Answer:
sh 23000
Step-by-step explanation:
Amount = principal + interest = 20000+3000 = sh 23000
The sets of numbers 7, 24, 25 and 9, 40, 41 are Pythagorean triples. Use what you know about the Pythagorean Theorem and explain
1 answer:
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Answer:
Anything in the form x = pi+k*pi, for any integer k
These are not removable discontinuities.
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Explanation:
Recall that tan(x) = sin(x)/cos(x).
The discontinuities occur whenever cos(x) is equal to zero.
Solving cos(x) = 0 will yield the locations when we have discontinuities.
This all applies to tan(x), but we want to work with tan(x/2) instead.
Simply replace x with x/2 and solve for x like so
cos(x/2) = 0
x/2 = arccos(0)
x/2 = (pi/2) + 2pi*k or x/2 = (-pi/2) + 2pi*k
x = pi + 4pi*k or x = -pi + 4pi*k
Where k is any integer.
If we make a table of some example k values, then we'll find that we could get the following outputs:
- x = -3pi
- x = -pi
- x = pi
- x = 3pi
- x = 5pi
and so on. These are the odd multiples of pi.
So we can effectively condense those x equations into the single equation x = pi+k*pi
That equation is the same as x = (k+1)pi
The graph is below. It shows we have jump discontinuities. These are <u>not</u> removable discontinuities (since we're not removing a single point).
The mean or average speed of a mobile moving north is: <u>Vprom= 20.575 m/sec</u>
The average speed of a series of given speed values is calculated by <u>summing</u> each of the <u>speeds</u> and then <u>dividing</u> by the number of speeds , as follows:
Speeds:
V1=18.5m/s
V2=22m/s
V3=20.3m/s
V4=21.5m/s
V avg =?
Average V = ( V1+V2+V3 +V4)/4
Vavg = (18.5m/s + 22m/s +20.3m/s + 21.5m/s)/4
Vavg = 20.575nm/sec
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