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:
1) 0.700
2) 0.730
3) 0.030
4) 0.959
Step-by-step explanation:
1) proportion of support for the ban with at least one child =
= 
= 0.700
2) proportion of support for the ban with no child =
= 
= 
= 0.730
3) Difference in proportion of supporters for the ban between those with atleast one child and those with no child
= 0.700 - 0.730
= -0.03
4) Relative risk = 
= 
= 0.959
The system has two solutions.
You can tell because the second equation is a quadratic and the first is a line, so the line passes through the quadratic twice.
Answer:
"85.7%" is the right answer.
Step-by-step explanation:
According to the question,
The total capacity of water tank will be:
⇒ 
The total volume of water will be:
⇒ 
Now,
The percentage of total capacity will be:
= 
= 
By putting the values, we get
= 
= 
%
You have the value for y, so you substitute that equation for y, times three because there are three yS.
So you have: 2x + 3y = 10
2x + 3 x 2x + 4 or 2x + 3(3x + 4)
so the answer would be B, 2x + 3(3x + 4)
