned.

(b) Graph the equations of the system on the graph provided on the next page. a. Note: Insert->Shape will allow you to add lines, draw dots, and otherwise insert shapes in both Microsoft Word and LibreOffice. The graph should be big enough for you to easily plot points using this method. b. If you do not want to graph using the drawing tools built into Microsoft Word or LibreOffice you may also print out, graph by hand, and scan the page. Please note it’s perfectly okay to upload multiple files.

(c) Use Elimination or Substitution to solve the system.

(d) Use your graph to estimate how much each person earned, check your work with part C, and explain your results in complete sentences.​

Answers

Alto earned $200 while Sheryl earned $300 over the summer.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Consider x represent the amount of money earned by Alto and y represent the amount of money earned by Sheryl

Together they earned a total of $500.

Hence the system of equations for the situation

x + y = 500 (1)

Sheryl earned $100 more than Alto:

y = x + 100

-x + y = 100(2)

Using Substitution to solve the system.

Solving equations 1 and 2 simultaneously gives:

x = 200 , y = 300

Therefore Alto earned $200 while Sheryl earned $300 over the summer.

Find out more about linear equation at:

brainly.com/question/25718473

#SPJ2

how do the results compare to your hypothesis? explain why your hypothesis was or was not supported by the results.

Answers

To compare result to hypothesis, we will start by providing the key result from the each model and then compare and contrast them.

A hypothesis is usually a prediction based on some evidence. Hypothesis must be tested and once tested they can be supported by evidence if a statement is made that cannot be tested or disproof then it is not hypothesis

To compare we will start by providing the key result from the each model and then compare and contrast them then you can then provide any interpretation or future direction to some of the comparison

To prove or disprove your hypothesis you need to be able to do an experiment and take that measurement or make observation to see how two things are related

If you have hypothesis is not supported by the result of the experiment you should really realize the data in order to figure out why your result disprove your hypothesis

You should not alter the observation or experiment so that you reserve proof your hypothesis

To know more about Hypothesis here

https://brainly.com/question/17173491

#SPJ4

Vector Vector P Q has an initial point at (3, 3) and its terminal point is at (5, 7).
Vector Vector R S has an initial point at (4, –6) and its terminal point is at (1, –5).
What is the component form of vector ?

The correct answer is: 5,3

Answers

Initial and terminal points of the vector [tex]\vec{PQ}[/tex] of (3., 3) and (5, 7) , and the initial and final point of the vector [tex]\vec{RS}[/tex] of (4, -5), and (1, -5), indicate that  the the difference between the vectors is; 5·i + 5·j

What is a vector?

A vector is a quantity that has both magnitude and direction.

The specified vectors are;

The initial and terminal point on vector [tex]\vec{PQ}[/tex] are; (3, 3) and (5, 7)
The initial and terminal point of vector  [tex]\vec{RS}[/tex] are  (4, -6), and (1, -5)

Therefore, the vector  [tex]\vec{PQ}[/tex] - [tex]\vec{RS}[/tex] is therefore;

The vector form of [tex]\vec{PQ}[/tex] = <5 - 3, 7 - 3> = <2, 4>

The vecror form of    [tex]\vec{RS}[/tex]  = <1-4, -5 - (-6)> = <-3, -1>

The difference  between the vectors is therefore;

The vectors are therefore;

[tex]\vec{PQ}[/tex] = 2·i + 4·j

[tex]\vec{RS}[/tex] = -3·i - j

The difference between the vectors is therefore;

[tex]\vec{PQ}[/tex] - [tex]\vec{RS}[/tex] = (2 - (-3))·i + (4 - (-1))·j = 5·i + 5·j

Learn more about the difference between two vectors here:

https://brainly.com/question/24855749

#SPJ1

Segment ab falls on line 6x + 3y = 9. Segment cd falls on line 4x + 2y = 8. What is true about segments ab and cd?.

Answers

The parallelism of the linear equations of two lines is clearly shown by the fact that both have the same slope. Due to the fact that they both have a slope of -2, they are parallel.

What are Linear equations?

An equation is said to be linear if the maximum power of the variable is consistently 1.

Another name for it is a one-degree equation.

A linear equation with one variable has the conventional form Ax + B = 0.

In this case, the variables x and A are variables, while B is a constant.

So, there is a degree of 1 in these equations.

Knowing the lines' equation:

ab: 6x + 3y = 9

cd: 4x + 2y = 8

Afterward, write in slope-intercept form as follows:

ab: y = -2x + 3

cd = y = -2x +8

It is evident that both lines have the same slope, demonstrating their parallelism.

Therefore, the parallelism of the linear equations of two lines is clearly shown by the fact that both have the same slope. Due to the fact that they both have a slope of -2, they are parallel.

Know more about Linear equations here:

https://brainly.com/question/2030026

#SPJ4

what is distributional hypothesis in the context of distributional semantics? give a short explanation with some examples. g

Answers

Distributional semantics develops methods for measuring and classifying semantic similarity between language elements.

To quantify and classify semantic relatedness among linguistic items based on their distributional qualities in large samples of language data, distributional semantics is a field of study. The distributional hypothesis captures the fundamental principle of distributional semantics.

The semantic theory of language usage, states that terms used and occurring in comparable situations tend to have similar meanings is the basis for the distributional hypothesis in linguistics. For instance, the words "fire" and "dog" have very different meanings and aren't typically used together in a sentence. However, the terms "dog" and "cat" are occasionally used interchangeably, suggesting that they may have a similar connotation.

Read more about semantics on:

https://brainly.com/question/4153775

#SPJ4

A data collection protocol calls for a questionnaire to be administered to patients having knee replacement surgery after the third physical therapy appointment. Errors can be introduced into the study by.

Answers

The way that errors can be introduced are;

Giving the questionnaire to all participants when they arrive for their appointment does not follow the protocol;

The participant could fill out the questionnaire before experiencing the therapy session.

How to identify errors in statistics study?

Statistical errors are defined as errors that describe the difference that exists between a value obtained from a data collection process and the 'true' value for the population. Thus, the greater the error, the less representative the data will be of the population.

There are two main errors in this case which are type I error and type II error.

A type I error is called false-positive and it occurs if an investigator rejects a null hypothesis that is actually true in the population.

A type II error is called false-negative and it occurs if the investigator fails to reject a null hypothesis that is actually false in the population.

Now, from the question, since the data collection protocol alls for a questionnaire to be administered to patients having knee replacement surgery after the third physical therapy appointment, then we can introduce an error by;

Giving the questionnaire to all participants when they arrive.

The participant could fill out the questionnaire before experiencing the therapy session.

Read more about statistics errors at ; https://brainly.com/question/28485848

#SPJ1

Giving a questionnaire to all par-ticipants follows the timing of theprotocol.

BReading the questionnaire to par-ticipants with poor reading skillsfollows the timing of the protocol.

CGiving the questionnaire to allparticipants when they arrive fortheir appointment does not fol-low the protocol; the participantcould fill out the questionnairebefore experiencing the therapysession.

DGiving the questionnaire to theparticipants after the appoint-ment to be completed while theyhave a snack follows the timingof the protocol.

a variable is normally distributed with mean 23 and standard deviation 6. use your graphing calculator to find each of the following areas. write your answers in decimal form. round to the nearest thousandth as needed. a) find the area to the left of 25. 0.557 b) find the area to the left of 16. c) find the area to the right of 22. d) find the area to the right of 28. e) find the area between 16 and 30.

Answers

a) The area to the left of 25 is 0.63056

b) The area to the left of 16 is 0.12167

c) The area to the right of 22 is 0.56618

d) The area to the right of 28 is  0.20233

e) The area between 16 and 30 is  0.75666

Given,

The mean of the distribution = 23

Standard deviation  = 6

We have to find the following areas

(a) Entering the values

Lower : -999999999Upper : 25Area (probability): 0.63056

(b) Entering the values

Lower : -999999999Upper : 16 Area (probability): 0.12167

(c) Entering the values

Lower : 22 Upper : 999999999 Area (probability): 0.56618

(d) Entering the value

Lower : 28 Upper : 999999999 Area (probability):  0.20233

(e) Entering the values

Lower : 16Upper : 30Area (probability):  0.75666

Learn more about area here;

https://brainly.com/question/29652852

#SPJ4

Jessica bought a kitten from a pet store and recorded its weight at various times over a 6 month period.

She found the linear model that best fit the data was w = 0.45n + 0.12, where n is the number of months since Jessica bought the kitten and w is the kitten's weight in kilograms.

Drag and drop the correct numbers below to complete the sentence.

Answers

According to the model, the kitten gained approximately 0.45 kilograms every month and the kitten weighed approximately 0.12 kilograms when Jessica bought it from the store.

Linear functions: Completing a sentence

From the question, we are to drag and drop the correct numbers to complete the given sentence.

The given sentence is

According to the model, the kitten gained approximately ____ kilograms every month and the kitten weighed approximately ____ kilograms when Jessica bought it from the store.

From the given information,

The equation that fits the model is

w = 0.45n + 0.12

By comparing with the slope-intercept form a line,

y = mx + c

Where m is the slope

and c is the y-intercept

m = 0.45

and c = 0.12

This means the kitten gained approximately 0.45 kilogram every month and the initial weight of the kitten is 0.12 kilogram

Hence,

The kitten gained approximately 0.45 kilograms every month and the kitten weighed approximately 0.12 kilograms when Jessica bought it from the store.

Here is the complete question:

Jessica bought a kitten from a pet store and recorded its weight at various times over a 6 month period.

She found the linear model that best fit the data was w = 0.45n + 0.12, where n is the number of months since Jessica bought the kitten and w is the kitten's weight in kilograms.

Drag and drop the correct numbers below to complete the sentence.

According to the model, the kitten gained approximately ____ kilograms every month and the kitten weighed approximately ____ kilograms when Jessica bought it from the store.

Learn more on Linear functions here: https://brainly.com/question/28773757

#SPJ1

PLEASE HELP ME !!!!!

1 ) The rate of vibration of a string under constant tension varies inversely with the length of the string. If a string is 24 inches long and vibrates 128 times per second, what is the length of a string that vibrates 64 times per second?

48 inches
46 inches
42 inches
55 inches

------------------------------------------------------------------

2 ) The horsepower (hp) that a shaft can safely transmit varies jointly with its speed (in revolutions per minute - rpm) and the cube of the diameter. If the shaft of a certain material 3 inches in diameter can transmit 45hp at 100 rpm, what must the diameter be in order to transmit 60hp at 150rpm?

24
[tex]\sqrt[3]{150}[/tex]
[tex]2\sqrt[3]{3}[/tex]
[tex]4\sqrt[3]{6}[/tex]

Answers

Answer:

[tex]\textsf{1)\quad 48\;inches}[/tex]

[tex]\textsf{2)\quad$2\sqrt[3]{3}$\; inches}[/tex]

Step-by-step explanation:

Question 1

Define the variables:

Let x be the length of the string.Let y be the rate of vibration of a string under constant tension.

The rate of vibration of a string under constant tension varies inversely with the length of the string:

[tex]\boxed{y \propto \dfrac{1}{x} \implies y=\dfrac{k}{x}\quad\text{for a constant $k$}}[/tex]

Given values:

x = 24 inchesy = 128 times per second

Substitute the given values of x and y into the formula and solve for k:

[tex]\implies 128=\dfrac{k}{24}[/tex]

[tex]\implies k=128 \cdot 24[/tex]

[tex]\implies k=3072[/tex]

Therefore, the equation is:

[tex]y=\dfrac{3072}{x}[/tex]

To find the length of a string that vibrates 64 times per second, substitute y = 64 into the equation and solve for x:

[tex]\implies 64=\dfrac{3072}{x}[/tex]

[tex]\implies x=\dfrac{3072}{64}[/tex]

[tex]\implies x=48[/tex]

Therefore, the length of a string that vibrates 64 times per second is 48 inches.

---------------------------------------------------------------------------------------------

Question 2

Define the variables:

Let y be the horsepower (hp) that a shaft can safely transmit.Let v be the speed of the shaft (in rpm).Let d be the diameter of the shaft (in inches).

The horsepower that a shaft can safely transmit varies jointly with its speed and the cube of the diameter:

[tex]\boxed{y \propto vd^3 \implies y=kvd^3\quad\text{for a constant $k$}}[/tex]

Given values:

y = 45 hpv = 100 rpmd = 3 inches

Substitute the given values of y, v and d into the formula and solve for k:

[tex]\implies 45=k \cdot 100 \cdot 3^3[/tex]

[tex]\implies 45=k \cdot 100 \cdot 27[/tex]

[tex]\implies 45=2700k[/tex]

[tex]\implies k=\dfrac{45}{2700}=\dfrac{1}{60}[/tex]

Therefore, the equation is:

[tex]y=\dfrac{vd^3}{60}[/tex]

To find the diameter of the shaft in order to transmit 60 hp at 150 rpm, substitute y = 60 and v = 150 into the equation and solve for d:

[tex]\implies 60=\dfrac{150d^3}{60}[/tex]

[tex]\implies 3600=150d^3[/tex]

[tex]\implies d^3=\dfrac{3600}{150}[/tex]

[tex]\implies d^3=24[/tex]

[tex]\implies d=\sqrt[3]{24}[/tex]

[tex]\implies d=\sqrt[3]{8 \cdot 3}[/tex]

[tex]\implies d=\sqrt[3]{8} \sqrt[3]{3}[/tex]

[tex]\implies d=\sqrt[3]{2^3} \cdot \sqrt[3]{3}[/tex]

[tex]\implies d=2\sqrt[3]{3}[/tex]

Therefore, the diameter of a shaft that transmits 60 hp at 150 rpm is 2³√3 inches.

a random sample of 46 salespersons was asked how long on average they were able to talk to a potential customer. their answers revealed a mean of 8.90 with a variance of 6 minutes. construct a 95% confidence interval for the time it takes a salesperson to talk to a potential customer.

Answers

With 95% of confidence interval for the time it takes salesperson to talk to a potential customer is (12.42 , 5.38).

A Random sample is a randomly selected subset of a population. In this sampling method, each member of the population has an exactly equal chance of being selected, minimizing the risk of selection bias.

In probability theory and statistics, variance is the expectation of the squared deviation of a random variable from its population mean or sample mean. Variance is a measure of dispersion, meaning it is a measure of how far a set of numbers is spread out from their average value. Variance is an important tool in the sciences, where statistical analysis of data is common. The variance is the square of the standard deviation, the second central moment of a distribution, and the covariance of the random variable with itself, and it is often represented by σ ² ,s² ,Var(X) , or V(X).

A confidence interval (CI) is a range of estimates for an unknown parameter. A confidence interval is computed at a designated confidence level; the 95% confidence level is most common, but other levels, such as 90% or 99%, are sometimes used. The confidence level represents the long-run proportion of corresponding CIs that contain the true value of the parameter. For example, out of all intervals computed at the 95% level, 95% of them should contain the parameter's true value.

Given in the question:

n = 46

x = 8.90

σ = 6

α = 0.95

As we know that:

[tex]X[/tex] ±[tex]Z_{\alpha /2} * \frac{\beta }{\sqrt{n} }[/tex]

putting the values we get,

  8.90 ± Z (0.95/2) ×6/√46

Now, considering the positive sign, we get,

=  8.90 + 3.52

= 12.42

Now considering the negative sign,

8.90 ± Z (0.95/2) ×6/√46

= 8.90 - 3.52

= 5.38

Learn more about Random Sample:

https://brainly.com/question/12719645

#SPJ4

PLEASE! HELP ASAP GIVING 100 POINTS AND BRAINLEST!

Write a system of equations to compare these two scenarios:

1) You buy a grande café latte from Starbucks every day, which costs 3.65


2) You spend 300 to buy an espresso machine and purchase supplies for lattes, which cost an additional 1.35 a day.


a) After how many days will the price of buying lattes for Starbucks equal the price of making lattes at home?


b) How much money will you have spent at this point?

Answers

The equations used to compare the two scenarios are as follows:

3.65x

300 + 1.35x

What is an equation?

Identifying which variables values result in equality is part of solving a variable equation. The variables for which the equation must be solved are known as unknowns, whereas the unknown values that fulfill the equality are known as equation solutions. A mathematical expression with two equal sides separated by an equal sign is known as an equation. 4 + 6 = 10. We can see 4 + 6 on the left and 10 on the right side of the equal symbol.

We already have,

1) You often purchase a grande cafe latte from Starbucks, which costs $3.65.

This formula is:

Number of days = x

Total cost after x days = 3.65x

2) You spend $300 on an espresso machine and ingredients for lattes, which cost an extra $1.35 per day.

This formula is:

Number of days = x

Total cost after x days = 300 + 1.35x

Now, three days later,

3.65 x 3 = $10.95

300 + 1.35 x 3 = 300 + 4.05 = $304.05

Thus,

The equations used to compare the two scenarios are as follows:

3.65x

300 + 1.35x

To know more about equation, visit:

https://brainly.com/question/29538993

#SPJ1

A ski lift rises at a 28° angle during the first 20 feet
up a mountain to achieve a height of 25 feet, which is the
height maintained during the remainder of the ride up
the mountain. Determine the length of cable needed for
this initial rise

Answers

The length of cable that is needed for the initial rise is; 41 feet.

How to use Law of Sines?

The given parameters are as shown in the image of the triangle attached.

Where;

A = 28 , a = 25 ft, and b = 20 ft.

Now, if A is acute and a > b, it means that one solution exists. Using the

Law of Sines to find B;

a/sin A = b/sin B

Plugging in the relevant values gives;

25/sin 28 = 20/sin B

sin B = (20 sin 28)/25

sin B = 0.3756

B = sin⁻¹0.3756

B = 22.06°

Due to the fact that the two angles are now known, it means that the angle opposite x is 180 – (28 + 22.06 ) = 129.94 . Using the Law of Sines to find x;

a/sin A = x/sin X

25/sin 28 = = x/sin 129.94

solving fir x gives;

x = 40.83 ≈ 41 feet

Read more about Law of Sines at; https://brainly.com/question/15140698

#SPJ1

2. loran is a long range hyperbolic navigation system. suppose two loran transmitters are located at the coordinates and , where unit distance on the coordinate plane is measured in miles a receiver is located somewhere in the first quadrant. the receiver computes that the difference in the distances from the receiver to these transmitters is 180 miles. what is the standard form of the hyperbola that the receiver sits on if the transmitters behave as foci of the hyperbola?

Answers

The path  LORAN followed is hyperbolic.

The equation of the hyperbola is x²/8100 + y²/1900 = 1

Given,

These are the coordinates:

(x, y) = (-100, 0)  (100, 0)

The hyperbola's center; (h, k) = (0, 0)

The following is the distance between the center and the focal points:

c = 100

Square both sides;

c² = 10000

The following is the distance between the transmitters and the receiver:

2a = 180

Divide 2 from both sides.

a = 90

Square both sides;

a² = 8100

We possess;

b² = c² - a²

This results in;

b² = 10000 - 8100

b² = 1900

A hyperbola's equation is as follows:

(x - h)²/a²  + (y - k)²/b² = 1

We thus have:

(x - 0)²/8100 + (y - 0)²/1900 = 1

x²/8100 + y²/1900 = 1

As a result, the hyperbola's equation is: x²/8100 + y²/1900 = 1

Learn more about equation of hyperbola here;

https://brainly.com/question/25265561

#SPJ4

Other Questions
Apply conditional formatting to the selected range F15:F44, so that if a cell within the range contains the word Discontinue, the cell text will be formatted with a Dark Red font color-in the first column, the first color under Standard Colors. Change the Fill color to No Color. Which of the following fits with a preemptive facilities strategy?A. Wait and see what competitors do, then seek to match or exceed their capacity.B. Create a positive capacity cushion to stimulate the market.C. Reduce risk by allowing capacity to lag the market by a small amount.D. All of the above. 9. a baseball team has a total of 18 pitchers. the ratio of right-hand pitcher to total number of pitchers is 5:6. how many left-hand pitchers does the team have? 2. Theodore is writing the program for a video game. For one part of the game, he uses the rule (x, y) (x + 4, y 2) to move points on the screen. (a) What output does the rule give when the input is (7, -7)? Show your work. (b) What output does the rule give when the input is (-2, 0)? Show your work. (c) Is the rule a function? Explain why it is or why it is not. 3. Based on the Ten Commandments, describe a person who lives their life according to God's laws. write an algebraic expression that marshall can use to determine the total cost of buying a watermelon that weighs w pounds and some tomatoes that weigh t pounds. How much will it cost to buy a watermelon that weighs 18 1/2 pounds and 5 pounds of tomatoes if watermelon cost $0.68 and the tomatoes cost $3.25 davy confesses that he is bored with his job and wants more of a challenge. which technique to job design can bryan utilize to provide davy with more stimulating work why did a wave of polish, german, russian, and italian immigrants come to the united states between the mid-19th and early 20th centuries? this very slow wired technology uses the phone line; an inexpensive isp subscription should be the only additional cost, but you cannot connect to the internet and use your phone on the same line simultaneously. 5. Some portions of the Silk Road travel through mountainous areas. Whatchallenges does that specific terrain present? How could travelers prepare?Write at least 4 sentences. (2 points) suppose you live in an economy where you can go to a bank at any time and exchange your paper bills for a fixed amount of copper. the money in this economy is multiple choice question. fiat money. coinage. commodity-backed money. reserve money. Now that you have seen the difference in the smear preparation after simple methylene blue staining, which of the following is correct regarding your smear now?The addition of methylene blue helps show helps show the intact appearance and localization of the cells, compared with no stainingThe addition of methylene blue makes visualization some bacterial cell characteristics more apparent, compared to no stainingAddition of methylene blue highlights the bacterial cell nucleus and organelles that were difficult to discern without stainThe addition of methylene blue helps visualize the shape and arrangements of bacterial cells that were difficult to discern without stain. is the area of a circle directly proportional to the square of the radius. a circle with a radius of 10 has an area of 314. what will the are be on a circle of radius 4 a rectangular tank that is 5234 ft^3 with a square base and open top is to be constructed of sheet steel of a given thickness. find the dimensions of the tank with minimum weight. discuss how a malware can maintain persistence. what do malwares use the setwindowshookex function for? theta cleaning corp. wants to use the house of quality matrix in designing and developing a new vacuum cleaner. what is the first step that theta cleaning should take? a proton has a mass of 1.671027 kg . if the spring were to break, the particle would disintegrate and the protons would fly off in opposite directions. what would be their ultimate speed? Which of the following does not have a four year term and a two-term limit?Superior Court JudgesSupreme Court JudgesState AssemblyAll of the above find the probability of choosing a letter other than the letter a from a bag that contains the fifteen letters of the indian city palasa kasibugga. express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth. identify the true statement about the various service approaches used by retailers. multiple choice question. customers always seek standardized services rather than personalized services. the level of customer service and personalized information desired from sales associates does not depend on the buying situation. the level of desired service always remains unchanged for the same customer patronizing the same retailer. general merchandise retailers tend to emphasize standardized service.