write an equation to find the number of students in mr boggs homeroom if the total number of students is 90
2 answers:
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Answer:
The second number would be 8 or 16
Step-by-step explanation:
Let x be the unknown number,
Since, first number = 17,
So, the difference between x and 17 = |17 - x |
According to the question,
|17 - x | = 9
17 - x = ± 9
17 - x = 9 or 17 - x = -9
17 - 9 = x or 17 + 9 = x
⇒ x = 8 or x = 26
Hence, the second number would be 8 or 26.
Answer:
Step-by-step explanation:
I used calculus for this, as I'm not sure there's any other way to do it and to do it as easily. This is the volume of a solid found by using the disk method of rotation:
where R(x) is the outer shell of the solid and r(x) is the space inbetween the solid and the axis of rotation. There is no space between the solid and the axis of rotation, so r(x) = 0. R(x) is the height of the solid which is 3. Therefore, f(x) = 3 and that's the function we put into the formula with the lower bound of 3 and the upper bound of 5:
and
and integrating:
and using the First Fundamental Theorem of Calculus:
V = π(9(5) - 9(3)) and
V = π(45 - 27) so
V = 18π units cubed or in decimal format,
V = 56.549 units cubed