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Law Incorporation [45]
2 years ago
15

What is the value of the fourth term in a geometric sequence for which a1=10 and r =0.5

Mathematics
1 answer:
Lena [83]2 years ago
4 0

Answer: 1.25

Step-by-step explanation:

The explicit formula for the sequence is a_{n}=10(0.5)^{n-1}

Substituting in n=4,

a_{4}=10(0.5)^{4-1}=\boxed{1.25}

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Hi there!

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Now we calculate the value of the square roots which have an integer as a solution

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3 0
3 years ago
Carter and his family are driving from Atlanta to Raleigh. They drive for 2 hours and 45 minutes at an average speed of 60 miles
Blizzard [7]
Driving for 2 hours and 45 minutes at an average speed of 60 miles per hour.
2 hours and 45 minutes = 2 hours and 45 minutes 0r 2.75 hrs                                                                  _________                                                                  60minutes
D = rt = 60mph *2.75hr = 165mi 

3 0
3 years ago
Read 2 more answers
An airplane takes 3 hours to travel a distance of 1680 miles with the wind. The return trip was 4 hours against wind. Find the s
nasty-shy [4]

Answer:

Speed of plane in still air: 490  mile/hour

speed of wind: 70  mile/hour

Step-by-step explanation:

still speed = x        wind speed = w

with wind: speed = still + wind

(x+w) * 3 = 1680     ...a

against wind: speed = still - wind

(x-w) * 4 = 1680    ...b

b-a ... 4x-4w-3x-3w = 0

x-7w = 0

x = 7w

substitution: (7w+w)*3 = 1680      8w = 560       wind speed (w) = 70

still speed (x) = 7w = 490 mile/hour

5 0
3 years ago
Find the value of the trigonometric ratio, cos L.
Alekssandra [29.7K]

Answer:

b/h

Step-by-step explanation:

remember SOH CAH TOA. Sin = opposite/hypotenuse, cos = adjacent/hypotenuse, tan = opposite/adjacent. So in this case use CAH for cos L. Adjacent to L is b, and the hypotenuse is h. Therefore the answer is b/h.

5 0
3 years ago
Solve this. Please and thank you.
Cerrena [4.2K]
The answer is d) -3/2=x
8 0
3 years ago
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