The sum of 237 and six times the opposite of a number is 405. What is the number?
2 answers:
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I'm assuming the limit is supposed to be
Multiply the numerator by its conjugate, and do the same with the denominator:
so that in the limit, we have
Factorize the first term in the denominator as
The terms cancel, leaving you with
and the limand is continuous at , so we can substitute it to find the limit has a value of -1/18.
Answer:
Volume of round cake pan = volume of cylinder
Volume of a cylinder = (where r is the radius and h is the height)
Radius = diameter ⇒
⇒ volume of round cake pan =
= 76.97 in³ (nearest hundredth)
Volume of rectangular cake pan = volume of rectangular prism
volume of rectangular prism = (where w is the width, l is the length and h is the height)
⇒ volume of rectangular cake pan = 6 x 9 x 2 = 108 in³
As 108 > 76.97, the rectangular cake pan has a larger volume