GP = 1/2 , 1/4 , 1/8 , 1/16
1st) the common ratio is (1/4 : 1/2 ) = 1/2, so r =1/2
2nd) the sum of a GP is:
S= a(1-rⁿ)/(1-r)
S=(1/2).[1-(1/2)⁴]/(1-1/2) = 15/16
Answer:
d. about 50 times larger
Step-by-step explanation:
The given expressions for magnitude (M) can be solved for the intensity (I). Then the ratio of intensities is ...

The larger earthquake had about 50 times the intensity of the smaller one.
The inequality that can be used to determine x is 
<u />
<h3>How to generate the inequality</h3>
<u>Given data</u>
Rental company charge per day = $31.91
Rental company charge per mile driven = $0.07
Hudson plans to drive 100 miles
Hudson has at most $70
solution
let x represent he maximum number of days Hudson can afford to rent while staying on budget. cost of number of days is:
$31.91 * x= 31.91x
As Hudson plans to ride 100 miles; cost is:
100 * 0.07 = $7
therefore number of days plus 100 miles ride is:
31.91x + 7
with a limit of less than or equal to the budget we have:

The inequality above could be used to determine x
Read more on inequality here: brainly.com/question/11613554
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x*-8 would be -8x
then you would divide -8 by both sides
should get a decimal as your answer I believe
The volume of the cylindrical water tank that has a length of 20 feet and a radius of 12 feet is about <u>9,048</u> cubic feet.
The correct option is option <em>d</em>;
d. 9,048
<h3>What is the volume of a solid?</h3>
The volume of a solid indicates the amount of space the solid takes at a location.
The formula for finding the volume of the cylindrical tank is presented as follows;
<em>V</em> = π·r²·L
Where;
r = The radius of the tank
L = The length of the tank
From a similar question on the website, we have;
The length of the tank, <em>L</em> = 20 feet
Therefore;
The volume of the tank, <em>V</em> = π × 12² × 20 ≈ 9048
- The volume of the water tank is about <u>9,048</u> cubic feet
Learn mort about finding the volume of a solid here:
brainly.com/question/23725200
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