Students in a school are asked to pick either football, rugby or tennis to play in their lesson.
1 answer:
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Answer:
36 milliliters of rain.
Step-by-step explanation:
The rate at which rain accumluated in a bucket is given by the function:
Where r(t) is measured in milliliters per minute.
We want to find the total accumulation of rain from <em>t</em> = 0 to <em>t</em> = 3.
We can use the Net Change Theorem. So, we will integrate function <em>r</em> from <em>t</em> = 0 to <em>t</em> = 3:
Substitute:
Integrate:
Evaluate:
36 milliliters of rain accumulated in the bucket from time <em>t</em> = 0 to <em>t</em> = 3.
Answer:
Step-by-step explanation:
Given
Required
Find a
Take log of both sides
Apply law of logarithm
Divide both sides by a
Multiply both sides by -9
Apply law of logarithm
Cancel out log
Rewrite as:
Apply law of indices