Which are equivalent (same value)? *
31%
31 per 100
31/100
all of the above

Answers

Answer 1

Answer:

All of the above.

Step-by-step explanation:

31%=.31=31/100.

even if there is 31 per 100, it is the same. what if there is twice the value. 62/200. This is still reduced to the same number 31/100. There is still 31% of that thing.

Answer 2
the answer is all of the above!!

Related Questions

Angle Measurements
Identify the relationship (complementary, linear pair/supplementary, or vertical) and find the
value of x in the image below.
(3x + 10)
47°

Angle MeasurementsIdentify the relationship (complementary, linear pair/supplementary, or vertical) and

Answers

Answer:

X = 11

Complementary angles

Step-by-step explanation:

Complementary angles are when two angles add up to 90 degrees.

3x + 10 + 47 = 90

3x + 10 = 43

3x = 33

x = 11

Please help

Thank you

Please help Thank you

Answers

Answer:

m ∠JPN = 131°    

Step-by-step explanation:

m ∠JPL = m ∠MPK                         Vertical angles are =

7x + 19 = 11x -17                               Substitution  

- 4x =  -36                                      Algebra: Solving for x

   x = 9                                           Algebra: Solving for x

 m ∠JPL = 82°                              Substitution x = 9 into m ∠JPL = 7x +19

m ∠JPL + m ∠LPK = 180°             Definition of linear pair/supplement

                                                     angles = 180°

82° + m ∠LPK = 180°                      Substitution    

            m ∠LPK = 98°                     Algebra

m ∠LPK = m ∠LPN + m ∠NPK        Angle addition Theorem

       PN bisects ∠LPK                     Given    

m ∠LPN = m ∠NPK                          Definition of angle bisector

98 ° = 2 ( m ∠LPN)                           Substitution  

    m ∠LPN = 49°                             Algebra

m ∠JPN = m ∠JPL + m ∠LPN         Angle Addition

 m ∠JPN = 82° + 49°                     Substitution  

m ∠JPN = 131°                                 Addition    

y=-x/3 -3/2 on a graph

Answers

From the equation the slope is -1/3 and the y-intercept is -3/2. This shows that the intercept must pass through the y-axis at -3/2.

Equation of a line

A line is defined as the shortest distance between two points. The formula for finding the equation of a line in slope-intercept form is given as;

y = mx + b

The point sloe form of the equation is given as y-y1 = m(x-x1)

where

m is the slopeb is the intercept(x1, y1) is any point on the line

Given the equation of graph to plot

y=-x/3 -3/2

From the equation the slope is -1/3 and the y-intercept is -3/2. This shows that the intercept must pass through the y-axis at -3/2.

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y=-x/3 -3/2 on a graph

To accurately display the mobile home category on a pie chart, an angle that is approximately ________ would need to be created.

Answers

To accurately display the mobile home category on a pie chart, an angle that is approximately 131 degrees (2912/8000 x 360 = 131) would need to be created.

A pie chart is a circular statistical chart divided into slices to show numerical ratios. In a pie chart, the arc length of each slice is proportional to the quantity it represents.

Pie charts can be used to show percentages of a whole and represent percentages at a particular point in time. Unlike bar and line charts, pie charts do not show changes over time.Next page describes the different parts of a pie chart.

Pie Chart is a chart type that displays data as a pie chart. Each part of the chart is proportional to the overall proportion of each category. That is, each piece of the pie is relative to the size of that category across groups.

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What do you notice about the sum of the interior angles for a quadrilateral?

Help

Answers

Answer:

They equal 360 degrees.

Step-by-step explanation:

a die is rolled twice. what is the probability of showing a 5 on the first roll and an even number on the second roll? write your answer as a simplified fraction

Answers

The likelihood of showing a 5 on the principal roll and a significantly number on the second roll when a kick the bucket is moved two times is 1/12, which is an improved on part.

Define the term fraction?

A division is a numerical articulation that addresses a piece of an entirety. It is made up of two numbers that are separated by a horizontal or diagonal line. The number below the line is referred to as the denominator, and the number above the line is referred to as the numerator.

When a fair die is rolled, there are six equally likely outcomes: 1, 2, 3, 4, 5, or 6.

The probability of rolling a 5 on the first roll is 1/6, since there is only one way to roll a 5 out of six possible outcomes.

The probability of rolling an even number on the second roll is 3/6, since there are three even numbers (2, 4, and 6) out of six possible outcomes.

We multiply the probabilities of each event to determine the probability that both will occur:

P(rolling a 5 on the first roll and an even number on the second roll) = P(rolling a 5 on the first roll) × P(rolling an even number on the second roll)

= (1/6) x (3/6)

= 1/12

Subsequently, the likelihood of showing a 5 on the main roll and a significantly number on the second roll when a bite the dust is moved two times is 1/12, which is an improved on division.

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a process of observation that has an uncertain outcome is referred to as a(n) ________.

Answers

Answer: experiment

Step-by-step explanation:

A course of perception that has an unsure result is alluded to as an experiment.

What is an experiment?

The study of mathematical objects by computing in order to discover their properties and patterns is known as experimental mathematics. It has been described as "that mathematical theory that concerns itself ultimately with both the convention and transmission of insights within the mathematical neighborhood through the use of experimental investigation of conjectures and also more irregular beliefs and just a careful analysis of the information acquired in this endeavor (in either the Galilean, Baconian, Aristotelian or Kantian sense).

The nineteenth century saw the reemergence of experimental mathematical concepts as a distinct field of study as the range of calculations that could be performed was greatly expanded by the development of the electronic computer, which could perform calculations at speeds and with levels of precision that were unimaginable to earlier generations of mathematicians.

A course of perception that has an unsure result is alluded to as an experiment.

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scores on the act college entrance exam follow a bell-shaped distribution with mean 21 and standard deviation 5. wayne’s standardized score on the act was −0.6 . what was wayne’s actual act score?

Answers

Wayne's Actual ACT score is 19.2 where mean is 21, standard deviation is 5 and the Z - score is -0.6.

Standard Deviation:

Standard deviation is  a measure of the dispersion of a set of numerical values from their mean.

The general form of the standard deviation is,

\(SD=\sqrt{\frac{\sum (x_i-\bar{x})}{n} }\)

where

xi is each value in the data set,

x-bar is the mean, and

n is the number of values in the data set.

Given,

Mean = 21.

Standard deviation = 5

Wayne's standardized score on the act = −0.6 .

Here we need to find the Wayne's Actual ACT score.

Let x be the Wayne's Actual ACT score.

So,
=> z-score = (x - mean)/SD

Apply the values on it,

=> -0.6 = (x - 21) / 3

=> -1.8 = x - 21

=> x = 21 - 1.8

=> x = 19.2

Therefore, Wayne's Actual ACT score is 19.2

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a feature was created using a triangle and a semicircle . use the ruler provided to measure the dimensions of the triangle and semicircle to the nearest centimeter . which measurement is closest to the area of the feature in square centimeters .

a feature was created using a triangle and a semicircle . use the ruler provided to measure the dimensions

Answers

The area of a circle is given by:

\(\begin{gathered} A=r^2\pi \\ \text{Where:} \\ r=\frac{8}{2}=4 \\ \text{ Since it is a semicircle, the area is:} \\ A=\frac{4^2\pi}{2}=8\pi \end{gathered}\)

And the area of the triangle is:

\(\begin{gathered} A=\frac{b\cdot h}{2} \\ \text{where:} \\ b=8 \\ h=7 \\ A=\frac{8\cdot7}{2}=28 \end{gathered}\)

Therefore, the total area is:

\(A_T=8\pi+28\approx53.13\operatorname{cm}\)

20. To furnish a school cafeteria a school can spend $5200 on tables and chairs. Tables cost $200 each
and chairs cost $40. There are 8 times as many chairs as tables. How many tables and chairs will
the school purchase for the cafeteria?

Answers

Answer:

10 tables and 80 chairs

Step-by-step explanation:

In each table, there are 8 chairs. 8×40$ =320$

1 table cost 200$

Each set of table + chairs is

200 + 320= 520

Total amount of money the school can spend is 5200

Therefore 5200÷ 520 = 10

So there are 10 sets of Table + chairs

So there are 10 tables

Total amount of chairs is 8×10= 80

Hope this help I suck at explaining.

Sorry if the pictures a little weird looking, I was in a rush .

Sorry if the pictures a little weird looking, I was in a rush .

Answers

I think the question is asking for the median. If that’s not right, let me know in the comments, and I will help you more.

If we write these data points in order:

2, 4, 4, 5, 5, 6, 6, 6, 6, 7, 8, 9, 10

I start crossing off numbers from one end to the other to find of the middle data point. That’s what the median is.

Remove the first 6 data points and the last 6 data points, and you have your median. If the next median problem you have to solve has an even number of data points, your average the middle two.

Let me know if you have questions.

This is a practice assessment I just need to get it done to understand how to do it better!

This is a practice assessment I just need to get it done to understand how to do it better!

Answers

Since P is a point of tangency of the circumference O, then the angle OPQ is a right angle.

Then, the triangle OPQ is a right triangle. Use the Pythagorean Theorem to write an equation for r. Then, solve that equation.

Since OQ is the hypotenuse of OPQ, then:

\(OP^2+PQ^2=OQ^2\)

Since OP=r, OQ=r+9 and PQ=15, then:

\(r^2+15^2=(r+9)^2\)

Expand the quadratic binomial on the right member of the equation:

\(\Rightarrow r^2+15^2=r^2+2\cdot r\cdot9+9^2\)

Since the term r^2 appears on both sides, simplify the equation:

\(\Rightarrow15^2=2\cdot r\cdot9+9^2\)

Simplify all terms and solve for r:

\(\begin{gathered} \Rightarrow225=18r+81 \\ \Rightarrow225-81=18r \\ \Rightarrow144=18r \\ \Rightarrow\frac{144}{18}=r \\ \Rightarrow8=r \end{gathered}\)

Therefore, the radius of the circumference is:

\(8\)

A group of statements that executes as a single unit is a(n) ____.
a. module
b. unit
c. bunch
d. block

Answers

The term that describes a group of statements that executes as a single unit is a "block". A block of code is a program that is grouped together and treated as a single unit. So, the correct option is D.

In computer programming, a block is a group of statements or declarations that are enclosed within a set of curly braces ({ }). The block serves as a single unit that is executed together. Blocks are used to organize code and to apply control structures, such as loops and conditional statements, to multiple statements.

A block can contain any number of statements, which can include variable declarations, function calls, loops, conditional statements, and other constructs. The statements within a block are executed in sequence, one after another, unless a control statement is encountered that alters the normal sequence of execution.

For example, a while loop in Java consists of a block of code that is executed repeatedly while a certain condition is true:

while (condition) {

   // block of code to be executed while condition is true

}

In this example, the block of code inside the curly braces will be executed repeatedly while the condition specified in the while statement is true. The block can contain any number of statements, and these statements will be executed each time the loop iterates.

Another common use of blocks is to define functions or methods. A function or method is a block of code that can be called from other parts of the program, and can take inputs (arguments) and return outputs. For example, in Python, a function can be defined as follows:

def function(argument1, argument2):

   # block of code to be executed in the function

   return result

In this example, the block of code enclosed within the function definition is executed when the function is called. The function can take inputs (argument1 and argument2), which can be used within the function, and it can return a result using the return statement.

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PLEASE HELP WILL GIVE BRAINLIEST

PLEASE HELP WILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

choose the inequality shown by this diagram

choose the inequality shown by this diagram

Answers

Answer: C

Step-by-step explanation:

Starting off we need to understand what the circles are in inequalities.

A closed circle means that the number on the inequality is included in the solution. An open circle means that the number in the inequality is not included in the solution. A closed circle would use \(\leq or \geq\). An open circle would use < or >.

So, using these processes, -2<x\(\leq\)7 would be the answer.

|) Mei Li is going orange
picking. She is choosing
between two orange
orchards. The cost of a
basket of oranges at each
orchard is shown.
Which orchard should Mei
Li choose? Explain.

|) Mei Li is going orangepicking. She is choosingbetween two orangeorchards. The cost of abasket of oranges

Answers

Answer:

Annie's Orange Grove

Step-by-step explanation:

* you need to find out how much each pound of oranges cost at both orchards.

* to do so you take the total amount of money and divide it by the number of pounds you get.

1) 7.25 ÷ 20 = .36

2) 5 ÷12 = .4

* as you can see .36 is less than .4 and therefore is the better deal.

Find the value of y.

Answers

The 'Y' Coordinate is written second in an order of coordinates which is /X , Y\ Prob such as /12, 5\

The digits of this year, 2000 A.D., add up to 2. In how many other years since 1 A.D. has this happened?

Answers

Answer:

0002 0011 1010

0020 0101

0200 1001

2000 1100

9 times

Step-by-step explanation:

9 times is the right answer

Help me with this please

Help me with this please

Answers

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

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

- E. ⅓ (pi r²) h

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

- A. (pi r²) h

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

- B. (lw) h

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

- C. (½ bh) h

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

- D. ⅓ (lw) h

Watch carefully because Cylinder and Rectangular Prism changed position.

1/16 x 6 then round to 2 decimal places.

Answers

Answer:

.38

Step-by-step explanation:

1/16 * 6 = 6/16

Divide the top and bottom by 2

3/8

.375

Round to 2 decimal places

.38

Answer: 0.38

Reason: Trust me

Please solve this question!!​

Please solve this question!!

Answers

Answer:  (i) 1/221     (ii) 11/221      (iii) 95/663        (iv) 1/663

Step-by-step explanation:

(i) A deck of cards contains 4 Kings out of 52 total cards

1st draw: 4 Kings out of 52 total cards → 4/52 = 1/13

2nd draw: 3 remaining Kings out of 51 total remaining cards  →  3/51 = 1/17

  1st Draw                   2nd Draw                  Outcome         Probability

 King: P(K) = 1/13        King: P(K₂/K₁) = 1/17     King, King       (1/13) x (1/17) = 1/221

*************************************************************************************************

(ii) A deck of cards contains 4 Jacks, 4 Queens, & 4 Kings out of 52 total cards

1st draw: 12 Face cards out of 52 total cards → 12/52 = 3/13

2nd draw: 11 remaining Face cards out of 51 total remaining cards  →  11/51

1st Draw                 2nd Draw                  Outcome       Probability

 Face: P(F) = 3/13    Face: P(F₂/F₁) = 11/51   Face,Face     (3/13) x (11/51) = 11/221

*************************************************************************************************

(iiI) A deck of cards contains 26 black cards out of 52 total cards but there are 2 black Jacks, 2 black Queens, and 2 black Kings.

1st draw: 20 Black (not Face) cards out of 52 total cards → 20/52 = 5/13

2nd draw: 19 remaining Black (not Face) cards out of 51 total remaining cards  →  19/51

  1st Draw                 2nd Draw                       Outcome   Probability

Black: P(B~) = 5/13   Black: P(B~₂/B~₁) = 19/51    B~,B~    (5/13) x (19/51) = 95/663

*************************************************************************************************

(ii) A deck of cards contains 4 Aces out of 52 total cards

1st draw: 4 Aces out of 52 total cards → 4/52 = 1/13

2nd draw: 1 Queen of Hearts out of 51 total remaining cards  →  1/51

  1st Draw                 2nd Draw                   Outcome         Probability

 Ace: P(A) = 1/13      Qh: P(Qh₂/A₁) = 1/51   Ace,Queen(h)   (1/13) x (1/51) = 1/663

A truck that transports refrigerators has a storage compartment 12 feet high by 9 feet wide by 51 feet long. Each refrigerator takes up 54 cubic feet. How many refrigerators can be packed on the truck if there is no wasted space?


Enter a unit that best describes the number.

Answers

Answer:

102

Step-by-step explanation:

12 x 9 x 51 = 5508

5508 / 54 = 102

Hope this helps!

Answer:

102.00

Step-by-step explanation:

12 feet high *  9 feet wide * 51 feet long / 54 = the answer

Expand:
y^4

i fell asleep in math class.. what is this smh

Expand: y^4i fell asleep in math class.. what is this smh

Answers

The expansion of the expression given as y^4 is y^4 = y * y * y * 4

How to expand the expression?

The expression is given as:

y^4

According to the exponent law of indices, we have

x^n = x * x * x * ..... *xn

This means that, the expansion of the expression given as y^4 is

y^4 = y * y * y * 4

Hence, the expansion of the expression given as y^4 is y^4 = y * y * y * 4

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Answer: y * y * y * y

Step-by-step explanation:

y is being multiplied by itself four times

A small box of cereal contains 12 23 cups of cereal. How many 1 13 cup servings are in the box?

Answers

Hi i can help!

Answer there would be 9 and 1/2 servings in the box of cereal

Step-by-step explanation:

You need to divide the total amount of cereal in the box by serving size. This would be 12 2/3 divided by 1 1/3

We can write each mixed number as an improper fraction first before we divide 12 2/3 = 38/3 and 1 1/3 = 4/3

Now divide 38/3 bye 4/3. Recall that dividing by a fraction is accomplished by multiplying by the reciprocal of the divisor: 38/3 * 3/4 = 114/12 = 38/4 OR 19/2 Also 19/2 is equivalent to 9 and 1/2.

Answer: There would be 9 and 1/2 servings in the box of cereal.

Hope this helped!!

Answer:

9 1/2

Step-by-step explanation:

i used google!

Which equation represents a line that passes through the two points in thetable?хy3166A. y-6=3/5(x-6)B. y+1=5/3(x+3)C. y+6=3/5(x+6)D. y-1=5/3(x-3)

Which equation represents a line that passes through the two points in thetable?y3166A. y-6=3/5(x-6)B.

Answers

To obtain the equation of the line that passes through these points, you can first obtain the slope of the line, using the formula

\(\begin{gathered} m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \text{ Where m is the slope of the line and} \\ (x_1,y_1),(x_2,y_2)\text{ are two points through which the line passes} \end{gathered}\)

And then use the point-slope formula

\(y-y_1=m(x-x_1)\)

So, in this case, you have

\(\begin{gathered} (x_1,y_1)=(3,1) \\ (x_2,y_2)=(6,6) \end{gathered}\)\(\begin{gathered} m=\frac{6-1}{6-3} \\ m=\frac{5}{3} \end{gathered}\)

Now using the point-slope formula

\(\begin{gathered} y-y_1=m(x-x_1) \\ y-1=\frac{5}{3}(x-3) \end{gathered}\)

Therefore, the correct answer is D.

\(y-1=\frac{5}{3}(x-3)\)

2 3
9
Which number line represents the solutions to Ix + 4) = 2?
O
H
++
+ +
++
-7 -6 -5 -4 -3 -2 -1 0 1 2 3
4 5 6
7
O
←++
++
+
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
7
O
←++
++▬▬▬▬▬
+
+
-7 -6 -5 -4 -3 -2 -1 0 1 2
5
6
7
←++
++
-7 -6 -5 -4 -3 -2 -1 0 1
5 6 7
42
2
+3
14
4
3 4

2 39Which number line represents the solutions to Ix + 4) = 2?OH+++ +++-7 -6 -5 -4 -3 -2 -1 0 1 2 34

Answers

Answer:

the first answer option

Step-by-step explanation:

|x + 4| = 2

so,

(x + 4) must be +2 or -2 to make the original equation true.

when is (x + 4) = 2 ?

x + 4 = 2

x = -2

when is (x + 4) = -2 ?

x + 4 = -2

x = -6

so, -6 and -2 are the correct solutions.

The values of x are -2 and -6 respectively, the points -2, -6 should be marked in the line diagram.

The correct option is (1).

What is an equation?

Equation: A declaration that two expressions with variables or integers are equal.

As per the given data:

We have to find out the correct representation of the line diagram for the equation:

| x + 4 | = 2

Whenever a modulus is opened, it can result in a positive and a negative value.

Using the above definition of the modulus to find out the result.

| x + 4 | = 2

x + 4 = ±2

x can have 2 values.

First, taking the positive value.

x + 4 = 2

x = 2 - 4

x = -2

Taking the negative value.

x + 4 = -2

x = -2 - 4

x = -6

The values of x are -2 and -6 respectively, the points -2, -6 should be marked in the line diagram.

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The cross sectional area of a square shaped tunnel is 25m², the volume of the tunnel is 575m³. How long is the tunnel?

Answers

Answer:

23 m

Solution,

Let the length of tunnel be 'l'

Area=25 m^2

Volume of tunnel= cross sectional area* length

\( or \: 575 = 25 \times l \\ or \: l = \frac{575}{25} \\ l = 23 \: m\)

Hope this helps..

Good luck on your assignment..

Is this correct? 3.81 estimated to a whole number is 4.

Answers

Answer:

yes it is correct

Step-by-step explanation:

Answer: Yes You are correct!

Step-by-step explanation:

If a number in the tenths place is greater than or equal to 5 then we round up. Ex: 1.90 would round to 2

If a number in the tenths place is less than or equal to 4 then we round down. Ex: 1.19 would round to 1

Since 8 is in the tenths place we round up. 3.81 would be 4 rounded to the nearest whole number.

You are correct

Fermat's Little Theorem a. State and prove Fermat's Little Theorem. b. State and prove/disprove the contrapositive of Fermat's Little Theorem. c. In plain language, explain what Fermat's Little Theorem means and discuss the importance it's importance in Mathematics.

Answers

a. Statement and Proof of Fermat's Little Theorem:

Fermat's Little Theorem concerns primes and integers in number theory.

Fermat's Little Theorem asserts that when a positive integer a, which is not divisible by a prime number p, is raised to the power of (p-1), the resultant remainder upon division by p will be 1.

So it will be: \(\\ a ^(^p^-^1) = 1 (mod p)\)

What is Fermat's Little Theorem

The Evidence has been gathered to substantiate this claim is:

In order to demonstrate the validity of Fermat's Little Theorem, we will examine a scenarios: one where a is divisible by p and the other where a is not divisible by p.

If a is divisible by p, then a can be written as the product of p and a positive integer k. Expressing the value of a to the power of p minus one in relation to k and p can be achieved through utilization of the equation (k multiplied by p) raised to the power of p minus one.

By performing a simplification of the given expression, we can obtain the outcome where "a" to the power of "p" minus one is equivalent to "k" to the power of "p" minus one times "p" to the power of "p" minus one.

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Question 3 The Schwarzschild metric is given by 2M 2M ds² -(₁-²M) di² + (1-²¹)- 1- dr² +r² (d0² + sin² 0 dó²). There are Killing vectors associated with time invariance and angular momen- tum invariance in the direction in this geometry leading to the conserved quantities e = (1-2) and l= r² sin² 0 dr From this one can derive an analog to the radial energy equation in Newtonian mechanics by orienting the coordinates so that the orbits are confined to the equatorial plane where 0 = π/2 and u = 0. One finds 2 1 dr + Veff (r) = E 2 dr (e²_ -1) where E = and Veft(r) = - + 2/²/²2 - Mp³². Further, for circular orbits one can show that M | [₁ + √/₁−12 (+1)]. r+= | 2M Finally, for circular orbits of radius R do 1/2 M dt R³ (a) Which value of r corresponds to the Schwarzschild radius of stable circular orbits: r or r? Justify your answer. [3 marks] (b) Show that for circular orbits of radius R do 1/2 M -1/2 3M (²) ¹² (1-³) dT R³ R where is the proper time. [6 marks] (c) A free particle is moving in a circular orbit around a spherical source of curvature of mass M. The Schwarzschild radius of the orbit is 8M. Use the equivalence principle to argue that the period as measured at infinity should be larger than that measured by the particle. [4 marks] (d) Find the period of the orbit as measured by an observer at infinity. Find the period of the orbit as measured by the particle. [7 marks] M

Answers

(A) Circular orbits of stable particles are possible at radii greater than three times the Schwarzschild radius for the non-rotating spherically symmetric mass.

This represents the radius of a black hole's event horizon, within which nothing can escape. The Schwarzschild radius is the event horizon radius of a black hole with mass M.

M can be calculated using the formula: r+ = 2Mwhere r+ is the radius of the event horizon.

(B)  1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ R. This is the required expression.

Tau is the proper time of the particle moving around a circular orbit. Hence, by making use of the formula given above:1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ dt.

(C) Time passes differently in different gravitational fields, and it follows that the period as measured at infinity should be larger than that measured by the particle.

The principle of equivalence can be defined as the connection between gravitational forces and the forces we observe in non-inertial frames of reference. It's basically the idea that an accelerating reference frame feels identical to a gravitational force.

(D) The period of the orbit as measured by an observer at infinity is 16π M^(1/2) and the period of the orbit as measured by the particle is 16π M^(1/2)(1 + 9/64 M²).

The period of orbit as measured by an observer at infinity can be calculated using the formula: T = 2π R³/2/√(M). Substitute the given values in the above formula: T = 2π (8M)³/2/√(M)= 16π M^(1/2).The period of the orbit as measured by the particle can be calculated using the formula: T = 2π R/√(1-3M/R).

Substitute the given values in the above formula: T = 2π (8M)/√(1-3M/(8M))= 16π M^(1/2)(1 + 9/64 M²).

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