Answer:Jeff's restaurant
Step-by-step explanation:
I'm pretty sure its right
Answer:
1/13
Step-by-step explanation:
there are 4 kinds and 52 cards so its 4/52 which simplifies to 1/13
Answer:
![log x-\frac{log(x^{2}+1) }{2}-tan^{-1} x](https://tex.z-dn.net/?f=log%20x-%5Cfrac%7Blog%28x%5E%7B2%7D%2B1%29%20%7D%7B2%7D-tan%5E%7B-1%7D%20x)
Step-by-step explanation:
step 1:- by using partial fractions
......(1)
<u>step 2:-</u>
solving on both sides
![1-x=A(x^{2} +1)+(Bx+C)x......(2)](https://tex.z-dn.net/?f=1-x%3DA%28x%5E%7B2%7D%20%2B1%29%2B%28Bx%2BC%29x......%282%29)
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
![\\\int\limits^ {} \, \frac{1-x}{x(x^{2}+1) } d x =\int\limits^ {} \frac{1}{x} d x +\int\limits^ {} \frac{-x}{x^{2}+1 } d x -\int\limits \frac{1}{x^{2}+1 } d x](https://tex.z-dn.net/?f=%5C%5C%5Cint%5Climits%5E%20%7B%7D%20%5C%2C%20%5Cfrac%7B1-x%7D%7Bx%28x%5E%7B2%7D%2B1%29%20%7D%20d%20x%20%3C%2Fp%3E%3Cp%3E%3D%5Cint%5Climits%5E%20%7B%7D%20%5Cfrac%7B1%7D%7Bx%7D%20d%20x%20%2B%5Cint%5Climits%5E%20%7B%7D%20%5Cfrac%7B-x%7D%7Bx%5E%7B2%7D%2B1%20%7D%20%20d%20x%20-%5Cint%5Climits%20%5Cfrac%7B1%7D%7Bx%5E%7B2%7D%2B1%20%7D%20%20d%20x)
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
![log x-\frac{log(x^{2}+1) }{2}-tan^{-1} x](https://tex.z-dn.net/?f=log%20x-%5Cfrac%7Blog%28x%5E%7B2%7D%2B1%29%20%7D%7B2%7D-tan%5E%7B-1%7D%20x)
Answer:
Option C
Step-by-step explanation:
Exteriore angle property: Exterior angle equals the sum of opposite interior angles.
∠I = 77° + 56°
= 133°
Statistical questions: A, C, E, because they all talk about students, where B and D talk about adults and people in general. Frank just wants to know about students.