why does the decimal point always have to move when you rewrite a percent as a decimal and when you rewrite a decimal as a percent?

Answers

Answer 1

Answer:

When you rewrite a percent as a decimal, you need to move the decimal point two places to the left because a percent is a ratio that compares a number to 100. For example, 50% is the same as 50/100 or 0.5. To convert 50% to a decimal, you need to divide 50 by 100, which gives you 0.5. Moving the decimal point two places to the left achieves the same result.

Similarly, when you rewrite a decimal as a percent, you need to move the decimal point two places to the right because a percent expresses a number as a fraction of 100. For example, 0.75 is the same as 75/100 or 75%. To convert 0.75 to a percent, you need to multiply it by 100, which gives you 75. Moving the decimal point two places to the right achieves the same result.

Step-by-step explanation:


Related Questions

what is 46x squared times 24x squard​

Answers

Answer:

the answer to ur question is: 1218816

-8x253.96 pls help if you can because i'm stuck on this problem, so please help if you can.

Answers

The correct answer is -2031.68

There are 2 boys and 2 girls working on an art project. They are sharing 10 ounces of paint equally. How much paint should each child get? show work

Answers

Answer:

2.5 oz each

Step-by-step explanation:

2 boys and 2 girls

10 divided by 2 is 5, 5 is not an even number.
there would be 2 left after our calculation.
meaning that 2 in half's (hence .5)  is 4 so each child would get 2.5 oz of paint.

Hope this helps, thanks :)

Answer: 2 1/2

Step-by-step explanation:

Sal stands a candle up inside a paper bag, opened at the top. The candle and bag are both in the shape of right rectangular prisms. The dimensions, in inches, are given.


Length Width Height

Bag 2 4 8

Candle 1 2 3

Sal wants to put sand inside the bag surrounding the base of the candle. He wants the sand to be between 12 and 34 inches deep. How much sand, in cubic inches, should Sal put inside the bag? Select your answers from the drop-down lists

Answers

Sal should put the sand which is in between the amount of 3 cubic inches and 4.5 cubic inches inside the bag surrounding the base of the candle.

Base area of the bag = 4 × 2 = 8 in²

Base area of the candle = 2 × 1 = 2 in²

therefore, we know that base area to be filled with sand:

= 8 - 2 = 6 in²

now, height of sand is known to be between 1/2 and 3/4 inches,

therefore, we can make out that the volume of land is between 6 × 1/2 in³ and 6 × 3/4 in³

3 in³ and 4.5 in ³

therefore, amount of sand is between 3 cubic inches and 4.5 cubic inches, with this we know that Sal should put the sand which is in between the amount of 3 cubic inches and 4.5 cubic inches inside the bag surrounding the base of the candle.

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help would be appreciated

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Ima download a calculator for u to find the answer out

The number of bald eagles in a state during the winters from 1996 to 2002 can be modeled by the quartic function ​f(x)equalsnegative 3. 439 x Superscript 4 Baseline plus 35. 952 x cubed minus 99. 139 x squared plus 41. 541 x plus 178. 192 where x is the number of years since 1996. Find the number of bald eagles in the state in the winter of 1999

Answers

The number of bald eagles in the state in the winter of 1999 is 273.909, where The number of bald eagles in a state during the winters from 1996 to 2002 can be modeled by the quartic function.

by the given information the equation is

[tex]f(x) = -3.439(x)^4 + 35.952(x)^3 - 99.139(x)^2 + 41.541(x) + 178.192[/tex]

where x = number of years since 1996

The given quartic function must be changed to x = 3 in order to determine the number of bald eagles in the state during the winter of 1999:

[tex]f(3) = -3.439(3)^4 + 35.952(3)^3 - 99.139(3)^2 + 41.541(3) + 178.192[/tex]

When we condense this expression, we get:

f(3) = -3.439(81) + 35.952(27) - 99.139(9) + 41.541(3) + 178.192

f(3) = -1107.759 + 970.104 - 892.251 + 124.623 + 178.192

f(3) = 273.909

Hence, in the winter of 1999, there were roughly 273.909 bald eagles in the state.

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A group of Physicians must build an addition to their existing private clinic. They are considering three different sized additions; a small addition, a medium addition and a large addition. If the medical demand is high (there is a favorable market for the addition) they would realize a net profit of $100,000 with a large addition, a net profit of $40,000 with a medium addition and a net profit of $10,000 with a small addition. If the medical demand is low (there is an unfavorable market for the addition) they would realize a net loss of $40,000 with the large addition, a net loss of $10,000 with the medium addition and a net profit of $5,000 with the small addition. The Physicians were also able to assign the following utility preference values to each of the potential payoffs they could encounter. Utility of $100,000 is 1.0, U ($40,000) is 0.9, U ($10,000) is 0.6, U ($5,000) is 0.5, U ($-10,000) is 0.4, and U ($-40,000) is 0.0. The physicians also have a reliable forecast indicating a 40% probability of the high medical demand. Using expected monetary value theory, what should they do and what is the expected value of that decision? Using expected utility theory, what should they do and what is the expected utility of that decision?

Answers

Therefore , the solution of the given problem of probability comes out to be the medium addition because it has the greatest expected utility (0.72).

What is probability, exactly?

The primary goal of the structures within a methodology expression known as criteria is to provide an indication of the probability that the assertion is true or that a specific event will occur. Any number between zero and one, at which 0 is frequently indicated as a possibility and 1 has frequently used to denote a level of confidence, can be used to represent chance. The chance that a specific event will occur is displayed in a probability diagram.

Here,

The following formula can be used to determine each option's anticipated financial value:

=> EMV of big addition =  (0.4 * $100,000) plus (0.6 * -$40,000) for a total of $16,000.

=>  EMV of the middle addition is

= (0.4 * $40,000) plus (0.6 * -$10,000) for a total of $14,000.

=>  EMV of a minor addition =  (0.4 * 10,000) plus (0.6 * 5,000), which equals $6,000

The large addition should be chosen by the physicians as it has the greatest expected financial value of $16,000.

dividing each outcome's usefulness value by its likelihood, then adding the results:

=> (0.4 * 1.0) + (0.6 * 0.0) = 0.4 is the EU of the big addition.

=> (0.4 * 0.9) + (0.6 * 0.6) = 0.72 is the EU of medium addition.

Smaller EU =  (0.4 * 0.5) +  (0.6 * 0.6) = 0.58

The doctors should choose the medium addition because it has the greatest expected utility (0.72), according to expected utility theory.

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it is known that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.5 minutes and a standard deviation of 1 minute, 75 % of the colege students will take more than how many minutes when trying to find a parking spot in the library parking lot? O A. 32 minutes B. 42 minutes C. 28 minutes O D. 3.4 minutes

Answers

75 % of the college students will take more than 4.25 minutes when trying to find a parking spot in the library parking lot.

What is experimental probability?

Actual experiments and sufficient documentation of the occurrence of occurrences serve as the foundation for experimental probability, sometimes referred to as empirical probability. A number of real experiments are carried out in order to ascertain the likelihood of any event. Random experiments are studies that don't have a predetermined outcome. The results of such tests are unpredictable. The chance of random experiments is calculated repeatedly. A trial is a repeating of an experiment that is performed a certain number of times.

Given that, mean of 3.5 minutes and a standard deviation of 1 minute.

Now, for 75% we have:

P(X > x) = 0.75

The z-score is given by:

0.75 = (X - μ) / σ

Substituting the formula we have:

0.75 = (X - 3.5) / 1

0.75 = X - 3.5

X = 0.75 + 3.5 = 4.25.

Hence, 75 % of the college students will take more than 4.25 minutes when trying to find a parking spot in the library parking lot.

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I need to know the answer asap

Answers

256 is the lateral surface area.

What's the lateral surface area?  

Side indicates the side of  commodity. thus, lateral surface area is  set up by chancing  the  face area of the sides of the object.

                                 This is done by chancing  the border of the base and multiplying it by the height of any three- dimensional figure.

For the given situation,

The sides of the triangle are 5 cm, 6 cm, 5 cm.

The length of the prism = 16 cm

The formula for lateral surface area of triangular prism is

LSA = (perimeter)(length)

On substituting the above values,

 LSA = (5 + 6 + 5)(16)

        = (16)(16)

         = 256

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Challenge A store is giving out cards labeled 1 through 10 when customers enter the store. If the card is an even number, you get a 10% discount on your purchase that day. If the card is an odd number greater than 6, you get a 30% discount. Otherwise, you get a 25% discount. The table shows the results of 200 customers. What is the relative frequency for each discount? Use pencil and paper. If the manager of the store wants approximately half of the customers to receive the 25% discount, does this seem like an appropriate method? explain

Answers

Answer: To find the relative frequency for each discount, we need to divide the number of customers who received each discount by the total number of customers.

Discount           Number of customers                          Relative Frequency

10%                    70                                                            0.35

25%                   99                                                            0.495

30%                   31                                                             0.155

To determine if it is appropriate for the manager to want approximately half of the customers to receive the 25% discount, we can calculate the relative frequency for the 25% discount and compare it to 0.5 (or 50%).

Relative frequency for 25% discount = 99/200 = 0.495

Since the relative frequency for the 25% discount is already very close to 0.5, it seems like an appropriate method to achieve the manager's goal. However, it's worth noting that this method may not be the most effective in terms of maximizing profits or customer satisfaction. It's always important for businesses to carefully consider their pricing strategies and discount policies.

Step-by-step explanation:

Do the three lines 5x - y = 7, x + 3y = 11, and 2x + 3y = 13 have a common point of intersection? If so, find it. if not, explain why not .

Answers

Answer:

429

Step-by-step explanation:

What will be the coordinates of point G after
a 90° counterclockwise rotation about the
origin?

Answers

So, if we have the original coordinates of point G, we can swap the x and y values and negate the new y-value to find the coordinates of point G after a 90° counterclockwise rotation about the origin.

To perform a 90° counterclockwise rotation about the origin, we can use the following transformation:

x' = -y

y' = x

This means that the new x-coordinate (x') will be the negative of the original y-coordinate (y), and the new y-coordinate (y') will be the original x-coordinate (x).

If we have the coordinates of point G, we can apply this transformation to find the new coordinates after the rotation.

Let's say that the coordinates of point G are (x, y). Then, the new coordinates (x', y') after the rotation will be:

x' = -y

y' = x

So, the new coordinates will be (-y, x). Therefore, if we want to find the new coordinates after a 90° counterclockwise rotation, we just need to swap the x and y values and negate the new y-value. This gives us the following coordinates for point G after the rotation:

G' = (-y, x)

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Points C and D are plotted on a graph.
C has coordinates (1, -5) and D has coordinates (6, 4)
Calculate the length of the line segment CD.
Leave your answer to 2 decimal places.

Answers

Answer:

The length of line segment CD is 10.3 units (rounded to 2 decimal places).

Step-by-step explanation:

To find the length of line segment CD, we need to use the distance formula, which is:

Distance = √[(x2 - x1)^2 + (y2 - y1)^2]

Here, (x1, y1) = (1, -5) and (x2, y2) = (6, 4).

So, substituting these values in the distance formula, we get:

Distance = √[(6 - 1)^2 + (4 - (-5))^2]

= √[5^2 + 9^2]

= √(25 + 81)

= √106

≈ 10.3 (rounded to 2 decimal places)

Therefore, the length of line segment CD is 10.3 units (rounded to 2 decimal places).

Hope this helps!

A = 1/2bh or A = bh/2

Area: 256.5 cm2

base: 27cm
What is the height?

Answers

Answer is 19cm

Step by step

We know
Formula for area is A=1/2bh
Area is 256.5
b is 27

Plug these into your formula for Area and solve

256.5 = 1/2 (27) h

256.5 = 13.5 h

Divide both sides by 13.5 to solve for h

256.5/13.5 = 13.5/13.5 h

19 = h

Your height is 19cm

What is the remainder when \( f(x)=-6 x^{23}+x^{11}-x^{6}+2 x \) is divided by \( x+1 \) ? The remainder is

Answers

The remainder when f(x)=-6x^23+x^11-x^6+2x is divided by x+1 is -7.

Explanation: In this question, we can solve the problem by using the Remainder Theorem. The remainder theorem states that when we divide a polynomial f(x) by x−a then we get a remainder equal to f(a). So, here we can take a=−1 and find the remainder of f(x).

Here is the given polynomial,

()=−6^23+^11−^6+2

We are asked to find the remainder when f(x) is divided by x+1. Using the remainder theorem, we can find the remainder of f(x) by evaluating f(−1).

(−1)=−6(−1)^23+(−1)^11−(−1)^6+2(−1)=6+1+1−2=6

Now, we have the remainder as 6. However, we need the remainder when f(x) is divided by x+1. The relationship between the remainder and the divisor of a polynomial is that when we divide a polynomial f(x) by x−a, we get a remainder of r(x) such that:

()=(−)()+()

where q(x) is the quotient of the division.

So, the question asks us to divide the polynomial f(x) by x+1 and get the remainder. Here is the long division of f(x) by x+1:

The remainder is −7. Therefore, the remainder when f(x) is divided by x+1 is -7.

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What is the advantage
of a two-way relative frequency table for
showing relationships between sets of
paired data?

Answers

A two-way relative frequency table, in general, is an effective instrument for analysing paired data because it offers a succinct and clear summary of the relationship between the variables, enabling us to spot patterns and conduct methodical hypothesis testing.

A tool used to display the connection between two sets of paired data is a two-way relative frequency table, which arranges the data in rows and columns. The frequency of each combination is indicated in the chart, which can also be used to determine its relative frequency, which is calculated as the frequency of the combination divided by the total number of observations.

The benefit of using a two-way relative frequency table to illustrate relationships between pairs of paired data is that it gives a more comprehensive image of the data and the interrelationships between the variables. More specifically, it enables us to:

Finding patterns and trends is simple thanks to the table's presentation of the data. We can see which combinations are more or less prevalent than others by examining the relative frequencies of each set of values, and we can spot patterns in the data that might not be obvious otherwise.

Calculate conditional probabilities: Conditional probabilities are the likelihoods of one event given the occurrence of another event, and they can be determined using the chart. We can determine the likelihood that a smoker is male or female and the likelihood that a non-smoker is male or female, for instance, if we have a two-way table illustrating the connection between gender and smoking status.

Testing hypothesis: The table can be used to evaluate theories about how the variables are related to one another. A chi-square test, for instance, can be used to determine whether gender and smoking status are significantly associated.

In general, a two-way relative frequency table is an effective tool for analysing paired data because it offers a succinct and clear summary of the relationship between the variables, enabling us to spot patterns and test theories in a methodical manner.

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Hello!
Please help me for this geometry problem
I appreciate it!

Answers

Answer:

x = 48

Step-by-step explanation:

given a line parallel to a side of a triangle and it intersects the other two sides, it divides those sides proportionally, that is

[tex]\frac{x}{18}[/tex] = [tex]\frac{56}{21}[/tex] ( cross- multiply )

21x = 18 × 56 = 1008 ( divide both sides by 21 )

x = 48

Use substitution to solve the system of equations. Show your work.
Check your answer to show proof that the solution works in each equation.

[tex]4x+y=14\\y=8+2x[/tex]

Answers

Solve for the first variable in one of the equations, then substitute the result into the other equation.
x=1

Answer:

x = 1 , y = 10


Step-by-step explanation:


Given : y = 8 + 2x

by substitution,

4x + 8 + 2x = 14
6x + 8 = 14
6x = 14 - 8
6x = 6
x = 6/6 = 1


y = 8 + 2x
y = 8 + 2(1)
y= 10

Proof :
if x = 1,

4 (1) + 8 +2 (1) = 14
4 + 8 + 2 = 14
14 = 14

if y = 10 and x = 1

4 ( 1) + 10 = 14
4 + 10 = 14
14 = 14



For both equations, LHS = RHS
Therefore Proved.



hope it helps!

PLEASE HELP!! I ONLY NEED HELP WITH THE LAST PART (ASKING AVERAGE SPEED)

Answers

Answer:

429

Step-by-step explanation:

Determine the eccentricity for r=5/2+1sin theta


0. 5


5


2


1


Determine the equation of the directrix of r=26. 4/4+4. 4 cos theta


X=-6

Y=6

X=6

Answers

The eccentricity for r=5/2+1sin theta and  the equation of the directrix of r=26. 4/4+4. 4 cos theta is 0.5 and x=6

To find the eccentricity of the polar equation r = 5/2 + 1sin(θ), we first need to convert it to rectangular form:

r = 5/2 + 1sin(θ)

r = 5/2 + 1y/r

r^2 = (5/2)r + y

x^2 + y^2 = (5/2)r + y

x^2 + y^2 = (5/2)√(x^2 + y^2) + y

x^2 - (5/2)√(x^2 + y^2) + y^2 = 0

We can see that this is the equation of a conic section, specifically an ellipse, since the signs of the x^2 and y^2 terms are the same. The standard form of an ellipse centered at the origin is:

x^2/a^2 + y^2/b^2 = 1

Comparing this to our equation, we can see that a^2 = (5/2) and b^2 = 1. The eccentricity of an ellipse is given by:

e = √(1 - b^2/a^2)

Plugging in our values, we get:

e = √(1 - 1/(5/2))

e = √(3/5)

e ≈ 0.5

Therefore, the answer is (A) 0.5.

To find the equation of the directrix for the polar equation r = 26.4/4 + 4.4cos(θ), we first need to convert it to rectangular form:

r = 26.4/4 + 4.4cos(θ)

r = 6.6 + 4.4x/r

r^2 = 6.6r + 4.4x

x = (r^2 - 6.6r)/4.4

We can see that this is the equation of a parabola, since the highest degree of the variable r is 2. The standard form of a parabola with its focus at (0, p) is:

y = (1/4p)x^2

Comparing this to our equation, we can see that p = -6.6/4 = -1.65. The directrix of a parabola is a line perpendicular to the axis of symmetry and located at a distance of |p| from the focus. Since the axis of symmetry is the x-axis, the equation of the directrix is:

y = 1.65

However, since the question asks for the equation of the directrix in terms of x, we can rewrite this as:

x = 0

Therefore, the answer is (C) x = 6.

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Please help me with this needs to be done by today thanks

Answers

Answer:

cubic unit eg m³

Step-by-step explanation:

Raised to power 3

Answer:

Units cubed or unit^3

Explanation:

Volume= (base)(width)(height), therefore, this would be cubed. x^3

Area=(base)(height), therefore, this would be squared. x^2

The graph plots four equations, A, B, C, and D:

Line A joins ordered pair negative 6, 16 and 9, negative 4. Line B joins ordered pair negative 2, 20 and 8, 0. Line C joins ordered pair negative 7, negative 6 and 6, 20. Line D joins ordered pair 7, 20 and 0, negative 7.

Which pair of equations has (4, 8) as its solution?

Equation A and Equation C
Equation B and Equation C
Equation C and Equation D
Equation B and Equation D

(It is not option D or A)

Answers

Answer: To find the equation that passes through (4, 8), we need to check which equation contains that point.

Line A has an equation of y = (2/5)x + (194/5). Plugging in x = 4, we get y = (2/5)(4) + (194/5) = 198/5, which is not equal to 8.

Line B has an equation of y = (-5/5)x + 30. Plugging in x = 4, we get y = (-5/5)(4) + 30 = 26, which is not equal to 8.

Line C has an equation of y = (13/13)x - 7. Plugging in x = 4, we get y = (13/13)(4) - 7 = -3, which is not equal to 8.

Line D has an equation of y = (-27/7)x + (491/7). Plugging in x = 4, we get y = (-27/7)(4) + (491/7) = 377/7, which is not equal to 8.

Therefore, none of the given equations has (4, 8) as its solution.

Step-by-step explanation:

The cost price of an article when 22% profit is made after selling it for 's'

Answers

The cost price of the article when a profit of 22% is made after selling it for a certain price 's' can be calculated using the formula c = 0.78 * s.

Let's assume the cost price of the article is 'c'. Then, the profit made on selling the article is:

Profit = Selling price - Cost price

Since a profit of 22% was made on the selling price 's', we can express the selling price as:

Selling price = Cost price + Profit

= Cost price + 0.22 * Selling price

Rearranging this equation, we get:

0.78 * Selling price = Cost price

Substituting the given selling price 's' into this equation, we get:

0.78 * s = c

Therefore, the cost price of the article is 0.78 times the selling price. If we know the selling price 's', we can calculate the cost price 'c' using this formula. For example, if the selling price of the article is $100, then the cost price would be:

c = 0.78 * s

= 0.78 * $100

= $78

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Isabel left her home at 11. 30 A. M. She took 45 minutes to jog to the park.


After exercising for 1 hour 55 minutes, she jogged home. She reached home at 3 P. M.


How long did she take to jog home? Explain how you got to this answer

Answers

Answer:  1 hour 50 minutes  

Step-by-step explanation: it took her 2 hours to get home

she left home at 11:30 am it took her 45 minutes to jog to the park by the time she got to the park it was 12:15 pm she exercised for  1 hour and 55 minutes by the time she was done her work out it is 1:10 if she finished at 3 pm it took her 1 hour 50 minutes to get home

Letter answer only answer only!​

Answers

Answer:  B

Step-by-step explanation:

The answer is :B which is 0.33

Which of the following rectangles has an area that can be represented by the algebraic expression 9x+9
?

Responses


Image with alt text:


Image with alt text:


Image with alt text:


Image with alt text:

Answers

Answer: we can't see the images

Step-by-step explanation:

Answer:

Step-by-step explanation:

be can not see the pictures sir do better ni***

You spend a $5 per turn on a fair game to win $15 for each winYou lose the first round but win the next two rounds. What was the net payoff ?

Answers

If you spend a $5 per turn on a fair game to win $15 for each win and you lose the first round but win the next two rounds, then the net payoff is $15

Since you spend $5 per turn and play three rounds, your total cost is $5 x 3 = $15.

If you win a game, you receive $15, so winning two games will give you $15 x 2 = $30.

However, since you lost the first round, you only won two out of three rounds. Therefore, your net payoff is:

= $30 - $15

Subtract the numbers

= $15

Therefore, your net payoff is $15

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There are 2 boys and 2 girls working on an art project. They are sharing 10 ounces of paint equally. How much paint should each child get?

Answers

Answer:

2 ounces per person

Step-by-step explanation:

At the shelter 0.6 of the animals are dogs, If there are 260 totally animals how many are not dogs?

Answers

Answer: 104

Step-by-step explanation:

If .6 or 60% of the animals in the shelter are dogs, then we can multiply .6 by 260 to get how many are dogs.

.6 times 260 is 156.

260-156=104.

A mixture of 50 liters of paint is 25% red tint, 30% yellow tint and 45% water.

5 liters of yellow tint are added to the original mixture.

The percent of yellow tint in the new mixture is ____?

Answer must be correct to 1 decimal place

Answers

From the given information provided, the percent of yellow tint in the new mixture is 36.4%.

The total amount of yellow tint in the original mixture is:

0.30 × 50 liters = 15 liters

When 5 liters of yellow tint are added to the mixture, the total amount of yellow tint becomes:

15 + 5 = 20 liters

The total amount of new mixture is:

50 + 5 = 55 liters

To find the percentage of yellow tint in the new mixture, we divide the amount of yellow tint by the total amount of the mixture and multiply by 100:

(20/55) × 100 = 36.4%

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How does beginning the story with the statue's historycontribute to its significance in the disagreement betweenJames and his mother? What type of foam system will be found at a property that stores large quantities of flammable and combustible liquids?A.Hybrid foamC.High expansionB.Low expansionD.Medium expansion Use the drawing tool to sketch the graph and label its parts. The Renaissance in Europe was characterized by which of the following social changes? Reawakening of interest in Greek and Roman arts and culture Increase in rational and scientific pursuits Artists were supported by wealthy patrons to increase their patrons prestige ramon understands that if a is bigger than b, and b is bigger than c, then a must also be bigger than c. this shows that he has mastered: ramon understands that if a is bigger than b, and b is bigger than c, then a must also be bigger than c. this shows that he has mastered: transitivity reversibility of thought conservation seriation SKETCHPADQuestion 9An online store sells plain rings for $3 each and rings decorated with initials for $4 each.Tyler makes a table to compare the costs of the rings. Complete the pattern in the first twocolumns of the table. Then, write the ordered pairs for the corresponding terms in thethird column.aD+PENCILTHIN VBLACK VCost of plain rings (x) Cost of initial rings (y)(in dollars)(in dollars)00(((Ordered Pairs(x, y)(0, 0))))) Im which of the following energy sources is not derived directly or indirectly from solar energy? responses biomass biomass geothermal geothermal hydroelectric hydroelectric wind In order for an amendment to be added the Constitution, 3/4's of the states must ___________ it. Father's age is five times than the son's age. If the sum of their ages is 60 years, find their present ages. what is the best software company in Hyderabad? an investigator is measuring the current in a photoelectric effect experiment. the cathode is illuminated by light of a single wavelength. what happens to the current if the wavelength of the light is reduced by a factor of two while keeping the intensity constant? Suppose that a monopolist faces a demand function P=20-Q. Suppose that the monopolists marginal cost is 15 regardless of how many units the monopolist produces. Answer the following series of questions. What is the total surplus created? Now suppose that this monopolist operated as if it were a perfectly competitive firm. Answer the next series of questions under this assumption. What is the total surplus created? What would be a result of the Federal Reserve using Open Market Operations? Graph the solution to the following system of inequalities in the coordinate plane.y < -2x - 4x -3 choice of lawThe producer of an organic pet food shipped his products nationwide. His business and production offices were located in State A, the state in which he lived. After one pet owner's animal became sick due to toxins that had leaked into the producer's production supply, the owner filed a lawsuit in federal district court based on diversity jurisdiction in State B, the state in which he lived. A federal food regulation act governed the processes for how nutrition, including that applicable to animals, should be regulated. The producer did not meet those regulations, but did meet the lower standards required by State B. If the district court applied the State B statute, the producer would be absolved of any liability.Must the district court enforce the federal statute? If 9% of a number equals 10, find 27% of that number. A teacher just asked everyone to measure a segment on a worksheet. Based solely on the data, which measure of central tendency should be used based on the following measurements: 8. 3 cm, 8. 4 cm, 8. 8 cm, 8. 2 cm, 8. 3 cm, 8. 0 cm, 8. 1 cm, 8. 5 cm 1. Identify What is gravity? What determines the gravitational force between objects? Jackson Co. has the following balance sheet as of December 31, 2001.Assets:Claims:Current assets$ 600,000Accounts payable$ 100,000Fixes assets400,000Accruals100,000Notes payable100,000Long-term debt300,000___________Total common equity400,000Total assets$1,000,000Total claims$1,000,000In 2001, the company reported sales of $5 million, net income of $100,000, and dividends of $60,000. The company anticipates its sales will increase 20 percent in 2002 and its dividend payout will remain at 60 percent. Assume the company is at full capacity, so its assets and spontaneous liabilities will increase proportionately with the increase in sales.Assume the company uses the AFN formula and all additional funds needed (AFN) will come from issuing new long term debt. Given its forecast, how much long-term debt will the company have to issue in 2002? Show work Read the following excerpt, then select the correct answer.The text is an excerpt from President Harry Truman's "Truman Doctrine" address before a joint session of Congress in 1947.It is necessary only to glance at a map to realize that the survival and integrity of the Greek nation are of grave importance in a much widersituation. If Greece should fall under the control of an armed minority, the effect upon its neighbor, Turkey, would be immediate and seriousConfusion and disorder might well spread throughout the entire Middle East. Moreover, the disappearance of Greece as an independent statewould have a profound effect upon those countries in Europe whose peoples are struggling against great difficulties to maintain their freedomsand their independence while they repair the damages of war.How does this passage from the Truman Doctrine speech illustrate the domino theory?O A. .It emphasizes the importance of economic development to spreading democracy.It recognizes that repairing the damages of war was the best way to prevent communism. c.It argues that people should be able to maintain their freedom and independence.D. It demonstrates the belief that the future of one country will affect others as well.