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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:
The solution is .
Step-by-step explanation:
It is given that rule start at add
.
From the given information, we get the expression
Simplify the complex fraction.
Taking LCM, we get
Therefore the he solution is .
Answer:
a) YES. Repeating decimal
b) YES. Repeating decimal
c) NO. Decimal neither terminates nor repeats
d) YES. Terminating decimal
Step-by-step explanation:
Any rational number can be written as a fraction, that is, a division of integers.
a) The number has a repetitive period of 54. It can be expressed as a fraction because its decimal are repeating forever
b) The number 0.16666... (expressed as a repeating 6) can also be converted to a fraction because it's a repeating decimal
c) The number 0.5473... cannot be expressed as a fraction because the ellipsis (...) means the decimals continue with no limit and no pattern can be found (no repetitive decimal)
d) The number 0.378 can be easily expressed as a fraction because it has a finite number of decimals (no ellipsis) or a terminating decimal