There are two twins. One twin wants to explore the planet near Proxima Centauri and leaves on a spaceship traveling at 90% of the speed of light, while the other twin stays home on Earth. How much does the twin on Earth age while the other twin travels to Proxima Centauri?

Answers

Answer 1

Answer:

4.7 years

Step-by-step explanation:

Distance of planet from Earth = 1.3 parsec

We know that 1 parsec = 3.26 light years

And a light year is the distance traveled by light in time period of 1 year.

So, Distance of planet from Earth = 1.3 [tex]\times[/tex] 3.26 = 4.24 light years

Given that, the person travels at a speed equal to 90% of the light speed.

To travel to the planet from Earth, Light takes 4.24 years.

To travel the distance [tex]D[/tex], at a speed [tex]s[/tex] light takes time of 4.24 years.

To travel the distance [tex]D[/tex], at a speed [tex]0.90s[/tex], the person takes time:

[tex]\dfrac{4.24}{0.90} = \bold{4.7\ years}[/tex]

So, the twin on Earth ages by 4.7 years.

Answer 2

Answer:

4.7 years

Step-by-step explanation:


Related Questions

1. Represent the following system with a matrix
-2x + 4y + z = 0
-X + 3y = 0
5x + y + 9z = 8
2. What linear system of equations does this matrix represent?
6 -1 112
-1 10
3. What is the solution of this system of equations? Use your calculator.
3a + 2b - C = 7
2a - C = 5
A-4b+c=.4
4. You manage a health food store and budget $80 to buy ingredients to make 30 pounds
of trail mix. Peanuts cost $2.50 per pound, raisins cost $2.00 per pound, and granola
costs $4.00 per pound. If you use twice as many pounds of peanuts as raisins, how
many pounds of each ingredient should you buy? Show as much work as necessary.
You will not get any credit for just writing answers.

Answers

Answer:why is it show glitchy

Step-by-step explanation:

what is 5 and one half minus three and one third?

Answers

Answer:

1 2/3

Step-by-step explanation:

5 1/2 = 11/2 x 3 = 33/6

3 1/3 = 10/3 x 2 = 20/6

30 - 20 = 10/6 = 1 4/6 = 1 2/3

Answer: 2 1/6

Step-by-step explanation:

5 1/2 - 3 1/3

=

5 3/6 - 3 2/6

=

5 - 3 = 2

3/6 - 2/6 = 1/6

= 2 1/6

-6x+15=33 what is the first best step in solving for x?

Answers

Do 33-15 then divide by -6 and you should get your answer

Answer:

x= -3

Step-by-step explanation:

1) subtract 15 on both sides

should look like: -6x=18

2) divide the -6 on both sides

3) 18 divided by -6 is -3

Take these points but pls answer my other question:
https://brainly.com/question/18304671
or go to my acc and my questions.

Answers

Answer:

Thank U

Step-by-step explanation:

Answer:

thx

Step-by-step explanation:

An image of a book shown on a website is 1.5 inches wide and 3 inches tall on a conputer monitor the actual book is 9 inches wide . How tall is the actual book ?

Answers

Answer:

Step-by-step explanation:

Step one: 9÷1.5= 6

Step two: 3·6=18

The actual book is 18 inches tall and 9 inches wide

the sum of three consecutive odd integers is 57. what are three integers.

Answers

Answer:

17,19,21

Step-by-step explanation:

Let x be the smallest integer

x+x+2+x+4=57

3x+6=57

3x=57-6

3x=51

x=51/3

x=17

17,19,21

Write the point-slope form of an equation for a line that passes through the point with the given slope.
(-6, -2), m = -2

y+2 = 2(x + 6)
y + 2 = -2(x + 6)
y + 2 = -2(x-6)
y - 2 = -2(x + 6)

Answers

Answer:
y+2=-2(x+6)

Explanation:
Point-slope form: y-b=m(x-a) when the points are (x,y) and (a,b)

“M” means the slope.

Because we are already given a point, we just need to plug in the values as a and b. We can also plug in the value for the slope as m.

y-b=m(x-a)
y-(-2)=-2(x-(-6))
Two negatives make a positive
y+2=-2(x+6)

I hope this helps! Please comment if you have any questions.

Find the slope of the line through (6, -7) and (4, -8)

Answers

Answer:

1/2

Step-by-step explanation:

Y2-y1

________

X2-x1

-7 - (-8) = 1

6-4=2

Slope is 1/2

The slope of the line through (6, -7) and (4, -8)

What is the slope?

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

where (x₁, y₁) and (x₂, y₂) are the two points that you are trying to find the slope between.

Given;

Two points; (6, -7) and (4, -8)

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

m=(-8-(-7))/(4-6)

m=(-1)/-2

m=1/2

Therefore, the slope between the two given points will be1/2

Learn more about slope here:

https://brainly.com/question/2503591

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2. The movie theater has three different sizes of popcorn containers. Enrique found the movie boring and wondered how much more space the larger boxes have for filling purposes. The volume of the popcorn containers in cubic feet are expressed in the
following table.
Size
Small
Medium
Large
Volume Function
s(x) = x3 + 5x2 + 10x + 64
m(x) = 3x3 + 2x2 - 4x - 10
1(x) = 5x3 - x2 + 23x + 2
Write a function d(x) to represent the extra space available in the large box when
compared to the small box. Then, determine the difference between d(x) and m(x).

Answers

Answer:

part one: 4x^(3)-6x^(2)+13x-62

part two: x^(3)-8x^(2)+17x-52

Step-by-step explanation:

1 Two functions are shown below. Function A Function B x 0 3 5 y 5 3x 1 2 y 3 9 13 Which statement correctly describes the rates of change of the two functions? A The rate of change is 2 for both Function A and Function B. B The rate of change is 3 for both Function A and Function B. C The rate of change is greater for Function A than for Function B. D The rate of change is greater for Function B than for Function A.

Answers

Answer:

D The rate of change is greater for Function B than for Function A

Step-by-step explanation:

A function shows the relationship between a dependent variable and an independent variable. A linear function is given as y = mx + b, where m is the rate of change, y is the dependent variable, x is the independent variable and b is the value of y when x = 0.

Function B is given by y = 3x + 2. Comparing with y =mx + b gives m = 3. Therefore the rate of change of function B is 3.

Function A has x: 0, 3, 9 and y:3, 9, 13. Using the points (0,3) and (3, 9), we an get the equation of the function. The formula is:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-3=\frac{9-3}{3-0}(x-0)\\ \\y-3=2x\\\\y=2x+3[/tex]

Function A is given by y = 2x + 3. Comparing with y =mx + b gives m = 2. Therefore the rate of change of function A is 2.

The rate of change is greater for Function B than for Function A

3(2a+5b)+5(a-2b)
Who can tell me the answer for this one please ​

Answers

Answer:

11a + 5b

Step-by-step explanation:

3(2a + 5b) + 5(a-2b)

First, distribute 3 to 2a and 5b, and distribute 5 to a and -2b

6a + 15b + 5a - 10b

Combine like terms

11a + 5b

Have a good day, be safe

I hope that this helps

Select the equation that is the inverse of the given function.


x


- 3


f(x) =


5


o


o


o


f-1(x) = 5x + 15


f-1(x) = 5x +3


f-1(x) = 3x - 5


-1(x) = x


wun


DONE

Answers

Answer: f-1(x) = 5x+3

Step-by-step explanation: just did the assignments

Somebody who remembers how do to this plz answer all the questions correctly thanks so much!!!!
(WILL MARK AS BRAINLIEST)
:D

Answers

28. 0.16 (add a line above 6)

29. 0.45 (add a line above 45)

30. 0.4 (add a line above 4)

31. 0.27 (add a line above 7)

32. 0.037 (add a line above 037)

33. 0.045 (add a line above 45)

34. 0.27 (add a line above 27)

35. 0.148 (add a line above 148)

36. 0.16 (add a line above 6)

37. 2.83 (add a line above 3)

Why?

Just divide the 1st number by the last numberb and if the numbers repeat at the end, add a line above them!

^^^^^ bro that guy so smart

in the isosceles trapezoid below x = ?

Answers

5x-20=2x+37

3x-20=37

3x=57

x=19

The coordinates of A are (1,1) and the coordinates of B are (-5,-1)what are the coordinates for the midpoint of line segment AB?

Answers

Answer:

8 point M is the midpoint of AB.

Step-by-step explanation:

I hope that helps u out!

The blade of a windmill turns 60 times in 2 minutes. How many times does the blade turn in 15 minutes

Answers

Answer:

450

Step-by-step explanation:

60 divided by 2= 30

it spins 30times per minute

30 times 15= 450

Carla makes $18.50 per hour. Calculate her earnings for a 30 hour week.
Gross Earnings
Taxes Withheld
Social Security Tax
Gross Pay:
$33.48
Medicare Tax
$7.83
Federal Tax
$65.50
Total Amount of Withholdings/
$21.60
Deductions:
State Tax
Deductions
Net Pay:
Net Earnings

Answers

Answer:

Her earnings would be $555

Answer:It's b

Step-by-step explanation:

PLEASE HELP!!!!!
Type the integer that makes the following subtraction sentence true:

− –478 = –398

Answers

The answer would be “-876”

ANSWER NEEDED ASAP
What is the reason for statement 3 in this proof?
A.
using point-slope formula
B.
definition of parallel lines
C.
Transitive Property of Equality
D.
Reflexive Property of Equality
E.
definition of midpoint

Answers

Answer:e

Step-by-step explanation:

Which expression has a value of 13

Answers

Answer:

D.

I promise

Step-by-step explanation:

Hope this helps!!

LOTS OF POINTS!!! HELP WITH 7 ANd EXPLAIN!!

Answers

Answer:

w=4

Step-by-step explanation:

The surface area of a prism is SA= 2lw+2lh+2hw

We are trying to find out the width if the SA is 240 square inches, length is 12 inches, and the height is 5 inches. Let's plug these numbers into the equation.

240=(2*12*w)+(2*12*5)+(2*5*w)

          24w+120+10w

240= 34w+120

-120           -120

120= 34w

120/34 = 34w/34

w is approximately equal to 3.5 which can be rounded to 4

w=4

Hope this is right! It was confusing at first but I understood it!

Please Dont Skip Over My Question, Please Help Me. ;(


Let f(x) = –7x + 9. Suppose you add 2 to the input of f to create a new function g, then multiply the output of function g by –3 to create function h. What are the slope and y-intercept of the graph of function h?


slope =
y-intercept =

Answers

Answer: slope = 21, y-int = 15

Step-by-step explanation:

f(x) = -7x + 9

g(x) = -7(x + 2) + 9 = -7x - 5

h(x) = -3(-7x - 5) = 21x + 15

slope = 21

y-intercept = 15

hope this helps (not sure if my answer is correct)

What is this number written in scientific notation: 0.0000453​

Answers

Answer:

4.53 x 10^-5

Step-by-step explanation:

rewrite the linear equation 2x=1/3y-9 in slope- intercept form.
y=. x. +

Answers

Answer:

y = 6x + 27

Step-by-step explanation:

The required linear equation would be y = 6x + 27 in the slope-intercept form.

What is a Linear Function?

A linear function is defined as a function in the form of f(x) = mx + c where 'm' and 'c' are real numbers.

It represents the line's slope-intercept form, which is written as y = mx+ c.

Linear equations can be solved in four different ways: by adding, subtracting, multiplying, and dividing.

The linear equation is given in the question

⇒ 2x = (1/3)y - 9

We have to rewrite the equation in the slope-intercept form.

⇒ 2x = (1/3)y - 9

Multiply by 3 both sides of the above equation,

⇒ 6x = y - 27

Rearrange the term of y to get

⇒ y = 6x + 27

Therefore, the required linear equation would be y = 6x + 27 in the slope-intercept form.

Learn more about the Linear equations here:

https://brainly.com/question/13738061

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The Monkey and the Cookie Jar
Once there was a monkey who found a jar full to the brim with cookies. He eyed them hungrily, and shoved his hand into the jar, grabbing as many as he little paw could hold. But when he went to remove his hand from the jar, he couldn’t get it out. His hand was too full of cookies. Unwilling to lose the cookies, and yet not able to get his hand out, the monkey burst into tears.
THEME: ________
Golden Line explanation: _______

Read each fairy tale or short story. (1) Identify the theme of the passage. (2) highlight phrases in the fairy tale that support your theme choice, and (3) write two sentences explaining how those Golden Lines support your theme choice.


Answers

Answer:

The theme is the monkey and the cookie jar

Step-by-step explanation:

The golden line is he was unwillingly not letting the cookies go but couldn't get his hand out

This is the golden line explanation because you can learn a lesson from this story. The lesson is to not be stubborn.

Please mark me as brainliest since I'm the one that actually answered your question

I RLLY NEED HELP BC THIS WAS DUE ALREADY!!! Answer ASAP thank you!

Answers

Answer:

10,560 yards

Step-by-step explanation:

5280 plus 5280 equals 10,560

Oof I’m failing as well girly

what are the steps to solve n/7-5=-3

Answers

Answer:

n = 14

Step-by-step explanation:

n/7 - 5 = -3

n/7 = 2

n = 14

It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose we are interested in the number of California residents we must survey until we find a resident who does not have adequate earthquake supplies. a. In words, define the random variable X. b. List the values that Xmay take on. c. Give the distribution of X.X~ _____(_____,_____) d. WhatistheprobabilitythatwemustsurveyjustoneortworesidentsuntilwefindaCaliforniaresidentwhodoes not have adequate earthquake supplies? e. What is the probability that we must survey at least three California residents until we find a California resident who does not have adequate earthquake supplies? f. HowmanyCaliforniaresidentsdoyouexpecttoneedtosurveyuntilyoufindaCaliforniaresidentwhodoesnot have adequate earthquake supplies? g. How many California residents do you expect to need to survey until you find a California resident who does have adequate earthquake supplies?

Answers

Answer:

Step-by-step explanation:

We are given that 30% of California residents have adequate earthquake supplies.

a) Ramon variable X denotes the number of the california residents that have adequate earthquake insurance

B) x can take value 1 ,2 ,3 ......

C)The distribution of random variable is geometric distribution with parameter p=0.3

The pmf of geometric distribution is

[tex]P(X=x)=0.3(1-0.3)^{x-1} , x=1,2,3...[/tex]

D)P(X=1) or P(X=2)=P(X=1)+P(X=2)

P(X=1) or P(X=2)=[tex]0.3(1-0.3)^{1-1}+0.3(1-0.3)^{2-1}=0.51[/tex]

E)

[tex]P(X \geq 3)=1-P(X<3)\\P(X \geq 3)=1-(P(X=1)+P(X=2))\\P(X \geq 3)=1-0.51\\P(X \geq 3)=0.49[/tex]

F)

[tex]E(X)=\frac{1}{p}[/tex]

p is the resident who does not have adequate earthquake supplies.

p = 1-0.3 = 0.7

[tex]E(X)=\frac{1}{0.7}=1.42[/tex]

G)[tex]E(X)=\frac{1}{q}=\frac{1}{0.3}=3.33[/tex]

Jonas's printer can print 96 black and white pages in 4 minutes. If the ratio of pages printed to minutes is constant, how many minutes will it take the printer to print 240 pages?

Answers

Answer:

It will take 10 minutes for the printer to print 240 pages.

Step-by-step explanation:

First, you have to find how many pages the printer prints in 1 minutes. whixh is 24. You can find this by simply dividing 96 by 4. Then, you divide 240 from 24, and get 10! Hope this helps!

What is the image of (3,-6) after a dilation by a scale factor of 4 centered at the origin?

Answers

Answer:

7,-10

Step-by-step explanation:

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A challenge that Italy faced after unification wastoo much control by the church.ongoing wars with other nations.political unrest and instability.demand for new nation-states. 7.82 change the decimals to fractions reduced to lowest terms. Which sentence from this excerpt of Jefferson Daviss Inaugural Address indicates that secession was the Confederacys way of reclaiming its legal powers? An agricultural people, whose chief interest is the export of a commodity required in every manufacturing country, our true policy is peace, and the freest trade which our necessities will permit . . . There can be but little rivalry between ours and any manufacturing or navigating community, such as the Northeastern States of the American Union. It must follow, therefore, that a mutual interest would invite good will and kind offices. If, however, passion or the lust of dominion should cloud the judgment or inflame the ambition of those States, we must prepare to meet the emergency and to maintain, by the final arbitrament of the sword, the position which we have assumed among the nations of the earth. We have entered upon the career of independence, and it must be inflexibly pursued. Through many years of controversy with our late associates, the Northern States, we have vainly endeavored to secure tranquillity, and to obtain respect for the rights to which we were entitled. As a necessity, not a choice, we have resorted to the remedy of separation; and henceforth our energies must be directed to the conduct of our own affairs, and the perpetuity of the Confederacy which we have formed. If a just perception of mutual interest shall permit us peaceably to pursue our separate political career, my most earnest desire will have been fulfilled. 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