7. Stan is serving lemonade at the school's dance out of no
2 answers:
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Answer:
No positive value of n
Step-by-step explanation:
we have to find out for how many positive values of n are both
our-digit integers
Let us consider first cube
we get 4digit lowest number is 1000 and it has cube root as 10.
Thus 10 is the least integer which satisfies four digits for cube.
The highest integer is 9999 and it has cube root as 21.54
or 21 the highest integer.
Considering 3^n we get,
3^10 is having 5 digits and also 3^21
Thus there is no positive value of n which satisfy that both n cube and 3 power n are four digits.
Answer:
Step-by-step explanation:
In order to solve this problem we can make use of the following formula:
where θ is the total angle the basket has turned, ω is the angular velocity and t is the time.
Generally theta is written in radians and omega is written in radians per second. Now, since the revolutions are directly related to the radians and they want us to write our answer in revolutions, we can directly use the provided speeds in the formula, so we can rewrite it as:
where n represents the number of revolutions and f is the frequency at which the basket is turning.
The movement of the cylindrial basket can be split in two stages, when it accelerates and when it decelerates. So let's analye the first stage:
and now let's analyze the second stage, where it decelerates, so we get:
So now that we know how many revolutions the cylindrical basket will take as it accelerates and as it decelerates we can add them to get:
n=18rev+26rev=44rev
So the basket will turn a total of 44 revolutions during this 22s interval.