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2 answers:
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Answer:
A
Step-by-step explanation:
When solving for x as an exponent, we need to use logarithms in order to undo the operation and rearrange the terms. We use log rules to bring down the exponent and solve. Logarithms are the inverse operations to exponents and vice versa. We have one special kind of logarithm called the natural logarithm whose base is e. We write it as ln. Since our base is e here, we will use the natural logarithm to rearrange and isolate x.
We begin by applying the natural logarithm to each side.
Log rules allow use to rearrange the exponent as multiplication in front of the log.
ln e as an inverse simplifies to 1.
We now apply the inverse operations for subtraction and multiplication.
Option A is correct.
Answer:
The volume of cylinder and the volume of a cone, have equal volume measurements. So, the answer is C).
Step-by-step explanation:
Cylinder:
-Use the formula for the volume of a cylinder. Use both the radius and height for the formula in order to solve and get the volume:
-Solve:
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Cone:
-Use the formula for the volume of a cone and the radius and height for the formula and solve the formula to get the volume:
-Solve:
-So, according to the volume of a cylinder and the volume of a cone, They both have the same volume.
Cylinder:
Cone: