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neonofarm [45]
2 years ago
12

An observer took a time-exposure photograph of polaris and five nearby stars. how many hours were required to show their star pa

ths
Mathematics
1 answer:
olga55 [171]2 years ago
5 0
Photographing stars requires you to keep your exposure open for a long time. Taking pictures of star trails would take about 30 minutes to three hours. If you multiply that for the 6 stars stated above in the problem then you would be needing that much time if the stars were close and approximately 3 to 18 hours capture their star trails if they were far apart from each other.
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What are the explicit equation and domain for a geometric sequence with a first term of 2 and a second term of −8?
Alexxx [7]
The common ratio in a geometric sequence is the ratio between 2 consecutive terms:

-8/2=-4, 

then the sequence is  2, -8, 32, -128, -512, 2048, ...

let a_n be the nth term of the sequence, then 

a_1= 2
a_2=2(-4)
a_3=2(-4)(-4)=2(-4)^{2}
a_4=2(-4)(-4)(-4)=2(-4)^{3}
.
.
.
so clearly a_n=2(-4)^{n-1}

and, clearly n are integers >0, since we have a 1st term, a second term and so on... of a sequence (we do not have a "zero'th term"!

Answer:

<span>C. an=2(-4)^n-1; all integers where n>0</span>
5 0
3 years ago
Factor the polynomial by its greatest common monomial factor.<br> 3b^5+15b^4−18b^7
Natasha2012 [34]

Answer:

Step-by-step explanation:

3b⁵ + 15b⁴ - 18b⁷ = 3b⁵ + [3*5*b⁴] - [6*3*b⁷]

=3b⁴*( b + 5 - 6b³)

3 0
2 years ago
10. Evaluate if: y = 4 and z = -2
Bas_tet [7]

Substitute with y = 4 and z = -2

= 4^2*(-2)/4 + 10

= 16*(-2)/4 + 10

= -32/4 + 10

= -8 + 10

= 2

Hope This Helped! Good Luck!

6 0
2 years ago
Read 2 more answers
The base of a parallelogram is 15.25 cm, side length is 12.25 cm, and height is 6.8 cm.
Vaselesa [24]

Answer:

The area is 103.7 cm

Step-by-step explanation:

Multiply the base by the height:

15.25 * 6.8 = 103.7

♥

5 0
2 years ago
You purchase 5 sliders and an order of French fries for $9.25. If fries cost $2, what is the cost of a single slide
nadya68 [22]

Answer:

$1.45

Step-by-step explanation:

9.25 - 2 = 7.25

7.25 ÷ 5 = 1.45

6 0
2 years ago
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