How to derive Universal Law of Gravitation ?​

Answers

Answer 1

Answer:

These are the answers

Step-by-step explanation:

The orbit of a planet is an ellipse, with the Sun at one of the two foci.

A line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time.

The square of the orbital period of a planet is proportional to the cube of the semi-major axis of its orbit.

Hope it helped !

Answer 2

Answer:

The universal law of gravitation states that every particle attracts every other particle in the universe with a force that is directly proportional to the ...

Bernoulli formula: define focal length

Si unit of thrust: newton's third law of motion examples


Related Questions

Find the area of the shape shown below.

Answers

Answer:

14 sq units

Step-by-step explanation:

square - 4

triangle - 4

secong triangle - 6

4+4+6 = 14 sq units

Answer:

A = 10 sq. units

Step-by-step explanation:

Area of a trapezium is the average of the bases times the height.

Base 1 is 8 units

Base 2 is two units

Average is (8 + 2)/2 = 5 units

A = 5(2) = 10 sq. units

Can someone please help !!

Answers

i literally dont know

please help with this

Answers

i think the answer is -24

whats 1 + 1

ahsdugiywayhdyhawdwahdwahidwadad

Answers

2 or 11 or window or whatever

Answer:

11

Step-by-step explanation:

It's clearly 11

1 + 1 = 11

just put the 2 numbers together

#6 Solve the inequality.
6w <-42

Answers

Answer:

w < -7

Step-by-step explanation:

Do -42 divided by 6 and keep the sign the same.

You get w < -7.

Hope this helps! :)

B. {(15,0),(15,-2)}
Function?
Domain:
Range

Answers

Answers:

Function? No, it's not a functionDomain:  {15}Range: {0, -2}

===============================================

Explanation:

The domain consists of the set of x coordinates of each point. In this case, we only have one x value listed. The domain is {15}. Use curly braces even if there's only one item. This tells the reader we have a set.

The range is {0,-2} to indicate the y coordinates of the two points.

We don't have a function because x = 15 repeats itself. The input x = 15 leads to multiple outputs at the same time, which isn't allowed if you want a function. You can use the vertical line test as a visual way to see that we don't have a function.

Easy question, Worth 80 points, PLEASE HELP!! What are the angles and the side measurements for this triangle?

Answers

Answer:

the angles are 89.2°, 34.5°, 56.3° and the sides are √26units, √8units, √18units respectively

Step-by-step explanation:

Distance between points (2,5) and (-1,2)

Using the formula, √(X2 - X1)² + (Y2 - Y1)²

= √(-1-2)²+(2-5)²

=√(-3)²+(-3)²

=√9+9

=√18 or 3√2

Distance between points (-1,2) and (4,3)

=√[4-(-1)]²+(3-2)²

= √5²+1²

=√25+1

=√26

Distance between points (2,5) and (4,3)

=√(4-2)²+(3-5)²

=√2²+(-2)²

=√4+4

=√8

Using Cosine rule/formula, C²= A²+B²-2abcosc

Let C be √18, A be √26 and B be √8

√18²=√26²+√8² - 2√26.√8cosc

18= 26+8 - 2√208cosc

18= 34 -2√208cosc

2√208cosc= 34-18

Cosc = 16/2√208

Cosc= 0.5546

c= Cos`¹(0.5547)

c= 56.3°

Using sine rule/formula

Sinc/C= Sina/A=Sinb/B

Sin56.3/√18= Sina/√26

Sina= (0.8320 × √26)/ √18

Sina= 0.9999

a= Sin`¹(0.9999)

a= 89.2

56.3+89.2+b= 180°( sum of angles in a triangle)

145.5 + b =180

b=180-145.5

b= 34.5

Can someone please help me with this

Answers

Step-by-step explanation:

when 2 lines cross, the angles on one side of one of these lines are mirrored to the other side.

and crossing a second, parallel line creates exactly the same angles there too, because crossing the second line is like crossing the first line. otherwise the 2 lines are not parallel. the second line is just a shifted version of the first line (and vice versa). all the other attributes are the same.

and all angles around a single point on one side of a line are together 180°.

because of all that,

angle 2 = angle 3 = angle 6 = angle 7 = 76°

angle 1 = angle 4 = angle 5 = angle 8 = 180-76 = 104°

Find the gradient of the line segment between the points (3,-2) and (5,-5). Give your answer in its simplest form.

Answers

Answer:

2/7

Step-by-step explanation:

gradient y²-y¹/x²-x¹=4-2/4-(-3)

=2/7

{Taking (x¹,y,¹)=(-3,2)

and(x²-y²)=(4,4)

A swimming pool already contains
a small amount of water when you start filling it at a
constant rate. The pool contains 45 gallons of water after
5 minutes and 120 gallons after 30 minutes. Find the
average rate of change and use it to write a linear model
that relates the amount of water in the pool to the time.

Answers

Answer:

Rate of change = 3 gallons/minute

Starting volume = 30 gallons

Step-by-step explanation:

A graph of the pool's water level would be useful.  The slope of the line would represent the rate of change for filling the pool.  It will also help us determine the amount of water that was in the pool to start.  Although it is tempting to say the rate of fill is 45gallons/5 minutes, or 9 gallons/minute, it is not correct.  The pool already started with an unknown volume of water.  The rate of change after 5 minutes, however, can be used.  The problem states it is being added at a constant rate.  Let's find an equation for a line, in the format of y=mx+b, where m is the slope (rate of change) and b is the y-intercept.

We'll let y represent the volume of water in the pool, and x will be the time in minutes.  The y-intercept will give us the amount of water in the pool at the start (x = 0).

The slope can be determined between the two given points:

(5,45) and (30,120):

Slope = Rise/Run [The change in y divided by the change in x].

Rise = (120 - 45) = 75

Run = (30-5) = 25

Slope = 75/25 or 3

The line, so far, becomes y=3x + b

The slope of 3 has units of gallons/minute.  It is the rate at which the pool is being filled.

We can find b, the starting volume of water, by using one of the two points in the equation and solving for b:

y=3x + b   [I'll use (5,45)]

45 = 3*(5) + b

b = 30 gallons

The pool had 30 gallons to start (at x = 0(minutes))

See the graph of the line, attached.

f(a)=2a+5
g(a)=a2-4
what is f(g(a))

Answers

f(g(a)) = f(-2(7)) because f(a)=7 and f(g)=-2

Jenny wants to build a concrete patio that will be 8 meters by 11 meters

Answers

Answer:Cost = $352Step-by-step explanation:Area = 8 x 11=> Area = 88 m²=> Cost = 88 x 4=> Cost = $352Conclusion:

Therefore, the total cost of the patio is $352.

Hoped this helped!

[tex]BrainiacUser1357[/tex]

Which equation could be solved using this application of the quadratic formula? A. -2x2 â’ 8 = 10x â’ 3 B. 3x2 â’ 8x â’ 10 = 4 C. 3x2 8x â’ 10 = -8 D. -2x2 8x â’ 3 = 4.

Answers

The given question can be solve using quadratic formula.

The correct option is (c) [tex]3x^2 +8x -10=-8[/tex].

Given:

The given equation is,

[tex]x=\dfrac{-8\pm\sqrt{8^2-4(3)(-1)}} {2(3)}[/tex]---------------------------(1)

Write the general quadratic equation.

[tex]ax^2 + bx +c=0[/tex]

Write the quadratic formula.

[tex]x =\dfrac {-b \pm \sqrt{(b^2 - 4ac)} } {2a}[/tex]------------------------------- (2)

Compare equation (1) and (2).

[tex]a=3\\b=8\\c=-2[/tex]

Substitute the value of [tex]a[/tex], [tex]b[/tex] and [tex]c[/tex] in general quadratic.

[tex]3x^2 +8x -2=0[/tex]

Subtract [tex]8[/tex] from each side of above equation.

[tex]3x^2 +8x -2 -8=0-8\\3x^2 +8x -10=-8[/tex]

Thus, the correct option is (c) [tex]3x^2 +8x -10=-8[/tex].

Learn more about quadratic equation here:

https://brainly.com/question/17177510

a store is having clearance sale where merchandise on the sales racks is reduced by 80% from the original price. if a jacket was originally priced at $76, what is the sale price?

Answers

Answer:

Sale price is [tex]15.2\$[/tex]

Step-by-step explanation:

Price is reduced by 80% from the original price.

Here original price is $76

Sale price is

[tex]=76-76\times\frac{80}{100}\\\\=0.2\times76\\\\=15.2\$[/tex]

1
Arrange the following steps in the right order so as to find the roots of the following quadratic equation.
22 +22 - 8=0
=
-2 +6
=
2
-2 +4+32
2.
=
= = =
I = -4; = 2
x = -13
TI
-2 = 36
2
-2 +(2) – 4(1)(-8)
2 (1)
2
= r = -1 -3: x = -1 +3

Answers

Answer:

22 +22 - 8=0

=

-2 +6

=

2

-2 +4+32

2.

=

= = =

I = -4; = 2

x = -13

TI

-2 = 36

2

-2 +(2) – 4(1)(-8)

2 (1)

2

= r = -1 -3: x = -1 +3 = sin   \theta  

Step-by-step explanation:

Student Council sponsors weekly dances at their school on Friday nights. The admission price for each person is $4 for Student Council members. Members pay an annual fee of $50 for membership dues.

A. Write a function that can be used to determine c, the total cost, for a member to attend n, number of dances a year.

B. How much will a member pay if they attend 15 dances during the school year.

1. Summarize the given situation in your own words. (What do you notice?)

2. Explain: What is the essential information you can use to find the solution?

3. Find the Solutions to parts A and B above. Show your thinking in the space below.

Answers

The total cost during a school year to attend a given number of daces is a

linear function of the number of dances attended.

The correct responses are;

Part A; The function for the total cost is; c = 50 + 4·nPart B; The total cost for attending 15 dances is; c = $1101. The initial cost is $50 and the rate is $42. The annual fee, the admission price, and the number of dances attended3. The solution are: Part A; c = 50 + 4·n, Part B; c = $110

Reasons:

The given parameter are;

Admission price per person = $4

The annual fees members pay = $50

A. The function that can be used to determine c is a linear function, with a y-intercept (initial value) of 50 and a rate (slope) of 4

The total cost to attend n dances a year, c = 50 + 4·n

B. If a member attends 15 dances a year, we have;

n = 15

Therefore;

The total cost, c = 50 + 4 × 15 = 110

The total cost for 15 dances a year, c = $110

1. As the number of dances attended increase, the total cost increase, and the cost when no dance is attended by a member during the year is $50.

2. The essential information that can be used to find the solution are;

The admission price for each person.The annual fee for membership dues.The number of dances a member attends in a year.

3. Part A; c = 50 + 4·n

Part B; c = $110

Learn more about linear functions here:

https://brainly.com/question/20478559

Solve the inequality T > l+d/B for D

Answers

Answer:

Second option = TB - L > D

Step-by-step explanation:

[Given] T > [tex]\frac{L +D}{B}[/tex]

[Multiply both sides by B] TB > L + D

[Subtract L from both sides] TB - L > D

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

STUDY TIP 1

Don't do all your studying the night before. Instead spread it out, review class materials several times a week, and focus on one topic at a time.

FOLLOW FOR MORE TIPS !!!

Answers

Answer:

THANK U!

FOR THE TIP.

HAVE A GREAT DAY!

The perimeter of the figure below is 41.6 in.
Find the length of the missing side.

Answers

Answer:

the answer is 5.9 since both sides are the same and on the other side its 5.9

Hope This Helps!!!

The answer is 5.7 because when you add sides up you get a sum of 35.9 then you subtract that from 41.6

Multiply. Enter your answer as a simplified mixed number. -4(3/14) ​

Answers

Answer:

-53 /14

Step-by-step explanation:

how to find inflection points from first derivative

Answers

Answer:

For finding the inflection points you'll have to put the first derivative equal to zero and solve for x. After you've done that, you can plug in the x you've just found into the original function and find also the y, so you'll find the ordered pair (x,y) of the inflection point(s).

What is the value of k?

Answers

Answer:

k = 10

Step-by-step explanation:

the sum of any two interior angles is equal to the exterior angle of the unknown interior angle

4k+5 + 6k+10 = 115

10k + 15 = 115

10k = 100

k = 10

____________ system is a system where each transaction is entered twice, once on the debit side and once on the credit side. *
Options -
Single entry
Double entry

Answers

Answer:

Double-entry bookkeeping,in accounting, is a system of bookkeeping where every entry to an account requires a corresponding and opposite entry to a different account. The double-entry system has two equal and corresponding sides known as debit and credit.

Step-by-step explanation:P I E C K_______

You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $2.25 and each soda costs $1.50. At the end of the night you made a total of $225.75. You sold a total of 126 hot dogs and sodas combined. You must report the number of hot dogs sold and the number of sodas sold. What equations did you use to solve this? How many hot dogs were sold and how many sodas were sold?

Answers

Answer:

49 hot dogs, 77 sodas

Step-by-step explanation:

2.25h + 1.5s = 225.75

h + s = 126, so s = 126 - h. Substitute that into the first equation.

2.25h + 1.5(126 - h) = 225.75

Solve for h

2.25h + 189 - 1.5h = 225.75

0.75h = 36.75

h = 49  So they sold 49 hot dogs

h + s = 126, so 49 + s = 126, s = 77

How i can answer this question?

Answers

Answer:

11n

Step-by-step explanation:

7+4 =11

so then 7n+4n=11n

A large university accepts 60% of the students who apply. Of the students the university accepts, 45% actually enroll. If 30,000 students apply, how many actually enroll?

________ students would actually enroll. (Type a whole number)

Answers

Answer:

4,500 hope this help

Step-by-step explanation:

I think it would be 13500 students that enroll since 45% actually enrolled meaning if you set up 45/100 and x/30,000 you’d get an answer of 13500

How do you add 11/11 + 23/45? And what is the answer? Explain how you got that answer

Answers

Answer:

90

Step-by-step explanation:

first you do 11 + 11 =22

23+45=68

now im postitive you add 68 and 22 and get you final answer which is ...

90

Answer:

1 23/45

Step-by-step explanation:

Start by multiplying numerators and denominators to get the LCD in all fraction denominators

=11×45/11×45+23×11/45×11

Then rewriting the equation with the equivalent fractions

=495/495+253/495

With like denominators we can operate on just the numerators

=495+253/495

=748/495

Simplifying the answer

=68/45

=68/45

=1 23/45

What is the reason for each step in the solution of the equation?
18x – 2x = 4x
Match the reasons with each step in the equation.
Given

Answers

Answer:

18 - 2x = 4x (Given)18 = 6x (Addtion property of equality)3 = x (Division property of equality)

Step-by-step explanation:

Given - This is the start of the proof. Use this for the information given from the start.

Addition property of equality - Use this when adding terms on both sides of an equation.

Division property of equality - Use this when dividing terms on both sides of an equation.

The graph shows a proportional relationship between the number of books sold at a yard sale and the amount of money collected from book sales.

Book Sales Revenue






What is the constant of proportionality?
0.67
1
1.5
2

Answers

Answer:

1.5

Step-by-step explanation:

6/4

Answer:

it's C. 1.5

Step-by-step explanation:

I did the test

A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. Which of the following procedures would produce a simple random sample?

Assign the homework questions the numbers 1–10. Use a random number table to select the first three numbers between 1 and 10. These represent the questions that will be graded.
Assign the homework questions the numbers 0 to 9. Use a random number table to select the first three numbers between 0 and 9. These represent the questions that will be graded.
Assign the homework questions the numbers 01–10. Use a random number table to select the first three 2-digit numbers between 01 and 10. These represent the questions that will be graded.
Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.

Answers

Answer:

Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.

Step-by-step explanation:

Assign the homework questions the numbers 0 to 9. Use a random number table to select the first three numbers between 0 and 9. These represent the questions that will be graded.

How to Assign Random Numbers?

We are told that a teacher assigned 10 questions for homework and would like to randomly pick 3 questions to be graded. Now, this simply has to follow the correct procedure of random selection.

The procedure that the teacher should follow is as follows;

Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.

Read more about Random Numbers at; https://brainly.com/question/251701

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