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german
3 years ago
12

Please help!

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
7 0

Answer:

Step-by-step explanation:

cylinder's height=3×(diameter of sphere)=3×6=18 cm

radius of cylinder=3 cm

volume of cylinder=π r²h=π(3)²×18=162 π cm³

volume of sphere=4/3 π(3)³=36 π cm³

reqd. empty space=162 π-3×36π=54 πcm³

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1.) Which domain restrictions apply to the rational expression? 14x-2x / x^2-7x
mezya [45]

Answer:

3. \displaystyle 1\frac{1}{3} = x

2<em>C.</em> \displaystyle III.

2<em>B.</em> \displaystyle I.

2<em>A.</em> \displaystyle II.

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Step-by-step explanation:

3. <em>See</em><em> </em><em>above</em>.

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2<em>A</em>. The keyword is total, which signifies addition, so you would choose "II.".

1. Base this off of the denominator. Knowing that the denominator CANNOT be zero, you will get this:

\displaystyle x^2 - 7x \\ x[x - 7] = 0; 7, 0 = x \\ \\ Set-Builder\:Notation: [x|7, 0 ≠ x] \\ Interval\:Notation: (-∞, 0) ∪ (0, 7) ∪ (7, ∞)

I am joyous to assist you anytime.

5 0
3 years ago
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alexira [117]

Answer:

r>6

Step-by-step explanation:

5(6+3r) +7>127

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37+15r>127

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15r>90

r=6

3 0
3 years ago
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