A cylinder is full at 471 cubic centimeters and has a radius of 5 centimeters. What is the height of the cylinder?

Use 3.14 for pi.

Dont forget to track your thinking on paper. You will need this answer for the next problem.

Question 7 options:

A 94.2 cm
B 18.84 cm
C 30 cm
D 6 cm

Answers

Answer 1

The height of the cylinder having a volume of 471 cubic centimetres will be 6 cm. The correct option is D.


What is the volume?

The volume of the cylinder is defined as the three-dimensional space occupied by the cylinder.

We can use the formula for the volume of a cylinder, which is given:

V = πr²h

Where V is the volume, r is the radius, and h is the height of the cylinder.

We are given that the cylinder is full at 471 cubic centimetres and that the radius is 5 centimetres. Therefore, we can plug in these values into the formula and solve for h:

471 = π(5²)h

471 = 25πh

h = 471 / (25π)

h ≈ 6 centimeters

Therefore, the height of the cylinder is approximately 6 centimetres.

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Related Questions

Solve for x show proofs please

Answers

The value of x in the triangle s 16√2

How to determine the length of x

From the question, we have the following parameters that can be used in our computation:

The triangle

The vertical side (y) can be calculated using the following equation

y/2 = (18 - 2)/y

So, we have

y^2 = 32

Take the square roots

y = 4√2

The length x is then calculated as

x^2 = y^2 + (18 - 2)^2

Substitute the known values in the above equation, so, we have the following representation

x^2 = (4√2)^2 + (18 - 2)^2

Evaluate

x^2 = 288

Take the square root

x = 16√2

Hence, the value of x is 16√2

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eric reads an article that says 15 out of 25 adults use their computer everyday. He collects data from a random sample of adults. Out of 1,270 adults, estimate the number of adults who use their computer every day. Please show your work!

Answers

The number of people that read their computer everyday out of 1270 surveyed adults using the given fraction is; 762 people

How to solve fraction problems?

Wea re told that eric reads an article that says 15 out of 25 adults use their computer everyday. Thus, fraction of those that read their computer everyday = 15/25

Now, to find the number of people that read their computer everyday out of 1270 surveyed adults using the article fraction is;

15/25 * 1270 = 762 people

This represents the number of people that read their computer everyday

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Answer:

Step-by-step explanation:(:;44(()6)!

how many pattern block triangles would create 3 hexagons

Answers

If you draw all the diagonals of a normal hexagon, there are 3*6=18 possible triangles; however, three of those are identical (the equilateral triangles), leaving us with 18-3=15 triangle possibilities.

In terms of geometry, a hexagon is a closed, six-sided polygon in two dimensions. A hexagon has six angles and six vertices. Hexa and gonio both denote the number six. A hexagon can be found in the shapes of a honeycomb, a football, a pencil face, and floor tiles. a standard hexagonal 2D geometric polygon with six equal-length sides and six equal-sized angles. All of the lines are closed, and there are no curving edges. A regular hexagon has 720 degrees of internal angles. Additionally, these shapes have six rotating and six reflective symmetries.

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10, 110, 210, 310, …
find a^30

Answers

The 30th term value is 2900.

What is an arithmetic sequence?

A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.

Given:
A sequence,

10, 110, 210, 310, …

To find the common difference:

110 - 10 = 100

So, d = 100

Remember that,

aₙ= a₁ + (n-1)d

aₙ=a₁+(n−1)d

So,

aₙ = 10 +(n−1)100.

a₃₀ = 10 + (30 - 1)100

a₃₀ = 10 + 29(100)

a₃₀ = 10 + 2900

a₃₀ = 2910.

Therefore, a₃₀ = 2910.

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A line passes through the coordinates (0,1) and 4,3). What is the y-intercept for the line in slope-intercept form

Answers

The equation of the line is y = ( 1/2 )x + 1 and the y intercept is b = 1

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 0 , 1 )

Let the second point be Q ( 4 , 3 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 3 - 1 ) / ( 4 - 0 )

Slope m = 2/4

Slope m = 1/2

Now , the equation of line is y - y₁ = m ( x - x₁ )

y - 1 = ( 1/2 ) ( x - 0 )

y - 1 = ( 1/2 )x

Adding 1 on both sides , we get

y = ( 1/2 )x + 1

Hence , the equation of line is y = ( 1/2 )x + 1

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A rocket is launched from the top of an 88-foot cliff with an initial velocity of 100 ft/sec. a. Use the vertical motion formula h(t) = -16t2 + vt + c to write an equation that represents the height of the rocket with respect to time. b. Determine how long the rocket will take to hit the ground at the base of the cliff (h = 0) after it is launched. Round to the nearest hundredth of a second.

Answers

Answer:17

Step-by-step explanation:

i took the test

“Find the length of a side of an equilateral triangle of area 10.2 m^2”

Answers

The length of the equilateral triangle = 4.8m

Given that,

The area of the equilateral triangle = 10.2 m²

The formula for the area of an equilateral triangle = [tex]\sqrt{3} /4 a^{2}[/tex]

Therefore,  

[tex]\sqrt{3} /4 a^{2}[/tex] = 10.2

[tex]a^{2}[/tex] = 10.2 × [tex]4/\sqrt{3}[/tex]

[tex]a^{2}[/tex] = 10.2 × 4/ 1.732

[tex]a[/tex] = 4.85

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In the year 2002, a company made $6.5 million in profit. For each consecutive year after that, their profit increased by 5%. How much would the company's profit be in the year 2004, to the nearest tenth of a million dollars?

Answers

7.2 million is the company's profit be in the year 2004.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

To find the company's profit in the year 2004

We have to first calculate its profit in the year 2003.

We know that its profit in 2002 was $6.5 million, so we can use the formula:

Profit in 2003 = profit in 2002 + (5% of profit in 2002)

= $6.5 + (0.05 x $6.5 )

= $6.825 million

Now, to find the profit in 2004, we use the same formula:

profit in 2004 = profit in 2003 + (5% of profit in 2003)

= $6.825  + (0.05 x $6.825 )

= $7.16625 million

profit in 2004=$7.2 million

Hence, 7.2 million is the company's profit be in the year 2004.

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l
Charlie is saving money to buy an everlasting gobstopper. He estimates that he will need $13.50. However, he forgot about the added
sales tax. The actual price of his gobstopper is $15.25. What is Charlie's percent error? (ROUND TO THE NEAREST TENTH)

Answers

The percentage error of Charlie is given by the equation A = 13 %

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the percentage error of the gobstopper be A

Now , the initial price of the gobstopper = $ 13.50

The final price of the gobstopper = $ 15.25

Now , the equation will be

The percentage error A = ( final price - initial price / initial price ) x 100

The percentage error A = [ ( 15.25 - 13.50 ) / 13.50 ] x 100

The percentage error A = ( 1.75 / 13.50 ) x 100

The percentage error A = 0.1296 x 100

The percentage error A = 12.96 %

The percentage error A = 13 %

Hence , the percentage error is 13 %

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Gabrielle wanted to spend at most $100 on new school clothes this year. But after spending $65.50 on shirts, she picked out a pair of pants that will put her over budget. Let x represent the cost of the pants. Which inequality describes the problem? Solve the inequality. Then, complete the sentence to describe the solution. The pants cost more than $ .

Answers

Answer: The pants cost more than $34.5

Step-by-step explanation:

The diagram shows a tennis ball, centre O, resting on a flat surface PQR. A ruler, PTS, rests on the ball at T. PT = 20 cm and ZTPQ = 30°. Calculate the radius of the tennis ball correct to the nearest millimetre. P 20 30°​

Answers

The radius of the ball which is the each of the smaller balls is R = 2r.

What is  volume of circle?

The formula for the volume of a sphere is V = 4/3 π r³, where V = volume and r = radius. The radius of a sphere is half its diameter. So, to calculate the surface area of a sphere given the diameter of the sphere, you can first calculate the radius, then the volume.

We can use the following formula to get the volume of a sphere whose radius is "r": A sphere's volume is equal to 4/3r³.

here, we have,

Given,

A steel ball which is melted down to make eight smaller identical balls.

If the radius of the original steel ball was 20 cm:

Let the spherical ball's radius be R.

And with r being the radius of 8 similar balls,

According to the inquiry,

Volume of 8 similar balls = the volume of a larger sphere

3/4πR³ = 8 × 3/4πr³

R³ = 8r³

R = 2r

Hence, The radius of the ball which is the each of the smaller balls is R = 2r.

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pls helppppp its math and its pretty hard
A maintenance worker needs to wax a restaurant floor shaped like the image shown. A six-sided figure. There is a horizontal base of 35 feet then another horizontal base below it of 20 feet. The longest side is to the right and is 40 feet. The top is 30 feet. There is a perpendicular from the vertex of the top to the first base of 35 that is labeled 15 feet. If the wax cost $1.38 a square foot, how much will the wax cost to cover the floor? $1,224.75 $1,569.75 $2,104.50 $2,449.50

Answers

If the wax cost $1.38 a square foot, the cost of wax to cover the area of the floor is $1,569.75.

The correct option is B.

What is the total area of the floor?

The total area of the floor is calculated from the shape of the floor.

The floor is made up of a trapezoid and a rectangle.

The area of a trapezoid can be calculated as:

A = (a + b)/2 * h

where

a and b are the lengths of the bases and h is the height.

The trapezoid has a height of 15 feet and bases of 35 feet and (20 - 20) or 10 feet. So its area is:

A = (35 + 10)/2 * 15

A = 337.5 square feet

The rectangle has a base of 20 feet and a height of 40 feet. So its area is:

A =20 * 40

A = 800 square feet

The total area of the figure is the sum of the areas of the trapezoid and triangle:

A = 337.5 + 800

A = 1137.5 square feet

Finally, to find the cost of the wax, we multiply the area by the cost per square foot:

Cost = 1137.5 * $1.38

Cost  = $1569.75

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The question is in the picture.

Answers

Answer:

x = 3 , y = 8

Step-by-step explanation:

Consider the figure to be a parallelogram.

• opposite sides of a parallelogram are congruent

then

8x = 5x + 9 ( subtract 5x from both sides )

3x = 9 ( divide both sides by 3 )

x = 3

and

7y - 16 = 5y ( subtract 5y from both sides )

2y - 16 = 0 ( add 16 to both sides )

2y = 16 ( divide both sides by 2 )

y = 8

CROWN PLEASE HELP ME (ALSO PLEASE SEPARATE IT)

Answers

Answer: WVZ=84 XVW=84   IFH= 14 EFG= 58

Step-by-step explanation:

9x-15=5x+29- do 9-5 to get 4x then 29+5 to get 44 then divide 44 by 4

6x+25=2x+3- do 6-2 to get 4x then 3-25 to get -22 then divide -22 by 4

Find the values of x and y. SHOW YOUR WORK!

Answers

⇒ 75° and (4x+9)° are co-interior angles which means when they are added they give 180°

[tex]75+(4x+9)=180\\4x=180-75-9\\4x=96\\\frac{4x}{4} =\frac{96}{4} \\x=24[/tex]

this simply means that x=24°

75° and 3y are corresponding angles, corresponding angels are equal.

this means that :

[tex]3y=75\\\frac{3y}{3} =\frac{75}{3} \\y=25[/tex]

this means that y=25°

goodluck

solve please i need help am failing class will give brainliest for the
correct answer

Answers

Answer:

9 a3 b8

Step-by-step explanation:

109 a11 b16 - 100 a8 b8


Find the sum of the largest palindrome less than 600 and the fifth smallest prime number.
A. 606
B. 617
C. 602
D. 623
E. 611

Answers

The largest palindrome less than 600 is 599. The fifth smallest prime number is 11. The sum of these two numbers is 599 + 11 = 610, so the answer is (E) 611.

What do you mean by Palindrome?

Palindromes are often used in literature, poetry, and wordplay, and are considered a form of symmetrical writing. Palindromes can be simple or complex, and can be made up of individual words or phrases. For example, "Madam I'm Adam" is a famous palindrome made up of individual words, while "Able was I ere I saw Elba" is a palindrome made up of a complete sentence.

Palindromes have been a source of fascination and inspiration for centuries, and have been studied by mathematicians, linguists, and computer scientists. Palindromic sequences have been found in DNA, and have been used in the study of genetics and molecular biology. Some palindromes are also considered to be puzzles, and are used in problem solving and critical thinking exercises.

In summary, a palindrome is a sequence of characters that reads the same backward or forward, and has been a source of interest and inspiration for centuries. They are found in literature, poetry, and mathematics, and are considered a form of symmetrical writing.

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Alice purchased a dress for $23.95, a necklace for $10.95, and a pair of
earrings for $6.79. What was the total amount of her purchase including 5%
tax?

Answers

Answer:

$43.77

Step-by-step explanation:

The total price without tax is $41.69. To add tax, we take 5% of this total (which ends up being $2.08) and add it to the total. This makes the final price $43.77.

What is:
x = 2
2x + y = 1
When graphing system of equations

Answers

Answer:

y = -3 or (2, -3)

Step-by-step explanation:

For x = 2 :

(2 ⋅ 2) + y = 1

4 + y = 1

4 − 4 + y = 1 − 4

0 + y =−3

y = −3 or (2, -3)

Can somebody help me on this? sss or sas it stands for side-side-side or side-angle-side.

Answers

Triangle PST is congruent to triangle QSR based on side-angle-side congruency theorem

What is a triangle?

A triangle is a polygon that has three sides and three angles. Types of triangles are equilateral, isosceles, scalene, right angled triangle. In an equilateral triangle, two sides are equal.

Two triangles are said to be congruent, if all angles and all sides are congruent to each other.

From the diagram:

ΔPQR is equilateral (given)

QR = PT (Given)

∠SPT = ∠RQS (Given)

PS = QS (Definition of equilateral triangle)

ΔPST ≅ ΔQSR (Side angle side congruency theorem)

Triangle PST is congruent to triangle QSR

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Reflect the triangle over the y-axis and find the coordinate of the image of point K.


K’(2, 1)
K’(–2, 1)
K’(–2, –1)
K’(2, –1)

Answers

K'(-2, 1) is the coordinate of the image of point K, found by multiplying the original x-coordinate of the point K (2) by -1. To reflect the triangle over the y-axis, the x-coordinate of each point is multiplied by -1.

What is triangle?

Triangle is a three-sided geometric shape which has three angles and three sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. A triangle can be classified as either right, obtuse, or acute depending on the measure of its angles. Right triangles have one right angle, obtuse triangles have one obtuse angle, and acute triangles have three acute angles.

The coordinate of the image of point K is K’(-2, 1). This means that the x-coordinate of the point is -2 and the y-coordinate of the point is 1. This can be found by multiplying the original x-coordinate of the point K (2) by -1. The y-coordinate of point K remains the same, so the y-coordinate of the image of point K is 1.

Therefore, the coordinate of the image of point K is K’(-2, 1).

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In theâ U.S., shoe sizes are defined differently for men andâ women, but inâ Europe, both genders use the same shoe size scale. The accompanying histogram shows the European shoe sizes of 269 male and female collegeâ students, converted from their reported U.S. shoe sizes.âa) Describe the shape.âb) How many modes does the histogramâ have? What might explainâ that?

Answers

a) The shape of the histogram appears to be roughly symmetric and bimodal.

b) The histogram appears to have two modes, explanation is given below.

c) D option is correct.

a) The shape of the histogram appears to be roughly symmetric and bimodal.

b) The histogram appears to have two modes, which may be due to the fact that the data includes both male and female students. The two modes may correspond to the average shoe sizes for men and women, respectively.

c) D option is correct. The distribution has two modes from 38 to 40 and from 44 to 46. This may be due to having data for both men and women. The lower mode might be for women and the upper for men.

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____ The given question is incomplete, the complete question is given below:

In the U.S., shoe sizes are defined differently for men and women, but in Europe, both genders use the same shoe size scale. The accompanying histogram shows the European shoe sizes of 269 male and female college students, converted from their reported U.S. shoe sizes.

a) Describe the shape.

view the histogram (The distribution is roughly symmetric and bimodal.)

b) How many modes does the histogram have? What might explain that?

c) Choose the correct answer below.

A. The distribution is multimodal, with modes from 38 to 40, from 44 to 46, and from 48 to 50. This may be due to having data for both men and women. The first two modes might be for women and the third for men.

B. The distribution has one mode from 44 to 46. This is due to the students having roughly the same mean shoe size.

C. The distribution has one mode from 38 to 40. This is due to the students having roughly the same mean shoe size.

D. The distribution has two modes from 38 to 40 and from 44 to 46. This may be due to having data for both men and women. The lower mode might be for women and the upper for men.

E. The distribution has two modes from 34 to 36 and from 44 to 46. This may be due to having data for both men and women. The lower mode might be for women and the upper for men.

F. The distribution is multimodal, with modes from 34 to 36, from 40 to 42, and from 43 to 50. This may be due to having data for both men and women. The first two modes might be for men and the third for women

G. The distribution does not have any modes, because it is uniform i Shoe Sizes Count.

The volume of a cylindrical concrete pillar is approximately 12,042 cubic centimeters. The diameter of the pillar is 10 centimeters.

What is the height of the pillar? Use π ≈3.14 .

Answers

The height of the cylindrical concrete pillar is approximately 153.2 centimeters.

What is the volume of a right circular cylinder?

Suppose that the radius of considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as;

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

Right circular cylinder is the cylinder in which the line joining center of top circle of the cylinder to the center of the base circle of the cylinder is perpendicular to the surface of its base, and to the top.

We are given that;

Diameter of pillar= 10cm

Volume = 12,042 cubic centimeters

Now,

First, we need to find the radius of the pillar. The diameter of the pillar is given as 10 centimeters, so the radius is half of that:

r = 10/2 = 5 centimeters

Now we can substitute the given volume and radius into the formula and solve for the height:

12,042 = π(5)^2h

Divide both sides by π(5)^2:

h = 12,042 / (π(5)^2)

h ≈ 153.2 centimeters (rounded to one decimal place)

Therefore, by the given volume the answer will be 153.2 centimeters.

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Text Features Central Idea Text Structure Write and explain how the text features and text structure contribute to the overall meaning of the text.​

Answers

By using effective text features and text structure, the author can help the reader to better understand and remember the central idea of the text. These elements can also make the text more engaging and interesting to read. Overall, text features and text structure are essential tools for conveying information effectively and conveying the author's intended message to the reader.

What are text features and text structure?

Generally, Text features and text structure are important components of a written text that contribute significantly to its overall meaning. The central idea of a text is the main message or thesis that the author wants to convey to the reader. The text structure is the way the author organizes the information within the text, and the text features are the visual and organizational elements of the text that help the reader navigate and understand the content.

Text features such as headings, subheadings, and bullet points help the reader to quickly identify the main ideas and subtopics of the text. Bold and italicized fonts may be used to emphasize important concepts or ideas. Images, charts, and graphs can provide visual aids that help the reader understand complex information. In addition, text features like footnotes, citations, and a bibliography can help to establish the credibility of the author and the information presented in the text.

Text structure also plays a critical role in conveying the central idea of a text. The author may use a variety of text structures, such as chronological order, cause and effect, problem-solution, or compare and contrast, to organize the information and present it in a logical and coherent manner. For example, a text about the causes and effects of climate change might use a cause and effect structure to explain how human activities are contributing to global warming and the impacts that result from this phenomenon.

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the correlation coefficient will always take values

Answers

The correlation coefficient can take values between -1 and 1, inclusive. A correlation coefficient of -1 indicates negative correlation and 1  indicates positive correlation.

A correlation coefficient of -1 indicates a perfect negative correlation, meaning that as the values of one variable increase, the values of the other variable decrease. A correlation coefficient of 1 indicates a perfect positive correlation, meaning that as the values of one variable increase, the values of the other variable also increase.

A correlation coefficient of 0 indicates no correlation, meaning that there is no relationship between the two variables. Correlation coefficients can take any value between -1 and 1, inclusive, including fractional and decimal values.

Positive values indicate positive correlation, negative values indicate negative correlation, and values close to 0 indicate little or no correlation. The magnitude of the correlation coefficient indicates the strength of the relationship between the two variables.

The closer the coefficient is to 1 or -1, the stronger the relationship between the variables.

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I need a bit of help

Answers

Answer:

I believe the solution is -12

Step-by-step explanation:

Find the value of each variable using the properties of a parallelogram

Answers

The value of x is 10.

What is Parallelogram?

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal.

Parallelogram has the property that the consecutive or adjacent angles of a parallelogram are supplementary.

That is, they sum up to 180°.

Here, (6x)° and (12x)° are supplementary.

6x + 12x = 180

18x = 180

x = 10

Hence the value of x is 10.

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Graph the equation x + 4y - 3 = 0

Answers

The graph of the function is attached below.

What is the Linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given a function x +4y -3 = 0

To graph the equation x + 4y - 3 = 0, we need to find at least two points that satisfy the equation and plot them on a coordinate plane. To do this, we can use the intercept method.

First, we can find the x-intercept by setting y = 0 in the equation and solving for x:

x + 4(0) - 3 = 0

x = 3

So the x-intercept is (3, 0).

Next, we can find the y-intercept by setting x = 0 in the equation and solving for y:

0 + 4y - 3 = 0

4y = 3

y = 3/4

So the y-intercept is (0, 3/4).

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Function w is a nonlinear function. Which representation could represent function w?

Answers

A representation that could represent function w (nonlinear function) is: D. table D.

What is a linear function?

In Mathematics, a linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

This ultimately implies that, a linear function has the same slope and it is typically used for uniquely mapping an input variable to an output variable, which both increases simultaneously.

Therefore, table D represents a non-linear function because the slope is not constant and the common difference is not constant between successive data points.

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Number of terms: 8 - 4c

Answers

The Number of terms in the expression 8 - 4c is 2.

What is an equation?

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

Terms are added or subtracted to make a polynomial. They're composed of variables and constants all in multiplication.

We are given an expression as;

8 - 4c

Here c is the variable.

The first one is 8 and the second one is 4c

Therefore, number of terms are 2

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A group of 6 friends are playing poker one night, and one of the friends decides to try out a new game. They are using a standard 52-card deck. The dealer is going to deal the cards face up. There will be a round of betting after everyone gets one card. Another round of betting after each player gets a second card, etc. Once a total of 7 cards have been dealt to each player, the player with the best hand will win. However, if any player is dealt one of the designated cards, the dealer collects all cards, shuffles, and starts over.The designated cards are: Queen of Clubs, 10 of Hearts. The players wish to determine the likelihood of actually getting to play a hand without mucking the cards and starting over.In how many ways can you deal the cards WITHOUT getting one of the designated cards? (Hint: Consider how may cards are in the deck that are NOT one of the designated cards and consider how many cards need to be dealt in order for each player to have 7 cards.)In how many ways can you deal each player 7 cards, regardless of whether the designated cards come out?What is the probability of a successful hand that will go all the way till everyone gets 7 cards? (Round your answer to 4 decimal places.)Recall, while using your calculator, that E10 means to move the decimal place 10 places to the righ Which of the following shared characteristics of living birds and theropod dinosaurs provided support to the hypothesis that birds evolved from dinosaurs?- Birds and many theropods have a wishbone (or furcula)-Birds and theropods have hollow bones that are strong, but light-Birds and theropods have S-shaped necks-Birds and many theropods have feathers. Create an imaginary profile for someone who CAN be claimed as a dependent and someone who CANNOT be claimed as a dependent on taxes. Be sure to include their age and at least TWO details that explain why they can or cannot be claimed as a dependent. Describe the Global poverty Scenario as the studied by the World Bank ....Full explanation... Find the percent of the quantity.150% of 56 = Consider the Cobb-Douglas production function: Y = zK^a N^1-a where Y is output, z is total factor productivity, K is capital, N is labor employed, and is the share of capital in the production function.1. Write down the problem of the firm using the Cobb-Douglas production function2. Derive the optimality condition of the firm and provide an interpretation.3. Show that the optimality condition of the rm can be written as a=1wN/Ywhere w is the real wage.Please, answer this as a firm situatione.g. zF(K,Nd)pie = YwNdpie = zF(K,Nd)wNdThe firms problem is then: max zF(K,N^d)-wN^d N^d takeAssignment/takeAssignment Main.do?inprogress-trueSandpiper Company has 25,000 shares of cumulative preferred 2% stock, $150 par and 50,000 shares of $15 par common stock. The following amounts weredistributed as dividends:20Y120122013$150,00030,000225,000Determine the dividends per share for preferred and common stock for each year. Round all answers to two decimal places. If an answer is zero, enter "0".Preferred Stock(dividends per share)201120122013FeedbackXCommon Stock(dividends per share)Check My WorkXCheck My WorkDetermine what amount of current dividends that preferred stock should receive per year.< OKeep in mind that the question is asking for a dividend per share for each year and class of stock, rather than the total amount to be distributed toeach class of stock.Previous In Part H, you discovered that the luminosity of a light bulb increases if the current increases. The rate at which electric potential energy is converted into heat depends on the current flowing through the bulb and the voltage across the bulb. This energy is supplied by the battery. Mathematically, the luminosity P of the light bulb is given by P=AVI, where AV is the voltage across the bulb and I is the current.What happens to the luminosity of the light bulb if the voltage of the battery is doubled? (Note that the PhET simulation does not display a numerical value for the luminosity, so you should use the relationship between the luminosity, the voltage across the bulb, and the current.)The luminosity does not change. The luminosity doubles. The luminosity increases by a factor of four. The luminosity increases by a factor of eight. An auditor withdrew from further association with a nonissuer entity after issuing an audit report on it. Subsequently, the auditor discovered facts that, if known to the auditor at the date of the auditor' s report, could have caused the auditor to revise the report. Which of the following statements about this circumstance is correct?A. . The auditor should talk with the successor auditor about the circumstances of the subsequently discovered information and advise whether the financial statements should be revised.B. The auditor should extend audit procedures with regard to management' s revised financial statements with the objective of expressing a dual-dated qualified opinion.C. The auditor should discuss the matter with management and, if it is determined that the financial statements need revision, ask how management intends to address the matter in the financial statements.D. Because the auditor is no longer associated with the entity, the auditor has no further responsibilities with regard to the financial statements. what happens when a charged insulating object is brought near an uncharged conducting object without touching it? Based on their positions in the periodic table, predict which has the largest first ionization energy: Mg, Ba, B, O, Te.answer choicesMgBaBOTe what are the ordered pairs of the solution for this system of equations f(x) = x^2 -2x+3 ; f(x) = -2x + 12 What do we call chromosomepairs 1-22?A. karyotypeB. Sex chromosomesC. Autosomal chromosomesD. Gametes Evaluate 4y x if x = 2 and y =5 the data set shows the numbers of hours students study the week before the a test. find an interpert the mean absolute deviation of the data.1, 2, 5,5,5,5,6,7,8,9. Which of the following statements about the Articles of Confederation is TRUE?A Foreign governments were responsible for the Rev war debtB The state governments were responsible for the rev war debtC The federal gov was responsible for the rev war debt The energy that produces a response in the sense organs is called a:________ What is stoichiometry formula? as a member of the crisis management team, you are required to attend our biannual crisis management workshops. these workshops will prepare you to lead your division in the event of a company crisis. the workshops always take place during the second week in january, and they are held at our headquarters in dallas, texas. workshop registration information is available on the company website. identify the function of the sentence the workshops always take place during the second week in january, and they are held at our headquarters in dallas, texas. a. support sentence b. topic sentence 6. Write the unit rate for the following: a) Kate sews 100 dresses in a 20 day month. b) Kim runs 5 km in 30 minutes.