Answer:
$84.80
Step-by-step explanation:
find the difference between accurate price and written price: 74 - 47 = 27
find written total (before Mrs. Taylor found mistake) by undoing the mean calculation: 82.55 x 12 = $990.60
the total expenses is $27 more than what they thought: 990.60 + 27 = 1017.60
divide accurate total by 12 to find mean: 1017.60 / 12 = $84.80
hope this helps :)
Answer:
Width of the rectangular Park = 11 feet
Step-by-step explanation:
Given that the total length of the fencing is 62 feet. As has to be fenced around a rectangular park , it would be the perimeter of the rectangular park.
Also Shana wants the length of the run to be 20 feet. Hence the length of the park is 20 feet.
Here we will use the formula for perimeter to find the width of the run
Perimeter = 2(l+w)
62=2(l+w)
l+w = 
l+w=31
20+w=31
w=31-20
w=11
Hence the width of the run for her dog in park would be 11 feet.
Since 30÷15 is 2 you now know each party hat is 2 dollars. Now we know that and we can easily find out how much a roll of streamer is. 11-(4x2)=3. 3÷2=1.5. One roll of streamer is $1.50 and one party hat is $2. I'm pretty sure I did this right lol I hope it helps
Answer:
I= (x^n)*(e^ax) /a - n/a ∫ (e^ax) *x^(n-1) dx +C (for a≠0)
Step-by-step explanation:
for
I= ∫x^n . e^ax dx
then using integration by parts we can define u and dv such that
I= ∫(x^n) . (e^ax dx) = ∫u . dv
where
u= x^n → du = n*x^(n-1) dx
dv= e^ax dx→ v = ∫e^ax dx = (e^ax) /a ( for a≠0 .when a=0 , v=∫1 dx= x)
then we know that
I= ∫u . dv = u*v - ∫v . du + C
( since d(u*v) = u*dv + v*du → u*dv = d(u*v) - v*du → ∫u*dv = ∫(d(u*v) - v*du) =
(u*v) - ∫v*du + C )
therefore
I= ∫u . dv = u*v - ∫v . du + C = (x^n)*(e^ax) /a - ∫ (e^ax) /a * n*x^(n-1) dx +C = = (x^n)*(e^ax) /a - n/a ∫ (e^ax) *x^(n-1) dx +C
I= (x^n)*(e^ax) /a - n/a ∫ (e^ax) *x^(n-1) dx +C (for a≠0)
