The expression 3y−24 factored using the GCF is
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Hi there!
<u>FACTS</u> :
The formula for the volume of a cylinder is : V = × r² × h
<u>STEPS TO ANSWER:</u>
You have the diameter of the cylinder, which is 13cm.
In order to have the radius of the cylinder to put in our formula, you'll need to divide the diameter by 2 because the diameter is two times the radius:
13 ÷ 2 = 6.5
Now that you have the radius (6.5) and the height (24cm) of the cylinder, you can put these information in the formula and calculate de volume :
V = × r² × h
V = × <u>6.5²</u> × 24
V = × <u>42.25 × 24</u>
V = × 1,014
V = 3,185.574950......
Since you need to round your answer to the nearest tenth, which means that you will have only one decimal, the volume of the cylindrical container would be about 3,185.6cm³.
There you go! I really hope this helped, if there's anything just let me know! :)
ARITHMETIC CHECK: A sequence is said to be arithmetic if any two consecutive terms differ by the same constant.
So, the test to check if a series is arithmetic is to compute consecutive differences, and see if they all return the same number.
If we subtract the first two terms, we have . If we subtract the third and second terms, we have
.
These two differences returned two different values, so the series is not arithmetic.
GEOMETRIC CHECK: A sequence is said to be geometric if any two consecutive terms are in the same ratio.
So, the test to check if a series is geometric is to compute consecutive ratios, and see if they all return the same number.
If we divide the first two terms, we have
If we divide the third and second terms, we have
Finally, if we divide the last two terms we have
So, all ratios return the same number. This means that the series is geometric, and the common ratio is 1/2