Mrs. Cook is a teacher whose salary is $23,125 for a 185-day school year. In Mrs. Cook's school district, substitute teachers ar
e paid at a rate of $90 per day. If a substitute is paid to teach Mrs. Cook's class in her absence one day, how much less does the school district pay in salary by paying a substitute teacher instead of paying Mrs. Cook for that day? *
1 answer:
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Answer:
cos3x
Step-by-step explanation:
y" - y' + 9y = 3 sin 3x
here will be replaced by
where
is coefficient of x
y=cos3x
hence Particular solution is cos3x
Answer:
48 different houses can be designed from these plans.
Step-by-step explanation:
There are four options:
O1 - O2 - O3 - O4
O1 is the number of different living rooms. So O1 = 3.
O2 is the number of different bedroom configurations. So O2 = 4.
O3 is the number of different garage styles. So O3 = 2.
O4 is the number of different outside configurations. So O4 = 2.
In all,
48 different houses can be designed from these plans.
We use long division to divide
There is no x term in x^2 -1 so we put 0x
x + 1
----------------------------
x^2+0x-1 x^3+ x^2 + x+ 2
x^3+0x^2-x
-----------------------------(subtract the bottom from top)
x^2 +2x + 2
x^2 +0x - 1
--------------------------------(subtract the bottom from top)
2x + 3
-----------------------------------------
Quotient : x+1
Remainder : 2x+3