Sandra paid $85 for a dress that was on sale for 50% off. What was the original price of the dress?
1 answer:
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we have to first convert fraction of hours into minutes
1 hour is equivalent to 60 minutes
then 3/4 hour is - 3/4 of 60
when the of function is used we have to multiply the 2 numbers
then
3/4 of an hour is equivalent to 45 minutes
then we have to add 5 hours and 45 minutes to 11.32 pm
add 5.45 to 11.32
11.32
5.45 +
-------
16.77
then its 16 hours and 77 minutes
an hour has only 60 minutes so we subtract 60 minutes from 77 minutes and add that hour to 16 hours
16 hours + 1 = 17 hours
77 minutes - 60 minutes = 17 minutes
17 hours 17 minutes
time is given in pm therefore its a 12 hour clock
so we have to subtract 12 hours from 17 hours 17 minutes
17.17 hours - 12 hours = 5.17
the new time is 5.17 am of the next day
Answer:
(1/4)*(e⁶ - 7)
Step-by-step explanation:
a) Given
x − y = 0 if x = 0 ⇒ y = 0
x − y = 2 if x = 0 ⇒ y = -2; if y = 0 ⇒ x = 2
x + y = 0 if x = 0 ⇒ y = 0
x + y = 3 if x = 0 ⇒ y = 3; if y = 0 ⇒ x = 3
then we show the region R in the pics 1 and 2.
b) We make the change of variables as follows
u = x + y
v= x - y
If
x - y = 0 ⇒ v = 0
x − y = 2 ⇒ v = 2
x + y = 0 ⇒ u = 0
x + y = 3 ⇒ u = 3
Where u is the horizontal axis and v is the vertical axis, the new region S is shown in the pic 3.
c) We evaluate ∫∫R (x + y)*e∧(x² - y²)dA
The procedure is shown in the pic 4, where we have to calculate the Jacobian in order to use it to get the answer.
