Answer:
neither
geometric progression
arithmetic progression
Step-by-step explanation:
Given:
sequences:
To find: which of the given sequence forms arithmetic progression, geometric progression or neither of them
Solution:
A sequence forms an arithmetic progression if difference between terms remain same.
A sequence forms a geometric progression if ratio of the consecutive terms is same.
For :
Hence,the given sequence does not form an arithmetic progression.
Hence,the given sequence does not form a geometric progression.
So, is neither an arithmetic progression nor a geometric progression.
For :
As ratio of the consecutive terms is same, the sequence forms a geometric progression.
For :
As the difference between the consecutive terms is the same, the sequence forms an arithmetic progression.
D) Vertices: (1, -1), (-11, -1); Foci: (-15, -1), (5, -1)
Answer:
There are 75 total cubes in the box.
Step-by-step explanation:
If 0.4 is 30, then divide 30 by 4 and then multiply that by 3, because that would be the answer for red or yellow, then just multiply 22.5 x 2 to find both red and yellow. Finally, add 30 and 45 for your answer.
Answer:
1.778 times more or 16/9 times more
Step-by-step explanation:
Given:
- Mirror 1: D_1 = 8''
- Mirror 2: D_2 = 6"
Find:
Compare the light gathering power of an 8" primary mirror with a 6" primary mirror. The 8" mirror has how much light gathering power?
Solution:
- The light gathering power of a mirror (LGP) is proportional to the Area of the objects:
LGP ∝ A
- Whereas, Area is proportional to the squared of the diameter i.e an area of a circle:
A ∝ D^2
- Hence, LGP ∝ D^2
- Now compare the two diameters given:
LGP_1 ∝ (D_1)^2
LGP ∝ (D_2)^2
- Take a ratio of both:
LGP_1/LGP_2 ∝ (D_1)^2 / (D_2)^2
- Plug in the values:
LGP_1/LGP_2 ∝ (8)^2 / (6)^2
- Compute: LGP_1/LGP_2 ∝ 16/9 ≅ 1.778 times more
Answer:
BCD= 15
Step-by-step explanation:
3x-15+?=180
3x=180
x=60
x=60
3(60)-15=180
180-15=165
