Dividing by a complex number is a similar process to the above - we multiply top and bottom of the fraction by the conjugate of the bottom.
Volume of a sphere is 4/3 πr³
Volume of a ball = 3/4 π (24 ÷ 2)³
Volume of a ball = 3/4 π (12)³
Volume of a ball = 7238.23 cm³
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Answer: Volume of the ball = 7238.23 cm³
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The answer is C. Note that angle C is 180-90-45=45 degrees, so this is a你isosceles right triangle, and it helps if we draw it on a piece of paper. Since angle B =angle C, AB must be equal to AC=4, and BC=4*\sqrt(2), according to the Pythagorean Theorem.
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Answer:
the cubic does not exceed the quadratic until x > 8
Step-by-step explanation:
The attached graph plots the two expressions. The two are equal at x=8. Below that value the expression 7x^2 is greater. Above that value, the expression 7x^3 -x^2 is greater.
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<em>Comment on the question</em>
The directive to "compare the volumes" does not tell anything about the sort of comparison you are expecting. We note that the expression x^3-x^2 is zero or less up to the point where x=1, so we wonder exactly what it is supposed to be modeling. Any real volume will not be negative.
For small values of x, the quadratic is quite a bit larger. However, we know the cubic will grow larger than any quadratic for large values of x. So, the comparison you get will depend on the domain of interest—which is not specified.
The answer is D (the fourth option), during EVAPORATION