Mercurys average distance fron the sun is 35,000,000 miles. It takes 3 minutes for light to travel from the sun to Mercury. Neptune with an average of 2.8 x 10 to the power or 9 miles from the sun. How many times farther from the sun is Neptune than Mercury? How ling does it take light to reach Neptune?

Answers

Answer 1

Answer:

Neptune is 80 times farther from the Sun than Mercury.

It takes 4 hours to reach the light from the Sun to Neptune.

Step-by-step explanation:

Given that the average distance between the Sun and Mercury,

[tex]d_1=35,000,000[/tex] miles [tex]=3.5\times 10^7[/tex] miles.

The time to reach the light from the sun to Mercury, [tex]t_1 = 3[/tex] minutes

Let v m/s  be the speed of light.

So, [tex]v=\frac{d_1}{t_1}\cdots(i)[/tex]  [as speed = distance/time]

Now, the average distance between the Sun and Neptune,

[tex]d_2=2.8\times 10^9[/tex] miles.

The ration of the average distance of Neptune and Mercury from Sun,

[tex]\frac{d_2}{d_1}=\frac{2.8\times 10^9}{3.5\times 10^7}[/tex]

[tex]\frac{d_2}{d_1}=80\cdots(ii)[/tex]

So, Neptune is 80 times farther from the Sun than Mercury.

The time to reach the light from the sun to Neptune,

[tex]=\frac{d_2}{v}[/tex] [as time=distance/speed]

[tex]=\frac{d_2}{d_1/t_1}[/tex] [using equation(i)]

[tex]=\frac {d_2}{d_1}\times t_1[/tex]

[tex]=80\times 3[/tex]  [using equation(ii)]

=240 minutes

=4 hours [as 1 hour =60 minutes]

Hence, it takes 4 hours to reach the light from the Sun to Neptune.

Answer 2

Using the speed - distance relationship, we can deduce that Neptune is 80 times farther from the sun than Mercury and it will take 240 minutes for light from the sun to reach Neptune.

Given the Parameters :

Mercury's average distance from sun = 35000000 miles

Time taken for light to travel to mercury = 3 minutes

Neptune's average distance from sun = [tex] 2.8 \times 10^{9} [/tex]

Number of times Neptune is father from the sun than Mercury :

(Neptune's distance) ÷ Mercury's distance

[tex] \frac{2.8 \times 10^{9}}{35000000}= 80 [/tex]

Hence, Neptune is 80 times farther from the sun than Mercury.

Time taken for light to reach Neptune :

Time taken to each mercury × 80

3 minutes × 80 = 240 Minutes

60 minutes = 1 hour

240 minutes = (240 ÷ 60) = 4 hours

Therefore, it would take 4 hours for light to reach Neptune.

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Related Questions

Ayden filled up his car with gas before embarking on a road trip across the country. The car uses 2 gallons of gas for every hour driven, and after driving for 4 hours, there were 4 gallons of gas left in the tank. Write an equation for G,G, in terms of t,t, representing the number of gallons of gas remaining in Ayden's gas tank after tt hours of driving.

Answers

Answer:

G=-2t=12

Step-by-step explanation:

uh well i did delta thats was the answer they gave me...

Total capacity: 12 gallons

Equation: G = 12 - R*t

What is mathematical expression?

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

Let R be rate of gas consumption by car = 2 gallons/hr

Let G be the gallons in the car left

let g be the gallons used by the car while driving

Driven time, t = 4 hrs

Remaining gas =4 gallons

according to the question,

consumption rate, R = g/t

After driving for 4 hours

2 = g/4

g = 2*4 = 8 gallons

remaining gas = 4 gallons

therefore, total capacity of the car = 8 + 4 = 12 gallons

equation in terms of gas left,

G = 12 - R*t

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The sum of the digits of a two digit number is 11 the number got by interchanging the digits is 27 more than the original number. What is this number ?

Answers

Let the digit in one's place be y and digit at ten's place be x.

Given:

Sum of the digits = 11

⟶ x + y = 11

⟶ x = 11 - y -- equation (1).

And,

The number formed by reversing the digits is 27 more than the original number.

⟶ Reversed number = Original number + 27

reversed number = 10y + x.

⟶ 10y + x = 10x + y + 27

⟶ 10y + x - 10x - y = 27

⟶ 9y - 9x = 27

Substitute the value x from equation (1).

⟶ 9y - 9(11 - y) = 27

⟶ 9y - 99 + 9y = 27

⟶ 18y = 27 + 99

⟶ 18y = 126

⟶ y = 126/18

⟶ y = 7

Substitute the value of y in equation (1).

⟶ x = 11 - 7

⟶ x = 4

The number = 10(4) + 7 = 40 + 7 = 47.

∴ The required two digit number is 47.

I hope it will help you.

Regards.

IF YOU CAN GET THIS YOU CAN GET SOME POINTS HURR BRAINLIEST IS WAITING!!!!!

My twin lives at the reverse of my house number. The difference between our house numbers ends in two. What are the lowest possible numbers of our house? MY HOUSE NUBER IS 19

Answers

Answer:

21 or 12

Step-by-step explanation:

Suppose, the number of one of the houses is “xy”, whose numerical value = (10x + y).

So, the number of the other house is “yx”, whose numerical value = (10y + x).

Let, “xy” > “yx”.

Now, difference of house numbers = {(10x + y) - (10y + x)} = {9 * (x - y)}; so the difference is a multiple of 9.

Now, the smallest positive number, divisible by 9, that ends with 2 is 72 = (9 * 8).

So, (x - y) = 8.

Since, 0 ≤ x, y ≤ 9; so, there are two solutions in hand:

I) x = 8, y = 0……………………..this makes the house numbers: “80” and “08”.

II) x = 9, y = 1…………………..this makes the house numbers: “91” and “19”.

So, the lowest possible numbers of the houses are “80” and “8” (not “91” and “19”).

A single digit number can not have its reverse number. hence 10,20,30,40,50,60,70,80 and 90 can not be the house number

Reverse of these numbers is same, hence 11,22,33,44,55,66,77,88 and 99 can not be the house number

For other reverse numbers the difference will be in multiples of 9 like 9,18,27,36,45,54,63,72,81

As the difference between house numbers ends in two, the lowest possible numbers of our house are 19 and 91

When 0 (zero) also considred as part of house number, the lowest possible numbers of our house are 08 and 80


Look at the image above please! Could someone please do this for me. I have no idea what to do. Please its due today

Answers

Answer:

W perimeter = 40

Step-by-step explanation:

All the sides of the squares equal the same amount.

If the perimeter of R is 28 divide 28 by 4 to give you 7.

And to get the area of a square you do length x width

So T would be 3 x 3 = 9

And it you add up 7 + 3 the sides on R and T = 10

So the left side on square W = 10

To get the perimeter multiply 10*4 = 40

I'm 90% sure, but hope this helps!!!

The slope of the line below is -5/7. write a point slope equation of the line using the coordinates of the labeled point

Answers

need the coordinates to be able to answer

Let p = 5 - 2i and q = -3 + 7i
Write the expression in the form a + bi
p +9

Answers

It’s 92 cause -3+7 if you didn’t know

Only answer if you know...how to send or accept friend requests.I use brainly.com and when I click on someone's profile this is what it shows so how do I send or accept friend requests then?I need help with my maths question:5x÷3=26​

Answers

Answer:

your answer is 15.6

Step-by-step explanation:

5x divided by 3= 26

multiply 3 by each side

5x = 78

divide 5 by each side to get x by itself

x= 15.6

A package of candy contains 8 mini candy bars. The cost of the package is $2. What is the unit price?​

Answers

Answer:

16 8 * 2 = 16 <3

Step-by-step explanation:

3n + 2 =
24
17
5
i had to put extra letters

Answers

Answer:

17 is your answer

Step-by-step explanation:

Kamila reads 5/8 pages in ⅔ minutes. How many pages does she read per minute?

Answers

Answer:

Something like 15/16 page per minute.

Step-by-step explanation:

Tell me if I am wrong.

5. If you want to get a black belt in karate, then you must first get a brown belt. If you want to get a brown belt in karate, you must first get a white belt.​

Answers

Answer:

yes??? what’s the question??

Step-by-step explanation:

Measure the angle and classify it as right, acute, or obtuse.

Answers

Answer:

b

Step-by-step explanation:

How does knowing some constructions help you do other, more complicated constructions

Answers

Answer:

the first thing you learned is the base. then you can build off of it. just like math. you learn simple adding then you go onto multiplication and division.

Question 9 (1 point)

The histograms and summary statistics summarize the data for the number of hits in the season by baseball players

in two leagues. Each data set contains one outlier. What are the values of the two outliers? Explain how each value

is determined to be an outlier.

Some summary statistics for the number of hits by players in each league.

mean median standard deviation minimum Q1 Q3

maximum

league A 151.12 148 26.83

29

136 167 207

league B 163.25 157 24.93

136 145 178 256



Plsss helppp

Answers

Answer:

Step-by-step explanation:

League A                   League B

151.12                            163.25

148                                157

26.83                             24.93

29                                  136

136                                145

167                                178

207                               256

League A in ascending order :

26.83 , 29 , 136, 148 , 151.12 , 167,207

[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\\\Mean = \frac{26.83+29 +136+ 148+ 151.12+ 167+207}{7}\\\\Mean =123.564[/tex]

Median = Mid value of data

n = 7

So, mid value = 4th term

Median=148

Standard deviation=[tex]\sqrt{\frac{\sum(x_i-\bar{x})^2}{n}}[/tex]=[tex]=\sqrt{\frac{(26.83-123.564)^2+(29-123.564)^2+.......+(207-123.564)^2}{7}}=63.98[/tex]

To Find Q1

Q1 is the mid value of lower quartile

Lower quartile : 26.83 , 29 , 136, 148

n = 4

Q1=82.5

To Find Q3

Q3 is the mid value of upper quartile

Upper quartile : 148 , 151.12 , 167,207

n = 4

Q3=159.06

IQR = Q3-Q1=159.06-82.5=76.56

To find outlier

(Q1-1.5IQR ,Q3+1.5IQR)

[tex](82.5-1.5\times 76.56,159.06+1.5\times 76.56)[/tex]

(-32.34,273.9)

So, There is no outlier

Maximum = 207

2)

League B in ascending order :

24.93,136,145,157,163.25,178,256

[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\\\Mean = \frac{24.93+136+145+157+163.25+178+256}{7}\\\\Mean =151.45[/tex]

Median = Mid value of data

n = 7

So, mid value = 4th term

Median=157

Standard deviation=[tex]\sqrt{\frac{\sum(x_i-\bar{x})^2}{n}}[/tex]=[tex]=\sqrt{\frac{(24.93-151.45)^2+(136-151.45)^2+.......+(256-151.45)^2}{7}}=68.42[/tex]

To Find Q1

Q1 is the mid value of lower quartile

Lower quartile : 24.93,136,145,157

n = 4

[tex]Median = \frac{\frac{n}{2} \text{th term}+(\frac{n}{2}+1) \text{th term}}{2}\\Median = \frac{\frac{4}{2} \text{th term}+(\frac{4}{2}+1) \text{th term}}{2}\\Median = \frac{2 \text{th term}+3 \text{th term}}{2}\\Median = \frac{136+145}{2}=140.5[/tex]

Q1=140.5

To Find Q3

Q3 is the mid value of upper quartile

Upper quartile : 157,163.25,178,256

n = 4

Q3=170.625

IQR = Q3-Q1=170.625-140.5=30.125

To find outlier

(Q1-1.5IQR ,Q3+1.5IQR)

[tex](140.5-1.5\times 30.125,170.625+1.5\times 30.125)[/tex]

(95.3125,215.8125)

24.93 and 256 are outliers  

Maximum = 256

of one
has 30 days
The month of November
sunday
day is chosen at random, what is the
probability that was a sunday​

Answers

Answer:

1/6 or 16 %

Step-by-step explanation:

hope this helps

Answer:

We know that

November has 30 days, which means 4 weeks and 2 days.

Step-by-step explanation:

Now, 4 weeks will contain 4 Sunday.

The remaining 2 days may be :

1. Sunday and Monday

2. Monday and Tuesday

3. Tuesday and Wednesday

4. Wednesday and Thursday

5. Thursday and Friday

6. Friday and Saturday

7. Saturday and Sunday

Total number of possible outcomes = 7

Now, favourable outcomes are : Sunday and Monday, Saturday and Sunday

Number of favourable outcomes = 2

Required probability (P)= Number of favourable outcomes /Total number of possible outcomes

P = 2/7

Refer to the given sets information Y U Z

Answers

Answer:

i hate biden

Step-by-step explanation:

Which of the following could be a factor of the following Trinomial.
3 points
x?+ 12x +27

Answers

Answer:

[tex](x + 9)[/tex]

Step-by-step explanation:

[tex] {x}^{2} + 12x + 27[/tex]

[tex](x {}^{2} + 3x) + (9x + 27)[/tex]

[tex]x(x + 3) + 9(x + 3)[/tex]

[tex](x + 3)(x + 9)[/tex]

[tex] \red { \orange {\boxed {\boxed{\star Option \: 1 \star}}}}[/tex]

#IfWrongPleaseReport

#StudyTogetherWithMe

#ILoveMath

You are preparing a case study on the dallas cowboys. You use many methods of data collection in creating the case study. Here is an excerpt: the dallas cowboys were formed in 1960 and have had seven head coaches since then. I surveyed 100 people and one of the questions was, who is your favorite coach of the dallas cowboys? Seventy people said tom landry, fifteen said jimmy johnson, five said bill parcells, and ten answered other. One of those who answered other was my brother. I asked him which coach was his favorite and he said, "barry switzer because he was the last one to win a championship." i knew he was kidding because he had a smirk on his face. The excerpt relays information gathered from questionnaires, interviews, observations, and historical data. Identify the information from the case study that was collected by each of the four methods.

Answers

Answer:

The information that was collected by each of the four methods is;

The participant's favorite coach of the Dallas Cowboys.

Step-by-step explanation:

For each of the four methods listed, the question that stood out was the favorite coach of the Dallas Cowboys among the participants in the study.

Questionnaire: one of the questions was, who is your favorite coach of the Dallas cowboys?

Interview: I asked him which coach was his favorite

Observation: I knew he was kidding because he had a smirk on his face. This observation showed that Barry Switzer was not really his favorite coach.

Historical data:  I asked him which coach was his favorite and he said, "Barry Switzer because he was the last one to win a championship." This historical data shows that the reason why Barry Switzer was chosen as the researcher's favorite coach was that he was the last to win a championship.

Please help im a bit confused

Answers

Answer:

200,000

80,000

9,000,000

10,000,000,000

What is the context of this question?

Step-by-step explanation:

Answer:

So standard form just means 200,000 written as like 200^ something(I think)

Step-by-step explanation:

Are the ratios equivalent? 2/3 and 8/12 Explain.

Answers

Answer:

Yes.

Step-by-step explanation:

2/3 and 8/12 are equal because of a multiplying factor. To get from 2 to 8, you'd have to multiply by 4. And to get from 3 to 12 you would have to multiply by 4 as well. So that means they are equal because both the numerator and denominator are multiplied by 4.

If two ratios are equal then the ratios are said to be in proportion and equivalent.

The ratios 2/3 and 8/12 are equivalent.

The simplest form of both ratios is 2/3.

What is a ratio?

The ratio is the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

If two ratios are equal then the ratios are said to be in proportion and the ratios are said to be equivalent.

We have,

Two ratios:

2/3 and 8/12

We will make the ratios in their simplest form:

2/3 is in the simplest form.

8/12 = 4x2/4x3 = 2/3 is the simplest form.

We see that both the ratios are equal so the ratios 2/3 and 8/12 are in proportion.

Thus,

The ratios 2/3 and 8/12 are equivalent.

The simplest form of both ratios is 2/3.

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WILL GIVE BRAINLIEST

Which of the following is an equation of the tangent line to y=sin x +cos x at x=3.14/2

Answers

Answer:

y o = 2 sin ( π/6 ) = 2 * 1/2 = 1

x o = π / 6

y ` = 2 cos x = 2 cos (π/6) = 2 * √3 / 2 = √ 3;

m = √3

An equation of the tangent line is:

y - y o = m ( x - x o )

Answer:

y - 1 = √3 ( x - π/6 )

Step-by-step explanation

please give me brainliest     hope it helps

5 apples weight 0.6 kilograms. All of our apples weigh the same. How many kilograms will 12 apples weigh?

Answers

Answer:

I think 7.2

Step-by-step explanation:

I multiply .6 to 12 and got that

can someone pls help with this i need help since Friday

Answers

Answer:

I'm pretty sure that A is right.

Step-by-step explanation:

They share a side, making them equal.  It is also shown that RQ and SR are equal.  This means that, for SAS, all you need is the angle in between them.

I hope this helps!

After all markdowns and discounts, Charlene's prom dress cost her $22 before tax. The dress was on a rack labeled "50% off lowest marked price," and the lowest marked price was already a 75% reduction from the original price. What was the original price of the dress?

Answers

Answer: $88.

Step-by-step explanation:

given data:

The cost of the dress for the prom = $22

label of the rack the dresss was on = 50%.

lowest marked price for the dress = 75%.

Solution:

if the lowest marked price of the cloth was already 75%.

and the current cost of the clothe is $22

the original cost of the cloth would be

100% – 75% = 0.25%

= $22 * 100 / 0.25%

= $88.

The original cost of the dress was $88

Answer:

$88

Step-by-step explanation:

If f(x) = 2 + 6x and g(x) = x2 +3 , determine g(4).

Answers

Answer:

The answer is 19.

Step-by-step explanation:

You have to substitute x = 4 into the function of g(x) :

g(x) = x² + 3

g(4) = 4² + 3

g(4) = 16 + 3

g(4) = 19

The table shows the total number y (in billions) of U.S. movie admissions each year for x years. Use a graphing calculator to find an equation of the line of best fit for the data. Round each value to the nearest hundredth.
The line of best fit is y = _

(I need this by 11 pm please)

Answers

Answer:

By rounding up of the constant and coefficient terms, we have;

The line of best, fit is y = 1.23 + 3.46 × 10⁻²·x

Step-by-step explanation:

The table for the data on the number of movie admissions each year is presented as follows;

Year, x                                             [tex]{}[/tex]                      Admission, y

0                                                      [tex]{}[/tex]                         1.24

2                                                       [tex]{}[/tex]                        1.26

4                                                      [tex]{}[/tex]                         1.39

6                                                      [tex]{}[/tex]                         1.47

8                                                      [tex]{}[/tex]                         1.49

10                                                      [tex]{}[/tex]                        1.57

Using a graphing calculator, we have that the line of best fit is given by the following equation;

y = 1.23047619048 + 3.45714285714 × 10⁻²·x

Which is approximately, y = 1.23 + 3.46 × 10⁻²·x

Jill jumped 6 1 3feet in the long-jump event. Jill’s best friend jumped 6 5 7feet. How much farther did Jill’s best friend jump? Describe in words the process you used to solve the problem

Answers

Answer:

Subtract 6.13ft from 6.57ft, and you should get .44 as your answer.

Lets work on an old skill you ve already learned!
Determine the following for the set of data
13, 18, 13, 14, 13, 16, 14, 21, 13
Mean
Median
Mode
Range

Answers

Answer:

mean:15

median:14

mode:13

range: 8

What is the quotient of 2/3 and 5/6;
A.1 4/5
B.4/5
C.5/9
D.1 1/4

Answers

B because multiply by the reciprocal giving u 2/3 x 6/5, then you’d reduce with the greatest common factor 3 giving u 2 x 2/5 = 4/5
the answer would be B

5-2(x+2)=12
Decimal Form and work under the problem too HURRY!!!1

Answers

5-2(x+2)=12. 3(x+2)=12. 3x+6=12.
-6. -6

3x=6. Divide 6 by 3x. x=2
Other Questions
Look at the following graph and determine the slope of the line. AY 10 7 5 3 2 1 1 2 3 4 5 6 7 8 9 8 9 10 what groups were involed in the french and indian war A rectangular garden is fenced on all sides with 262 feet of fencing. The garden is 9 feet longer than it is wide. Find the length and width of the garden. For a program to be successful, readiness for training should be assessed on two dimensions: employee characteristics and work environment. The employee characteristics that are relevant to training are the ability to learn the subject matter, attitudes toward training, and motivation to learn. Even if these are present, however, training will not be effective unless there is a positive work environmentan environment that encourages learning and eliminates obstacles for trainee success. An important characteristic of employee readiness is having basic learning skills, especially cognitive ability that includes using written and spoken language, solving math problems, and using logic to solve problems. If employees lack certain basic skills, they may have to attend some remedial classes before participating in job-related training. Seeing potential benefits from training programs may increase employee motivation to participate. Readiness for training also depends on work environment characteristics called situational constraints and social support. Constraints can include the limits of training's effectiveness from within the organization, such as lack of money or lack of time for training and practicing. Social support refers to the ways that the organization encourages training by expressing positive attitudes toward its training programs. The goal of this activity is to evaluate employee readiness for training.Read each statement, then select the appropriate category 1. When new employees arrive on the sales floor after training at Hamilton Department Store, experienced employees have a tendency. Forget what you learned. This is how we really do it. 2. Time and again, Brooke's employees complained that the statistical quality control training was too difficult to be useful. 3. As much as she would like to. Elizabeth really doesn't think top management is going to allocate enough money to train everyone on the new software this year. 4. Although Jane really wanted to participate in the diversity training program, she knew it was impossible to get away from the office for three days in order to participate. 5. Ed was excited to hear about the new technical training program, but disappointed when he heard his boss say that he really didn't think the training was the time and effort a. Social Support b. Situational Constraints c. Employee Readiness aaaaaaaaaaaaaaaaaaaaa Find the distance between (8,-4,7) and (8,5,3) this is an assignment for my son who is having trouble doing the steps to solve these math problems. are holidays non material culture What is the scale factor of 12?Scale factor: A number that enlarges/reduces a figure or shapeGreater than 1 Less than 1 Equal than 1 Need Help!!!! Estimate the square root of 19 to the nearest tenths place Which phrase best completes the diagram?Physical geography ofthe Indian subcontinentYearly monsoonseasonsDry climate inthe north?O A. No access to energy resourcesB. Few mineral resources such as ironO C. Major rivers that suffer from pollutionD. Very little land suitable for farming Please Help, this is 20pts worth it.. Please Dont waste my points.. please help.. Hong needs to memorize words on a vocabulary list for Spanish class. He has memorized 30 of the words, which is five-sixths of the list. How many words are on the list? I am doing PowerPoint (google slides) and I really need help on searching the info and knowing what to write in the slides! I am doing La Segua/Cegua ( I think thats how you write it) please help someone help me do this if you could give me the answers and I will display it in the slides (Can you read the picture ?) Read the excerpt from Frida Kahlo by Hedda Garza.Curious to know more about the daring young girl below, the bulky Rivera made the slow descent to the ground floor. Kahlo wasted no time in preliminaries. . . . "I have come to show you my paintings," she told him audaciously. She told him her name and Rivera remembered that just a few years earlier, the director of the National Preparatory had told him that the girl who had caused him so much trouble was the same Frida Kahlo. Instead of becoming angry at Kahlo's audacity, the unconventional artist was delighted to meet his former tormentor face to face.The author seems to admire Frida Kahlo's brave personality. 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