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defon
3 years ago
9

What is the value of the 19th term in the sequence -1, -5, -9, ...? -77 -73 -71 -22

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0
All right i just earned that today! 
This is the formula An = A1 + ( n-1 )D 
You would take A19 = -1 + ( 19 - 1 ) -4 
-1 + 18(-4) 
-1 + -72
-73 
Hope that helped! 
:)
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What size does the radius of a sphere need to be for its volume to be larger than its surface area? HINT! It is less than 10. HI
Lera25 [3.4K]
We know that
volume of a sphere=(4/3)*pi*r³----> (r/3)*(4*pi*r²)
and
surface area of sphere=4*pi*r²
so
the volume of a sphere=(r/3)*surface area of sphere
therefore
if r=3
volume of a sphere=(3/3)*surface area of sphere
volume of a sphere=surface area of sphere

if r> 3
the term (r/3) is > 0
so
volume of a sphere > surface area of sphere

if r<3
the term (r/3) is < 0
so
volume of a sphere < surface area of sphere

examples
1) for radius r=3 units
volume of a sphere=(4/3)*pi*3³----> 113.04 unit³
surface area=4*pi*3²----> 113.04 units²
volume is equal to surface area

2) for radius r=10 units
volume of a sphere=(4/3)*pi*10³----> 4186.67 unit³
surface area=4*pi*10²----> 1256 units²
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3) for radius r=2 units
volume of a sphere=(4/3)*pi*2³----> 33.49 unit³
surface area=4*pi*2²----> 50.24 units²
volume is <  surface area
7 0
3 years ago
Graph this inequality on the number line. 2&gt;3.2. TIHL -4 -3 -2 -1 0 1 2 3 4 1 &gt; 0-&gt; 1 3 4 N​
postnew [5]

Answer:

  • See below

Step-by-step explanation:

<u>Given inequality:</u>

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Mark the point 3.2 with open dot and shade zone right to that point.

<em>See attached</em>

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frutty [35]

Answer:

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Answer:

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4 0
1 year ago
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7 0
3 years ago
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