LING'S HALLWAY IS 10 FEET LONG AND 4 FEET WIDE. HE PAID $200 TO TILE HIS HALLWAY FLOOR. HOW MUCH DID LING PAY PER SQUARE FOOT FOR THE TILE.

Answers

Answer 1

Answer:

5

Step-by-step explanation:

10x4/200=5


Related Questions

In Jackie’s math class, there are 51 students and one-third of the class is boys. How many girls are there in Jackie’s math class?

Answers

Answer:

34 boys

Step-by-step explanation:

you divide 51 by 3 which gets yOU 17 and then you subtract 17 by 51 which gets you 34

Which description matches the expression 13 minus StartFraction 5 Over y EndFraction? the difference of thirteen and the product of five and a number the quotient of five and a number minus thirteen the difference of thirteen and the quotient of five and a number the sum of thirteen and the quotient of five and a number

Answers

Given:

The expression is:

\(13-\dfrac{5}{y}\)

To find:

The description that matches the given expression.

Solution:

We have,

\(13-\dfrac{5}{y}\)

Here, \(\dfrac{5}{y}\) is describes as the quotient of five and a number and the minus sign describes the difference between 13 and the quotient.

So, the description that matches the given expression is "difference of thirteen and the quotient of five and a number".

Therefore, the correct option is C.

Answer:

the difference of thirteen and the quotient of five and a number

Step-by-step explanation:

Find the total perimeter of the figure
below.
3x + 4
2x + 1
2x + 3
3x
Perimeter
(NO SPACES)​

Answers

the perimeter is the addition of all the side lengths, so the answer is 10x + 8

If the ratio of plums to peaches to kiwis is 10:4:5, how many plums are there if the total number of fruits is 190?
A. 50

B. 40

C. 104

D. 100

Answers

Answer:

D.100

Step-by-step explanation:

10+4+5=19

190/19=10

1 part= 10

plumes=10 parts
10x10= 100 plums are there

Help please! What is the correct answer and how do I solve for R?

Help please! What is the correct answer and how do I solve for R?

Answers

the correct answer is d, to solve for r divide both sides by 2piH

Find the volume v of the described solid s. The base of a solid s is the triangular region with vertices (0, 0), (4, 0), and (0, 4). Cross-sections perpendicular to the y-axis are equilateral triangles.

Answers

The volume of the solid S in the given question is 5.48unit³.

What is volume?

A three-dimensional space's occupied volume is measured.

It is frequently expressed numerically in a variety of imperial or US-standard units as well as SI-derived units.

The definition of length and volume are connected.

So, the volume of the solid S:
An equilateral triangle's sides are shown as a cross-section.

An equilateral triangle's height is determined by:

\(h = sSin60 = \frac{\sqrt{3} }{2} s\)

Consequently, one triangle's area is:

\(A=\frac{1}{2} s h=\frac{1}{2} s \cdot \frac{\sqrt{3}}{2} s=\frac{\sqrt{3}}{4} s^2\)

The line equation that depicts the diagonal is:

\(\begin{aligned}& x+y=1 \\& y=-x+1 \\& x=-y+1\end{aligned}\)

This will indicate the s value integrate from 0 to 2 if we integrate along the y-axis.

\(\begin{aligned}& V=\int_0^2 \frac{\sqrt{3}}{4} s^2 d x \\& =\frac{\sqrt{3}}{4} \int_0^2(-y+1)^2 d x \\& =\frac{\sqrt{3}}{4} \int_0^2\left(y^2-2 y+1\right) d x \\& =\frac{\sqrt{3}}{4}\left[\frac{1}{3} y^3-y^2+y\right] \\& \left.=\frac{\sqrt{3}}{4}\left[\frac{1}{3}(2)^3-(2)^2+2\right)\right] \\& =5.48\end{aligned}\)

Therefore, the volume of the solid S in the given question is 5.48unit³.

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Correct question:
Find the volume V of the described solid S. The base of S is the triangular region with vertices (0, 0), (2, 0), and (0, 2). Cross-sections perpendicular to the y-axis are equilateral triangles.

Henry purchased a prepaid phone card $40.50 for . Calls cost 10 cents a minute using this card. The credit, C (in dollars), left on the card after it is used for 15 minutes of calls is given by the following. How much credit is left on the card after Henry uses it for minutes of calls?

Answers

By solving the given equation we know that $32.7 credit is left on the phone.

What are equations?

The definition of an equation in algebra is a logical statement that proves two formulas are equal.

Take the equation 3x + 5 = 14, wherein 3x + 5 and 14 are two expressions that are separated by the symbol "equal."

So, we have the equation:

C(x)-35.50-0.07x

As Henry use it for 40 minutes:

Now, calculate the amount left as follows:

C(x) = 35.50 - (0.07 x 40)

C(x) = 35.50 - 2.8

C(x) = $32.7 left

Therefore, by solving the given equation we know that $32.7 credit is left on the phone.

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Complete question:

Henry purchased a prepaid phone card for $35.50. Calls cost 7 cents a minute using this card. The credit, C(in dollars), left on the card after it is used for x minutes of calls is given by the following function. C(x)-35.50-0.07x . How much credit is left on the card after Felipe uses it for 40 minutes of calls?

Evaluate the expression if b= 6 and c= 10.

5b/c

Answers

Answer:

=3

Step-by-step explanation:

5b/c

=5*6/10

=30/10

=3

Answer:

If b = 6 and c = 10, the value of an expression is 3.

Step-by-step explanation:

Given the expression

\(\frac{5b}{c}\)

We have to evaluate the expression if b = 6 and c = 10.

Important Tip:

In order to evaluate the expression  \(\frac{5b}{c}\), all we need to do is to substitute the value of b and c in the expression.

As the expression is

\(\frac{5b}{c}\)

substitute b = 6 and c = 10 in the expression

\(\frac{5b}{c}=\frac{5\left(6\right)}{10}\)

     \(=\frac{30}{10}\)

      \(=3\)       ∵ \(\frac{30}{10}=3\)

Therefore, if b = 6 and c = 10, the value of an expression is 3.


A painting company needs to determine the amount of paint they will need to purchase in order to complete a project for a customer
that wants three walls in her house painted. The size of each wall is 12 feet by 10 feet.
The paint can be purchased in either 1 gallon or 5 gallon buckets.
Select Yes or No to indicate whether each quantity described would be used to determine the amount of paint they will need to
purchase.

A painting company needs to determine the amount of paint they will need to purchase in order to complete

Answers

Step-by-step explanation:

strange math question.

but yes to all 3.

all 3 points will have to be considered to determine how much paint is needed.

Convert 5 hours to minutes. 200 minutes 300 minutes 150 minutes 250 minutes

Answers

Answer:

300 mins

Step-by-step explanation:

1 hours = 60 mins

5 hours = 5×60=300 mins

Answer:

300

Step-by-step explanation:

5 * 60 (minutes in an hour) = 300

Which of the following is a solution to the equation x^2 = -144?
A.) x=12
B.) x= -12
C.) x= -72
D.) this equation has no real solution

Which of the following is a solution to the equation x^2 = -144?A.) x=12B.) x= -12C.) x= -72D.) this

Answers

Answer: No real solutions

Step-by-step explanation: to solve for x and find a solution you need to take the square root of -144

This is not possible as this a negative number . There is a solution if we use complex numbers, but this not included in the question

1. Give the name, coordinates and elevation of the highest point
on Earth.
2. What type of plate boundary formed this region?

Answers

The highest point on Earth is Mount Everest.The region where Mount Everest is located was formed by the collision of the Indian and Eurasian tectonic plates.

Mount Everest, located in the Himalayas, is the highest point on Earth, with its peak reaching an elevation of 8,848.86 meters (29,031.7 feet) above sea level. It is situated on the border between Nepal and China (Tibet Autonomous Region). Mount Everest is part of the Mahalangur mountain range within the Himalayas.

The formation of the Himalayas, including Mount Everest, is attributed to the convergent boundary between the Indian and Eurasian tectonic plates. Around 50 million years ago, the Indian plate, located to the south, began moving northward at a relatively high speed. As the Indian plate collided with the Eurasian plate, it started to subduct beneath it, causing the Eurasian plate to uplift and form the towering peaks of the Himalayas.

The collision of these two massive tectonic plates resulted in the intense compression of the Earth's crust, leading to the creation of the Himalayan mountain range. The forces involved in this collision pushed up layers of sedimentary rock, which were subsequently folded, faulted, and uplifted, eventually forming the majestic peaks that we see today, including Mount Everest.

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HELPPP!!!! 110 points if you get it correct before the 4th of october!!!1

HELPPP!!!! 110 points if you get it correct before the 4th of october!!!1

Answers

Answer:

5.7, 6.9, 5, 7.1

Step-by-step explanation:

The absolute value of a number shows its distance from 0 on the number line, meaning it must always be positive since distance is positive. You have to perform the operations indicated on each expression to the left and match it to the correct value on the right. I got 5.7, 6.9, 5, 7.1 in order from top to bottom after adding and subtracting the numbers to the left.

Answer:

the first one on the left, goes to the third one on the right. the second one on the left goes to the first one on the right. the third one on the left goes to the fourth one on the right. the first one on the left goes to the second one on the right. Sorry if this is confusing :(

5x + (x , 3) = 38.4 =?

Answers

This is what X means (I put it in comments too lol)

x = 9.8

In a certain Algebra 2 class of 28 students, 9 of them play basketball and 17 of them play baseball. There are 6 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?

Answers

Answer:

4/28 (simplified to 1/7)

Step-by-step explanation:

Given:

There are 28 total students in the class9 of them play basketball17 of them play baseball6 of them play neither sport

Question:

What is the probability that a student chosen randomly from the class plays both basketball and baseball?

Answer:

Because we know there are 28 total students in the class and 6 play neither basketball nor baseball, then there are 28-6 = 22 students who either play ONLY basketball, ONLY baseball, or bothWe know that 9 out of the 22 play basketball and 17 out of the 22 play baseballTherefore, 22-9 = 13 students play ONLY basketball, and 22-17 = 5 students play ONLY baseballThis means that the amount of students that play BOTH basketball and baseball is 22-(13+5) = 22-18 = 4 studentsTherefore, the probability that a student chosen randomly from the class plays both basketball and baseball is 4/28 or 1/7

FIND THE AREA OF THE SECTOR 15 points

FIND THE AREA OF THE SECTOR 15 points

Answers

Answer:

2.1 m²

Step-by-step explanation:

Area of Sector

πr² x α/360°3.14 x 8 x 30/36025.12 x 1/122.093333332.1 m² (nearest tenth)

Simplify (2/3)^1 Show your work!

Answers

Having 1 as an exponent does nothing to the original number.

2/3^1 = 2/3

Best of Luck!

Answer:

\(\frac{2}{3}\)

Step-by-step explanation:

Anything to the power of 1 is itself.

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

If a number is to the power of 2, it multiplies itself and there are two 8 terms.

\(8^2=8*8\)

Thus, if a number is to the power of 1, it is just by itself.

\(8^1=8\)

Roberto compró 6 cd's y 10 revistas en $ 900.00 pesos; en la misma tienda su amiga María compró 10 cd's y 4
revistas en $ 1.220.00 pesos. ¿ Cual es el sistema de ecuaciones con dos incognitas que representa el problema?

Answers

The system of linear equation that represent this problem is

6x + 10y = 900

10x + 4y = 1220

What is the system of equation?

Let's represent the number of CDs Roberto bought as x and the number of magazines as y

The problem states the following information:

Using the variables;  x and y as given;

1. Roberto bought 6 CDs and 10 magazines for $900.00 pesos. This can be represented as the equation:

  6x + 10y = 900

2. María bought 10 CDs and 4 magazines for $1,220.00 pesos. This can be represented as the equation:

  10x + 4y = 1220

So, the system of equations representing the problem is:

6x + 10y = 900

10x + 4y = 1220

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Translation: Roberto bought 6 cd's and 10 magazines for $900.00 pesos; In the same store, her friend María bought 10 CDs and 4

magazines at $1,220.00 pesos. What is the system of equations with two unknowns that represents the problem?

What is the surface area?

What is the surface area?

Answers

Answer:

24 ft^2

Step-by-step explanation:

The srface area consisists of 2 triangles and 3 rectangles.

Surface area = 2 * 1/2 *4 * 3 + 1*4 + 1*5 + 1*3

= 12 + 4 + 5 + 3

=  24 ft^2.

-17.9 as a mixed number.

Answers

Answer:

-17 9/10

Step-by-step explanation:

Kai wants to buy a new surfboard. He earns $12.50 each time he mows a lawn. He keeps track of the total amount of money that he has, y, with the equation y-12.5x+30
. The x represents the number of lawns that Kai mows. What does the y-intercept represent in this equation?
A
The cost of the surfboard
B
The number of lawns that Kai mows
C
The total money that Kai will make
D
The money that Kai started with before he mowed any lawns

Answers

Answer:

D. The money that Kai started with before he mowed any lawns.

Step-by-step explanation:

We Know

The equation is y = mx + b

The x represents the number of lawns that Kai mows.

What does the y-intercept represent in this equation?

The y-intercept is when the x = 0, meaning the y-intercept is the amount of money he has when mowing 0 lawn. So, the answer is D.

Answer:

The Answer is D

Step-by-step explanation:

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and
last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch
1. Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show
2. Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sente
3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use comples
4. Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a
5. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for
sentences, explain how the graphs of the functions for the two months are similar and how they are different.
02.03 Key Features of Linear Functions-Option 1 Rubric
Requirements
Student changes equation to slope-intercept form. Student shows all work and identifies the slope and y-intercept of the
Student writes a description, which is clear, precise, and correct, of how to graph the line using the slope-intercept meth
Student changes equation to function notation. Student explains clearly what the graph of the equation represents.
Student graphs the equation and labels the intercepts correctly.
Student writes at least three sentences explaining how the graphs of the two equations are the same and how they are different.

Answers

1. The equation to slope-intercept form is y = -2/3(x) + 490. The slope is -2/3 and the y-intercept is 490.

2. You should start at the y-intercept (0, 490) and move right by 3 units and downward by 2 units, and then connect the points.

3. The equation in function notation is f(x) = -2/3(x) + 490. The graph of the function is the rate of change with respect to the number of sandwich lunch sold.

4. A graph of the function with intercepts is shown below.

5. The graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

How to change the equation to slope-intercept form?

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.

Based on the information provided above, a linear equation that models Sal's Sandwich Shop's profit is given by;

2x + 3y = 1,470

By subtracting 2x from both sides of the equation and dividing by 3, we have:

2x + 3y - 2x = 1,470 - 2x

y = -2/3(x) + 490

Therefore, the slope is -2/3 and the y-intercept is 490.

Part 2.

In order to graph the equation by using the slope-intercept method, you would start at the y-intercept (0, 490) and move right by 3 units and down by 2 units, and then connect the points.

Part 3.

Next, we would write the equation in function notation as follows;

f(x) = -2/3(x) + 490

where:

f(x) represents the number of wrap lunch sold.x is the number of sandwich lunch sold.

The graph represents the rate of change of the function with respect to the number of sandwich lunch sold.

Part 4.

In this context, we would use an online graphing calculator to plot the linear function as shown in the image attached below.

Part 5.

Assuming Sal's total profit on lunch specials for the next month is $1,593 and the profit amounts remain the same, a system of equations to model this situation is given by:

2x + 3y = 1593; y = -2/3(x) + 531.

2x + 3y = 1,470; y = -2/3(x) + 490.

In conclusion, we can logically deduce that the graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

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Complete Question:

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich

Help me with this please

Help me with this please

Answers

\( \huge \color{Lime} Answer: \)

\( \medium \color{Red} Cone\)

- E. ⅓ (pi r²) h

\( \medium \color{Yellow} Cylinder \)

- A. (pi r²) h

\( \medium \color{Purple} Rectangular Prism\)

- B. (lw) h

\( \medium \color{Green} Triangular Prism \)

- C. (½ bh) h

\( \medium \color{Blue} Rectangular Pyramid \)

- D. ⅓ (lw) h

Watch carefully because Cylinder and Rectangular Prism changed position.

A passenger train can travel, on average, 20 miles per hour faster than a freight train.
If the passenger train covers 390 miles in the same time it takes the freight train to cover 270 miles, then how fast is each train?

Answers

Answer:

The speed of the passenger train is 65 miles per hour and the speed of the freight train is 45 miles per hour.

Step-by-step explanation:

A passenger train can travel, on average, 20 miles per hour faster than a freight train.If the passenger
A passenger train can travel, on average, 20 miles per hour faster than a freight train.If the passenger

Factor by grouping plz show steps!

Factor by grouping plz show steps!

Answers

Answer:

Step-by-step explanation:

4y(y^2+6)+7(y^2+6)

answer:(4y+7)(y^2+6)

Dominic needs a new bike mirror. His old mirror was a square with a side length of 9 cm. He wants the new mirror to have an area as close as possible to his old bike mirror.

Answers

The new mirror must have at least 81 cm² of the area.

What is the area of the square?

The area of the square is defined as the product of the length and width.

As per the given question, we have

Dominic requires a new bicycle mirror. His old mirror was a square with a 9-cm side length.

He wants the replacement mirror to have an area that is as near to his previous bike mirror as feasible.

We have to determine the area of the previous bike mirror.

The area of the previous bike mirror = (side length)²

The area of the previous bike mirror = (9)² = 9 x 9

The area of the previous bike mirror = 81 cm²

So the new mirror must have greater than 81 cm² of area.

Thus, the new mirror must have at least 81 cm² of the area.

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Answer:

5 cm

Step-by-step explanation:

hope this helps

Simplify the expression 17x-24x+13x. Your answer should have the variable x in it only once.

Answers

6x

17x-24x+13x

Combine 17x and -24x to get -7x.

-7x+13x

Combine -7x and 13x to get 6x.

2. Write an equation of parabola in the standard form that has (A) Vertex: (4, -1) and passes through (2,3) (B) Vertex:(-2,-2) and passes through (-1,0)

Answers

y = (2/3)(x + 2)^2 - 2

use simpson's rule with n=4 to approximate the solution to part b at x=0.5 to three decimal places.

Answers

Using the value of ∫01x3+1dx obtained above, we can approximate the value of∫0.50x3+1dx as:Simpson's Rule ∫abf(x)dx≈b−a3n[f(a)+2∑i=12n−1f(ai)+4∑i=14n−1f(xi)+f(b)]≈15[0+2{(13)3+1}+4{(14)3+1}+13+3]≈0.7828Therefore, the solution to part b at x=0.5 to three decimal places is approximately equal to 0.7828.

The solution to part b at x

=0.5 to three decimal places using Simpson's Rule with n

=4 is given as follows:Approximate the value of∫01x3+1dx, with Simpson's Rule using n

=4 subintervals.Simpson's Rule formula for integrating a function, f(x), with n subintervals is given as:Simpson's Rule ∫abf(x)dx≈b−a3n[f(a)+2∑i

=12n−1f(ai)+4∑i

=14n−1f(xi)+f(b)]where h

=(b−a)n and xi

=a+ih for i

=1,2,3,...,n.Substituting a

=0, b=1, f(x)

=x3+1, and n

=4 in Simpson's Rule formula:∫01x3+1dx≈14[0+2{(13)3+1+(23)3+1}+4{(14)3+1+(34)3+1}+13+3]≈1.1354The value of ∫01x3+1dx is approximately equal to 1.1354, using Simpson's Rule with n

=4 subintervals. We want to approximate the solution to part b at x

=0.5 to three decimal places. Using the value of ∫01x3+1dx obtained above, we can approximate the value of∫0.50x3+1dx as:Simpson's Rule ∫abf(x)dx≈b−a3n[f(a)+2∑i

=12n−1f(ai)+4∑i

=14n−1f(xi)+f(b)]≈15[0+2{(13)3+1}+4{(14)3+1}+13+3]≈0.7828Therefore, the solution to part b at x

=0.5 to three decimal places is approximately equal to 0.7828.

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Which triangles are similar?
67%
23°
13/ 12
62
5
Triangle A
15
28
17
Triangle B
36
23°
39
67°
15
Triangle C
A. Triangles Band C
B. Triangles A and C
OC. Triangles A, B, and C
OD. Triangles A and B

Please help will give 30 pts

Answers

Triangles that are similar are A and C because they have equal angles and the sides have the same scale dimensions.

How to identify equal triangles?

To identify equal triangles we must look at the dimensions of the triangles, especially their angles and the lengths of their sides. Based on the above, we can infer that the triangles that are similar are triangle A and triangle C.

This is because both triangles have angles of 23°, 67°, and 90°. Additionally, a scale is stored between the length of its sides.

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Which triangles are similar?67%2313/ 12625Triangle A152817Triangle B3623396715Triangle CA. Triangles
Other Questions
by acting as ___ , the press allows citizens to pay more attention to what government is doing. ed and two of his friends created a lawn service business. all the neighbors knew of the business and several of them had used the service in the past. ann, a neighbor of ed's, was aware of the service and knew how much ed charged for cutting the lawns of the various neighbors. one day, she was complaining to ed that she was tired of cutting the grass on her lawn. ed asked her if she would like him to cut the grass. ann did not say a word, but smiled at the suggestion. ed proceeded to cut ann's lawn and then asked ann for payment. ann refused, saying that she had not formed a contract with ed. the matter went to court and the court found that there was a contract and ann must pay ed. the court said that any reasonable person would have expected payment as ed had expected. such a contract is known as an a group of consumers are given various types of at-home exercise equipment and are asked to use the products for 6 months. during that time, the consumers are to record in a journal their level of satisfaction with each product, noting what they liked and/or disliked about each. this is an example of . An in-store computer used to apply for a job is called:an online application.a paper application.an automated interviewer.a hiring kiosk. congress passes a law that employers must give employees up to 12 weeks unpaid leave to attend to family matters. the virginia legislature decides that this in not enough and passes a law that requires employers in virginia to provide 16 weeks unpaid leave. this law is likely: According to the National Health Survey, the weights ofindividuals are normally distributed. Men have an averageweight of 172 pounds, with a standard deviation of 29 pounds.Suppose we select 64 male students from Math 203. Find thesample standard deviation for this sample. Give your answer tothree decimal points. ss 4) A play, written to be performed by actors, is also called a Alice Allison, an agent with Winmore Securities, a registered broker-dealer, introduced some of her clients to an old college friend who was raising funds for a new start-up venture. Those who invested in the deal did so by having Alice transfer funds from their account at Winmore to the start-up. Alice did not charge or receive any compensation for doing this. Because of this limited role, Alice did not notify her supervisor at Winmore. Under the NASAA Statement of Policy on Dishonest or Unethical Business Practices of Broker-Dealers and Agents, Alice has engaged in the unethical business practice of:__________.A) churning.B) front running.C) selling away.D) sharing in accounts. Exponential Functions HELP NEEDED! DUE TODAY a marketing researcher has access to millions of transactions for the ride-sharing app, uber. after exploring the data, she hypothesizes that more talkative drivers receive lower ratings. to be sure, she conducts an experiment where she will compare the ratings between a very talkative and a very untalkative driver. which types of marketing research is she conducting? In order for a program to be considered free and open source, a user must be able to: run the program for any reason; ______; redistribute copies; _____ . find an equation for the line tangent to y=25x2 at (5,127). (a) The slope of the curve at P is nothing. ?(Simplify your? answer.) ?(b) The equation for the tangent line at P is nothing. ?(Type an? equation.) Write the expression in lowest terms. 3 45y 5y The simplified form is An elevator system in a tall building consists of a 800-kg car and a 950-kg counterweight joined by a light cable of constant length that passes over a pulley of mass 280kg . The pulley, called a sheave, is a solid cylinder of radius 0.700m turning on a horizontal axle. The cable does not slip on the sheave. A number n of people, each of mass 80.0kg , are riding in the elevator car, moving upward at 3.00m/s and approaching the floor where the car should stop. As an energy-conservation measure, a computer disconnects the elevator motor at just the right moment so that the sheave-car-counterweight system then coasts freely without friction and comes to rest at the floor desired. There it is caught by a simple latch rather than by a massive brake.(a) Determine the distance d the car coasts upward as a function of n . Evaluate the distance for at a school, 43% of students attend the homecoming football game, 48% of students attend the homecoming dance, and 23% of students attend the game and the dance. a. what is the probability that a student who attends the football game also attends the dance? express your first answer as a simplified fraction and your percent answer rounded to the tenths place. What inventory management system would you utilize for a fad item? Why? T/F: A researcher would like to compare two treatment conditions with a set of 30 scores in each treatment. If a repeated-measures design is used, the study will require n = 60 participants. Let R be the region in the first quadrant under the graph of y=1x=1 for 4x949.Find the area of R. If the line x=K= divides the region Rinto two regions of equal area, what is the value of K? Tyra buys 14 gallons of gas for $35. How could she figure out how much 1 gallon of gas cost her? A Write the fraction 14 gallons/$35, and divide the top and bottom by 35. B Write the fraction $35/14 gallons, and divide the top and bottom by 14. C Write the fraction $35/14 gallons, and multiply the top and bottom by 14. D Write the fraction 14 gallons/$35, and subtract 35 from the top and bottom. The onset of one stimulus occurs at the same moment as the onset of another. This describes a _____ conditioning procedure.a. backwardb. delayedc. traced. simultaneous