Answer:
I believe the answer would be or 3.8637
Step-by-step explanation:
<h2>
Answer: 2x³ - 3x² + 7x + 8</h2>
Step-by-step explanation:
Sum = 4x³ - 3x² + 3x + 8 + (6x³ - 7x² + 4x) + (-8x³ + 7x²) <em>[write the terms as given by the quetion and group like terms]</em>
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⇒ Sum = (4x³ + 6x³ - 8x³) + (- 3x² - 7x² + 7x²) + ( 3x + 4x) + 8 <em> [complete the addition of like terms]</em>
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∴ sum = 2x³ - 3x² + 7x + 8
Answer:
there are infinite solutions
Step-by-step explanation:
if you add y-3 to both sides of the first equation, you will see that it is equal to the second equation, so they are the same line. Therefore, there are infinite solutions to this system
Answer:
Step-by-step explanation:
look, area = length x width
so that means that the area of this rectangle is
= 11 1/2 * 8
= 23/2 * 8
= 23 * 4 (simplified)
= 92 in^2
We will have the following:
First, we can see that the volume of the sphere and the regular cone are given by:
And:
Now, since the volume of the cone is inscribed by a maximum stablished by the sphere, we know that the maximum height for the cone will be equal to the radius of the sphere, so, we re-write the volume of the cone:
i. Now, we determine the ratio of both volumes as follows:
[Cone to sphere]
So, the ratio of the volumes of the cone to the sphere will be of 1:4.
ii. And the expression in terms of r for the volume inside the sphere but outside the cone will be:
So, the expression is: