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professor190 [17]
3 years ago
7

What is the fifth term of the geometric sequence? 5, 15 , 45, ...

Mathematics
1 answer:
Virty [35]3 years ago
6 0

The geometry sequence has the equation a(n)=5(3^{n-1}).

The 5 represents the first number of the sequence and the 3 represents the common ratio.

a(5) = 5(3^{5-1})=5(3^{4})=5(81)=405

answer: 405

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An earth satellite remains in orbit at a distance of 11550 km from the center of the earth. what speed would it have to maintain
marishachu [46]
<span>11,550 km has to be changed to 11,550,000 meters

G · m · t² = 4 · π² · r³  we can change that to
</span>t² = (4 · π² · r³) / <span>(G · m )
t^2 = 4*PI^2*r^3 / (G*m)
</span>t^2 = 4*PI^2*<span>(11,550,000)^3 / 6.67*10^-11*5.98*10^24kg
t^2 = </span> <span> <span> <span> 6.083*10^22 </span> </span> </span> <span><span> </span> </span> / <span> <span> <span> 3.9</span></span></span>9 * 10^14
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t = <span>12,350 seconds
</span>and its orbital distance it travels is 11,550 * 2*PI = 70,050 kilometers

Therefore, it is traveling at 70,050 km / 12,350 second which equals
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Source:
http://www.1728.org/kepler3a.htm



4 0
4 years ago
What is the sin inverse of (sine 9pi/7)?
Blababa [14]
A calculator can help you with that.

In radians, arcsin(sin(9π) / 7) = 0.
3 0
4 years ago
Somebody help me please
andrew-mc [135]
The justification for step 3 is incorrect. It should be x = 10/8.

Hope this helps =)
7 0
4 years ago
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