Choose the function with the largest constant of variation.​

Answers

Answer 1

Answer:

he answer is the third one

Step-by-step explanation:

I did it on edge


Related Questions

2.7 you roll a 1 on each of the dice (r, g, and b), or a 2 on each of the dice (r, g, and b). a. 1/6 b. 1/36 c. 1/108 d. 1/216 e. 1/2

Answers

The question presents a scenario where three dice, represented by the colors red (r), green (g), and blue (b), are rolled. The possible outcomes are either rolling a 1 on each die or rolling a 2 on each die. The task is to select the option that represents the probability of this event.

To calculate the probability of rolling a 1 on each die or a 2 on each die, we need to determine the probability of rolling a 1 or a 2 on a single die and then multiply these probabilities together for each die. The probability of rolling a 1 or a 2 on a single die is 1/6, as there are six equally likely outcomes on a standard six-sided die. Since we have three dice and the events are independent, we multiply the probabilities together: (1/6) × (1/6) × (1/6) = 1/216. Therefore, the option that represents the probability of this event is d) 1/216.

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Use the theorem in Sec. 77, involving a single residue, to evaluate the integral of f (z) around the positively oriented circle |z| 3 when intergral c f(z) dz, f(z) = (z^3(1-3z))/(1+z) (1+2z^4)

Answers

The integral of f (z) around the positively oriented circle |z| = 3 is equal to 2πi times the sum of the residues of the poles of f (z) inside the circle.

The poles of f (z) inside the circle are z = 0 and z = −1/2.

The residue at z = 0 is f (0) = 0.

The residue at z = −1/2 is f (−1/2) = −7/16.

Therefore, the integral of f (z) around the positively oriented circle |z| = 3 is equal to 2πi (−7/16) = −7πi/8.

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The graph shows the relationship between the number

of cups of flour and the number of cups of sugar in

Angela's brownie recipe.

The table shows the same relationship for Jaleel's

brownie recipe.

Jaleel and Angela buy a 12-cup bag of sugar and divide

it evenly to make their recipes.

If they each use ALL of their sugar, how much FLOUR

do they each need?

Answers

Angela's use 6 cups of flour and Jaleel's use 19/3 cups of flour.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The graph shows the relationship between the number of cups of flour and the number of cups of sugar in Angela's brownie recipe.

And, The table shows the same relationship for Jaleel's brownie recipe.

Hence, The equation for Angela's brownie recipe is,

Two points on graph are (4, 2) and (2, 1)

⇒ y - 2 = (2 - 1)/ (4 - 2) (x - 4)

⇒ y - 2 = 1/2 (x - 4)

⇒ y - 2 = 1/2x - 2

⇒ y = 1/2x

And, The equation for Jaleel's brownie recipe is,

Two points on graph are (3/2, 1) and (3, 2)

⇒ y - 1 = (2 - 1)/ (3 - 3/2) (x - 4)

⇒ y - 1 = 2/3 (x - 4)

⇒ y - 1 = 2/3x - 8/3

⇒ y = 2/3x - 8/3 + 1

⇒ y = 2/3x - 5/3

So, For Jaleel and Angela buy a 12-cup bag of sugar.

The equation for Angela's brownie recipe is,

⇒ y = 1/2x

⇒ y = 1/2 × 12

⇒ y = 6

The equation for Jaleel's brownie recipe is,

⇒ y = 2/3x - 5/3

⇒ y = 2/3 × 12 - 5/3

⇒ y = 19/3

Thus, Angela's use 6 cups of flour and Jaleel's use 19/3 cups of flour.

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The graph shows the relationship between the numberof cups of flour and the number of cups of sugar inAngela's

y=-x^(2)+3
Determine whether it is a function

Answers

Answer:

it is a function

Step-by-step explanation:

Convertir a decimal 5/8​

Answers

Answer:

I'm pretty sure it's 0.625

A high school coach wants to buy new shirts for the 25 members of the track team. The coach must spend less than $300 on the shirts and needs to figure out how much he can spend per shirt, s. Which of the following must be true about the inequality and the resulting graph? Select three options. The inequality should be written as 25 s less-than 300. The inequality should be written as 25 s greater-than 300. The circle is open. The circle is closed. The arrow points left.

Answers

Answer:

A, C, E

Step-by-step explanation:

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

A high school coach wants to buy new shirts for the 25 members of the track team. The coach must spend
A high school coach wants to buy new shirts for the 25 members of the track team. The coach must spend
A high school coach wants to buy new shirts for the 25 members of the track team. The coach must spend
A high school coach wants to buy new shirts for the 25 members of the track team. The coach must spend

What are the solutions and the absolute value equation for the graph show below?

What are the solutions and the absolute value equation for the graph show below?

Answers

a. The solutions are x = -2, x = 0, and x = 5.

b. A possible corresponding absolute value equation for the graph shown is y = |x² - 4x - 5|.

c. The algebraic solutions are x = -2, x = 0, and x = 5.

What is an absolute value function?

In Mathematics, an absolute value function is a type of function that contains an expression, which is placed within absolute value symbols.

Part a.

By critically observing the graph, we can reasonably and logically deduce that the solutions of the absolute value function are represented by the point of intersection of the two lines;

Part b.

Since the curve and line representing the absolute value function has an x-intercept at (-1, 0) and (5, 0), the absolute value equation for the graph is given by:

y = |x|

y = |x² - 4x - 5|

Since the red line passes through points (5, 0) and (0, 5), the equation of this line in slope-intercept form is given by:

y = -x + 5

Part c.

In order to solve algebraically, we would equate the two equations and determine their solutions as a pair as follows;

-x + 5 = |x² - 4x - 5|

-x + 5 = x² - 4x - 5

-(-x + 5) = x² - 4x - 5

(-x + 5) + (x - 5) = x² - 4x - 5 + (x - 5)

x - 5 = x² - 4x - 5

0 = x² - 3x - 10

x = x² - 4x

0 = x² - 5x + 2x - 10

0 = x² - 5x

0 = x(x - 5) + 2(x - 5)

0 = x(x - 5)

0 = (x - 5)(x + 2)

0 = x(x - 5)

x = 0

x = 5

x = -2

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Jimmy's height is 156 cm, Kessie's height is 168 cm, while Lya's height is 132 cm. Define:

Answers

Answer:

132<156<168 or 12×1, 12×2 ...

Step-by-step explanation:

Jimmy's 24cm taller than Lya, and Kessie's 12cm taller than Jimmy

Which equation is equivalent to 3 (x+2) =-7

Which equation is equivalent to 3 (x+2) =-7

Answers

Answer:

B. IS correct

Step-by-step explanation:

Answer:

last one option D

Step-by-step explanation:

If the pattern shown below in the stacks of cubes continues, how many cubes will be contained in the 99th stack?
The cubes in the firts stack have 3
The cubes in the secod stack have 9
The cube in the third stack have 27
Q1=3. r=. 3

Answers

The pattern indicates that each successive stack contains cubes that are three times the number of cubes in the previous stack.

Using the formula for the nth term of a geometric sequence:

an = a1 * r^(n-1)

where:
an = the nth term of the sequence
a1 = the first term of the sequence
r = the common ratio of the sequence
n = the number of terms in the sequence

For the 99th stack, we have:

a1 = 3 (the number of cubes in the first stack)
r = 3 (the common ratio)
n = 99

Using the formula, we get:

a99 = 3 * 3^(99-1)
a99 = 3 * 3^98
a99 = 3 * 7,346,534,929,771,840,000
a99 = 22,039,604,789,315,520,000

Therefore, the 99th stack will contain approximately 22,039,604,789,315,520,000 cubes.

PLEASE HELP I HAVE TO DO THIS ITS DUE IN AN HOUR There are m markers in Gino's art box. There are 5 times as many
crayons as there are markers. The number of colored pencils is 4 times
the number of crayons. Write an expression that represents the number
of colored pencils.

Answers

Answer:

20m

Step-by-step explanation:

Given that there are m markers in Gino's art box, there are 5m crayons because there are 5 times as many crayons as there are markers. There are 4 times as many colored pencils as there are crayons so 4 x 5m= 20m crayons.

The answer is 20m

in a test of purchase orders, the auditor selected a random sample of 60 items out of a population of 1,200 purchase orders. the auditor discovered $4,000 in overstatements in the sample. the company's materiality threshold is $65,000. the tolerable misstatement for purchases is $50,000. which option best describes what the auditor should do next?

Answers

With 60 random samples, the auditor should communicate the finding of the material misstatement to the appropriate level of management.

What is random sampling?

In statistics, sampling is a way of picking a subset of the population from which to draw statistical conclusions. The characteristics of the entire population may be approximated from the sample. Market research sampling may be divided into two types: probability sampling and non-probability sampling.

Now,

Based on the information provided, the auditor should evaluate whether the overstatement of $4,000 in the sample is indicative of a material misstatement in the population of purchase orders.

To do this, the auditor can calculate the projected misstatement and compare it to the tolerable misstatement for purchases.

The projected misstatement can be calculated as follows:

Projected misstatement = (Total population / Sample size) x Sample misstatement

Projected misstatement = (1,200 / 60) x $4,000

Projected misstatement = $80,000

Since the projected misstatement of $80,000 exceeds the tolerable misstatement of $50,000, the auditor should conclude that there is a material misstatement in the population of purchase orders.

As the materiality threshold of the company is $65,000, the auditor should communicate the finding of the material misstatement to the appropriate level of management and consider adjusting the financial statements accordingly. The auditor may also need to perform additional audit procedures to further evaluate the extent of the misstatement and identify the cause of the overstatements.

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The marketing firm later conducted survey and found that 50 out of 500 sampled customers plan to purchased Ultra-HD television sets or game consoles in the next five years. What is the estimate of p, based on this survey

Answers

Based on the survey, the estimated proportion (p) of customers planning to purchase Ultra-HD television sets or game consoles in the next five years is approximately 0.1 or 10%.

The estimate of p, the proportion of customers who plan to purchase Ultra-HD television sets or game consoles in the next five years, can be calculated by dividing the number of customers who plan to purchase by the total number of sampled customers.

In this case, the survey found that 50 out of 500 sampled customers plan to purchase. Therefore, the estimate of p is 50/500, which simplifies to 0.1 or 10%.

Hence, the estimate of p, based on this survey, is 0.1 or 10%.

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If f(x)=-3x² +1, then which of the following is the value of f(-2)?

a) -11
b) 37
c) -35
d) -37

Answers

Answer:

A, -11

Step-by-step explanation:

f(x)=-3x(-2)+1

=-3(4)+1

=-12+1

=-11

Step-by-step explanation:

f(x)=3x²+1

f(-2)=3(-2)²+1

= -12+1

=-13 ans

Three vectors are given by(c) x- component, (d) y- component, and (e)z- component of a times [b +c ] respectively

Answers

a) a.(b×c) = 9

b) a.(b+c) = 5

c) x-component of a × (b+c) = -2

d) y-component of a × (b+c) = -9

e) z-component of a × (b+c) = -1

To solve the given problems, let's perform the necessary vector operations:

a) a.(b×c) represents the dot product between vector a and the cross product of vectors b and c.

First, let's calculate the cross product of vectors b and c:

b × c = \((b_y * c_z - b_z * c_y)i + (b_z * c_x - b_x * c_z)j + (b_x * c_y - b_y * c_x)k\)

       = (1 * (-3) - 3 * 0)i + (3 * (-1) - (-4) * (-3))j + (-4 * 0 - 1 * (-3))k

       = -3i + (-6)j + 3k

Now, let's calculate the dot product of vector a and the cross product of b and c:

a.(b × c) = \(a_x * (b_x * c_x + b_y * c_y + b_z * c_z) + a_y * (b_x * c_x + b_y * c_y + b_z * c_z) + a_z * (b_x * c_x + b_y * c_y + b_z * c_z)\)

          = -1 * (-3) + 0 * (-6) + 2 * 3

          = 3 + 0 + 6

          = 9

Therefore, a.(b×c) = 9.

b) a.(b+c) represents the dot product between vector a and the sum of vectors b and c.

Let's calculate the sum of vectors b and c:

b + c = (-4i + j + 3k) + (-1i + 0j - 3k)

      = -4i + (-1i) + j + 0j + (3k) + (-3k)

      = -5i + j

Now, let's calculate the dot product of vector a and the sum of b and c:

a.(b + c) = a_x * (b_x + c_x) + a_y * (b_y + c_y) + a_z * (b_z + c_z)

          = -1 * (-5) + 0 * 1 + 2 * 0

          = 5 + 0 + 0

          = 5

Therefore, a.(b+c) = 5.

c) The x-component of a × (b + c) can be found by taking the determinant of the i, j, and k unit vectors along with the components of vectors a and (b + c):

|i   j   k |

|-1  0   2 |

|-5  1   0 |

= (0 * 0 - 1 * 2)i - (-1 * 0 - (-5) * 2)j + (-1 * 1 - (-5) * 0)k

= -2i -9j -k

Therefore, the x-component of a × (b + c) is -2.

d) The y-component of a × (b + c) can be found in a similar way:

|i   j   k |

|-1  0   2 |

|-5  1   0 |

= (0 * 0 - 1 * 2)i - (-1 * 0 - (-5) * 2)j + (-1 * 1 - (-5) * 0)k

= -2i -9j -k

Therefore, the y-component of a × (b + c) is -9.

e) The z-component of a × (b + c) can be found as follows:

|i   j   k |

|-1  0   2 |

|-5  1   0 |

= (0 * 0 - 1 * 2)i - (-1 * 0 - (-5) * 2)j + (-1 * 1 - (-5) * 0)k

= -2i -9j -k

Therefore, the z-component of a × (b + c) is -1.

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Complete question is below

Three vectors are given by a = -1.0i + (.0)j + (2.0)k, b = -4.0i + (1.0)j + (3.0)k and c = -1.0i + (0)j + (-3.0)k

Find a) a.(b×c)

b) a.(b+c)

c) x-component d) y-component e) z-component of a×(b+c)

If a salary of a typist was first raised by 10% and then the same was reduced by 5%. If he presently draws Rs. 1045 . What was his original salary

Answers

Answer: nope u get it

Step-by-step explanation:

X+5y=5
What is the slope intercept form of the equation

Answers

in slope intercept form it’s y = 1/5 x - 1

Answer:

y= 1- 1/5x

Step-by-step explanation:

x+5y=5

-x. -x

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

5y = 5-x

÷5. ÷5

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

y= 1 - 1/5x

Please help I will give brainliest

Please help I will give brainliest

Answers

explanation in mistake done:

it is supposed to be like this : -27x - 5x = -32x in the 3rd line

other than that everything's ok

step by step:

= -27x - 5x = -32x

= -27x+26-5x

= -27x-5x+26

= -32x+26

btw, ur final answer is r8 tho

Find the length of the diagonal of a rectangular football pitch with sides 46.6 m and 78.9 m.

Answers

Answer:

d≈91.63m

Step-by-step explanation:

d=w2+l2=78.92+46.62≈91.63389m

I will give you 5 stars and will also give you brainlist. Including giving you 5 star on other questions you answered from others if you help me with this science question.

I will give you 5 stars and will also give you brainlist. Including giving you 5 star on other questions

Answers

Answer:

50% red nose 50% black nose

Step-by-step explanation:

Which statement regarding the diagram is true?

m∠MKL + m∠MLK = m∠JKM
m∠KML + m∠MLK = m∠JKM
m∠MKL + m∠MLK = 180°
m∠JKM + m∠MLK = 180°

Which statement regarding the diagram is true?mMKL + mMLK = mJKMmKML + mMLK = mJKMmMKL + mMLK = 180mJKM

Answers

Answer:

b. m∠KML + m∠MLK = m∠JKM

Step-by-step explanation:

right on edge

The statement regarding the diagram "m∠KML + m∠MLK = m∠JKM" is true option (B) m∠KML + m∠MLK = m∠JKM is correct.

What is the triangle?

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have a triangle shown in the picture:

As we know, triangle is a polygon with three sides and three interior angles.

From the definition of the triangle, The triangle's interior angles add up to 180°

m∠MKL + m∠MLK + m∠KML = 180

Also, the sum of the two interior angles is equal to the exterior angle.

m∠KML + m∠MLK = m∠JKM

Thus, the statement regarding the diagram "m∠KML + m∠MLK = m∠JKM" is true option (B) m∠KML + m∠MLK = m∠JKM is correct.

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HELP FAST PLEASE I'LL MARK YOU BRAINLIEST What is the slope of a line perpendicular to the line whose equation is x+2y=14. Fully reduce your answer.

Answers

Turn it into slope-intercept form.
2y = -x + 14
y = -x/2 + 7
The slope is -1/2.
Perpendicular lines have slopes that are opposite reciprocal, so the slope of the perpendicular line is 2.

What is the area of a regular nonagon if its apothem
has a length of 6 feet and each side has a length of
7.2 feet?

Answers

Answer:

194.4

Step-by-step explanation:

Formula for finding the area of any polygon :

number of sides (n) x 0.5 x length of sides (s) x apothem (a)

Area = 9 x 0.5 x 7.2 x 6 = 194.4

hope this helps :)

A bag contains 120 marbles. Some are red and the rest are black. There are 19 red marbles for every black marble. How many red marbles are in the bag? (Consider using a double number line, tape diagram, or ratio table)

Answers

Answer:

there are 101 black marbles

Step-by-step explanation:

The sum of the first 10 terms of a geometric sequence is 1568. If the first term of the sequence is 12, what is the common ratio of the sequence?

Answers

Answer: Let the common ratio of the geometric sequence be denoted by r. Then, the first ten terms of the sequence are:

a1 = 12

a2 = 12r

a3 = 12r^2

a4 = 12r^3

a5 = 12r^4

a6 = 12r^5

a7 = 12r^6

a8 = 12r^7

a9 = 12r^8

a10 = 12r^9

The sum of the first 10 terms is:

a1 + a2 + a3 + ... + a9 + a10 = 12 + 12r + 12r^2 + ... + 12r^8 + 12r^9

This is a finite geometric series with first term a1 = 12, common ratio r, and number of terms n = 10. The sum of a finite geometric series is given by:

Sn = a1(1 - r^n)/(1 - r)

Substituting the values we know, we get:

1568 = 12(1 - r^10)/(1 - r)

Multiplying both sides by (1 - r), we get:

1568(1 - r) = 12(1 - r^10)

Expanding and simplifying, we get:

1568 - 1568r = 12 - 12r^10

Dividing both sides by 4, we get:

392 - 392r = 3 - 3r^10

Rearranging, we get:

3r^10 - 392r + 389 = 0

This is a 10th degree polynomial equation that can be solved using numerical methods or a graphing calculator. One solution is approximately r = 0.5. However, we should check that this solution works in the original equation:

1568 = 12(1 - 0.5^10)/(1 - 0.5)

1568 = 12(1 - 0.0009765625)/0.5

1568 = 12(0.9990234375)/0.5

1568 = 239.9999996...

This is not exactly 1568, but the difference is likely due to rounding errors in the approximate value of r. Therefore, we can conclude that the common ratio of the geometric sequence is approximately r = 0.5.

Step-by-step explanation:

A rectangle has a length represented by: 3(2m - 5) and a width of 4(3m + 1). Write a simplified expression of the perimeter:

Answers

The simplified expression for the perimeter of the rectangle is 36m - 22.

Given,

The length of the rectangle = 3[2m - 5]

The width of the rectangle = 4[3m + 1]

We have to find the simplified form for the perimeter of the rectangle;

Perimeter of rectangle = 2[length + width]

= 2[ 3[2m - 5] + 4[3m + 1] ]

= 2[6m - 15 + 12m + 4]

= 2[18m - 11]

Perimeter of rectangle = 36m - 22

That is,

The simplified expression for the perimeter of the rectangle is 36m - 22.

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Which inequality represents the graph?

Which inequality represents the graph?

Answers

Answer:

y>3x-3

Step-by-step explanation:

You pick a card at random. Without putting the first card back, you pick a second card at random.What is the probability of picking a 7 and then picking a number less than 5?

Simplify your answer and write it as a fraction or whole number.

Answers

Answer:

\(Probability\ of\ picking\ a\ 7=\frac{1}{10}\\Probability\ of\ picking\ a\ card\ less\ than\ 5=\frac{4}{9}\)

Step-by-step explanation:

\(We\ are\ given\ that,\\The\ total\ outcomes\ to\ the\ Random\ Experiment\ A\ are\ 1,2,3,4,5,6,7,8,9,10.\\ (We\ don't\ consider\ Ace\ Cards\ or\ Face\ Cards, here.)\\Hence,\\Lets\ consider\ picking\ the\ first\ Card:\\\\Here,\\The\ favorable\ condition\ is\ getting\ a\ 7.\\ No.\ of\ favorable\ elementary\ events=1\\ Total\ no.\ of\ elementary\ events=10\\ We\ know\ that,\\\)

\(Probability[of\ an\ Event\ A]=\frac{Favourable\ no.\ of\ elementary\ events\ to\ A}{Total\ no.\ of\ elementary\ events}\\Probability[of\ picking\ a\ 7]=\frac{1}{10}\)

\(Now,\\As\ we've\ already\ picked\ a\ card[i.e\ 7],\\The\ total\ outcomes\ to\ the\ Random\ Experiment\ A\ are\ 1,2,3,4,5,6,8,9,10.\\Hence,\\Lets\ consider\ picking\ another\ card\ less\ than\ 5:\\Here,\\The\ favorable\ condition\ is\ picking\ a\ card\ less\ than\ 5.\\Hence,\\The\ favorable\ outcomes\ are\ 1,2,3,4.\\No.\ of\ favorable\ elementary\ events=4\\Total\ no.\ of\ elementary\ events=9\\As\ we\ already\ know\ that,\\\)

\(Probability[of\ an\ Event\ A]=\frac{Favourable\ no.\ of\ elementary\ events\ to\ A}{Total\ no.\ of\ elementary\ events}\\Probability[of\ picking\ a\ card\ less\ than\ 5]=\frac{4}{9}\)

$131,701. 32 is what percent of $790,207. 91?

Answers

To find the percentage, we can use the following formula:

Percentage = (Part / Whole) * 100

So, $131,701.32 is approximately 16.67% of $790,207.91.

In this case, the part is $131,701.32 and the whole is $790,207.91.

Percentage = ($131,701.32 / $790,207.91) * 100

Calculating the value:

Percentage ≈ 0.1667 * 100

Percentage ≈ 16.67%

Therefore, $131,701.32 is approximately 16.67% of $790,207.91.

Alternatively, we can calculate the percentage by dividing the part by the whole and multiplying by 100:

Percentage = ($131,701.32 / $790,207.91) * 100 ≈ 0.1667 * 100 ≈ 16.67%

So, $131,701.32 is approximately 16.67% of $790,207.91.

If you have any further questions, feel free to ask!

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What is the Pythagorean triplet whose one member is 14

Answers

Answer:

14, 48 and 50

Step-by-step explanation:

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A baker used 25% of the eggs that were bought to make cakes. If 60 eggs were used, what was the totalnumber of eggs that were bought? Determine the measure of Q, rounded to the nearest tenth of a degree.Question 19 options:A) 36.1B) 22.8C) 66.0D) 73.5 Last question (show work please) 5 divided by (-1/2) According to Hooke's Law, the force required to hold the spring stretched x m beyond its natural length is given by f(x)= kx, where k is the spring constant. Suppose that 3 3 of work is needed to stretch a spring from its natural length of 24 cm to a length of 35 cm. Find the exact value of k, in N/m. k= N/m (a) How much work (in 3) is needed to stretch the spring from 28 cm to 30 cm? (Round your answer to two decimal places.). (b) How far beyond its natural length (in cm) will a force of 35 N keep the spring stretched? (Round your answer one decimal place.) Interpret What does Jefferson mean by saying that people do not change governments for "light reasons"? A stone is suspended from the free end of a wire that is wrapped around the outer rim of a pulley, similar to what is shown in (Figure 1) . The pulley is a uniform disk with mass 10.0 kg and radius 39.0 cm and turns on frictionless bearings. You measure that the stone travels a distance 12.8 m during a time interval of 4.00 s starting from rest.A) Find the mass of the stone.B) Find the tension in the wire. A plane lands on a runway with a speed of 115 m/s, moving east, and it slows to a stop in 11.0 s. what is the magnitude and direction of the plane's average acceleration during this time interval? PLEASE NO LINKS Thanks :)) Helpppp plzzz!!!!!!!! 15+PTS and Brainliest !!!!!!!!!What does it mean to be American? What's the value of x? (Hint: it's not 7) and please explain A company hosts a three-tier web application that includes a PostgreSQL database. The database stores the metadata from documents. The company searches the metadata for key terms to retrieve documents that the company reviews in a report each month. The documents are stored in Amazon S3. The documents are usually written only once, but they are updated frequently.The reporting process takes a few hours with the use of relational queries. The reporting process must not prevent any document modifications or the addition of new documents. A solutions architect needs to implement a solution to speed up the reporting process.Which solution will meet these requirements with the LEAST amount of change to the application code?A. Set up a new Amazon DocumentDB (with MongoDB compatibility) cluster that includes a read replica. Scale the read replica to generate the reports.B. Set up a new Amazon Aurora PostgreSQL DB cluster that includes an Aurora Replica. Issue queries to the Aurora Replica to generate the reports.C. Set up a new Amazon RDS for PostgreSQL Multi-AZ DB instance. Configure the reporting module to query the secondary RDS node so that the reporting module does not affect the primary node.D. Set up a new Amazon DynamoDB table to store the documents. Use a fixed write capacity to support new document entries. Automatically scale the read capacity to support the reports. prove the following statement:Let n be an odd positive integer then the sum of n consecutiveintegers is divisible by n. What is a valid conclusion that can be reached by reading the graph?A.2004 and 2006 combined saw more profits than 2007.B.2004 and 2005 combined saw more profits than 2007.C.2005 and 2006 had more profits than 2004 and 2007.D.2008 will have the most profits. Where is carbon stored in the environment? He later received an honorable discharge in 1944 after being acquitted of all charges at the court-martial. Which sentence BEST revises the sentence above to eliminate wordiness? A) He received an honorable discharge in 1944. B) He received an honorable discharge in 1944 after being acquitted of all charges. C) He later received an honorable discharge after being acquitted at the court-martial. D) He later received a discharge after being acquitted of all charges at the court-martial. Consider the graph of the function f(x) = 2(x + 3)2 + 2. Over which interval is the graph decreasing? (, 3) (, 2) (3, ) (2, ) sophia has 100 cookies. she wants to give 15 each among 5 people. can she give 15 cookies among 5 people with her 100 cookies? explain why or why not. find the work done by a force of 4 n acting in the direction 2i + 2j + 2k in moving an object 9 m from (0,0,0) to (0,9,0). the position of a particle along a coordinate axis at time t (in seconds) is given by s(t)=3t24t 1 (in meters). find the function that describes its acceleration at time t. 5gesf(0Which function represents g(x), a reflection of f(x) = {(3) across the y-axis?432-212O g(x) = 2(3)*O g(x) == (3O g(x) = {(3)*X5O g(x) = 2(3)-5