20 Jun Sorry it is a bit long but I wished to explain about ambigui
Sorry it is a bit long but I wished to explain about ambiguities in the question and the derivation of units/equations. The actual calculations are short! With assumptions I get ## ~~ 0.69color(white)(.) Earth years## This is a tricky one as there may be some ambiguity about 16.21 days which is: to which planet is the day attributed? Also the units are tricky. They behave the same way numbers do!!! ##color(blue)(Assumption 1)## From the sentence part of one Mercury year minus 16.21 days I am assuming that the days are Mercury days. From year minus 16.21 days I am assuming that they are directly linked. Thus the days are directly attributable to the Mercury year. ##color(blue)(Assumption 2)## Our annual cycle is split up into 365 units of cycles in one solar year ( a day). The other planets will circle the sun at different speeds but will experience the equivalent effects our planet does. However these will be at different rates. Thus for each planet their year may also be split up into 365 rotational units. ##color(blue)(Building the initial equation)## We are talking about units of measurement in both days and years. So let the generic unit for day be d and the generic unit for year be y. This gives us: Let the year unit of measurement for Mercury be ##y_m## Let the day unit of measurement for Mercury be ##d_m## Similarly for Earth we have ##y_e and d_e## And for Pluto we have ##y_p and d_p## ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ##color(blue)(Another potential ambiguity.)## Consider the question in parts: One year on Mercury is 87.97 on Earth ##color(white)(xxxxxxxxxxx)color(green)(-> 1y_m= 87.97d_e ………………..(1))## No doubt about the meaning! One year on Pluto is 3 times one year on Mercury minus 16.21 days Does this mean:##color(white)(…)color(blue)(1y_p=3( 1y_m-16.21d_m)## Or does it mean:##color(white)(…)color(blue)(1y_p=3( 1y_m)-16.21d_m## ##color(red)(Assuming this is the case:color(white)(…)1y_p=3( 1y_m-16.21d_m)…….(2))## Substitute (1) in (2) giving: ##color(white)(.nnnnnnnnn..)1y_p=3( 87.97d_e-16.21d_m)…….(3)## ~~~~~~~~~~~~~To convert##color(white)(.) 16.21d_m into d_e ##~~~~~~~~~~~~~~~~~~ From (1) ##1y_m=87.97d_e -> 365d_m=87.97d_e## Divide both sides by 365 giving: ##1d_m=(87.97)/(365) d_e## ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ##color(white)(.nnnnnnnnn..)1y_p=3( 87.97d_e-(16.21 xx87.97)/(365)d_e )…….(3_a)## I get ##1y_p~~252.19 d_e ## But we need this in years So ##color(blue)(1y_p~~(252.19)/365y_e ~~ 0.69 y_e)##
Our website has a team of professional writers who can help you write any of your homework. They will write your papers from scratch. We also have a team of editors just to make sure all papers are of HIGH QUALITY & PLAGIARISM FREE. To make an Order you only need to click Ask A Question and we will direct you to our Order Page at WriteDemy. Then fill Our Order Form with all your assignment instructions. Select your deadline and pay for your paper. You will get it few hours before your set deadline.
Fill in all the assignment paper details that are required in the order form with the standard information being the page count, deadline, academic level and type of paper. It is advisable to have this information at hand so that you can quickly fill in the necessary information needed in the form for the essay writer to be immediately assigned to your writing project. Make payment for the custom essay order to enable us to assign a suitable writer to your order. Payments are made through Paypal on a secured billing page. Finally, sit back and relax.
About Writedemy
We are a professional paper writing website. If you have searched a question and bumped into our website just know you are in the right place to get help in your coursework. We offer HIGH QUALITY & PLAGIARISM FREE Papers.
How It Works
To make an Order you only need to click on “Order Now” and we will direct you to our Order Page. Fill Our Order Form with all your assignment instructions. Select your deadline and pay for your paper. You will get it few hours before your set deadline.
Are there Discounts?
All new clients are eligible for 20% off in their first Order. Our payment method is safe and secure.