In zeller's congruence method, what does the z-index stand for?

answer:

zeller's congruence is an algorithm devised by christian zeller to calculate the day of the week for any julian or gregorian calendar date. it can be considered to be based on the conversion between julian day and the calendar date.

step-by-step explanation:

for the gregorian calendar, zeller's congruence is

{\displaystyle h=\left(q+\left\lfloor {\frac {13(m+1)}{5}}\right\rfloor +k+\left\lfloor {\frac {k}{4}}\right\rfloor +\left\lfloor {\frac {j}{4}}\right\rfloor -2j\right){\bmod {7}},}{\displaystyle h=\left(q+\left\lfloor {\frac {13(m+1)}{5}}\right\rfloor +k+\left\lfloor {\frac {k}{4}}\right\rfloor +\left\lfloor {\frac {j}{4}}\right\rfloor -2j\right){\bmod {7}},}

for the julian calendar it is

{\displaystyle h=\left(q+\left\lfloor {\frac {13(m+1)}{5}}\right\rfloor +k+\left\lfloor {\frac {k}{4}}\right\rfloor +5-j\right){\bmod {7}},}{\displaystyle h=\left(q+\left\lfloor {\frac {13(m+1)}{5}}\right\rfloor +k+\left\lfloor {\frac {k}{4}}\right\rfloor +5-j\right){\bmod {7}},}

where

h is the day of the week (0 = saturday, 1 = sunday, 2 = monday, 6 = friday)

q is the day of the month

m is the month (3 = march, 4 = april, 5 = may, 14 = february)

k the year of the century ({\displaystyle year{\bmod {1}}00}{\displaystyle year{\bmod {1}}00}).

j is the zero-based century (actually {\displaystyle \lfloor year/100\rfloor }\lfloor year/100\rfloor ) for example, the zero-based centuries for 1995 and 2000 are 19 and 20 respectively (to not be confused with the common ordinal century enumeration which indicates 20th for both cases).

{\displaystyle \lfloor }{\displaystyle \lfloor } is the floor function or integer part

mod is the modulo operation or remainder after division

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.

the homeowners insurance cost for a 115,000 wood frame house is 80,500.

step-by-step explanation:

it is given that the coverage rate for wood frame house is 0.7.

the value of wood frame house is 115,000.

.

homeowners insurance cost for a 115,000 wood frame house is

therefore the homeowners insurance cost for a 115,000 wood frame house is 80,500.