the force keeping the moon in its orbit round the earth is inversely proportional to the square of the distance from the earth.if F =6×10^5KN and R =8×10^8.find the equation connecting Fand R.​

Answers

Answer 1

9514 1404 393

Answer:

  F = 3.84×10^23/R²

Step-by-step explanation:

No units are given for distance, so we cannot give a constant of proportionality that has suitable units.

The general form for inverse square variation is ...

  F = k/R²

Then the value of k can be found from ...

  k = F·R² = (6×10^5)(8×10^8)^2 = 3.84×10^23

The formula relating the given F and R is ...

  F = 3.84×10^23/R²


Related Questions

Complete the​ table, for the following​ investments, which shows the performance​ (interest and​ balance) over a​ 5-year period.
Suzanne deposits ​$4000 in an account that earns simple interest at an annual rate of 2​%. Derek deposits ​$4000 in an account that earns compound interest at an annual rate of 2​% and is compounded annually.​

Answers

Answer:

After 5 years of investment, Suzanne will have $ 4,400 in her account, while Derek will have $ 4,416.32 in his account.

Step-by-step explanation:

Since Suzanne deposits $ 4000 in an account that earns simple interest at an annual rate of 2%, and Derek deposits $ 4000 in an account that earns compound interest at an annual rate of 2% and is compounded annually., Both for a period of 5 years, to determine how much money each one will have in their account after 5 years, the following calculation must be made:

Suzanne:

((4,000 x 0.02) x 5) + 4,000 = X

(80 x 5) + 4,000 = X

400 + 4,000 = X

4,400 = X

Derek:

4,000 x (1 + 0.02 / 1) ^ 5x1 = X

4,000 x 1.02 ^ 5 = X

4,416.32 = X

Thus, after 5 years of investment, Suzanne will have $ 4,400 in her account, while Derek will have $ 4,416.32 in her account.

What does n equal?
EASY

Answers

Answer:

n=8/11

Step-by-step explanation:

Answer:

C) n=8/11

Step-by-step explanation:

3/4n=6/11

n=6/11÷3/4

invert and multiply

n=6/11x4/3

n=24/33

n=8/11

Find the surface area of the cylinder. Round your answer to the nearest tenth.
IF YOU ANSWER THE QUESTION CORRECTLY I WILL GIVE YOU BRAINIEST.

Answers

Answer:

188.5ft²

Step-by-step explanation:

Surface area of cylinder = 2πrh+2πr²

=2π3*7+2π3²

=42π+18π

=60π=188.495559215≈188.5ft²

Salaries for teachers in a particular elementary school district are normally distributed with a mean of $49,000 and a standard deviation of $4,500. We randomly survey ten teachers from that district. (Round your answers to the nearest dollar.)
(a) Find the 90th percentile for an individual teacher's salary.
$


(b) Find the 90th percentile for the average teacher's salary.

Answers

Answer:

they get a lot of moohlah

Step-by-step explanation:

What is 97,000 in scientific notation?

Answers

9.7x10^4 in scientific notation

Fran has 18 paperback books and 24 hardcover books. What is the ratio of hardcover to paperback books?
WILL GIVE BRAINLIEST
3:4


4:3


3:7


7:3

Answers

The correct answer is 3:4

pls help i give you brainliest

Answers

kimi no toriko ni natte ti shi mae ba kitto

Find the number line with the correct letter placement for each value.
A=73,B=−67,C=127,D=−1.35


Choose one correct answer.''

Answers

Answer:

Step-by-step explanation:

a

Plz help!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

hello :  here is an solution

In a random sample of 8 ​people, the mean commute time to work was 35.5 minutes and the standard deviation was 7.4 minutes. A 90​% confidence interval using the​ t-distribution was calculated to be (30.5,40.5). After researching commute times to​ work, it was found that the population standard deviation is 9.3 minutes. Find the margin of error and construct a 90​% confidence interval using the standard normal distribution with the appropriate calculations for a standard deviation that is known. Compare the results.

Answers

Answer:

Margin of Error = 5.4088 ;

Confidence interval = (30.1 ; 40.9)

Interval estimate are almost the same

Step-by-step explanation:

Given that :

Population standard deviation, σ = 9.3

Sample size, n = 8

Xbar = 35.5

Confidence level = 90%

The confidence interval:

Xbar ± Margin of error

Margin of Error = Zcritical * σ/sqrt(n)

Zcritical at 90% = 1.645

Margin of Error = 1.645 * 9.3/sqrt(8) = 5.4088

Confidence interval :

Xbar ± Margin of error

35.5 ± 5.4088

Lower boundary = (35.5 - 5.4088) = 30.0912 = 30.1

Upper boundary = (35.5 + 5.4088) = 40.9088 = 40.9

(30.1 ; 40.9)

T distribution =. (30.5 ; 40.5)

Normal distribution = (30.1, 40.9)

BEEN ASKING FIR AN HOUR: A rectangle's length is 3 feet shorter than 4 times the width. If we use w to represent the rectangle's width, use a polynomial to represent the rectangle's area in expanded form.​

Answers

Answer:

Step-by-step explanation:

w is the width of the rectangle, then the length would be 4w - 3.

A = lw

A = w(4w -3)

A =4w² - 3w

Hope this helped!!!

Which graph shows the solution to the following system of inequalities?
{x - y = 1
y - x = 1
The lines are parallel.
The lines are coinciding.
The lines intersect at (1, 0).
The lines intersect at (–1, 0).

Answers

Lines are parallel
(Use desmos calculator for these problems)

What is the measure of x?

A. 8
B. 9
C. 10
D. 11

Answers

Answer:

A

Step-by-step explanation:

Question
Use the Quotient Rule of Logarithms to write an expanded expression equivalent to ln(2/7).Make sure to use parenthesis
around your logarithm functions log(x + y).
Provide your answer below:

Answers

Answer:

ln(2) - ln(7)

Step-by-step explanation:

Logarithmic expressions are represented using ln or log keywords

The expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]

The expression is given as:

[tex]\mathbf{ln(2/7)}[/tex]

The quotient rule of logarithm states that:

[tex]\mathbf{ln(a/b) = ln(a) - ln(b)}[/tex]

So, by comparison:

a = 2, and b = 7

So, we have:

[tex]\mathbf{ln(2/7) = ln(2) - ln(7)}[/tex]

Hence, the expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]

Read more about logarithms at:

https://brainly.com/question/9665281

Help. I’ll give branliest!! Due today!

Answers

Answer:

4

Step-by-step explanation:

Im pretty sure its 4

Answer:

4 is the answer to the question

What is one strength that Percy shows in chapter 3

What is one weakness that Percy shows in chapter 3

please answer both questions above correctly please im giving brainliest to the fastest and correct answer

Answers

Answer:

Percy’s strengths is his loyalty to his friend. When he was in danger, he could have escaped and saved his own life. But he showed loyalty by choosing to stay and fight to help his friend. He says, “… there was Grover, needing my help.” Percy’s only weakness in this section is becoming frozen by his fear. When his mother tells him to run, he can’t. The text says, “But I just stood there, frozen in fear, as the monster charged her.”

Step-by-step explanation:

pls help!!

Bryant earns $15 in commission for every $150 worth of shoes that he sells. Which equation can be used to find the total commission, C, Bryant will earn if the cost, s, of the shoes he sells is known?

a) c= 1/15s
b) c=1/10s
c) 10s
d) c=15s

Answers

i think it’s d, but i’m not sure.

What is the difference of 95,216 and 35,535? a59,681 b60,321 c60,781 D130,751​

Answers

Answer:

the answer is A) 59, 681

Step-by-step explanation:

all you have to do is subtract

so 95,216 - 35,535= 59,681

hope i helped

-lvr

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR ILL REPORT YOU AND GET YOUR ACCOUNT DELETED.

Answers

Answer:

6

Step-by-step explanation:

a bowl contains 5 red chips, 7 blue chips, 6 yellow chips, and 10 green chips. One chip is randomly drawn. Write the answer as a fraction in simplest form. Find the probability of choosing a red OR yellow chip.​

Answers

Answer:

The probability is 11/28 or 39%

Step-by-step explanation:

You add 5+6=11 and their are 28 total chips.

Please Help me Due in 2 Mins

Answers

the correct answer is 50 + 10n . hope this helps!

one boy s c o r e d 80% out of a total of 500 marks how many marks did that boy is scored

Answers

The boy scored:

500 x 80% = 400 (marks)

The boy scored 500*80%= 400marks

2 kg 91 g = __________ g

Answers

Answer:

2091 grams

Step-by-step explanation:

1000 g = 1kg

2*1000 = 2000g + 91g = 2091 g

Answer:

2kg 91 g = _2091_ g

Step-by-step explanation:

Conversion factor: 1 kg = 1000 g

1) kg = g / 1000

2) kg = 2091 / 1000

3) kg = 2.09

A geology teacher takes her class on an annual field trip to analyze rock samples. They use randomized sets of
coordinates to select samples from two regions.
Suppose they examine a sample of 70 rocks from region A, which is composed of 15% igneous rock. Then they
examine a sample of 60 rocks from region B, which is composed of 20% igneous rock. Then they look at the
difference between the sample proportions (PA - B).
What are the mean and standard deviation of the sampling distribution of pA - PB?

Answers

Second option would be the answer

A jar contains black and white jelly beans. What is the probability of reaching into the jar and
selecting a black jelly bean?

Answers

Answer:

50% because there are only 2 colors

Step-by-step explanation:

Answer:50%

Step-by-step explanation:

The probability is 50% or 1/2 because there's only 2 types of jelly bean in the jar unless either one has more amount than the other's

Can anyone help asap please

Answers

Answer: 132

Step-by-step explanation:

Answer:

132 m

Step-by-step explanation:

[tex]C = \pi \: d = \frac{22}{7} \times 42 = 132 \: m \\ [/tex]

"Jonas prepared himself to walk to the stage when the applause ended and the Chief Elder picked up the next folder and looked down to the group to call forward the next new Twelve. He was calm now that his turn had come. He took a deep breath and smoothed his hair with his hand." - The Giver *

1st person
2nd person
3rd person objective
3rd person limited
3rd person omniscient

Answers

Answer:

3rd limited

Step-by-step explanation:

Which expression is equivalent to 14y−12?

14(y−2)

−14(y−12)

14(y−12)

−14(y−2)

Answers

Answer:

The answer is 1/4 (y-2)

Step-by-step explanation:

I got the answer correct on my test!

7. The area of a triangle is 2.1 square feet. Its base is 2 feet. What is its height​

Answers

Step-by-step explanation:

area of a triangle is (bh)/2

b=base

h=height

2.1=(2h)/2

2.1=height

Hope that helps :)

Answer:

4.2

Step-by-step explanation:

Multiply 2.1 and 2 to get 4.2

Find the missing measures using trig

Answers

Answer:

Step-by-step explanation:

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