Answer:
$299
Step-by-step explanation:
Rent+standard deviation 890+206= $1,096
John's rent: $1,395
Z-score: 1395 - 1096=$299
Answer: 5 and 1/3
Step-by-step explanation: To add mixed numbers, first add the fractions.
So here, we have 2/3 + 2/3 which is 4/3.
Then add the whole numbers.
So we have 2 + 2 which is 4.
So our answer is 4 and 4/3.
But notice, that since 4/3 is an improper fraction, or answer is not in lowest terms. 4/3 can be rewritten as the mixed number 1 and 1/3. So 4 and 4/3 is the same as 4 + 1 and 1/3 which is 5 and 1/3.
Since 5 and 1/3 is in lowest terms, this is our final answer.
So we can say that 2 and 2/3 + 2 and 2/3 is 5 and 1/3
Answer:
In the explanation. :)
Step-by-step explanation:
Find the exact value using trigonometric identities.
50
,
3 p
o
i
n
t
Hope this helps. Have a great day!
Solution :
Along the edge 
The parametric equation for is given :
Along edge 
The curve here is a quarter circle with the radius 9. Therefore, the parametric equation with the domain 
is then given by :
Along edge 
The parametric equation for is :
Now,
x = 9t, ⇒ dx = 9 dt
y = 0, ⇒ dy = 0
And
Then :
![$=\int_0^1 \left[\left( 9 \sin \frac{\pi}{2}t\right)^2\left(9 \cos \frac{\pi}{2}t\right)\left(-\frac{7 \pi}{2} \sin \frac{\pi}{2}t dt\right) + \left( 9 \cos \frac{\pi}{2}t\right)^2\left(9 \sin \frac{\pi}{2}t\right)\left(\frac{7 \pi}{2} \cos \frac{\pi}{2}t dt\right) \right]$](https://tex.z-dn.net/?f=%24%3D%5Cint_0%5E1%20%5Cleft%5B%5Cleft%28%209%20%5Csin%20%5Cfrac%7B%5Cpi%7D%7B2%7Dt%5Cright%29%5E2%5Cleft%289%20%5Ccos%20%5Cfrac%7B%5Cpi%7D%7B2%7Dt%5Cright%29%5Cleft%28-%5Cfrac%7B7%20%5Cpi%7D%7B2%7D%20%5Csin%20%5Cfrac%7B%5Cpi%7D%7B2%7Dt%20dt%5Cright%29%20%2B%20%5Cleft%28%209%20%5Ccos%20%5Cfrac%7B%5Cpi%7D%7B2%7Dt%5Cright%29%5E2%5Cleft%289%20%5Csin%20%5Cfrac%7B%5Cpi%7D%7B2%7Dt%5Cright%29%5Cleft%28%5Cfrac%7B7%20%5Cpi%7D%7B2%7D%20%5Ccos%20%5Cfrac%7B%5Cpi%7D%7B2%7Dt%20dt%5Cright%29%20%5Cright%5D%24)
![$=\left[-9^4\ \frac{\cos^4\left(\frac{\pi}{2}t\right)}{\frac{\pi}{2}} -9^4\ \frac{\sin^4\left(\frac{\pi}{2}t\right)}{\frac{\pi}{2}} \right]_0^1$](https://tex.z-dn.net/?f=%24%3D%5Cleft%5B-9%5E4%5C%20%5Cfrac%7B%5Ccos%5E4%5Cleft%28%5Cfrac%7B%5Cpi%7D%7B2%7Dt%5Cright%29%7D%7B%5Cfrac%7B%5Cpi%7D%7B2%7D%7D%20-9%5E4%5C%20%5Cfrac%7B%5Csin%5E4%5Cleft%28%5Cfrac%7B%5Cpi%7D%7B2%7Dt%5Cright%29%7D%7B%5Cfrac%7B%5Cpi%7D%7B2%7D%7D%20%5Cright%5D_0%5E1%24)
= 0
And
x = 0, ⇒ dx = 0
y = 9 t, ⇒ dy = 9 dt
Therefore,
= 0 + 0 + 0
Applying the Green's theorem
Here,
Therefore,
The vector field F is = 
is conservative.
5packages*7/8pounds=35/8 or 4 3/8 or 4.375 pound of fish
Answer=4 3/8 pounds of fish
