<u>Part 1</u>
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We need to make sure the radical is defined, meaning the radicand has to be non-negative. Thus, the domain is 
<u>Part 2</u>
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We need to make sure the radical is defined, meaning the radicand has to be non-negative. Thus,

Thus, the domain in interval notation is 
Answer:
3142.86 cubic cm
Step-by-step explanation:
volume of cone is given by formula
volume of cone = 1/3(area of base*height)
Given radius of base = 10cm
we know area of circle is given by
where r is radius of circle
thus area of base of cone is calculated below

area of base of cone is 314.2857 square cm
height = 30 cm
Thus volume of cone = 1/3* (area of base*height)
= 1/3(314.2857*30)
= 1/3 *9428.571 = 3142.857.
Thus, volume of cone is 3142.857 cubic cm.
volume of cone to the nearest hundredth is 3142.86 cubic cm
It is easier to understand the problem if you create a number based on the criteria and then perform the computations. I am going to choose: 111 22 33 4
There are 10 options for the first "1" and only 1 option for the other two 1's
There are 9 remaining options for the first "2" and only 1 option for the other 2
There are 8 remaining options for the first "3" and only 1 option for the other 3
There are 7 remaining options for the "4"
10 x 1 x 1 x 9 x 1 x 8 x 1 x 7
10 x 9 x 8 x 7 = 5,040
Answer: 5,040
Answer:
x = -8
Step-by-step explanation:
16+6-6x-4=-7x+3+7
Combine like terms
18 -6x = -7x+10
Add 7x to each side
18-6x+7x = -7x+7x+10
18+x = 10
Subtract 18 from each side
18+x-18 = 10-18
x = -8