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Sever21 [200]
4 years ago
10

Simplify the polynomial below (a^3 + 4a^2 − 7) + (3a^3 − 2a^2 + 1)

Mathematics
1 answer:
klasskru [66]4 years ago
6 0
(a^3+4a^2-7)+(3a^3-2a^2+1)=a^3+4a^2-7+3a^3-2a^2+1\\\\=(a^3+3a^3)+(4a^2-2a^2)+(-7+1)=4a^3+2a^2-6
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Compare the light gathering power of an 8" primary mirror with a 6" primary mirror. The 8" mirror has how much light gathering p
tankabanditka [31]

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

6 0
3 years ago
8x42+3x59-62=n. What does "n" equal?
vitfil [10]
Answer: n=451 8*42+3*59-62=n 336+177-62=n 451=n n=451
6 0
4 years ago
How do you simplify 40/71​
uysha [10]

Answer:

40/71

Step-by-step explanation:

Because 71 is prime so there is no other way to simplify

3 0
3 years ago
Write the equation of a line passing through -1,4 and perpendicular to x+2y=11
Sophie [7]
Y=2x+6
gradient is found from the formula,
\frac{ - 1}{ -  \frac{1}{2} }  = 2
y intercept is found by subbing the values of (-1,4) into the equation y=2x+c
8 0
4 years ago
How much is two thousand three hundred and five-tenths, plus one hundred twenty-five and one-hundredth, plus five thousand ten a
mrs_skeptik [129]
The answer is B. 

Hope that helps, if you need any more help, just ask : )
7 0
3 years ago
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