F(x , y) = x + y - xy, D is the closed triangular region with vertices (0, 0), (0 , 2) , and (4 , 0)
X^1/2 ( x + 3) (x - 6)
= x^1/2 ( x^2 - 3x - 18)
= x^5/2 - 3x^3/2 - 18x^1/2
= (sqrt x)^5 - 3 (sqrt x)^3 - 18x^1/2
Option 1
Answer:
Option A is correct : . a=115, b=71
Step-by-step explanation:
Consider the attached file.
AB is parallel to CD.
∠1+ a° = 180° (since sum of linear pairs is 180°) ---(A)
And ∠1 = ∠2 because they are corresponding angles.
∠1 = ∠2 = 65°
Putting this value in (A)
⇒65°+ a° = 180°
⇒a° = 180°-65°
⇒a° = 115°
∠3+ 109° = 180°(since sum of linear pairs is 180°) ---(B)
⇒∠3 = 180°-109°
⇒∠3 = 71°
Now, ∠3 = b° (because they are corresponding angles and corresponding angles are equal)
⇒∠3= b°= 71°
Thus Option A is correct : . a=115, b=71
Answer:
53.3333.
Step-by-step explanation:
Since were asking to put 32 in the form of this ratio, we need to first turn the ratio into a fraction, in our case it is 5/3. Next we multiply 32 by 5/3 or to make it more simple multiply 32 by 5 to get 160, then divide 3 to get 53.3...
Hope this helps.
Answer: 7 weeks
Step-by-step explanation:
Let x represent number of weeks
Let y represent the total amount
Amount = Paycheck deposited * number of weeks + Initial amount
y = 125x + 475
Number of weeks until she has $1350
1350 = 125x + 475
125x+475-475=1350-475
125x=875
x=7
Therefore, the student will have $1350 in her bank account after 7 weeks
