Answer:
Step-by-step explanation:
step 1:- by using partial fractions
![[tex]\frac{1-x}{x(x^{2}+1) } =\frac{A(x^{2}+1)+(Bx+C)(x }{x(x^{2}+1) }](https://tex.z-dn.net/?f=%5Btex%5D%5Cfrac%7B1-x%7D%7Bx%28x%5E%7B2%7D%2B1%29%20%7D%20%3D%5Cfrac%7BA%28x%5E%7B2%7D%2B1%29%2B%28Bx%2BC%29%28x%20%7D%7Bx%28x%5E%7B2%7D%2B1%29%20%7D)
......(1)
<u>step 2:-</u>
solving on both sides
substitute x =0 value in equation (2)
1=A(1)+0
<u>A=1</u>
comparing x^2 co-efficient on both sides (in equation 2)
0 = A+B
0 = 1+B
B=-1
comparing x co-efficient on both sides (in equation 2)
<u>-</u>1 = C
<u>step 3:-</u>
substitute A,B,C values in equation (1)
now
by using integration formulas
i) by using 
.....(b)
.....(c)
<u>step 4:-</u>
by using above integration formulas (a,b,and c)
we get answer is
Answer:
Esma can fit 3 packages in the box because 20+10+10=30 and 5+2+2=9 so if you add up 9 three times you get 27 and that is the closest number you can get before going over.
Step-by-step explanation:
Part A:
f(x)=30(1.2)^x
f(x)=45+3x
Part B: Neighborhood A is 74.6496, so that rounds to 75 homes, and Neighborhood C is exactly 60 homes
Part C:
i would graph them in a graphing calculator, and use the functions to see where the 2 lines intersect.
The x value for when they intersect (# of years) is 3.3207883, so approx. 3.3 years for them to be equal
Answer: 8 servings can be made
Step-by-step explanation:
Concept:
As we can see from the question there are two different units applied [gallons] and [cups]; therefore, we need to do the unit conversion.
<u>1 gallon = 16 cups</u>
Solve:
Given there are 3 gallons of brown stock, we need to convert gallons into cups.
- 1 gallon = 16 cups
- 3 gallons = 16 × 3 = 48 cups
Then, divide 48 cups by 6 cups to find out how many servings can be made.
- 48 cups / 6 cups = 8 servings
Hope this helps!! :)
Please let me know if you have any questions
Answer:
1.01010 x 10³. Might vary if it asks for specific significant figures.
