24 cookies in total, probability of selecting sugar is 6/24 = 1/4 = 25%
Answer:
48x -5
Step-by-step explanation:
(fog)(x) = f(g(x)) = 6(8x)-5 =48-5
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:
c(12 + 9 + 6)
12(2.25c)
Step-by-step explanation:
12c + 12 (3/4c) + 12 (1/2c)
12(1c) + 12(3/4c) + 12 (1/2c)
12(c + 3/4c + 1/2c)
12(2 1/4c)
12(2.25c)
Or
12c + 12 (3/4c) + 12 (1/2c)
12c + 9c + 6c
c(12 + 9 + 6)
3pi/4 is 135 in degrees. A 135-degree angle lies in quadrant 2. In quadrant 2, the x values are negative and the y values are positive.