<span>Answer: The derivative of 4pi (4π) is simply zero. In Calculus, the process of differentiation is taking the limit of the given as the change with respect to a certain variable approaches zero. The derivative indicates the slope of a given function, the rate of change with respect to small increments to a reference axis or variable. As our given, 4π, is simply a constant, it does not change with respect to any infinitesimal increment to any variable; thus its derivative is zero.</span>
Answer:
Population = All registered voters in Raleigh city
Population size = 9500
Sample size = 360
Proportion of sample statistic for brown = 0.3167
3008 voters
Step-by-step explanation:
Population refers to all elements which meets the requirement for a specific experiment or research interest.
Number of voters for brown = 114
Number of voters for Feliz = 210
Undecided = 36
Sample statistic for proportion in support of brown :
Proportion = x / n
x = number who said they'll vote for brown
n = sample size
Sample statistic for proportion in support of brown = 114 / 360 = 0.3167
Using the proportion ; number from population who'll vote brown :
Sample proportion * population size
0.3167 * 9500 = 3008 voters
Answer:
12.5 km.
Step-by-step explanation:
Distance = average speed x time = 25 km/h x 0.5 h = 12.5 km.
if wrong, sorry
(but most likely right)
The length of pendulum is 2.485 feet
<h3><u><em>
Solution:</em></u></h3>
Given that,
The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth
<u><em>Therefore, the given formula is:</em></u>

We have to find the length of pendulum that makes one full swing in 1.75 seconds
So the modify the given equation to find "L"

Substitute T = 1.75 seconds and 

Thus length of pendulum is 2.485 feet approximately
Answer: <u><em>512</em></u>
Step-by-step explanation: <u><em>the length of a varies string varies inversely as the frequency of its vibrations. A violin string 10 inches long vibrates at a frequency of 512 cycles per second. Find the frequency of an 8-inch string.</em></u>
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