Answer:
True options: 1, 2 and 5
Step-by-step explanation:
From the given diagram, you can see that the center of the hyperbola is placed at the origin, so first option is true (see attached diagram for definition of center, vertices, foci, i.e.)
There are two vertices of the hyperbola, they are placed at (-6,0) and (6,0), so second option is true.
The transverse axis is the segment connecting vertices, this segment is horizontal, so option 3 is false.
The foci are not placed within the rectangular reference box, so this option is false.
The directrices are vertical lines with equations 
, so this option is true.
Answer: a= 1.21
Step-by-step explanation:
Note: This is a compound interest problem
Step 1
The value of the antique after one year is:
100% + 10% of the purchase price
= 110% of 200
=110/100 of 200
=1.10 × 200
Step 2
The value after two years is:
110% of the value after one year
=110% of (1.10 × 200)
=110/100 of (1.10× 200)
=1.10×(1.10×200)
=1.21×200
Step 3
Expressing the above solutionin the form 200a:
= 200× a = 200 × 1.21
|a=1.21
Thanks
The last 2 shapes.
When you rotate both of them 360 degrees only at 180 and back at 360 it looks same.
Answer:
y''=-1.26
Step-by-step explanation:
We are given that 
We have evaluate the second order derivative of y w.r.t. x when x=2 and y=3.
Differentiate w.r.t x
Then , we get
Again differentiate w.r.t.x
Then , we get
Using value of y'
Substitute x=2 and y=3
Then, we get 
Hence,y''=-1.26
Answer:
A) b) and c) answer has been explained below.
Step-by-step explanation:
For the question would use 1's and 0's and taking probabilities to be equal for both using random test pattern whose formula is when p = q
then Simplify to
P[k] = nCk /2^n
A.Probability that all bits are 1s
16c16/2^16 = 1/65536
B. Probability that all bits are 0s
16c0/2^16 = 1/65536
C.the probability that exactly 8 bits are 1s and 8 bits are 0s
16c8/2^16 = 12870/65536 =>0.1963 ≈ 19.63%
